WlzType.h

Go to the documentation of this file.

#ifndef WLZ_TYPE_H
#define WLZ_TYPE_H
#if defined(__GNUC__)
#ident "University of Edinburgh $Id: 13fbea55a516d5d100ed0986e91e288f132eff95 $"
#else
static char _WlzType_h[] = "University of Edinburgh $Id: 13fbea55a516d5d100ed0986e91e288f132eff95 $";
#endif
/*!
* \file         libWlz/WlzType.h
* \author       Bill Hill
* \date         April 2001
* \version      $Id: 13fbea55a516d5d100ed0986e91e288f132eff95 $
* \par
* Address:
*               MRC Human Genetics Unit,
*               MRC Institute of Genetics and Molecular Medicine,
*               University of Edinburgh,
*               Western General Hospital,
*               Edinburgh, EH4 2XU, UK.
* \par
* Copyright (C), [2012],
* The University Court of the University of Edinburgh,
* Old College, Edinburgh, UK.
* 
* This program is free software; you can redistribute it and/or
* modify it under the terms of the GNU General Public License
* as published by the Free Software Foundation; either version 2
* of the License, or (at your option) any later version.
*
* This program is distributed in the hope that it will be
* useful but WITHOUT ANY WARRANTY; without even the implied
* warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
* PURPOSE.  See the GNU General Public License for more
* details.
*
* You should have received a copy of the GNU General Public
* License along with this program; if not, write to the Free
* Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
* Boston, MA  02110-1301, USA.
* \brief        Defines the Woolz types. These are enumerations and
*               structures which have been typedef'd.
* \ingroup      Wlz
*/

#ifndef WLZ_EXT_BIND
#ifdef  __cplusplus
extern "C" {
#endif /* __cplusplus */
#endif /* WLZ_EXT_BIND */

/*!
* \typedef      WlzUByte
* \ingroup      WlzType
* \brief        An eight bit unsigned integer.
*/
typedef unsigned char WlzUByte;

/*!
* \typedef      WlzUInt
* \ingroup      WlzType
* \brief        A 32 bit unsigned integer.
*/
typedef unsigned int  WlzUInt;

/*!
* \typedef      WlzLong
* \ingroup      WlzType
* \brief        A 64 bit integer.
*/
#ifdef WLZ_EXT_BIND
typedef long  WlzLong;
#else /* WLZ_EXT_BIND */
typedef long long  WlzLong;
#endif /* WLZ_EXT_BIND */

/*!
* \typedef      WlzULong
* \ingroup      WlzType
* \brief        A 64 bit unsigned integer.
*/
#ifdef WLZ_EXT_BIND
typedef unsigned long  WlzULong;
#else /* WLZ_EXT_BIND */
typedef unsigned long long  WlzULong;
#endif /* WLZ_EXT_BIND */

/*!
* \enum         _WlzGreyType
* \ingroup      WlzType
* \brief        The valid grey value types.
*               Typedef: ::WlzGreyType.
*/
typedef enum _WlzGreyType
{
  WLZ_GREY_LONG                 = 0,    /*!< Signed WlzLong integer. */
  WLZ_GREY_INT                  = 1,    /*!< Signed integer. */
  WLZ_GREY_SHORT                = 2,    /*!< Signed short. */
  WLZ_GREY_UBYTE                = 3,    /*!< Unsigned WlzUByte integer. */
  WLZ_GREY_FLOAT                = 4,    /*!< Single precision floating
                                             point. */
  WLZ_GREY_DOUBLE               = 5,    /*!< Double precision floating
                                             point. */
  WLZ_GREY_BIT                  = 6,    /*!< Single bit. */
  WLZ_GREY_RGBA                 = 7,    /*!< Eight bit red, green, blue and
                                             alpha components packed into an
                                             unsigned 32 bit integer, with:
                                             v = r|(g<<8)|(b<<16)|(a<<24),
                                             where r, g, b and a are the
                                             unsigned byte red, green, blue
                                             and alpha components of the
                                             value. */
  WLZ_GREY_ERROR                        /*!< An invalid grey type used to
                                             return error conditions.
                                             Always the last enumerator! */
} WlzGreyType;

/*!
* \def          WLZ_GREY_TABLE_TYPE
* \ingroup      WlzType
* \brief        For historical reasons a pixel/voxel value table
*               encodes both the grey type and the table type in
*               a single type. This macro achieves this with the
*               addition of array type.
* \par
* AR:           Array type, 0 for scalar values, 1 for any array
*               type.
* TT:           Table type.
* GT:           Grey type.
*/
#define WLZ_GREY_TABLE_TYPE(AR,TT,GT)    ((100*(!!(AR)))+(10*(TT))+(GT))

/*!
* \def          WLZ_GREY_TABLE_TO_GREY_TYPE
* \ingroup      WlzType
* \brief        Grey type encoded in grey table type. See
*               WLZ_GREY_TABLE_TYPE.
* \par
* GTT:          Grey table type.
*/
#define WLZ_GREY_TABLE_TO_GREY_TYPE(GTT)  ((GTT)%10)

/*!
* \def          WLZ_GREY_TABLE_TO_TABLE_TYPE
* \ingroup      WlzType
* \brief        Table type encoded in grey table type. See
*               WLZ_GREY_TABLE_TYPE.
* \par
* GTT:          Grey table type.
*/
#define WLZ_GREY_TABLE_TO_TABLE_TYPE(GTT) (((GTT)%100)/10)

/*!
* \def          WLZ_GREY_TABLE_TO_RANK
* \ingroup      WlzType
* \brief        Rank encoded in grey table type. See
*               WLZ_GREY_TABLE_TYPE.
* \par
* GTT:          Grey table type.
*/
#define WLZ_GREY_TABLE_TO_RANK(GTT)       ((GTT)/100)

/*!
* \enum         _WlzGreyTableType
* \ingroup      WlzType
* \brief        Woolz pixel/voxel value table types.
*/
typedef enum    _WlzGreyTableType
{
  WLZ_GREY_TAB_RAGR             = 0,    /*!< Base ragged rectangle grey value
                                             table. */
  WLZ_GREY_TAB_RECT             = 1,    /*!< Base rectangular grey value
                                             table. */
  WLZ_GREY_TAB_INTL             = 2,    /*!< Base interval grey value table. */
  WLZ_POINT_VALUES              = 3,    /*!< Values defined at points. */
  WLZ_INDEXED_VALUES            = 4,    /*!< Indexed value table. */
  WLZ_FEAT_TAB_RAGR             = 5,    /*!< Base ragged rectangle feature
                                             table. */
  WLZ_FEAT_TAB_RECT             = 6,    /*!< Base rectangular feature table. */
  WLZ_GREY_TAB_TILED            = 7     /*!< Tiled grey value table. */
} WlzGreyTableType;

/*!
* \enum         _WlzObjectType
* \ingroup      WlzType
* \brief        The Woolz object types.
*               Many of the integer enumeration values are required for
*               historical reasons but, with the execption of WLZ_NULL,
*               the numerical value should never be used explicitly.
*
*               For historical reasons the base grey table types are used
*               to form explicit grey table types which include the grey type.
*               The functions or macros for extracting and synthesising these
*               types should be used. These are:
*               WLZ_GREY_TABLE_TYPE,
*               WLZ_GREY_TABLE_TO_GREY_TYPE,
*               WLZ_GREY_TABLE_TO_TABLE_TYPE,
*               WLZ_GREY_TABLE_TO_RANK,
*               WlzGreyTableType(),
*               WlzGreyTableTypeToGreyType(),
*               WlzGreyTableTypeToRank(),
*               WlzGreyTableTypeToTableType().
*               Typedef: ::WlzObjectType.
*/
typedef enum _WlzObjectType
{
  /**********************************************************************
  * Top level Woolz object types.
  **********************************************************************/
  WLZ_NULL                      = 0,    /*!< The NULL object is an invalid
                                             object used to return an error
                                             condition. */
  WLZ_2D_DOMAINOBJ              = 1,    /*!< 2D spatial domain object. */
  WLZ_3D_DOMAINOBJ              = 2,    /*!< 3D spatial domain object. */
  WLZ_TRANS_OBJ                 = 3,    /*!< Object in which the domain is
                                             a transformation and the values
                                             are an object. */
  WLZ_3D_WARP_TRANS             = 4,    /*!< 3D finite element warp
                                             transformation. */
  WLZ_2D_POLYGON                = 10,   /*!< 2D polygon. */
  WLZ_BOUNDLIST                 = 11,   /*!< Boundary tree. */
  WLZ_CONV_HULL                 = 12,   /*!< Convex hull. */
  WLZ_HISTOGRAM                 = 13,   /*!< Histogram. */
  WLZ_3D_POLYGON                = 14,   /*!< 3D polygon. */
  WLZ_CONTOUR                   = 15,   /*!< Contour in either 2D or 3D. */
  WLZ_CMESH_2D                  = 16,   /*!< Constrained mesh with triangular
                                             elements in 2D. */
  WLZ_CMESH_3D                  = 17,   /*!< Constrained mesh with tetrahedral
                                             elements in 3D. */
  WLZ_CMESH_2D5                 = 18,   /*!< Constrained mesh with triangular
                                             elements in 3D. */
  WLZ_RECTANGLE                 = 20,   /*!< Rectangle. */
  WLZ_POINTS                    = 21,   /*!< Points. */
  WLZ_SPLINE                    = 30,   /*!< Splines. */
  WLZ_CONVOLVE_INT              = 50,   /*!< Integer convolution. */
  WLZ_CONVOLVE_FLOAT            = 51,   /*!< Floating point convolution. */
  WLZ_AFFINE_TRANS              = 63,   /*!< Affine transform, either 2D or
                                            3D. */
  WLZ_WARP_TRANS                = 64,   /*!< A finite element warp
                                             transformation. */
  WLZ_FMATCHOBJ                 = 65,   /*!< Matched features for finite
                                             element warps. */
  WLZ_TEXT                      = 70,   /*!< Simple ascii text. */
  WLZ_COMPOUND_ARR_1            = 80,   /*!< Compound array of objects
                                             with same type. */
  WLZ_COMPOUND_ARR_2            = 81,   /*!< Compound array of objects
                                             with differnt type. */
  WLZ_COMPOUND_LIST_1           = 82,   /*!< Linked list of objects
                                             with same type. */
  WLZ_COMPOUND_LIST_2           = 83,   /*!< Linked list of objects
                                             with different type. */
  WLZ_LUT                       = 90,   /*!< Simple look up table. */
  WLZ_PROPERTY_OBJ              = 110,  /*!< An object which only has a
                                             property list. */
  WLZ_EMPTY_OBJ                 = 127,  /*!< Empty object: An object which
                                             occupies no space and has no
                                             values. */
  WLZ_MESH_TRANS                = 128,  /*!< Mesh transform. */
  WLZ_CMESH_TRANS               = 129,  /*!< Constrained mesh transform,
                                             either 2D or 3D. */

  WLZ_EMPTY_DOMAIN,                     /*!< Empty domain: A domain which
                                             occupies no space. */
  WLZ_EMPTY_VALUES,                     /*!< Empty values: A values which
                                             has no values! */
  /**********************************************************************
  * Plane domain types.
  **********************************************************************/
  WLZ_INTERVALDOMAIN_INTVL      = 1,    /*!< Spatial domain defined by
                                             a collection of intervals. */
  WLZ_INTERVALDOMAIN_RECT       = 2,    /*!< Spatial domain defined by an
                                             axis aligned rectangle. */
  WLZ_LBTDOMAIN_2D              = 3,    /*!< 2D linear binary tree domain. */
  WLZ_LBTDOMAIN_3D              = 4,    /*!< 3D linear binary tree domain. */
  WLZ_PLANEDOMAIN_DOMAIN        = WLZ_2D_DOMAINOBJ, /*!< 3D spatial domain
                                             composed of 2D spatial domains. */
  WLZ_PLANEDOMAIN_POLYGON       = WLZ_2D_POLYGON, /*!< 3D polygon domain
                                             composed of 2D polygon domains. */
  WLZ_PLANEDOMAIN_BOUNDLIST     = WLZ_BOUNDLIST, /*!< 3D boundary domain
                                             composed of 2D boundary
                                             domains. */
  WLZ_PLANEDOMAIN_CONV_HULL     = WLZ_CONV_HULL, /*!< 3D convex hull
                                             composed of 2D convex hulls. */
  WLZ_PLANEDOMAIN_HISTOGRAM     = WLZ_HISTOGRAM, /*!< 3D histogram domain
                                             composed of 2D histogram
                                             domains. */
  WLZ_PLANEDOMAIN_AFFINE        = WLZ_AFFINE_TRANS, /*!< 3D affine domain
                                             composed of 2D affine transform
                                             domains. */
  WLZ_PLANEDOMAIN_WARP          = WLZ_WARP_TRANS, /*!< 3D warp domain
                                             composed of 2D warp domains. */
  /**********************************************************************
  * Value table types.
  **********************************************************************/
  WLZ_VALUETABLE_RAGR_INT       = WLZ_GREY_TABLE_TYPE(
                                    0, WLZ_GREY_TAB_RAGR, WLZ_GREY_INT),
                                        /*!< Ragged rectangle int value
                                             table. */
  WLZ_VALUETABLE_RAGR_SHORT     = WLZ_GREY_TABLE_TYPE(
                                    0, WLZ_GREY_TAB_RAGR, WLZ_GREY_SHORT),
                                        /*!< Ragged rectangle short value
                                             table. */
  WLZ_VALUETABLE_RAGR_UBYTE     = WLZ_GREY_TABLE_TYPE(
                                    0, WLZ_GREY_TAB_RAGR, WLZ_GREY_UBYTE),
                                        /*!< Ragged rectangle unsigned byte
                                             value table. */
  WLZ_VALUETABLE_RAGR_FLOAT     = WLZ_GREY_TABLE_TYPE(
                                    0, WLZ_GREY_TAB_RAGR, WLZ_GREY_FLOAT),
                                        /*!< Ragged rectangle single precision
                                             floating point value table. */
  WLZ_VALUETABLE_RAGR_DOUBLE    = WLZ_GREY_TABLE_TYPE(
                                    0, WLZ_GREY_TAB_RAGR, WLZ_GREY_DOUBLE),
                                        /*!< Ragged rectangle double precision
                                             floating point value table. */
  WLZ_VALUETABLE_RAGR_BIT       = WLZ_GREY_TABLE_TYPE(
                                    0, WLZ_GREY_TAB_RAGR, WLZ_GREY_BIT),
                                        /*!< Ragged rectangle single bit (packed
                                             in unsigned bytes) value table. */
  WLZ_VALUETABLE_RAGR_RGBA      = WLZ_GREY_TABLE_TYPE(
                                    0, WLZ_GREY_TAB_RAGR, WLZ_GREY_RGBA),
                                        /*!< Ragged rectangle red, green, blue,
                                             alpha value table. */
  WLZ_VALUETABLE_RECT_INT       = WLZ_GREY_TABLE_TYPE(
                                    0, WLZ_GREY_TAB_RECT, WLZ_GREY_INT),
                                        /*!< Rectangular int value table. */
  WLZ_VALUETABLE_RECT_SHORT     = WLZ_GREY_TABLE_TYPE(
                                    0, WLZ_GREY_TAB_RECT, WLZ_GREY_SHORT),
                                        /*!< Rectangular short value table. */
  WLZ_VALUETABLE_RECT_UBYTE     = WLZ_GREY_TABLE_TYPE(
                                    0, WLZ_GREY_TAB_RECT, WLZ_GREY_UBYTE),
                                        /*!< Rectangular unsigned byte value
                                             table. */
  WLZ_VALUETABLE_RECT_FLOAT     = WLZ_GREY_TABLE_TYPE(
                                    0, WLZ_GREY_TAB_RECT, WLZ_GREY_FLOAT),
                                        /*!< Rectangular single precision
                                             floating point value table. */
  WLZ_VALUETABLE_RECT_DOUBLE    = WLZ_GREY_TABLE_TYPE(
                                    0, WLZ_GREY_TAB_RECT, WLZ_GREY_DOUBLE),
                                        /*!< Rectangular double precision
                                             floating point value table. */
  WLZ_VALUETABLE_RECT_BIT       = WLZ_GREY_TABLE_TYPE(
                                    0, WLZ_GREY_TAB_RECT, WLZ_GREY_BIT),
                                        /*!< Rectangular single bit (packed in
                                             unsigned bytes) value table. */
  WLZ_VALUETABLE_RECT_RGBA      = WLZ_GREY_TABLE_TYPE(
                                    0, WLZ_GREY_TAB_RECT, WLZ_GREY_RGBA),
                                        /*!< Rectangular red, green, blue,
                                             alpha value table.  */ 
  WLZ_VALUETABLE_INTL_INT       = WLZ_GREY_TABLE_TYPE(
                                    0, WLZ_GREY_TAB_INTL, WLZ_GREY_INT),
                                        /*!< Interval coded int value table. */
  WLZ_VALUETABLE_INTL_SHORT     = WLZ_GREY_TABLE_TYPE(
                                    0, WLZ_GREY_TAB_INTL, WLZ_GREY_SHORT),
                                        /*!< Interval coded short value
                                             table. */
  WLZ_VALUETABLE_INTL_UBYTE     = WLZ_GREY_TABLE_TYPE(
                                    0, WLZ_GREY_TAB_INTL, WLZ_GREY_UBYTE),
                                        /*!< Interval coded unsigned byte value
                                             table. */
  WLZ_VALUETABLE_INTL_FLOAT     = WLZ_GREY_TABLE_TYPE(
                                    0, WLZ_GREY_TAB_INTL, WLZ_GREY_FLOAT),
                                        /*!< Interval coded single precision
                                             floating point value table. */
  WLZ_VALUETABLE_INTL_DOUBLE    = WLZ_GREY_TABLE_TYPE(
                                    0, WLZ_GREY_TAB_INTL, WLZ_GREY_DOUBLE),
                                        /*!< Interval coded double precision
                                             floating point value table. */
  WLZ_VALUETABLE_INTL_BIT       = WLZ_GREY_TABLE_TYPE(
                                    0, WLZ_GREY_TAB_INTL, WLZ_GREY_BIT),
                                        /*!< Interval coded single bit (packed
                                             unsigned bytes) value table. */
  WLZ_VALUETABLE_INTL_RGBA      = WLZ_GREY_TABLE_TYPE(
                                    0, WLZ_GREY_TAB_INTL, WLZ_GREY_RGBA),
                                        /*!< Interval coded red, green, blue,
                                             alpha value table.  */
  WLZ_VALUETABLE_TILED_INT      = WLZ_GREY_TABLE_TYPE(
                                    0, WLZ_GREY_TAB_TILED, WLZ_GREY_INT),
                                        /*!< Tiled int value table. */
  WLZ_VALUETABLE_TILED_SHORT    = WLZ_GREY_TABLE_TYPE(
                                    0, WLZ_GREY_TAB_TILED, WLZ_GREY_SHORT),
                                        /*!< Tiled short value table. */
  WLZ_VALUETABLE_TILED_UBYTE    = WLZ_GREY_TABLE_TYPE(
                                    0, WLZ_GREY_TAB_TILED, WLZ_GREY_UBYTE),
                                        /*!< Tiled unsigned byte value
                                             table. */
  WLZ_VALUETABLE_TILED_FLOAT    = WLZ_GREY_TABLE_TYPE(
                                    0, WLZ_GREY_TAB_TILED, WLZ_GREY_FLOAT),
                                        /*!< Tiled single precision
                                             floating point value table. */
  WLZ_VALUETABLE_TILED_DOUBLE   = WLZ_GREY_TABLE_TYPE(
                                    0, WLZ_GREY_TAB_TILED, WLZ_GREY_DOUBLE),
                                        /*!< Tiled double precision
                                             floating point value table. */
  WLZ_VALUETABLE_TILED_BIT      = WLZ_GREY_TABLE_TYPE(
                                    0, WLZ_GREY_TAB_TILED, WLZ_GREY_BIT),
                                        /*!< Tiled single bit (packed
                                             unsigned bytes) value table. */
  WLZ_VALUETABLE_TILED_RGBA     = WLZ_GREY_TABLE_TYPE(
                                    0, WLZ_GREY_TAB_TILED, WLZ_GREY_RGBA),
                                        /*!< Tiled red, green, blue, table. */
  WLZ_VALUETABLE_TILED_ARY_INT  = WLZ_GREY_TABLE_TYPE(
                                    1, WLZ_GREY_TAB_TILED, WLZ_GREY_INT),
                                        /*!< Tiled int value table. */
  WLZ_VALUETABLE_TILED_ARY_SHORT = WLZ_GREY_TABLE_TYPE(
                                    1, WLZ_GREY_TAB_TILED, WLZ_GREY_SHORT),
                                        /*!< Tiled short value table. */
  WLZ_VALUETABLE_TILED_ARY_UBYTE = WLZ_GREY_TABLE_TYPE(
                                    1, WLZ_GREY_TAB_TILED, WLZ_GREY_UBYTE),
                                        /*!< Tiled unsigned byte value
                                             table. */
  WLZ_VALUETABLE_TILED_ARY_FLOAT = WLZ_GREY_TABLE_TYPE(
                                    1, WLZ_GREY_TAB_TILED, WLZ_GREY_FLOAT),
                                        /*!< Tiled single precision
                                             floating point value table. */
  WLZ_VALUETABLE_TILED_ARY_DOUBLE = WLZ_GREY_TABLE_TYPE(
                                    1, WLZ_GREY_TAB_TILED, WLZ_GREY_DOUBLE),
                                        /*!< Tiled double precision
                                             floating point value table. */
  WLZ_VALUETABLE_TILED_ARY_BIT  = WLZ_GREY_TABLE_TYPE(
                                    1, WLZ_GREY_TAB_TILED, WLZ_GREY_BIT),
                                        /*!< Tiled single bit (packed
                                             unsigned bytes) value table. */
  WLZ_VALUETABLE_TILED_ARY_RGBA = WLZ_GREY_TABLE_TYPE(
                                    1, WLZ_GREY_TAB_TILED, WLZ_GREY_RGBA),
                                        /*!< Tiled red, green, blue, table. */
  WLZ_FEATVALUETABLE_RAGR       = 50,   /*!< Ragged rectangle features
                                             value table. */
  WLZ_FEATVALUETABLE_RECT       = 60,   /*!< Rectangular features
                                             value table. */
  WLZ_VOXELVALUETABLE_GREY      = 1,    /*!< Grey value voxel value table. */
  WLZ_VOXELVALUETABLE_CONV_HULL,        /*!< Convex hull voxel value table. */
  /**********************************************************************
  * Polygon domain types.                                       
  **********************************************************************/
  WLZ_POLYGON_INT               = 1,    /*!< Integer polygon domain. */
  WLZ_POLYGON_FLOAT             = 2,    /*!< Single precision floating point
                                             polygon domain. */
  WLZ_POLYGON_DOUBLE            = 3,    /*!< Double precision floating point
                                             polygon domain. */
  /**********************************************************************
  * Boundary list types.                                        
  **********************************************************************/
  WLZ_BOUNDLIST_PIECE           = 0,    /*!< Piece contains foreground. */
  WLZ_BOUNDLIST_HOLE            = 1,    /*!< Piece contains background. */
  /**********************************************************************
  * Convex hull types.                                          
  **********************************************************************/
  WLZ_CONVHULL_VALUES           = 1,    /*!< Convex hull values. */
  WLZ_CONVHULL_DOMAIN_2D        = 2,    /*!< 2D convex hull domain. */
  WLZ_CONVHULL_DOMAIN_3D        = 3,    /*!< 3D convex hull domain. */
  /**********************************************************************
  * Histogram domain types. WLZ_HISTOGRAMDOMAIN_OLD_INT and     
  * WLZ_HISTOGRAMDOMAIN_OLD_FLOAT exist only to allow old files to be
  * read, they should not be used anywhere else.                
  **********************************************************************/
  WLZ_HISTOGRAMDOMAIN_OLD_INT   = 1,    /*!< Historical compatability. */
  WLZ_HISTOGRAMDOMAIN_OLD_FLOAT = 2,    /*!< Historical compatability. */
  WLZ_HISTOGRAMDOMAIN_INT       = 3,    /*!< Integer histogram domain. */
  WLZ_HISTOGRAMDOMAIN_FLOAT     = 4,    /*!< Floating point histogram
                                             domain. */
  /**********************************************************************
  * Rectangle object domain types.                              
  **********************************************************************/
  WLZ_RECTANGLE_DOMAIN_INT      = 1,    /*!< Integer rectangle domain. */
  WLZ_RECTANGLE_DOMAIN_FLOAT    = 2,    /*!< Floating point rectangle
                                             domain. */
  /**********************************************************************
  * 3D view structure types (also used for object and domain type).
  **********************************************************************/
  WLZ_3D_VIEW_STRUCT            = 160,  /*!< 3D view structure. */
  /**********************************************************************
  * Property list types.                                        
  **********************************************************************/
  WLZ_PROPERTYLIST              = 170,  /*! A property list which contains
                                            a linked list of properties. */
  /**********************************************************************
  * Property types.                                     
  **********************************************************************/
  WLZ_PROPERTY_SIMPLE           = 180,  /*!< Simple property. */
  WLZ_PROPERTY_EMAP             = 181,  /*!< EMAP property. */
  WLZ_PROPERTY_NAME             = 182,  /*!< Ascii name property. */
  WLZ_PROPERTY_GREY             = 183,  /*!< Grey value property. */
  WLZ_PROPERTY_TEXT             = 184,  /*!< Text property. */
  /**********************************************************************
  * Points domain types.
  **********************************************************************/
  WLZ_POINTS_2I                 = 21,   /*!< Integer 2D points domain. */
  WLZ_POINTS_2D                 = 22,   /*!< Integer 2D points domain. */
  WLZ_POINTS_3I                 = 23,   /*!< Double precision floating point
                                              3D points domain. */
  WLZ_POINTS_3D                 = 24,   /*!< Double precision floating point
                                              3D points domain. */
  /**********************************************************************
  * Spline domain types.
  **********************************************************************/
  WLZ_BSPLINE_C2D              = 30,  /*!< 2D B-spline line curve domains. */
  WLZ_BSPLINE_C3D              = 31,  /*!< 3D B-spline line curve domains. */
  /**********************************************************************
  * WLZ_DUMMY_ENTRY is not an object type.                      
  * Keep it the last enumerator!                                
  **********************************************************************/
  WLZ_DUMMY_ENTRY                       /*!< Not a Woolz object type.
                                             Keep it the last enumerator! */
} WlzObjectType;


/*! 
* \enum         _WlzEMAPPropertyType
* \ingroup      WlzProperty
* \brief        Sub types of EMAP properties
*               Typedef: ::WlzEMAPPropertyType.
*/
typedef enum _WlzEMAPPropertyType
{
  WLZ_EMAP_PROPERTY_GREY_MODEL = 1,     /*!< Reference Model */
  WLZ_EMAP_PROPERTY_GREY_OTHER,         /*!< Grey object e.g. derived from model */
  WLZ_EMAP_PROPERTY_DOMAIN_ANATOMY,     /*!< Anatomy Domain */
  WLZ_EMAP_PROPERTY_DOMAIN_OTHER,       /*!< Other Domain */
  WLZ_EMAP_PROPERTY_TRANSFORM,          /*!< woolz transform for EMAP models */
  WLZ_EMAP_PROPERTY_DUMMY               /*!< Dummy property */
} WlzEMAPPropertyType;

/*!
* \enum         _WlzRasterDir
* \ingroup      WlzAccess
* \brief        Raster scan directions as used by WlzIntervalWSpace
*               and WlzIterateWSpace. These are built using bit masks
*               with bits set for decreasing in each of the directions.
*               Typedef: ::WlzRasterDir.
*/
typedef enum _WlzRasterDir
{
  WLZ_RASTERDIR_DC    = (1),            /*!< Used to build directions . */
  WLZ_RASTERDIR_DL    = (1 << 1),       /*!< Used to build directions. */
  WLZ_RASTERDIR_DP    = (1 << 2),       /*!< Used to build directions. */
  WLZ_RASTERDIR_ILIC  = (0),            /*!< Increasing lines, increasing
                                             columns. */
  WLZ_RASTERDIR_ILDC  = WLZ_RASTERDIR_DC,
                                        /*!< Increasing lines, decreasing
                                             columns. */
  WLZ_RASTERDIR_DLIC  = WLZ_RASTERDIR_DL,
                                        /*!< Decreasing lines, increasing
                                             columns. */
  WLZ_RASTERDIR_DLDC  = (WLZ_RASTERDIR_DL | WLZ_RASTERDIR_DC),
                                        /*!< Decreasing lines, decreasing
                                             columns. */
  WLZ_RASTERDIR_IPILIC  = WLZ_RASTERDIR_ILIC,
                                        /*!< Increasing planes,
                                             increasing lines, increasing
                                             columns. */
  WLZ_RASTERDIR_IPILDC  = WLZ_RASTERDIR_ILDC,
                                        /*!< Increasing planes,
                                             increasing lines, decreasing
                                             columns. */
  WLZ_RASTERDIR_IPDLIC  = WLZ_RASTERDIR_DLIC,
                                        /*!< Increasing planes,
                                             decreasing lines, increasing
                                             columns. */
  WLZ_RASTERDIR_IPDLDC  = WLZ_RASTERDIR_DLDC,
                                        /*!< Increasing planes,
                                             decreasing lines, decreasing
                                             columns. */
  WLZ_RASTERDIR_DPILIC  = (WLZ_RASTERDIR_DP | WLZ_RASTERDIR_ILIC),
                                        /*!< Decreasing planes,
                                             increasing lines, increasing
                                             columns. */
  WLZ_RASTERDIR_DPILDC  = (WLZ_RASTERDIR_DP | WLZ_RASTERDIR_ILDC),
                                        /*!< Decreasing planes,
                                             increasing lines, decreasing
                                             columns. */
  WLZ_RASTERDIR_DPDLIC  = (WLZ_RASTERDIR_DP | WLZ_RASTERDIR_DLIC),
                                        /*!< Decreasing planes,
                                             decreasing lines, increasing
                                             columns. */
  WLZ_RASTERDIR_DPDLDC  = (WLZ_RASTERDIR_DP | WLZ_RASTERDIR_DLDC)
                                        /*!< Decreasing planes,
                                             decreasing lines, decreasing
                                             columns. */
} WlzRasterDir;

/*!
* \enum         _WlzDirection
* \ingroup      WlzType
* \brief        Basic directions.
*/
typedef enum _WlzDirection
{
  WLZ_DIRECTION_IC,             /*!< Increasing columns, ++x, east. */
  WLZ_DIRECTION_IL,             /*!< Increasing lines, ++y, south. */
  WLZ_DIRECTION_IP,             /*!< Increasing planes, ++z, up. */
  WLZ_DIRECTION_DC,             /*!< Decreasing columns, --x, west. */
  WLZ_DIRECTION_DL,             /*!< Decreasing lines, --y, north. */
  WLZ_DIRECTION_DP              /*!< Decreasing planes, --z, down. */
} WlzDirection;

/*!
* \enum         _WlzTransformType
* \ingroup      WlzTransform
* \brief        Types of spatial transformation.
*               Typedef: ::WlzTransformType.
*/
typedef enum _WlzTransformType
{
  WLZ_TRANSFORM_EMPTY = 0,              /*!< Undefined transform. */
  WLZ_TRANSFORM_2D_AFFINE = 1,          /*!< General 2D affine transform. */
  WLZ_TRANSFORM_2D_REG,                 /*!< 2D affine but only rotation
                                             and translation. */
  WLZ_TRANSFORM_2D_TRANS,               /*!< 2D affine but only translation. */
  WLZ_TRANSFORM_2D_NOSHEAR,             /*!< 2D affine but no shear. */
  WLZ_TRANSFORM_3D_AFFINE,              /*!< General 3D affine transform. */
  WLZ_TRANSFORM_3D_REG,                 /*!< 3D affine but only rotation
                                             and translation. */
  WLZ_TRANSFORM_3D_TRANS,               /*!< 3D affine but only translation. */
  WLZ_TRANSFORM_3D_NOSHEAR,             /*!< 3D affine but no shear. */
  WLZ_TRANSFORM_2D_BASISFN,             /*!< 2D basis function transform. */
  WLZ_TRANSFORM_2D5_BASISFN,            /*!< 2.5D (plane wise) basis function
                                             transform. */
  WLZ_TRANSFORM_3D_BASISFN,             /*!< 3D basis function transform. */
  WLZ_TRANSFORM_2D_MESH,                /*!< 2D triangular mesh transform. */
  WLZ_TRANSFORM_2D5_MESH,               /*!< 2.5D (plane wise) triangular
                                             mesh transform. */
  WLZ_TRANSFORM_3D_MESH,                /*!< 3D tetrahedral mesh transform. */
  WLZ_TRANSFORM_2D_CMESH = WLZ_CMESH_2D, /*!< 2D conforming triangular mesh
                                              transform. */
  WLZ_TRANSFORM_2D5_CMESH = WLZ_CMESH_2D5, /*!< 3D conforming triangular mesh
                                                transform. */
  WLZ_TRANSFORM_3D_CMESH = WLZ_CMESH_3D /*!< 3D conforming tetrahedral mesh
                                             transform. */
} WlzTransformType;

/*!
* \enum         _WlzMeshElemType
* \ingroup      WlzTransform
* \brief        Mesh transform element types.
*               Typedef: ::WlzMeshElemType.
*/
typedef enum _WlzMeshElemType
{
  WLZ_MESH_ELEM_TRILINEAR,
  WLZ_MESH_ELEM_TRIINCOMPRESSIBLE,
  WLZ_MESH_ELEM_TRICOMPRESSIBLE
} WlzMeshElemType;

/*!
* \enum         _WlzMeshElemFlags
* \ingroup      WlzTransform
* \brief        Mesh transform element flag bit masks.
*               Typedef: ::WlzMeshElemFlags.
*/
typedef enum _WlzMeshElemFlags
{
  WLZ_MESH_ELEM_FLAGS_NONE      = (0),
  WLZ_MESH_ELEM_FLAGS_NBR_0     = (1),    /*!< Neighbour on side 0 exists */
  WLZ_MESH_ELEM_FLAGS_NBR_1     = (1<<1), /*!< Neighbour on side 1 exists */
  WLZ_MESH_ELEM_FLAGS_NBR_2     = (1<<2), /*!< Neighbour on side 2 exists */
  WLZ_MESH_ELEM_FLAGS_ZOMBIE    = (1<<3), /*!< Dead, awaiting replacement */
  WLZ_MESH_ELEM_FLAGS_REFINE    = (1<<4), /*!< Available for refinement */
  WLZ_MESH_ELEM_FLAGS_OUTSIDE   = (1<<5)  /*!< Outside object's domain */
} WlzMeshElemFlags;

/*!
* \enum         _WlzMeshNodeFlags
* \ingroup      WlzTransform
* \brief        Mesh transform node flag masks.
*               Typedef: ::WlzMeshNodeFlags.
*/
typedef enum _WlzMeshNodeFlags
{
  WLZ_MESH_NODE_FLAGS_NONE      = (0),
  WLZ_MESH_NODE_FLAGS_BBOX      = (1),    /*!< Created from bounding box. */
  WLZ_MESH_NODE_FLAGS_BLOCK     = (1<<1), /*!< Created by block fill. */
  WLZ_MESH_NODE_FLAGS_IDOM      = (1<<2), /*!< Created to fill interval
                                               domain */
  WLZ_MESH_NODE_FLAGS_POLY      = (1<<3), /*!< Created along polygon domain */
  WLZ_MESH_NODE_FLAGS_ZOMBIE    = (1<<4)  /*!< Dead, awaiting replacement */
} WlzMeshNodeFlags;

/*!
* \enum         _WlzMeshGenMethod
* \ingroup      WlzTransform
* \brief        Mesh generation methods.
*               Typedef: ::WlzMeshGenMethod.
*/
typedef enum _WlzMeshGenMethod
{
  WLZ_MESH_GENMETHOD_BLOCK,             /*!< Uniform (triangulated) block
                                             grid. */
  WLZ_MESH_GENMETHOD_GRADIENT,          /*!< Triangulated grid based on image
                                             gradient. */
  WLZ_MESH_GENMETHOD_CONFORM            /*!< Mesh conforming to domain. */
} WlzMeshGenMethod;

/*!
* \enum         _WlzMeshError
* \ingroup      WlzTransform
* \brief        Mesh error bit masks.
*               Typedef: ::WlzMeshError.
*/
typedef enum _WlzMeshError
{
  WLZ_MESH_ERR_NONE             = (0),    /*!< No error, mesh valid */
  WLZ_MESH_ERR_ELEM_CW          = (1),    /*!< Element not CCW */
  WLZ_MESH_ERR_ELEM_INDEX       = (1<<1), /*!< Element index invalid */
  WLZ_MESH_ERR_ELEM_NODE        = (1<<2), /*!< Element node invalid */
  WLZ_MESH_ERR_ELEM_ZOMBIE      = (1<<3), /*!< Element is a zombie */
  WLZ_MESH_ERR_DELEM_CW         = (1<<4), /*!< Displaced element not CCW */
  WLZ_MESH_ERR_NELEM_INDEX      = (1<<5), /*!< Neighbour index invalid */
  WLZ_MESH_ERR_NELEM_NODE       = (1<<6), /*!< Neighbour node invalid */
  WLZ_MESH_ERR_NELEM_NOTNBR     = (1<<7), /*!< Neighbour not a neighbour */
  WLZ_MESH_ERR_NELEM_ZOMBIE     = (1<<8)  /*!< Neighbour is a zombie */
} WlzMeshError;

/*!
* \enum         _WlzConnectType
* \ingroup      WlzType
* \brief        Connectivity in a 2D or 3D digital space.
*               Typedef: ::WlzConnectType.
*/
typedef enum _WlzConnectType
{
  WLZ_0_CONNECTED               = 0,
  WLZ_8_CONNECTED,
  WLZ_4_CONNECTED,
  WLZ_6_CONNECTED,
  WLZ_18_CONNECTED,
  WLZ_26_CONNECTED
} WlzConnectType;

/*!
* \enum         _WlzDistanceType
* \ingroup      WlzType
* \brief        Distance metrics in a 2D or 3D digital space.
*               Typedef: ::WlzDistanceType.
*/
typedef enum _WlzDistanceType
{
  WLZ_8_DISTANCE                = WLZ_8_CONNECTED,
  WLZ_4_DISTANCE                = WLZ_4_CONNECTED,
  WLZ_6_DISTANCE                = WLZ_6_CONNECTED,
  WLZ_18_DISTANCE               = WLZ_18_CONNECTED,
  WLZ_26_DISTANCE               = WLZ_26_CONNECTED,
  WLZ_OCTAGONAL_DISTANCE,
  WLZ_EUCLIDEAN_DISTANCE,
  WLZ_APX_EUCLIDEAN_DISTANCE            /*! Approximate Euclidean. */
} WlzDistanceType;

/*!
* \enum         _WlzRCCClassIdx
* \ingroup      WlzType
* \brief        Discrete Region Connected Calculus (RCC) clasification
*               indices. The classifications indices are for bits set
*               in a classification bitmask.
*               See also WlzRCCClass() and WlzRegConCalcRCC().
*               Typedef: ::WlzRCCClassIdx.
*/
typedef enum _WlzRCCClassIdx
{
  WLZ_RCCIDX_DC         = (0),          /*!< Edge Connected. */
  WLZ_RCCIDX_EC         = (1),          /*!< Edge Connected. */
  WLZ_RCCIDX_EQ         = (2),          /*!< Equal. */
  WLZ_RCCIDX_PO         = (3),          /*!< Partial Overlap. */
  WLZ_RCCIDX_TPP        = (4),          /*!< Tangential Proper Part. */
  WLZ_RCCIDX_NTPP       = (5),          /*!< Non-Tangential Proper Part. */
  WLZ_RCCIDX_TPPI       = (6),          /*!< Tangential Proper Part Inverse. */
  WLZ_RCCIDX_NTPPI      = (7),          /*!< Non-Tangential Proper Part
                                             Inverse. */
  WLZ_RCCIDX_TSUR       = (8),          /*!< Tangential SURrounds. */
  WLZ_RCCIDX_TSURI      = (9),          /*!< Tangential SURrounds Inverse. */
  WLZ_RCCIDX_NTSUR      = (10),         /*!< Non-Tangential SURrounds. */
  WLZ_RCCIDX_NTSURI     = (11),         /*!< Non-Tangential SURrounds
                                             Inverse. */
  WLZ_RCCIDX_ENC        = (12),         /*!< ENCloses. */
  WLZ_RCCIDX_ENCI       = (13),         /*!< ENCloses Inverse. */
  WLZ_RCCIDX_OST        = (14),         /*!< OffSeT. */
  WLZ_RCCIDX_CNT        = (15)          /*!< Not a classification index, but
                                             the number of classification
                                             indices, keep last. */
} WlzRCCClassIdx;

/*!
* \enum         _WlzRCCClass
* \ingroup      WlzType
* \brief        A Discrete Region Connected Calculus (RCC) clasification
*               of an ordered pair of spatial regions. The classifications
*               are bit masks to allow for multiple classifications.
*               See also WlzRegConCalcRCC().
*               Typedef: ::WlzRCCClass.
*/
typedef enum _WlzRCCClass
{
  WLZ_RCC_EMPTY = 0,                    /*!< Empty:
                                             One or both of the domains is
                                             empty. */
  WLZ_RCC_DC    = (1<<WLZ_RCCIDX_DC),   /*!< Disconnected. */
  WLZ_RCC_EC    = (1<<WLZ_RCCIDX_EC),   /*!< Edge Connected. */
  WLZ_RCC_EQ    = (1<<WLZ_RCCIDX_EQ),   /*!< Equal. */
  WLZ_RCC_PO    = (1<<WLZ_RCCIDX_PO),   /*!< Partial Overlap. */
  WLZ_RCC_TPP   = (1<<WLZ_RCCIDX_TPP),  /*!< Tangential Proper Part. */
  WLZ_RCC_NTPP  = (1<<WLZ_RCCIDX_NTPP), /*!< Non-Tangential Proper Part. */
  WLZ_RCC_TPPI  = (1<<WLZ_RCCIDX_TPPI), /*!< Tangential Proper Part inverse. */
  WLZ_RCC_NTPPI = (1<<WLZ_RCCIDX_NTPPI), /*!< Non-Tangential Proper Part
                                             inverse. */
  WLZ_RCC_TSUR  = (1<<WLZ_RCCIDX_TSUR), /*!< Tangential Surrounds:
                                             The first domain is surrounded by
                                             and edge connected to the
                                             second domain. */
  WLZ_RCC_TSURI = (1<<WLZ_RCCIDX_TSURI), /*!< Tangential Surrounds inverse:
                                             The second domain is surrounded by
                                             and edge connected to the first
                                             domain. */
  WLZ_RCC_NTSUR = (1<<WLZ_RCCIDX_NTSUR), /*!< Non-Tangential Surrounds:
                                             The first domain is surrounded by
                                             but not edge connected to the
                                             second domain. */
  WLZ_RCC_NTSURI = (1<<WLZ_RCCIDX_NTSURI), /*!< Non-Tangential Surrounds
                                             inverse:
                                             The second domain is surrounded by
                                             but not edge connected to the
                                             first domain. */
  WLZ_RCC_ENC   = (1<<WLZ_RCCIDX_ENC),  /*!< Encloses:
                                             The majority of the first domain
                                             is within the convex hull of the
                                             second domain. */
  WLZ_RCC_ENCI  = (1<<WLZ_RCCIDX_ENCI), /*!< Encloses inverse:
                                             The majority of the second domain
                                             is within the convex hull of the
                                             first domain. */
  WLZ_RCC_OST   = (1<<WLZ_RCCIDX_OST),  /*!< Offset:
                                             There is a narrow distribution of
                                             equi-distant distances between
                                             the first and second domain. */
  WLZ_RCC_MSK    = ((1<<WLZ_RCCIDX_CNT)-1) /*!< Not a clasification but a bit
                                             mask for all the possible
                                             classifications. */
} WlzRCCClass;

/*!
* \enum         _WlzSpecialStructElmType
* \ingroup      WlzMorphologyOps
* \brief        Special structuring elements for morphological operations.
*               Typedef: ::WlzSpecialStructElmType.
*/
typedef enum _WlzSpecialStructElmType
{
  WLZ_SPEC_STRUCT_ELM_H4,
  WLZ_SPEC_STRUCT_ELM_EX4,
  WLZ_SPEC_STRUCT_ELM_A8,
  WLZ_SPEC_STRUCT_ELM_H6,
  WLZ_SPEC_STRUCT_ELM_H5,
  WLZ_SPEC_STRUCT_ELM_H7,
  WLZ_SPEC_STRUCT_ELM_A3,
  WLZ_SPEC_STRUCT_ELM_E1,
  WLZ_SPEC_STRUCT_ELM_E2,
  WLZ_SPEC_STRUCT_ELM_V2
} WlzSpecialStructElmType;

/*!
* \enum         _WlzBinaryOperatorType
* \ingroup      WlzArithmetic
* \brief         Binary operators.                                              
*               Typedef: ::WlzBinaryOperatorType.
*/
typedef enum _WlzBinaryOperatorType
{
  WLZ_BO_ADD            = 0,
  WLZ_BO_SUBTRACT,
  WLZ_BO_MULTIPLY,
  WLZ_BO_DIVIDE,
  WLZ_BO_MODULUS,
  WLZ_BO_EQ,
  WLZ_BO_NE,
  WLZ_BO_GT,
  WLZ_BO_GE,
  WLZ_BO_LT,
  WLZ_BO_LE,
  WLZ_BO_AND,
  WLZ_BO_OR,
  WLZ_BO_XOR,
  WLZ_BO_MAX,
  WLZ_BO_MIN,
  WLZ_BO_MAGNITUDE
} WlzBinaryOperatorType;

/*!
* \enum         _WlzCompThreshType
* \ingroup      WlzThreshold
* \brief        Automatic threshold computation methods.                        
*               The histogram may need to be smoothed for these algorithms
*               to work.
                Typedef: ::WlzCompThreshType.
*/
typedef enum _WlzCompThreshType
{
  WLZ_COMPTHRESH_FOOT,  /*!< Can not determine threshold type.
                           The threshold value is intercept of a line fitted
                           to the upper slope of the histogram main peak with
                           the abscissa.  */
  WLZ_COMPTHRESH_DEPTH, /*!< Can not determine threshold type.
                           The threshold value is that point to the right of
                           the histogram peak that is maximally distant from
                           the chord joining the peak and the histogram right
                           hand end point.
                           The histogram may need to be smoothed for this
                           algorithm to work.  */
  WLZ_COMPTHRESH_GRADIENT, /*!< Can not determine threshold type.
                           The threshold value is the first point to the
                           right of the histogram main peak at which the
                           gradient falls to zero (cf finding a minimum).
                           To find the slope of the histogram at some
                           point a straight line is fitted through the
                           point \f$\pm\f$ a fixed number of points to
                           either side. */
  WLZ_COMPTHRESH_FRACMIN, /*!< The threshold type is determined from the
                           position of the histogram's maximum and the
                           threshold value is the minimum following
                           the specified fraction of the values.  */
  WLZ_COMPTHRESH_SMOOTHSPLIT, /*!< The threshold value is found by
                           heavily smoothing the histogram and looking
                           for the minimum. Successively lesser smoothing
                           values are then applied and at each iteration
                           the minimum closest to the previous is found. */
  WLZ_COMPTHRESH_OTSU      /*!< The threshold value is found by using
                           Otsu's method. This is a clustering-based algorithm
                           which computes an optimum threshold value that
                           separates the two classes of an (assumed)
                           bi-modal histogram. */
} WlzCompThreshType;

/*!
* \enum         _WlzInterpolationType
* \ingroup      WlzType
* \brief        Interpolation methods.
*               Typedef: ::WlzInterpolationType.
*/
typedef enum _WlzInterpolationType
{
  WLZ_INTERPOLATION_NEAREST     = 0,    /*!< Nearest neighbour. */
  WLZ_INTERPOLATION_LINEAR,             /*!< Linear or tri-linear. */
  WLZ_INTERPOLATION_CLASSIFY_1,         /*!< Classification by probability. */
  WLZ_INTERPOLATION_CALLBACK,           /*!< Callback function computes
                                             each interpolated value. */
  WLZ_INTERPOLATION_ORDER_2,            /*!< Second order interpolation. */
  WLZ_INTERPOLATION_BARYCENTRIC,        /*!< Barycentric mesh interpolation. */
  WLZ_INTERPOLATION_KRIG                /*!< Kriging mesh interpolation. */
} WlzInterpolationType;

/*!
* \enum         _WlzThresholdType
* \ingroup      WlzThreshold
* \brief        Threshold value selection.
*               Typedef: ::WlzThresholdType.
*/
typedef enum _WlzThresholdType
{
  WLZ_THRESH_LOW                = 0, /*!< Threshold <  given value */
  WLZ_THRESH_HIGH,                   /*!< Threshold >= given value */
  WLZ_THRESH_EQUAL                   /*!< Threshold == given value */
} WlzThresholdType;


/*!
* \enum         _WlzRGBAThresholdType
* \ingroup      WlzThreshold
* \brief        Colour threshold type selection.
*               Typedef: ::WlzRGBAThresholdType.
*/
typedef enum _WlzRGBAThresholdType
{
  WLZ_RGBA_THRESH_NONE,
  WLZ_RGBA_THRESH_SINGLE,
  WLZ_RGBA_THRESH_MULTI,
  WLZ_RGBA_THRESH_PLANE,
  WLZ_RGBA_THRESH_SLICE,
  WLZ_RGBA_THRESH_BOX,
  WLZ_RGBA_THRESH_SPHERE
} WlzRGBAThresholdType;

/*!
* \enum         _WlzRGBAColorSpace
* \ingroup      WlzValueUtils
* \brief        Colour space (i.e. rgb, hsb, grey etc.) selection.
*               Typedef: ::WlzRGBAColorSpace.
*/
typedef enum _WlzRGBAColorSpace
{
  WLZ_RGBA_SPACE_GREY,
  WLZ_RGBA_SPACE_RGB,
  WLZ_RGBA_SPACE_HSB,
  WLZ_RGBA_SPACE_CMY
} WlzRGBAColorSpace;

/*!
* \enum         _WlzRGBAColorChannel
* \ingroup      WlzValueUtils
* \brief        Colour channel selection.
*               Typedef: ::WlzRGBAColorChannel.
*/
typedef enum _WlzRGBAColorChannel
{
  WLZ_RGBA_CHANNEL_GREY,
  WLZ_RGBA_CHANNEL_RED,
  WLZ_RGBA_CHANNEL_GREEN,
  WLZ_RGBA_CHANNEL_BLUE,
  WLZ_RGBA_CHANNEL_HUE,
  WLZ_RGBA_CHANNEL_SATURATION,
  WLZ_RGBA_CHANNEL_BRIGHTNESS,
  WLZ_RGBA_CHANNEL_CYAN,
  WLZ_RGBA_CHANNEL_MAGENTA,
  WLZ_RGBA_CHANNEL_YELLOW,
  WLZ_RGBA_CHANNEL_DUMMY
} WlzRGBAColorChannel;

/*!
* \enum         _WlzPolyFillMode        
* \ingroup      WlzPolyline
* \brief        Polygon fill modes.
*               Typedef: ::WlzPolyFillMode.
*/
typedef enum _WlzPolyFillMode
{
  WLZ_SIMPLE_FILL,      /*!< Fill all pixels with winding number > 0 */
  WLZ_EVEN_ODD_FILL,    /*!< Fill all pixels with odd winding number */
  WLZ_VERTEX_FILL       /*!< Fill all pixels lying under the polyline */
} WlzPolyFillMode;

/*!
* \enum         _WlzGreyTransformType   
* \ingroup      WlzTransform
* \brief        Grey-level transform types.
*               Typedef: ::WlzGreyTransformType.
*/
typedef enum _WlzGreyTransformType {
  WLZ_GREYTRANSFORMTYPE_IDENTITY,       /*!< No value change. */
  WLZ_GREYTRANSFORMTYPE_LINEAR,         /*!< Linear interpolation. */
  WLZ_GREYTRANSFORMTYPE_GAMMA,          /*!< Gamma function. */
  WLZ_GREYTRANSFORMTYPE_SIGMOID         /*!< Sigmoid function. */
} WlzGreyTransformType;

/*!
* \enum         _WlzThreeDStdViews
* \ingroup      WlzSectionTransform
* \brief        Standard 3D views.
                Typedef: ::WlzThreeDStdViews.
*/
typedef enum _WlzThreeDStdViews
{
  WLZ_X_Y_VIEW,
  WLZ_Y_Z_VIEW,
  WLZ_Z_X_VIEW,
  WLZ_ARBITRARY_VIEW
} WlzThreeDStdViews;

/*!
* \enum         _WlzThreeDViewMode
* \ingroup      WlzSectionTransform
* \brief        3D viewing modes which determine the angle at which the plane
*               is cut through a 3D volume.
*               Typedef: ::WlzThreeDViewMode.
*/
typedef enum _WlzThreeDViewMode
{
  WLZ_STATUE_MODE,                      /*!< Corresponds to "walking around a
                                             statue" so that if the view is say
                                             from the left-hand side then the
                                             section will have the top of the
                                             statue to the left. */
  WLZ_UP_IS_UP_MODE,                    /*!< The projection of the vector up
                                             onto the section image will be
                                             "up". This is ill-defined if the
                                             viewing direction is very close to
                                             "up". */
  WLZ_FIXED_LINE_MODE,
  WLZ_ZERO_ZETA_MODE,
  WLZ_ZETA_MODE
} WlzThreeDViewMode;

/*!
* \enum         _WlzWindowFnType
* \ingroup      WlzValuesFilters
* \brief        Types of window functions.
*               Window functions are used to weight the grey values of Woolz
*               domain objects according to the spatial distribution.
*               Typedef: WlzWindowFnType.
*
*               The window functions are defined as:
*                 \f[
                    blackman(r,R) = 0.42 +
                                    0.50 \cos{(\frac{2.00 \pi r}{R - 1.00})} +
                                    0.08 \cos{(\frac{4.00 \pi r}{R - 1.00})}
                  \f]
                  \f[
                    hamming(r,R) = 0.54 +
                                   0.46 \cos{(\frac{2.00 \pi r}{R - 1.00})}
                  \f]
                  \f[
                    hanning(r,R) = 0.50 +
                                   0.50 \cos{(\frac{2.00 \pi r}{R - 1.00})}
                  \f]
                  \f[
                    parzen(r,R) = 1.00 - 
                                  |frac{2.00 r - (R - 1.00)}{R + 1.00}|
                  \f]
                  \f[
                    welch(r,R) = 1.00 -
                                 {(\frac{2.00 r - (R - 1.00)}{R + 1.00})}^2
                  \f]
                  \f[
                    rectangle(r,R) = \left\{
                                     \begin{array}{ll}
                                     1.00 & |r_x| \leq R, |r_y| \leq R \\
                                     0.00 & |r_x| > R, |r_y| > R
                                     \end{array}
                                     \right.
                  \f]
*               Where \f$R\f$ is the window radius and \f$r\f$ the radial
*               distance from the centre of the window.
*/
typedef enum _WlzWindowFnType
{
  WLZ_WINDOWFN_NONE,                    /*!< No window function. */
  WLZ_WINDOWFN_BLACKMAN,                /*!< Blackman window. */
  WLZ_WINDOWFN_HAMMING,                 /*!< Hanning window. */
  WLZ_WINDOWFN_HANNING,
  WLZ_WINDOWFN_PARZEN,                  /*!< Parzen window. */
  WLZ_WINDOWFN_RECTANGLE,               /*!< Rectangular window. */
  WLZ_WINDOWFN_WELCH,                   /*!< Welch window. */
  WLZ_WINDOWFN_UNSPECIFIED              /*!< Not a window function also has
                                             a value equal to the number of
                                             window functions defined because
                                             it is the last in the enum. */
} WlzWindowFnType;

/*!
* \enum         _WlzSampleFn
* \ingroup      WlzTransform
* \brief        Sampling functions.                                             
*               Typedef: ::WlzSampleFn.
*/
typedef enum _WlzSampleFn
{
  WLZ_SAMPLEFN_NONE,                    /*!< No sampling function */
  WLZ_SAMPLEFN_POINT,                   /*!< Point sampling */
  WLZ_SAMPLEFN_MEAN,                    /*!< Mean value sample of data */
  WLZ_SAMPLEFN_GAUSS,                   /*!< Gaussian weighted sample of data */
  WLZ_SAMPLEFN_MIN,                     /*!< Minimum value sampling */
  WLZ_SAMPLEFN_MAX,                     /*!< Maximum value sampling */
  WLZ_SAMPLEFN_MEDIAN                   /*!< Median value sampling */
} WlzSampleFn;

/*!
* \enum         _WlzScalarFeatureType
* \ingroup      WlzFeatures
* \brief        Scalar features of objects.
*/
typedef enum _WlzScalarFeatureType
{
  WLZ_SCALARFEATURE_VALUE,              /*!< Grey value. */
  WLZ_SCALARFEATURE_GRADIENT            /*!< Gradient of grey values. */
} WlzScalarFeatureType;

/*!
* \enum         _WlzDGTensorFeatureType
* \ingroup      WlzFeatures
* \brief        Features of Jacobian deformation gradient tensors.
*/
typedef enum _WlzDGTensorFeatureType
{
  WLZ_DGTENSOR_FEATURE_NONE     = 0,    /*!< No feature, null case. */
  WLZ_DGTENSOR_FEATURE_DETJAC   = 1,    /*!< Determinant of Jacobian tensor. */
  WLZ_DGTENSOR_FEATURE_EIGENVEC = 2,    /*!< Eigen vectors. */
  WLZ_DGTENSOR_FEATURE_EIGENVAL = 3,    /*!< Eigen values. */
  WLZ_DGTENSOR_FEATURE_LIMIT    = 4     /*!< Not a feature but used to
                                             itterate through the features,
                                             keep it the largest value. */
} WlzDGTensorFeatureType;

/*!
* \def          WLZ_DGTENSOR_FEATURE_MASK
* \ingroup      WlzFeatures
* \brief        Bit mask generator for features of Jacobian deformation
*               gradient tensors.
*/
#define WLZ_DGTENSOR_FEATURE_MASK(F)    (((F)>0)?(1<<((F)-1)):(0))

/*!
* \enum         _WlzVertexType
* \ingroup      WlzType
* \brief        2D and 3D vertex types.
*               Typedef: ::WlzVertexType.
*/
typedef enum _WlzVertexType
{
  WLZ_VERTEX_ERROR      = 0,            /*!< Used to indicate not a vertex
                                             type. */
  WLZ_VERTEX_I2         = 1,            /*!< 2D integer vertex. */
  WLZ_VERTEX_F2,                        /*!< 2D single precision floating
                                             point vertex. */
  WLZ_VERTEX_D2,                        /*!< 2D double precision floating
                                             point vertex. */
  WLZ_VERTEX_I3,                        /*!< 3D integer vertex. */
  WLZ_VERTEX_F3,                        /*!< 3D single precision floating
                                             point vertex. */
  WLZ_VERTEX_D3,                        /*!< 3D double precision floating
                                             point vertex. */
  WLZ_VERTEX_L2,                        /*!< 2D long integer vertex. */
  WLZ_VERTEX_L3                         /*!< 3D long integer vertex. */
} WlzVertexType;

/*!
* \struct       _WlzLVertex2
* \ingroup      WlzType
* \brief        2D long integer vertex.
*               Typedef: ::WlzIVertex2.
*/
typedef struct _WlzLVertex2
{
  WlzLong       vtY;
  WlzLong       vtX;
} WlzLVertex2;

/*!
* \struct       _WlzIVertex2
* \ingroup      WlzType
* \brief        2D integer vertex.
*               Typedef: ::WlzIVertex2.
*/
typedef struct _WlzIVertex2
{
  int           vtY;
  int           vtX;
} WlzIVertex2;

/*!
* \struct       _WlzFVertex2
* \ingroup      WlzType
* \brief        2D single precision float point vertex.
*               Typedef: ::WlzFVertex2.
*/
typedef struct _WlzFVertex2
{
  float         vtY;
  float         vtX;
} WlzFVertex2;

/*!
* \struct       _WlzDVertex2
* \ingroup      WlzType
* \brief        2D double precision float point vertex.
*               Typedef: ::WlzDVertex2.
*/
typedef struct _WlzDVertex2
{
  double        vtY;
  double        vtX;
} WlzDVertex2;


/*!
* \struct       _WlzLVertex3
* \ingroup      WlzType
* \brief        3D long integer vertex.
*               Typedef: ::WlzLVertex3.
*/
typedef struct _WlzLVertex3
{
  WlzLong       vtX;
  WlzLong       vtY;
  WlzLong       vtZ;
} WlzLVertex3;

/*!
* \struct       _WlzIVertex3
* \ingroup      WlzType
* \brief        3D integer vertex.
*               Typedef: ::WlzIVertex3.
*/
typedef struct _WlzIVertex3
{
  int           vtX;
  int           vtY;
  int           vtZ;
} WlzIVertex3;

/*!
* \struct       _WlzFVertex3
* \ingroup      WlzType
* \brief        3D single precision float point vertex.
*               Typedef: ::WlzFVertex3.
*/
typedef struct _WlzFVertex3
{
  float         vtX;
  float         vtY;
  float         vtZ;
} WlzFVertex3;

/*!
* \struct       _WlzDVertex3
* \ingroup      WlzType
* \brief        3D double precision float point vertex.
*               Typedef: ::WlzDVertex3.
*/
typedef struct _WlzDVertex3
{
  double        vtX;
  double        vtY;
  double        vtZ;
} WlzDVertex3;

/*!
* \union        _WlzVertexP
* \ingroup      WlzType
* \brief        Union of vertex pointers.
*               Typedef: ::WlzVertexP.
*/
typedef union _WlzVertexP
{
  void          *v;
  WlzIVertex2   *i2;
  WlzLVertex2   *l2;
  WlzFVertex2   *f2;
  WlzDVertex2   *d2;
  WlzIVertex3   *i3;
  WlzLVertex3   *l3;
  WlzFVertex3   *f3;
  WlzDVertex3   *d3;
} WlzVertexP;

/*!
* \union        _WlzVertex
* \ingroup      WlzType
* \brief        Union of vertex values.
*               Typedef: ::WlzVertex.
*/
typedef union _WlzVertex
{
  WlzIVertex2   i2;
  WlzLVertex2   l2;
  WlzFVertex2   f2;
  WlzDVertex2   d2;
  WlzIVertex3   i3;
  WlzLVertex3   l3;
  WlzFVertex3   f3;
  WlzDVertex3   d3;
} WlzVertex;

/*!
* \struct       _WlzIBox2
* \ingroup      WlzType
* \brief        2D integer axis aligned rectangle (box).
*               Typedef: ::WlzIBox2.
*/
typedef struct _WlzIBox2
{
  int           xMin;
  int           yMin;
  int           xMax;
  int           yMax;
} WlzIBox2;

/*!
* \struct       _WlzDBox2
* \ingroup      WlzType
* \brief        2D double precision floating point axis aligned rectangle
*               (box).
*               Typedef: ::WlzDBox2.
*/
typedef struct _WlzDBox2
{
  double        xMin;
  double        yMin;
  double        xMax;
  double        yMax;
} WlzDBox2;

/*!
* \struct       _WlzFBox2
* \ingroup      WlzType
* \brief        2D single precision floating point axis aligned rectangle
*               (box).
*               Typedef: ::WlzFBox2.
*/
typedef struct _WlzFBox2
{
  float         xMin;
  float         yMin;
  float         xMax;
  float         yMax;
} WlzFBox2;

/*!
* \struct       _WlzIBox3
* \ingroup      WlzType
* \brief        3D integer axis aligned cubiod (box).
*               Typedef: ::WlzIBox3.
*/
typedef struct _WlzIBox3
{
  int           xMin;
  int           yMin;
  int           zMin;
  int           xMax;
  int           yMax;
  int           zMax;
} WlzIBox3;

/*!
* \struct       _WlzDBox3
* \ingroup      WlzType
* \brief        3D double precision floating point axis aligned cubiod (box).
*               Typedef: ::WlzDBox3.
*/
typedef struct _WlzDBox3
{
  double        xMin;
  double        yMin;
  double        zMin;
  double        xMax;
  double        yMax;
  double        zMax;
} WlzDBox3;

/*!
* \struct       _WlzFBox3
* \ingroup      WlzType
* \brief        3D single precision floating point axis aligned cubiod (box).
*               Typedef: ::WlzFBox3.
*/
typedef struct _WlzFBox3
{
  float         xMin;
  float         yMin;
  float         zMin;
  float         xMax;
  float         yMax;
  float         zMax;
} WlzFBox3;

/*!
* \union        _WlzBoxP
* \ingroup      WlzType
* \brief        Union of axis aligned box pointers.
*               Typedef: ::WlzBoxP.
*/
typedef union _WlzBoxP
{
  void          *v;
  WlzIBox2      *i2;
  WlzFBox2      *f2;
  WlzDBox2      *d2;
  WlzIBox3      *i3;
  WlzFBox3      *f3;
  WlzDBox3      *d3;
} WlzBoxP;

/*!
* \union        _WlzBox
* \ingroup      WlzType
* \brief        Union of axis aligned boxes.
*               Typedef: ::WlzBox.
*/
typedef union _WlzBox
{
  WlzIBox2      i2;
  WlzFBox2      f2;
  WlzDBox2      d2;
  WlzIBox3      i3;
  WlzFBox3      f3;
  WlzDBox3      d3;
} WlzBox;

/************************************************************************
* Grey values.
************************************************************************/

/*!
* \union        _WlzGreyP
* \ingroup      WlzType
* \brief        A union of pointers to grey values.
*               Typedef: ::WlzGreyP.
*/
typedef union _WlzGreyP
{
  void          *v;                     /*!< Can save a cast when assigning. */
  WlzLong       *lnp;
  int           *inp;
  short         *shp;
  WlzUByte      *ubp;
  float         *flp;
  double        *dbp;
  WlzUInt       *rgbp;
  char          **bytes;
  unsigned char **ubytes;
} WlzGreyP;

/*!
* \union        _WlzGreyV
* \ingroup      WlzType
* \brief        A union of grey values.
*               Typedef: ::WlzGreyV.
*/
typedef union _WlzGreyV
{
  void          *v;                     /*!< Can save a cast when assigning. */
  WlzLong       lnv;
  int           inv;
  short         shv;
  WlzUByte      ubv;
  float         flv;
  double        dbv;
  WlzUInt       rgbv;
  char          bytes[8];
  unsigned char ubytes[8];
} WlzGreyV;

/*!
* \struct       _WlzPixelV
* \ingroup      WlzType
* \brief        A typed grey value.
*               Typedef: ::WlzPixelV.
*/
typedef struct _WlzPixelV
{
  WlzGreyType   type;                   /*!< Type of grey value. */
  WlzGreyV      v;                      /*!< The grey value. */
} WlzPixelV;

/*!
* \struct       _WlzPixelP
* \ingroup      WlzType
* \brief        A typed grey value pointer.
*               Typedef: ::WlzPixelP.
*/
typedef struct _WlzPixelP
{
  WlzGreyType   type;                   /*!< Type of grey value. */
  WlzGreyP      p;                      /*!< Pointer to the grey value(s). */
} WlzPixelP;

/*!
* \struct       _WlzGreyTransformParam
* \ingroup      WlzTransform
* \brief        Grey-level transform parameters.
*               Typedef: ::WlzGreyTransformParam.
*/
typedef struct _WlzGreyTransformParam
{
  WlzGreyTransformType type;            /*!< Grey transform type. */
  WlzPixelV     il;                     /*!< Input minimum grey value. */
  WlzPixelV     iu;                     /*!< Input maximum grey value. */
  WlzPixelV     ol;                     /*!< Output minimum grey value. */
  WlzPixelV     ou;                     /*!< Output maximum grey value. */
  double        p0;                     /*!< First parameter, used for
                                             gamma (\f$\gamma\f$) or
                                             sigmoid (\f$\mu\f$). */
  double        p1;                     /*!< Second parameter, used for
                                             sigmoid (\f$\sigma\f$). */
} WlzGreyTransformParam;

/************************************************************************
* Markers.
************************************************************************/
/*!
* \enum         _WlzMarkerType
* \ingroup      WlzType
* \brief        Basic markers.
*               Typedef: ::WlzMarkerType.
*/
typedef enum _WlzMarkerType
{
  WLZ_MARKER_NONE       = 0,            /*!< No marker. */
  WLZ_MARKER_POINT,                     /*!< Single point, pixel or voxel. */
  WLZ_MARKER_SPHERE                     /*!< Circle or sphere. */
} WlzMarkerType;


/************************************************************************
* Data structures for geometric models.
************************************************************************/

/*!
* \def          WLZ_GM_TOLERANCE
* \ingroup      WlzGeoModel
* \brief        Tolerance for geometric queries in geometric models.
*/
#define WLZ_GM_TOLERANCE        (1.0e-06)

/*!
* \def          WLZ_GM_TOLERANCE_SQ
* \ingroup      WlzGeoModel
* \brief        Square of tolerance for geometric queries in geometric models.
*/
#define WLZ_GM_TOLERANCE_SQ     (WLZ_GM_TOLERANCE * WLZ_GM_TOLERANCE)

/*!
* \enum         _WlzGMModelType
* \ingroup      WlzGeoModel
* \brief        Types of geometric models.
*               Typedef: WlzGMModelType.
*/
typedef enum _WlzGMModelType
{
  WLZ_GMMOD_2I = 1,
  WLZ_GMMOD_2D,
  WLZ_GMMOD_3I,
  WLZ_GMMOD_3D,
  WLZ_GMMOD_2N,
  WLZ_GMMOD_3N
} WlzGMModelType;

/*!
* \enum         _WlzGMElemType
* \ingroup      WlzGeoModel
* \brief        Types of geometric model elements.
*               Typedef: ::WlzGMElemType.
*/
typedef enum _WlzGMElemType
{
  WLZ_GMELM_NONE = 0,
  WLZ_GMELM_VERTEX,
  WLZ_GMELM_VERTEX_G2I,
  WLZ_GMELM_VERTEX_G2D,
  WLZ_GMELM_VERTEX_G2N,
  WLZ_GMELM_VERTEX_G3I,
  WLZ_GMELM_VERTEX_G3D,
  WLZ_GMELM_VERTEX_G3N,
  WLZ_GMELM_VERTEX_T,
  WLZ_GMELM_DISK_T,
  WLZ_GMELM_EDGE,
  WLZ_GMELM_EDGE_T,
  WLZ_GMELM_FACE,
  WLZ_GMELM_LOOP_T,
  WLZ_GMELM_SHELL,
  WLZ_GMELM_SHELL_G2I,
  WLZ_GMELM_SHELL_G2D,
  WLZ_GMELM_SHELL_G3I,
  WLZ_GMELM_SHELL_G3D
} WlzGMElemType;

/*!
* \enum         _WlzGMElemTypeFlags
* \ingroup      WlzGeoModel
* \brief        Bit masks for the types of geometric model elements.
*               Typedef: ::WlzGMElemTypeFlags.
*/
typedef enum _WlzGMElemTypeFlags
{
  WLZ_GMELMFLG_VERTEX =     (1 << 0),
  WLZ_GMELMFLG_VERTEX_G =   (1 << 1),
  WLZ_GMELMFLG_VERTEX_T =   (1 << 2),
  WLZ_GMELMFLG_DISK_T =     (1 << 3),
  WLZ_GMELMFLG_EDGE =       (1 << 4),
  WLZ_GMELMFLG_EDGE_T =     (1 << 5),
  WLZ_GMELMFLG_FACE =       (1 << 6),
  WLZ_GMELMFLG_LOOP_T =     (1 << 7),
  WLZ_GMELMFLG_SHELL =      (1 << 8),
  WLZ_GMELMFLG_SHELL_G =    (1 << 9)
} WlzGMElemTypeFlags;

/*!
* \union        _WlzGMElemP
* \ingroup      WlzGeoModel
* \brief        A union of pointers to all the valid geometric model
*               elements.
*               Typedef: ::WlzGMElemP.
*/
typedef union _WlzGMElemP
{
  struct _WlzGMCore *core;
  struct _WlzGMVertex *vertex;
  struct _WlzGMVertexG2I *vertexG2I;
  struct _WlzGMVertexG2D *vertexG2D;
  struct _WlzGMVertexG2N *vertexG2N;
  struct _WlzGMVertexG3I *vertexG3I;
  struct _WlzGMVertexG3D *vertexG3D;
  struct _WlzGMVertexG3N *vertexG3N;
  struct _WlzGMVertexT *vertexT;
  struct _WlzGMDiskT    *diskT;
  struct _WlzGMEdge     *edge;
  struct _WlzGMEdgeT    *edgeT;
  struct _WlzGMFace     *face;
  struct _WlzGMLoopT    *loopT;
  struct _WlzGMShell    *shell;
  struct _WlzGMShellG2I *shellG2I;
  struct _WlzGMShellG2D *shellG2D;
  struct _WlzGMShellG3I *shellG3I;
  struct _WlzGMShellG3D *shellG3D;
} WlzGMElemP;

/*!
* \struct       _WlzGMCore
* \ingroup      WlzGeoModel
* \brief        The core geometric model element from which all
*               geometric modeling elements inherit the type and
*               index fields.
*               Typedef: ::WlzGMCore.
*/
typedef struct _WlzGMCore
{
  WlzGMElemType type;                   /*!< Any WlzGMElemType */
  int           idx;                    /*!< Unique identifier for the
                                             instance of this type in it's
                                             model. */
} WlzGMCore;

/*!
* \struct       _WlzGMVertexG2I
* \ingroup      WlzGeoModel
* \brief        The position of a point in 2D integer space.
*               Typedef: ::WlzGMVertexG2I.
*/
typedef struct _WlzGMVertexG2I
{
  WlzGMElemType type;                   /*!< WLZ_GMELM_VERTEX_G2I */
  int           idx;                    /*!< Unique identifier for the
                                             vertex geometry. */
  WlzIVertex2   vtx;                    /*!< Where the point lies in space. */
} WlzGMVertexG2I;

/*!
* \struct       _WlzGMVertexG2D
* \ingroup      WlzGeoModel
* \brief        The position of a point in 2D double precision space.
*               Typedef: ::WlzGMVertexG2D.
*/
typedef struct _WlzGMVertexG2D
{
  WlzGMElemType type;                   /*!< WLZ_GMELM_VERTEX_G2D */
  int           idx;                    /*!< Unique identifier for vertex
                                             geometry. */
  WlzDVertex2   vtx;                    /*!< Where the point lies in space. */
} WlzGMVertexG2D;

/*!
* \struct       _WlzGMVertexG2N
* \ingroup      WlzGeoModel
* \brief        The position of a point in 2D double precision space
*               and the normal vector at that point.
*               Note that the data structure is the same as ::WlzGMVertexG2D
*               until the normal, this is important as it allows the type,
*               index and position to be established without knowing whether
*               the vertex geometry is ::WlzGMVertexG2D or ::WlzGMVertexG2N.
*               Typedef: ::WlzGMVertexG2N.
*/
typedef struct _WlzGMVertexG2N
{
  WlzGMElemType type;                   /*!< WLZ_GMELM_VERTEX_G2N */
  int           idx;                    /*!< Unique identifier for vertex
                                             geometry */
  WlzDVertex2   vtx;                    /*!< Where the point lies in space */
  WlzDVertex2   nrm;                    /*!< Normal at the point. */
} WlzGMVertexG2N;

/*!
* \struct       _WlzGMVertexG3I
* \ingroup      WlzGeoModel
* \brief        The position of a point in 3D integer space.
*               Typedef: ::WlzGMVertexG3I.
*/
typedef struct _WlzGMVertexG3I
{
  WlzGMElemType type;                   /*!< WLZ_GMELM_VERTEX_G3I */
  int           idx;                    /*!< Unique identifier for vertex
                                             geometry. */
  WlzIVertex3   vtx;                    /*!< Where the point lies in space. */
} WlzGMVertexG3I;

/*!
* \struct       _WlzGMVertexG3D
* \ingroup      WlzGeoModel
* \brief        The position of a point in 3D double precision space.
*               Typedef: ::WlzGMVertexG3D.
*/
typedef struct _WlzGMVertexG3D
{
  WlzGMElemType type;                   /*!< WLZ_GMELM_VERTEX_G3D */
  int           idx;                    /*!< Unique identifier for vertex
                                             geometry */
  WlzDVertex3   vtx;                    /*!< Where the point lies in space */
} WlzGMVertexG3D;

/*!
* \struct       _WlzGMVertexG3N
* \ingroup      WlzGeoModel
* \brief        The position of a point in 3D double precision space
*               and the normal vector at that point.
*               Note that the data structure is the same as ::WlzGMVertexG3D
*               until the normal, this is important as it allows the type,
*               index and position to be established without knowing whether
*               the vertex geometry is ::WlzGMVertexG3D or ::WlzGMVertexG3N.
*               Typedef: ::WlzGMVertexG3N.
*/
typedef struct _WlzGMVertexG3N
{
  WlzGMElemType type;                   /*!< WLZ_GMELM_VERTEX_G3N */
  int           idx;                    /*!< Unique identifier for vertex
                                             geometry */
  WlzDVertex3   vtx;                    /*!< Where the point lies in space */
  WlzDVertex3   nrm;                    /*!< Normal at the point. */
} WlzGMVertexG3N;

/*!
* \union        _WlzGMVertexGU
* \ingroup      WlzGeoModel
* \brief        A union of pointers to the geometric properties of a point.
*               Typedef: ::WlzGMVertexGU.
*/
typedef union _WlzGMVertexGU
{
  WlzGMCore     *core;
  WlzGMVertexG2I *vg2I;
  WlzGMVertexG2D *vg2D;
  WlzGMVertexG2N *vg2N;
  WlzGMVertexG3I *vg3I;
  WlzGMVertexG3D *vg3D;
  WlzGMVertexG3N *vg3N;
} WlzGMVertexGU;

/*!
* \struct       _WlzGMVertexT
* \ingroup      WlzGeoModel
* \brief        The topological properties of a point in space.
*               The ordering of the linked list of vertex topology elements
*               formed by the 'next' and 'prev' pointers is not significant.
*               Typedef: ::WlzGMVertexT.
*/
typedef struct _WlzGMVertexT
{
  WlzGMElemType type;                   /*!< WLZ_GMELM_VERTEX_T */
  int           idx;                    /*!< Unique identifier for vertex
                                             topology element. */
  struct _WlzGMVertexT *next;           /*!< Next vertexT in disk. */
  struct _WlzGMVertexT *prev;           /*!< Previous vertexT in disk. */
  struct _WlzGMDiskT *diskT;            /*!< The disk topology element that
                                             this vertex topology element
                                             is in. */
  struct _WlzGMEdgeT *parent;           /*!< Parent of this vertex topology
                                             element. */
} WlzGMVertexT;

/*!
* \struct       _WlzGMVertex
* \ingroup      WlzGeoModel
* \brief        A single point in space defined in terms of both it's
*               geometry and it's topology.
*               Typedef: ::WlzGMVertex.
*/
typedef struct _WlzGMVertex
{
  WlzGMElemType type;                   /*!< WLZ_GMELM_VERTEX */
  int           idx;                    /*!< Unique identifier for vertex. */
  struct _WlzGMDiskT *diskT;            /*!< A disk topology element of this
                                             vertex, others can be found by
                                             following the diskT's next/prev
                                             fields. */
  WlzGMVertexGU geo;                    /*!< Geometry of this vertex. */
  struct _WlzGMVertex *next;            /*!< Next in sorted list. */
} WlzGMVertex;

/*!
* \struct       _WlzGMDiskT
* \ingroup      WlzGeoModel
* \brief        A topological disk around a vertex. In 2D or 3D manifold
*               there is one disk per vertex. But in a 3D non-manifold shell
*               many sheets (manifold surfaces components) may be connected
*               at a single vertex, in which case there is one disk per sheet.
*               The disk encodes the radial order of the vertex topology
*               elements around the vertex.
*               Typedef: ::WlzGMDiskT.
*/
typedef struct _WlzGMDiskT
{
  WlzGMElemType type;                   /*!< WLZ_GMELM_DISK_T */
  int           idx;                    /*!< Unique identifier for vertex. */
  struct _WlzGMDiskT *next;             /*!< Next diskT of vertex. */
  struct _WlzGMDiskT *prev;             /*!< Previous diskT of vertex. */
  WlzGMVertex   *vertex;                /*!< The vertex that this disk cycles
                                             around. */
  WlzGMVertexT  *vertexT;               /*!< A vertex topology element in this
                                             disk topology element. */
} WlzGMDiskT;

/*!
* \struct       _WlzGMEdgeT
* \ingroup      WlzGeoModel
* \brief        The topological properties of a directed edge.
*               Typedef: ::WlzGMEdgeT.
*/
typedef struct _WlzGMEdgeT
{
  WlzGMElemType type;                   /*!< WLZ_GMELM_EDGE_T */
  int           idx;                    /*!< Unique identifier for the edge
                                         *   topology element. */
  struct _WlzGMEdgeT *next;             /*!< Next edgeT in the parent. */
  struct _WlzGMEdgeT *prev;             /*!< Previous edgeT in the parent. */
  struct _WlzGMEdgeT *opp;              /*!< Opposite edge topology element. */
  struct _WlzGMEdgeT *rad;              /*!< The radial edge topology
                                             element. */
  struct _WlzGMEdge *edge;              /*!< The edge. */
  struct _WlzGMVertexT *vertexT;        /*!< Vertex FROM which this edge
                                             topology element is directed. */
  struct _WlzGMLoopT *parent;           /*!< Parent of this edge topology
                                             element. */
} WlzGMEdgeT;

/*!
* \struct       _WlzGMEdge
* \ingroup      WlzGeoModel
* \brief        A line or curve between a pair of vertices.
*               Although this only has a topological component a geometric
*               component would allow curves to be represented.
*               Typedef: ::WlzGMEdge.
*/
typedef struct _WlzGMEdge
{
  WlzGMElemType type;                   /*!< WLZ_GMELM_EDGE */
  int           idx;                    /*!< Unique identifier for edge. */
  WlzGMEdgeT    *edgeT;                 /*!< One of the many edge topology
                                             elements from which the others
                                             can be found by following it's
                                             opp/rad fields. */
} WlzGMEdge;

/*!
* \struct       _WlzGMLoopT
* \ingroup      WlzGeoModel
* \brief        A directed loop or the topological properties of a loop.
*               Typedef: ::WlzGMLoopT.
*/
typedef struct _WlzGMLoopT
{
  WlzGMElemType type;                   /*!< WLZ_GMELM_LOOP_T */
  int           idx;                    /*!< Unique identifier for loop
                                             topology element. */
  struct _WlzGMLoopT *next;             /*!< The next loopT in the parent. */
  struct _WlzGMLoopT *prev;             /*!< The previous loopT in the
                                             parent. */
  struct _WlzGMLoopT *opp;              /*!< The opposite loop topology
                                             element. */
  struct _WlzGMFace *face;              /*!< The face not used in 2D models. */
  WlzGMEdgeT *edgeT;                    /*!< An edge topology element in
                                             this loop topology element, the
                                             others can be found by walking
                                             the edgeT's next/prev fields. */
  struct _WlzGMShell *parent;           /*!< Parent of this loopT. */
} WlzGMLoopT;

/*!
* \struct       _WlzGMFace
* \ingroup      WlzGeoModel
* \brief        A circuit of edges.
*               Typedef: ::WlzGMFace.
*/
typedef struct _WlzGMFace
{
  WlzGMElemType type;                   /*!< WLZ_GMELM_FACE */
  int           idx;                    /*!< Unique identifier for face. */
  WlzGMLoopT    *loopT;                 /*!< A directed loop topology element
                                             of the face. */
} WlzGMFace;

/*!
* \struct       _WlzGMShellG2I
* \ingroup      WlzGeoModel
* \brief        The geometric properties of a shell in 2D integer space.
*               Typedef: ::WlzGMShellG2I.
*/
typedef struct _WlzGMShellG2I
{
  WlzGMElemType type;                   /*!< WLZ_GMELM_SHELL_G2I */
  int           idx;                    /*!< Unique identifier for shell
                                             geometry element. */
  WlzIBox2      bBox;                   /*!< The bounding box of the shell. */
} WlzGMShellG2I;

/*!
* \struct       _WlzGMShellG2D
* \ingroup      WlzGeoModel
* \brief        The geometric properties of a shell in 2D double precision
*               space.
*               Typedef: ::WlzGMShellG2D.
*/
typedef struct _WlzGMShellG2D
{
  WlzGMElemType type;                   /*!< WLZ_GMELM_SHELL_G2D */
  int           idx;                    /*!< Unique identifier for shell
                                             geometry element. */
  WlzDBox2      bBox;                   /*!< Bounding box of the shell. */
} WlzGMShellG2D;

/*!
* \struct       _WlzGMShellG3I
* \ingroup      WlzGeoModel
* \brief        The geometric properties of a shell in 3D integer space.
*               Typedef: ::WlzGMShellG3I.
*/
typedef struct _WlzGMShellG3I
{
  WlzGMElemType type;                   /*!< WLZ_GMELM_SHELL_G3I */
  int           idx;                    /*!< Unique identifier for shell
                                             geometry element. */
  WlzIBox3      bBox;                   /*!< Bounding box of the shell. */
} WlzGMShellG3I;

/*!
* \struct       _WlzGMShellG3D
* \ingroup      WlzGeoModel
* \brief        The geometric properties of a shell in 3D double precision.
*               space.
*               Typedef: ::WlzGMShellG3D.
*/
typedef struct _WlzGMShellG3D
{
  WlzGMElemType type;                   /*!< WLZ_GMELM_SHELL_G3D */
  int           idx;                    /*!< Unique identifier for shell
                                             geometry element. */
  WlzDBox3      bBox;                   /*!< Bounding box of the shell. */
} WlzGMShellG3D;

/*!
* \union        _WlzGMShellGU
* \ingroup      WlzGeoModel
* \brief        A union of pointers to the geometric properties of a shell.
*               Typedef: ::WlzGMShellGU.
*/
typedef union _WlzGMShellGU
{
  WlzGMCore     *core;
  WlzGMShellG2I *sg2I;
  WlzGMShellG2D *sg2D;
  WlzGMShellG3I *sg3I;
  WlzGMShellG3D *sg3D;
} WlzGMShellGU;

/*!
* \struct       _WlzGMShell
* \ingroup      WlzGeoModel
* \brief        A shell which is a collection of connected geometric
*               modeling elements.
*               Typedef: ::WlzGMShell.
*/
typedef struct _WlzGMShell
{
  WlzGMElemType type;                   /*!< WLZ_GMELM_SHELL */
  int           idx;                    /*!< The shell's index. */
  struct _WlzGMShell *next;             /*!< the next shell in the model. */
  struct _WlzGMShell *prev;             /*!< The previous shell in the
                                             model. */
  WlzGMShellGU geo;                     /*!< The shell's geometry. */
  WlzGMLoopT    *child;                 /*!< A child loop topology element
                                             of the shell from which all
                                             the others can be reached
                                             by walking the next/prev
                                             fields. */
  struct _WlzGMModel *parent;           /*!< The parent model of the shell. */
} WlzGMShell;

/*!
* \enum         _WlzGMCbReason
* \ingroup      WlzGeoModel
* \brief        The reason a callback function is called.
*               Typedef: ::WlzGMCbReason.
*/
typedef enum _WlzGMCbReason
{
  WLZ_GMCB_NEW,                         /*!< New element has been created. */
  WLZ_GMCB_FREE                         /*!< Existing element is about to
                                             be free'd. */
} WlzGMCbReason;

/*!
* \struct       _WlzGMResource
* \ingroup      WlzGeoModel
* \brief        A resource vector (extensible array) used for allocating
*               geometric modeling elements.
*               Typedef: ::WlzGMResource.
*/
typedef struct _WlzGMResource
{
  unsigned int  numElm;                 /*!< Number of element type in model. */
  unsigned int  numIdx;                 /*!< Number of elements/indicies which
                                             have been pulled from the vector,
                                             with elm->idx < numIdx for all
                                             elements. */
  AlcVector     *vec;                   /*!< Vector (extensible array) of
                                             elements. */
} WlzGMResource;

/*!
* \struct       _WlzGMModelR
* \ingroup      WlzGeoModel
* \brief        The resources used by a model.
*               Typedef: ::WlzGMModelR.
*/
typedef struct _WlzGMModelR
{
  struct _WlzGMCbEntry  *callbacks;             /*!< Linked list of functions which
                                            are called when new elements are
                                            created or existing elements are
                                            destroyed. */
  WlzGMResource vertex;                 /*!< Vertex elements. */
  WlzGMResource vertexT;                /*!< Vertex topology elements. */
  WlzGMResource vertexG;                /*!< Vertex geometry elements. */
  WlzGMResource diskT;                  /*!< Disk geometry elements. */
  WlzGMResource edge;                   /*!< Edge elements. */
  WlzGMResource edgeT;                  /*!< Edge topology element elements. */
  WlzGMResource face;                   /*!< Face elements. */
  WlzGMResource loopT;                  /*!< Loop topology element elements. */
  WlzGMResource shell;                  /*!< Shell elements. */
  WlzGMResource shellG;                 /*!< Shell geometry elements. */
} WlzGMModelR;

/*!
* \struct       _WlzGMModel
* \ingroup      WlzGeoModel
* \brief        A geometric model which can represent both 2D graphs
*               and 3D surfaces, with the surfaces being either
*               manifold or non-manifold.
*               The geometric model inherits it's core fields from
*               the Woolz core domain.
*               Typedef: ::WlzGMModel.
*/
typedef struct _WlzGMModel
{
  WlzGMModelType type;                  /*!< Type of model integer or double
                                         * precision, 2D or 3D */
  int           linkcount;              /*!< Core. */
  void          *freeptr;               /*!< Core. */
  WlzGMShell    *child;                 /*!< A child shell of the model, others
                                             can be reached by walking the
                                             next/prev fields. */
  int           vertexHTSz;             /*!< Vertex hash table size. */
  WlzGMVertex   **vertexHT;             /*!< Vertex hash table. */
  WlzGMModelR   res;                    /*!< Model resources. */
} WlzGMModel;

#ifndef WLZ_EXT_BIND
/*!
* \typedef      WlzGMCbFn
* \ingroup      WlzGeoModel
* \brief        A pointer function to a function called when elements of a
*               Woolz geometric model are either created or deleted.
*/
typedef void    (*WlzGMCbFn)(WlzGMModel *, WlzGMElemP ,
                             WlzGMCbReason, void *);

/*!
* \struct       _WlzGMCbEntry
* \ingroup      WlzGeoModel
* \brief        
*/
typedef struct  _WlzGMCbEntry
{
  WlzGMCbFn     fn;
  void          *data;
  struct _WlzGMCbEntry *next;
} WlzGMCbEntry;

#endif /* WLZ_EXT_BIND */

/*!
* \struct       _WlzGMResIdx
* \ingroup      WlzGeoModel
* \brief        A resource index look up table (::WlzGMResIdxTb).
*               The array of indicies is a look up table from the indicies of a
*               GM to contigous indicies suitable for copying or outputing a
*               resource vector without holes.
*               Typedef: ::WlzGMResIdx.
*/
typedef struct _WlzGMResIdx
{
  int           idxCnt;                 /*!< Number of indicies in lut. */
  int           *idxLut;                /*!< Index look up table. */
} WlzGMResIdx;

/*!
* \struct       _WlzGMResIdxTb
* \ingroup      WlzGeoModel
* \brief        Resource look up tables for all geometric elements in
*               a model.
*               Typedef: ::WlzGMResIdxTb.
*/
typedef struct _WlzGMResIdxTb
{
  WlzGMResIdx   vertex;
  WlzGMResIdx   vertexT;
  WlzGMResIdx   vertexG;
  WlzGMResIdx   diskT;
  WlzGMResIdx   edge;
  WlzGMResIdx   edgeT;
  WlzGMResIdx   face;
  WlzGMResIdx   loopT;
  WlzGMResIdx   shell;
  WlzGMResIdx   shellG;
} WlzGMResIdxTb;

/*!
* \struct      _WlzGMGridWSpCell3D
* \ingroup     WlzGeoModel
* \brief       A single cell entry in an axis aligned grid for a 3D model.
*              Typedef: ::WlzGMGridWSpCell3D
*/
typedef struct _WlzGMGridWSpCell3D
{
  WlzGMElemP    elem;                   /*! Geometric model element which
                                            intersects the cuboid of this
                                            cell. */
  struct _WlzGMGridWSpCell3D *next;     /*! The next cell in the linked list of
                                            cells. */
} WlzGMGridWSpCell3D;

/*!
* \struct      _WlzGMGridWSp3D
* \ingroup     WlzGeoModel
* \brief       An axis aligned grid of cuboid cells. This has an array (the
*              grid) of linked lists of cells, with the entries in each
*              list holding the faces of the 3D model which intersect the
*              cuboid of the cell.
*              Typedef: ::WlzGMGridWSp3D
*/
typedef struct _WlzGMGridWSp3D
{
  WlzGMModelType elemType;              /*! Element type that the grid is
                                            defined for. */
  WlzIVertex3   nCells;                 /*! Dimensions of the cell grid
                                            array in terms of the number of
                                            cells. */
  double        cellSz;                 /*! Each cell is an axis aligned
                                            square with this side length. */
  WlzDVertex3   org;                    /*! Model coordinate value at the cell
                                            origin. */
  struct _WlzGMGridWSpCell3D ****cells; /*! Array of linked list of cells. */
  int           cellVecMax;             /*! Number of cells allocated and the
                                            index into cell vector of next
                                            cell available. */
  AlcVector     *cellVec;               /*! Extensible vector of cells for
                                            adding to the array of linked lists
                                            of cells. */
} WlzGMGridWSp3D;

/************************************************************************
* Data structures for linear binary tree domains.
************************************************************************/

/*!
* \enum         _WlzLBTNodeClass2D
* \ingroup      WlzType
* \brief        Classification of a 2D LBT node a face of a 3D LBT node bycl
*               its connectivity with it's neighbouring nodes (2D) or faces
*               (3D)
*/
typedef enum _WlzLBTNodeClass2D
{
  WLZ_LBT_NODE_CLASS_2D_0,      /*!< Node has no more than one neighbour on
                                     any edge.
\verbatim
                                  0
2D  +---+       3D               /
    |   |           z      5----/4
    |   |           ^  y   |   / |
    |   |           | %    |  1  |
    +---+           |/     |     |
                    +--->x 2-----3
\endverbatim */
  WLZ_LBT_NODE_CLASS_2D_1,      /*!< Node has no more than one neighbour on all
                                     edges except one.
\verbatim
                                  0
2D  +-+-+       3D               /
    |   |           z      5--6-/4
    |   |           ^  y   |   / |
    |   |           | %    |  1  |
    +---+           |/     |     |
                    +--->x 2-----3
\endverbatim */
  WLZ_LBT_NODE_CLASS_2D_2,      /*!< Node only has more than one neighbour on
                                     adjacent edges.
\verbatim
                                  0
2D  +-+-+       3D               /
    |   |           z      5--6-/4
    |   +           ^  y   |   / |
    |   |           | %    |  1  7
    +---+           |/     |     |
                    +--->x 2-----3
\endverbatim */
  WLZ_LBT_NODE_CLASS_2D_3,      /*!< Node only has more than one neighbour on
                                     opposite edges.
\verbatim
                                  0
2D  +-+-+       3D               /
    |   |           z      5--6-/4
    |   |           ^  y   |   / |
    |   |           | %    |  1  |
    +-+-+           |/     |     |
                    +--->x 2--7--3
\endverbatim */

  WLZ_LBT_NODE_CLASS_2D_4,      /*!< Node has more than one neighbour on all
                                     edges except one.
\verbatim
                                  0
2D  +-+-+       3D               /
    |   |           z      5--6-/4
    |   +           ^  y   |   / |
    |   |           | %    |  1  8
    +-+-+           |/     |     |
                    +--->x 2--7--3
\endverbatim */
  WLZ_LBT_NODE_CLASS_2D_5       /*!< Node has more than one neighbour on all
                                     edges.
\verbatim
                                  0
2D  +-+-+       3D               /
    |   |           z      5--6-/4
    +   +           ^  y   |   / |
    |   |           | %    9  1  8
    +-+-+           |/     |     |
                    +--->x 2--7--3
\endverbatim */
} WlzLBTNodeClass2D;

/*!
* \def          WLZ_LBTDOMAIN_MAXDIGITS
* \ingroup      WlzType
* \brief        The maximum number of linear binary tree key digits,
*               which must be less than the number of bits in an int.
*/
#define WLZ_LBTDOMAIN_MAXDIGITS (30)

/*!
* \enum         _WlzLBTNodeFlags
* \ingroup      WlzGeoModel
* \brief        The reason a callback function is called.
*               Typedef: ::WlzGMCbReason.
*/
typedef enum _WlzLBTNodeFlags
{
  WLZ_LBT_NODE_FLAG_NONE        = 0,
  WLZ_LBT_NODE_FLAG_BOUNDARY    = 1     /*!< Node is adjacent to the objects
                                             boundary. */
} WlzLBTNodeFlags;

/*!
* \struct       _WlzLBTNode2D
* \ingroup      WlzType
* \brief        A 2D linear binary tree node for spatial domain representation.
*               Typedef: ::WlzLBTNode2D.
*/
typedef struct _WlzLBTNode2D
{
  unsigned              flags;          /*!< Bit flags fo the node. */
  unsigned              keys[3];        /*!< A single location key which
                                             uses bit interleaving with
                                             the bits interleaved between
                                             the elements for column, line
                                             and term in that order.
                                             Each of the array elements must
                                             have at least
                                             WLZ_LBTDOMAIN_MAXDIGITS bits. */
} WlzLBTNode2D;

/*!
* \struct       _WlzLBTNode3D
* \ingroup      WlzType
* \brief        A 3D linear binary tree node for spatial domain representation.
*               Typedef: ::WlzLBTNode3D.
*/
typedef struct _WlzLBTNode3D
{
  unsigned              flags;          /*!< Bit flags fo the node. */
  unsigned              keys[4];        /*!< A single location key which
                                             uses bit interleaving with
                                             the bits interleaved between
                                             the elements for column, line
                                             plane and term in that order.
                                             Each of the array elements must
                                             have at least
                                             WLZ_LBTDOMAIN_MAXDIGITS bits. */
} WlzLBTNode3D;

/*!
* \struct       _WlzLBTDomain2D
* \ingroup      WlzType
* \brief        A 2D linear binary tree spatial domain representation.
*               Typedef: ::WlzLBTDomain2D.
*/
typedef struct _WlzLBTDomain2D
{
  WlzObjectType         type;           /*!< From WlzCoreDomain. */
  int                   linkcount;      /*!< From WlzCoreDomain. */
  void                  *freeptr;       /*!< From WlzCoreDomain. */
  int                   line1;          /*!< First line coordinate. */
  int                   lastln;         /*!< Last line coordinate. */
  int                   kol1;           /*!< First column line
                                             coordinate. */
  int                   lastkl;         /*!< Last column  line
                                             coordinate. */
  int                   depth;          /*!< LBT depth. */
  int                   nNodes;         /*!< Number of nodes in the
                                             tree. */
  int                   maxNodes;       /*!< Number of nodes
                                             allocated. */
  WlzLBTNode2D          *nodes;         /*!< Array of nodes sorted by their
                                             location key. */
} WlzLBTDomain2D;

/*!
* \struct       _WlzLBTDomain3D
* \ingroup      WlzType
* \brief        A 3D linear binary tree spatial domain representation.
*               Typedef: ::WlzLBTDomain3D.
*/
typedef struct _WlzLBTDomain3D
{
  WlzObjectType         type;           /*!< From WlzCoreDomain. */
  int                   linkcount;      /*!< From WlzCoreDomain. */
  void                  *freeptr;       /*!< From WlzCoreDomain. */
  int                   plane1;         /*!< First plane coordinate. */
  int                   lastpl;         /*!< Last plane coordinate. */
  int                   line1;          /*!< First line coordinate. */
  int                   lastln;         /*!< Last line coordinate. */
  int                   kol1;           /*!< First column line
                                             coordinate. */
  int                   lastkl;         /*!< Last column  line
                                             coordinate. */
  int                   depth;          /*!< LBT depth. */
  int                   nNodes;         /*!< Number of nodes in the
                                             tree. */
  int                   maxNodes;       /*!< Number of nodes
                                             allocated. */
  WlzLBTNode3D          *nodes;         /*!< Array of nodes sorted by their
                                             location key. */
} WlzLBTDomain3D;

/************************************************************************
* Data structures for contours (both 2D and 3D).
************************************************************************/

/*!
* \enum         _WlzContourMethod
* \ingroup      WlzContour
* \brief        Contour generation methods.
                Typedef: ::WlzContourMethod.
*/
typedef enum _WlzContourMethod
{
  WLZ_CONTOUR_MTD_ISO,                  /*!< Iso-value. */
  WLZ_CONTOUR_MTD_GRD,                  /*!< Maximum gradient value. */
  WLZ_CONTOUR_MTD_BND,                  /*!< Object boundary. */
  WLZ_CONTOUR_MTD_RBFBND                /*!< Object boundary established using
                                             a radial basis function. */
} WlzContourMethod;

/*!
* \struct       _WlzContour
* \ingroup      WlzContour
* \brief        A collection of 2D polylines or 3D surface elements
*               represented by a Woolz geometric model.
*               Typedef: ::WlzContour.
*/
typedef struct _WlzContour
{
  WlzObjectType type;                   /*!< WLZ_CONTOUR. */
  int           linkcount;              /*!< Core. */
  void          *freeptr;               /*!< Core. */
  WlzGMModel    *model;                 /*!< The Woolz geometric model
                                             defining the contour. */
} WlzContour;


#ifndef WLZ_EXT_BIND
/*!
* \typedef      Wlz3DProjectionIntFn
* \ingroup      WlzFunction
* \brief        Callback function for the WlzGetProjectionFromObject().
*/
typedef WlzPixelV (*Wlz3DProjectionIntFn)(WlzPixelP, int, int, void *,
                                          WlzErrorNum *);
#endif

/*!
* \struct       _WlzLUTDomain
* \ingroup      WlzType
* \brief        A look up table domain.
*               Typedef: ::WlzLUTDomain.
*/
typedef struct _WlzLUTDomain
{
  WlzObjectType type;                   /*!< WLZ_LUT. */
  int           linkcount;              /*!< Core. */
  void          *freeptr;               /*!< Core. */
  int           bin1;                   /*!< Index of the first bin in the
                                             LUT. */
  int           lastbin;                /*!< Index of the last bin in the
                                             LUT. */
} WlzLUTDomain;

/*!
* \union        _WlzValues
* \ingroup      WlzType
* \brief        The union of Woolz values.
*               Typedef: ::WlzValues.
*/
typedef union _WlzValues
{
  struct _WlzCoreValues     *core;
  struct _WlzRagRValues     *v;
  struct _WlzRectValues     *r;
  struct _WlzIntervalValues *i;
  struct _WlzConvHullValues *c;
  struct _WlzVoxelValues    *vox;
  struct _WlzObject         *obj;
  struct _WlzFeatValues     *fv;
  struct _WlzRectFeatValues *rfv;
  struct _WlzIndexedValues  *x;
  struct _WlzTiledValues    *t;
  struct _WlzLUTValues      *lut;
  struct _WlzPointValues    *pts;
} WlzValues;

/*!
* \union        _WlzDomain
* \ingroup      WlzType
* \brief        The union of Woolz domains.
*               Typedef: ::WlzDomain.
*/
typedef union _WlzDomain
{
  struct _WlzCoreDomain      *core;
  struct _WlzIntervalDomain  *i;
  struct _WlzPlaneDomain     *p;
  struct _WlzPolygonDomain   *poly;
  struct _WlzBoundList       *b;
  struct _WlzHistogramDomain *hist;
  struct _WlzRect            *r;
  struct _WlzFRect           *fr;
  struct _WlzAffineTransform *t;
  struct _WlzWarpTrans       *wt;
  struct _WlzContour         *ctr;
  struct _WlzMeshTransform   *mt;
  struct _WlzLBTDomain2D     *l2;
  struct _WlzLBTDomain3D     *l3;
  struct _WlzCMesh2D         *cm2;
  struct _WlzCMesh2D5        *cm2d5;
  struct _WlzCMesh3D         *cm3;
  struct _WlzPoints          *pts;
  struct _WlzLUTDomain       *lut;
  struct _WlzConvHullDomain2 *cvh2;
  struct _WlzConvHullDomain3 *cvh3;
  struct _WlzThreeDViewStruct *vs3d;
  struct _WlzBSpline          *bs;
} WlzDomain;

/*!
* \struct       _WlzPropertyList
* \ingroup      WlzProperty
* \brief        A property list which has a type, link count and a
*               linked list of properties.
*/
typedef struct  _WlzPropertyList
{
  WlzObjectType type;
  int           linkcount;
  AlcDLPList    *list;
} WlzPropertyList;

/*!
* \struct       _WlzCoreProperty
* \ingroup      WlzProperty
* \brief        Core property with sufficient to data to provide the type
*               and enough to allow the property to be freed.
*               Typedef: ::WlzCoreProperty.
*/
typedef struct _WlzCoreProperty
{
  WlzObjectType         type;                   /*!< Type */
  int                   linkcount;              /*!< linkcount */
  void                  *freeptr;               /*!< free pointer */
} WlzCoreProperty;

/*!
* \struct       _WlzSimpleProperty
* \ingroup      WlzProperty
* \brief        A simple property to hold arbitrary length string data.
*               Read and writing then coercing to a structure with
*               numerical values will not be portable.
*               Typedef: ::WlzSimpleProperty.
*/
typedef struct _WlzSimpleProperty
{
  WlzObjectType         type;                   /*!< Type */
  int                   linkcount;              /*!< linkcount */
  void                  *freeptr;               /*!< free pointer */
  unsigned long         size;                   /*!< Data size of the property */
  void                  *prop;                  /*!< Pointer to the property */
} WlzSimpleProperty;

/*!
* \def          EMAP_PROPERTY_MODELNAME_LENGTH
* \ingroup      WlzProperty
* \brief        Maximum length of the model name in an EMAP property.
*/
#define EMAP_PROPERTY_MODELNAME_LENGTH  32

/*!
* \def          EMAP_PROPERTY_UID_LENGTH
* \ingroup      WlzProperty
* \brief        Maximum length of the model or anatomy UID in an EMAP property.
*/
#define EMAP_PROPERTY_UID_LENGTH        16

/*!
* \def          EMAP_PROPERTY_VERSION_LENGTH
* \ingroup      WlzProperty
* \brief        Maximum length of the version string in an EMAP property.
*/
#define EMAP_PROPERTY_VERSION_LENGTH    16

/*!
* \def          EMAP_PROPERTY_AUTHORNAME_LENGTH
* \ingroup      WlzProperty
* \brief        Maximum length of the author strings in an EMAP property.
*/
#define EMAP_PROPERTY_AUTHORNAME_LENGTH 64

/*!
* \def          EMAP_PROPERTY_MACHINENAME_LENGTH
* \ingroup      WlzProperty
* \brief        Maximum length of the machine name strings in an EMAP property.
*/
#define EMAP_PROPERTY_MACHINENAME_LENGTH 64

/*!
* \def          EMAP_PROPERTY_STAGE_LENGTH
* \ingroup      WlzProperty
* \brief        Maximum length of the stage strings in an EMAP property.
*/
#define EMAP_PROPERTY_STAGE_LENGTH 32

/*!
* \struct       _WlzEMAPProperty
* \ingroup      WlzProperty
* \brief        A property to hold EMAP information to attach to
*               the reference models, anatomy and GE domains. MAPaint
*               and atlas tools will propogate the information as 
*               required.
*               Typedef: ::WlzEMAPProperty.
*/
typedef struct _WlzEMAPProperty
{
  WlzObjectType         type;                           /*!< Type */
  int                   linkcount;                      /*!< linkcount */
  void                  *freeptr;                       /*!< free pointer */
  WlzEMAPPropertyType   emapType;                       /*!< EMAP property type */
  char                  modelUID[EMAP_PROPERTY_UID_LENGTH]; /*!< model UID */
  char                  anatomyUID[EMAP_PROPERTY_UID_LENGTH];/*!< anatomy UID */
  char                  targetUID[EMAP_PROPERTY_UID_LENGTH];/*!< target model UID */
  char                  targetVersion[EMAP_PROPERTY_VERSION_LENGTH]; /*!< target model version */
  char                  stage[EMAP_PROPERTY_STAGE_LENGTH];/*!< Embryo  stage */
  char                  subStage[EMAP_PROPERTY_STAGE_LENGTH];/*!< Embryo  sub-stage */
  char                  modelName[EMAP_PROPERTY_MODELNAME_LENGTH];/*!< Volume model name */
  char                  version[EMAP_PROPERTY_VERSION_LENGTH];/*!< Model version */
  char                  *fileName;                      /*!< Original filename (not very useful) */
  long                  creationTime;                   /*!< Original creation time */
  char                  creationAuthor[EMAP_PROPERTY_AUTHORNAME_LENGTH];/*!< Creation author */
  char                  creationMachineName[EMAP_PROPERTY_MACHINENAME_LENGTH];/*!< Original creation machine name */
  long                  modificationTime;               /*!< Modification time */
  char                  modificationAuthor[EMAP_PROPERTY_AUTHORNAME_LENGTH];/*!< Modification author */
  char                  *comment;                       /*!< Text comment
                                                             string. */
} WlzEMAPProperty;

/*!
* \struct       _WlzNameProperty
* \ingroup      WlzProperty
* \brief        A simple null terminated ASCII string for the object's
*               name.
*               Typedef: ::WlzNameProperty.
*/
typedef struct _WlzNameProperty
{
  WlzObjectType         type;                   /*!< Type. */
  int                   linkcount;              /*!< linkcount. */
  void                  *freeptr;               /*!< Free pointer. */
  char                  *name;                  /*!< A simple ASCII name
                                                     string. */
} WlzNameProperty;

/*!
* \struct       _WlzGreyProperty
* \ingroup      WlzProperty
* \brief        A single grey value, which for example might represent
*               the preferred display colour of a binary domain.
*               Typedef: ::WlzGreyProperty.
*/
typedef struct _WlzGreyProperty
{
  WlzObjectType         type;                   /*!< Type. */
  int                   linkcount;              /*!< linkcount. */
  void                  *freeptr;               /*!< Free pointer. */
  char                  *name;                  /*!< An associated name
                                                     string which conveys
                                                     the meaning of the 
                                                     value. May be NULL */
  struct _WlzPixelV     value;                  /*!< The pixel value which
                                                     both encodes the grey type
                                                     and it's value. */
} WlzGreyProperty;

/*!
* \struct       _WlzTextProperty
* \ingroup      WlzProperty
* \brief        A pair of simple null terminated ASCII strings one for the
*               property name and one for it's value.
*               Typedef: ::WlzTextProperty.
*/
typedef struct _WlzTextProperty
{
  WlzObjectType         type;                   /*!< Type. */
  int                   linkcount;              /*!< linkcount. */
  void                  *freeptr;               /*!< Free pointer. */
  char                  *name;                  /*!< Name string. */
  char                  *text;                  /*!< Text string. */
} WlzTextProperty;

/*!
* \union        _WlzProperty
* \ingroup      WlzProperty
* \brief        A union of pointers for properties.
*               Typedef: WlzProperty.
*/
typedef union _WlzProperty
{
  struct _WlzCoreProperty       *core;
  struct _WlzSimpleProperty     *simple;
  struct _WlzEMAPProperty       *emap;
  struct _WlzNameProperty       *name;
  struct _WlzGreyProperty       *greyV;
  struct _WlzTextProperty       *text;
} WlzProperty;

/************************************************************************
* The Woolz objects.
************************************************************************/
/*!
* \struct       _WlzCoreObject
* \ingroup      WlzType
* \brief        The core Woolz object type which can be used to determine
*               the type of a Woolz object. 
*               Typedef: ::WlzCoreObject.
*/
typedef struct _WlzCoreObject
{
  WlzObjectType type;                   /*!< The Woolz object type. */
  int           linkcount;              /*!< The link count: A counter
                                             for the number of references to
                                             the object, which should only be
                                             accessed through WlzUnlink(),
                                             WlzAssignObject() and
                                             WlzFreeObj(). */
} WlzCoreObject;

/*!
* \struct       _WlzObject
* \ingroup      WlzType
* \brief        The Woolz object.
*               Typedef: ::WlzObject.
*/
typedef struct _WlzObject
{
  WlzObjectType      type;              /*!< From WlzCoreObject. */
  int                linkcount;         /*!< From WlzCoreObject. */
  WlzDomain          domain;            /*!< The objects domain: It's
                                             spatial extent or
                                             geometric properties. */
  WlzValues          values;            /*! The values defined within
                                            the object's domain. */
  WlzPropertyList    *plist;            /*! A list of the object's
                                            properties. */
  struct _WlzObject  *assoc;            /*! An object which is
                                            assosciated with this object. */
} WlzObject;

/*!
* \struct       _WlzCompoundArray
* \ingroup      WlzType
* \brief        A compound object implemented as either an array or
*               a linked list of other objects. There is a distinction between
*               an compound of the same type (e.g. resulting from a labelling)
*               and a compound of different types (e.g. resulting from a range
*               of image processes from a single original object).
*               Typedef: ::WlzCompoundArray.
*/
typedef struct _WlzCompoundArray
{
  WlzObjectType type;                   /*!< From WlzCoreObject. */
  int           linkcount;              /*!< From WlzCoreObject. */
  WlzObjectType otype;                  /*!< The permitted type if
                                            constrained. */
  int           n;                      /*!< The  number of objects */
  WlzObject     **o;                    /*!< The list of Woolz object
                                             pointers. */
  WlzPropertyList *plist;               /*! A list of the object's
                                            properties.  */
  WlzObject     *assoc;
} WlzCompoundArray;

/************************************************************************
* Domains.
************************************************************************/
/*!
* \struct       _WlzCoreDomain
* \ingroup      WlzType
* \brief        The core domain: All Woolz domains have all the fields
*               of the core domain in the same order and before any
*               others, so allowing a domain to be assigned, freed
*               and have it's type established.
                Typedef: ::WlzCoreDomain.
*/
typedef struct _WlzCoreDomain
{
  WlzObjectType   type;                         /*!< The type of domain. */
  int             linkcount;                    /*!< The link count: A counter
                                                     for the number of
                                                     references to the domain,
                                                     which should only be
                                                     accessed through
                                                     WlzUnlink(),
                                                     WlzAssignDomain() and
                                                     WlzFreeDomain(). */
  void            *freeptr;                     /*!< A stack with pointers
                                                     that can be freed by
                                                     AlcFreeStackFree(). */
} WlzCoreDomain;

/*!
* \struct       _WlzIntervalDomain
* \ingroup      WlzType
* \brief        A 2D domain defining an arbitrary  region of space in 2D.
*               The domain may be of type WLZ_INTERVALDOMAIN_INTVL or
*               WLZ_INTERVALDOMAIN_RECT. If the domain is of type
*               WLZ_INTERVALDOMAIN_RECT then the intvlines field is
*               not used. For WLZ_INTERVALDOMAIN_INTVL domains the
*               intervals in a line must be contiguous.
*               Typedef: ::WlzIntervalDomain.
*/
typedef struct _WlzIntervalDomain
{
  WlzObjectType     type;                       /*!< From WlzCoreDomain. */
  int               linkcount;                  /*!< From WlzCoreDomain. */
  void              *freeptr;                   /*!< From WlzCoreDomain. */
  int               line1;                      /*!< First line coordinate. */
  int               lastln;                     /*!< Last line coordinate. */
  int               kol1;                       /*!< First column
                                                     coordinate. */
  int               lastkl;                     /*!< Last column coordinate. */
  struct _WlzIntervalLine *intvlines;           /*!< Array of interval line
                                                     structures. */
} WlzIntervalDomain;

/*!
* \struct       _WlzPlaneDomain
* \ingroup      WlzType
* \brief        A 3D domain defining an arbitrary  region of space in 3D.
*               The 3D plane domain composed of plane-wise array of 2D domains.
*               Typedef: ::WlzPlaneDomain.
*/
typedef struct _WlzPlaneDomain
{
  WlzObjectType     type;                       /*!< From WlzCoreDomain. */
  int               linkcount;                  /*!< From WlzCoreDomain. */
  void              *freeptr;                   /*!< From WlzCoreDomain. */
  int               plane1;                     /*!< First plane coordinate. */
  int               lastpl;                     /*!< Last plane coordinate. */
  int               line1;                      /*!< First line coordinate. */
  int               lastln;                     /*!< Last line coordinate. */
  int               kol1;                       /*!< First column line
                                                     coordinate. */
  int               lastkl;                     /*!< Last column  line
                                                     coordinate. */
  WlzDomain         *domains;                   /*!< Array of pointers to
                                                     2D domains. */
  float             voxel_size[3];              /*!< Array of nominal voxel
                                                     dimensions. */
} WlzPlaneDomain;

/************************************************************************
* Intervals.                                            
************************************************************************/
/*!
* \struct       _WlzIntervalLine
* \ingroup      WlzType
* \brief        A line of intervals.
*               Typedef: ::WlzIntervalLine.
*/
typedef struct _WlzIntervalLine
{
  int                  nintvs;          /*!< Number of intervals on line. */
  struct _WlzInterval *intvs;           /*!< Array of intervals. */
} WlzIntervalLine;

/*!
* \struct       _WlzInterval
* \ingroup      WlzType
* \brief        A single interval.
*               Typedef: ::WlzInterval.
*/
typedef struct _WlzInterval
{
  int ileft;                            /*!< Left most pixel of interval. */
  int iright;                           /*!< Right most pixel of interval. */
} WlzInterval;

/*!
* \struct       _WlzDynItvPool
* \ingroup      WlzType
* \brief        Dynamic interval pool, for building interval domains.
*               Typedef: ::WlzDynItvPool.
*/
typedef struct _WlzDynItvPool
{
  WlzInterval   *itvBlock;              /*!< Array of intervals. */
  int           itvsInBlock;            /*!< Number of intervals in array. */
  int           offset;                 /*!< Offset into array for next
                                             available interval. */
} WlzDynItvPool;

/*!
* \struct       _WlzPartialItv2D
* \ingroup      DomainOps
* \brief        Data structure that can be used to hold partial intervals.
*               These can then be sorted and condensed to find the intervals
*               for an interval domain.
*/
typedef struct _WlzPartialItv2D
{
  int                   ileft;
  int                   iright;
  int                   ln;
} WlzPartialItv2D;

/*!
* \struct       _WlzPartialItv3D
* \ingroup      DomainOps
* \brief        Data structure that can be used to hold partial intervals.
*               These can then be sorted and condensed to find the intervals
*               for a plane domain.
*/
typedef struct _WlzPartialItv3D
{
  int                   ileft;
  int                   iright;
  int                   ln;
  int                   pl;
} WlzPartialItv3D;

/************************************************************************
* Value tables.
************************************************************************/

/*!
* \struct       _WlzCoreValues
* \ingroup      WlzType
* \brief        All Woolz value tables must have all the fields of the
*               core values, in the same order and before any others,
*               so allowing a values to be assigned, freed and have it's
*               type established.
*               Typedef: ::WlzCoreValues.
*/
typedef struct _WlzCoreValues
{
  WlzObjectType type;   
  int       linkcount;  
} WlzCoreValues;

/*!
* \struct       _WlzValueLine
* \ingroup      WlzType
* \brief        Grey values along a line.
*               Typedef: ::WlzValueLine.
*/
typedef struct _WlzValueLine
{
  int      vkol1;                       /*!< Relative left end. */
  int      vlastkl;                     /*!< Relative right end. */
  WlzGreyP values;                      /*!< Array of values. */
} WlzValueLine;

/*!
* \struct       _WlzTiledValueBuffer
* \ingroup      WlzType
* \brief        Position of and data for locating and buffering any interval
*               of values in either 2 or 3D tiled value table.
*/
typedef struct _WlzTiledValueBuffer
{
  int           pl;                     /*!< Plane of interval (relative to 
                                             tiled value table. */
  int           ln;                     /*!< Line of interval (relative to 
                                             tiled value table. */
  int           kl[2];                  /*!< Left most then right most column
                                             of interval (relative to tiled
                                             value table. */
  size_t        lo;                     /*!< Partial line offset within a
                                             tile. */
  size_t        li;                     /*!< Partial line index to a tile. */
  int           valid;                  /*!< Non-zero if the line buffer has
                                             valid values. */
  int           mode;                   /*!< Valid access modes for the
                                             tiled values. */
  WlzGreyType   gtype;                  /*!< Grey type buffer allocaed for. */
  WlzGreyP      lnbuf;                  /*!< Buffer large enough to hold any
                                             single line of values padded to
                                             an integral number of tile widths.
                                             The values are all relative to the
                                             value table origin. */
} WlzTiledValueBuffer;

/*!
* \struct       _WlzRagRValues
* \ingroup      WlzType
* \brief        The ragged rectangle values table.
*               The type encodes both the type of value table and the type of
*               grey value.
*               Typedef: ::WlzRagRValues.
*/
typedef struct _WlzRagRValues
{
  WlzObjectType type;                   /*!< From WlzCoreValues. */
  int       linkcount;                  /*!< From WlzCoreValues. */
  void      *freeptr;                   /*!< From WlzCoreValues. */
  WlzValues original_table;             /*!< If non-NULL, the values table
                                             which owns the raw values we
                                             are using. */
  int       line1;                      /*!< First line. */
  int       lastln;                     /*!< Last line. */
  int       kol1;                       /*!< First column. */
  int       width;                      /*!< Width. */
  WlzPixelV bckgrnd;                    /*!< Background value for pixels not
                                             in object. */
  WlzValueLine *vtblines;               /*!< Array of value table line
                                             structures. */
} WlzRagRValues;

/*!
* \struct       _WlzRectValues
* \ingroup      WlzType
* \brief        The rectangle values table.
*               The type encodes both the type of value table and the type of
*               grey value.
*               Typedef: ::WlzRectValues.
*/
typedef struct _WlzRectValues
{
  WlzObjectType type;                   /*!< From WlzCoreValues. */
  int           linkcount;              /*!< From WlzCoreValues. */
  void          *freeptr;               /*!< From WlzCoreValues. */
  WlzValues     original_table;         /*!< If non-NULL, the values table
                                             which owns the raw values we
                                             are using. */
  int           line1;                  /*!< First line. */
  int           lastln;                 /*!< Last line. */
  int           kol1;                   /*!< First column. */
  int           width;                  /*!< Width. */
  WlzPixelV     bckgrnd;                /*!< Background value for points
                                             not in object. */
  WlzGreyP      values;                 /*!< Contiguous array of values. */
} WlzRectValues;

/*!
* \struct       _WlzValueIntervalLine
* \ingroup      WlzType
* \brief        One line's worth of grey value intervals.
*               Typedef: ::WlzValueIntervalLine.
*/
typedef struct _WlzValueIntervalLine
{
  int           nintvs;                 /*!< Number of grey value intervals. */
  WlzValueLine *vtbint;                 /*!< Pointer to grey value
                                             intervals. */
} WlzValueIntervalLine;

/*!
* \struct       _WlzIntervalValues
* \ingroup      WlzType
* \brief        An interval structured value table.
*               The type encodes both the type of value table and the type of
*               grey value.
*               Typedef: ::WlzIntervalValues.
*/
typedef struct _WlzIntervalValues
{
  WlzObjectType type;                   /*!< From WlzCoreValues. */
  int           linkcount;              /*!< From WlzCoreValues. */
  void          *freeptr;               /*!< From WlzCoreValues. */
  WlzValues     original_table;         /*!< If non-NULL, the values table
                                             which owns the raw values we
                                             are using. */
  int           line1;                  /*!< First line. */
  int           lastln;                 /*!< Last line. */
  int           kol1;                   /*!< First column. */
  int           width;                  /*!< Width. */
  WlzPixelV     bckgrnd;                /*!< Background value for points
                                             not in object. */
  WlzValueIntervalLine *vil;            /*!< Pointers to structures of grey
                                             table lines. */
} WlzIntervalValues;

/*!
* \struct       _WlzVoxelValues
* \ingroup      WlzType
* \brief        Voxel value table.
*               Typedef: ::WlzVoxelValues.
*/
typedef struct _WlzVoxelValues
{
  WlzObjectType type;                   /*!< From WlzCoreValues. */
  int           linkcount;              /*!< From WlzCoreValues. */
  void          *freeptr;               /*!< From WlzCoreValues. */
  WlzValues     original_table;         /*!< If non-NULL, the values table
                                             which owns the raw values we
                                             are using. */
  int           plane1;                 /*!< First plane. */
  int           lastpl;                 /*!< Last plane. */
  WlzPixelV     bckgrnd;                /*!< Background value for points
                                             not in object. */
  WlzValues     *values;                /*!< Array of pointers to value
                                             tables. */
} WlzVoxelValues;

/*!
* \struct       _WlzValueAttach
* \ingroup      WlzType
* \brief        Specifies what values (for example thoose in an indexed
                value table) are attached to.
*               Enum: ::WlzValueAttach
*/
typedef enum _WlzValueAttach
{
  WLZ_VALUE_ATTACH_NONE,                /*!< No attachment. */
  WLZ_VALUE_ATTACH_NOD,                 /*!< Attached to mesh nodes. */
  WLZ_VALUE_ATTACH_ELM                 /*!< Attached to mesh elements. */
} WlzValueAttach;

/*!
* \struct       _WlzIndexedValues
* \ingroup      WlzType
* \brief        In indexed value table.
*               Typedef: ::WlzIndexedValues.
*/
typedef struct _WlzIndexedValues
{
  WlzObjectType type;                   /*!< From WlzCoreValues:
                                             WLZ_INDEXED_VALUES. */
  int           linkcount;              /*!< From WlzCoreValues. */
  void          *freeptr;               /*!< From WlzCoreValues, although
                                             this won't free the values
                                             themselves. */
  int           rank;                   /*!< The rank of the individual values.
                                             Here the rank for a scalar is 0,
                                             for a 1D array it is 1 and for
                                             and for individual values that
                                             are nD arrays the rank is n. */
  int           *dim;                   /*!< The dimensions of individual
                                             indexed values. The dimensions
                                             are a 1D array with the number
                                             of entries equal to the rank.
                                             A dimension array is only
                                             allocated if the rank > 0,
                                             for rank == 0 dim is NULL. */
  WlzGreyType   vType;                  /*!< The type of the data in the
                                             individual values. */
  WlzValueAttach attach;                /*!< Specifies what the values are
                                             attached to. */
  AlcVector     *values;                /*!< The indexed values. */
} WlzIndexedValues;

/*!
* \struct       _WlzTiledValues
* \ingroup      WlzType
* \brief        A  tiled value table for both 2 an 3D domain objects.
*               Typedef: ::WlzTiledValues.
*
*               Individual pixel/voxel values may contain a single
*               (scalar) value of a multidimensional array of values.
*               When an array of values is used the values are held
*               contiguously.
*               
*               The grey values are stored in square or cubic tiles
*               with tileSz being the number of values in each tile
*               irrespective of the grey value type. An index to the
*               tiles is stored as a simple one dimensional array.
*
*               To access a grey value at some position \f$(x,y,z)\f$
*               which is known to be within the tiled value table:
*               First the position relative to the first column (\f$x_0\f$),
*               line (\f$y_0\f$) and plane (\f$z_0\f$)of the value table
*               is computed:
*               \f$x_r = x - x_0, y_r = y - y_0, z_r = z - z_0\f$.
*               The tile index (\f$i\f$) and within tile offset (\f$o\f$)
*               are then computed:
*               \f{eqnarray*}
                i_x = x_r / w \\
                i_y = y_r / w \\
                i_z = z_r / w \\
                o_x = x_r - (w i_x) \\
                o_y = y_r - (w i_y) \\
                o_z = z_r - (w i_z) \\
                i = (((i_z ni_y) + i_y) ni_x) + i_x \\
                o = (((o_z nt_y) + o_y) nt_x) + o_x \\
                g = T \left[ ( I \left[ i \right] t_s) + o \right]
                \f}
*               Where \f$I\f$ is the index table and \f$T\f$ the start
*               of the tile data.
*
*               The tile data may be memory mapped instead of read into
*               memory in which case the file descriptor will have a
*               non-negative value. This can be used to close the file.
*
*               A memory mapped tiled values object can only have it's
*               grey values changed if the file was opened for writing
*               attempting to change the grey values of an object only
*               opened for read will lead to a memory fault. The read/write
*               status is respected by the interval scanning access function
*               WlzNextGreyInterval(), but code which uses random access
*               via WlzGreyValueGet() or sequential access via WlzIterate()
*               should check this. Attempting to write to the memory mapped
*               values of an object only opened for reading will give a
*               segmentation fault. A tiled values object can be written
*               to only if the file descriptor is invalid (< 0) or if
*               the file was opened in write or append mode. The function
*               WlzTiledValuesMode() may also be used to determine the
*               appropriate access mode(s) for the values table.
*/
typedef struct _WlzTiledValues
{
  WlzObjectType type;                   /*!< From WlzCoreValues:
                                             built from WLZ_GREY_TAB_TILED
                                             and the grey value type. */
  int           linkcount;              /*!< From WlzCoreValues. */
  void          *freeptr;               /*!< From WlzCoreValues, although
                                             this won't free the values
                                             themselves. */
  WlzValues     original_table;         /*!< If non-NULL, the values table
                                             which owns the raw values we
                                             are using. */
  int           dim;                    /*!< The dimension of the value table,
                                             ie 2 or 3D. */
  int           kol1;                   /*!< First column. */
  int           lastkl;                 /*!< Last column. */
  int           line1;                  /*!< First line. */
  int           lastln;                 /*!< Last line. */
  int           plane1;                 /*!< First plane. */
  int           lastpl;                 /*!< Last plane. */
  WlzPixelV     bckgrnd;                /*!< Background value. */
  unsigned int  vRank;                  /*!< The rank of the individual values.
                                             Here the rank for a scalar is 0,
                                             for a 1D array it is 1 and for
                                             and for individual values that
                                             are nD arrays the rank is n.
                                             The rank will only ever be > 0
                                             when the grey table type is
                                             composed using rank > 0. */
  unsigned int  *vDim;                  /*!< The dimensions of individual
                                             values. The dimensions are a
                                             1D array with the number of
                                             entries equal to the rank.
                                             A dimension array is only
                                             allocated if the rank > 0,
                                             for rank == 0 dim is NULL. */
  unsigned int  vpe;                    /*!< Values per element which has the
                                             value
                               \f$ \prod_i^\textrm{vRank}{\textrm{vDim}[i]} \f$
                                             as compulted by
                                             WlzTiledValuesValPerElm()
                                             (value 1 when vRank = 0) 
                                             is included since it is frequently
                                             used. */
  size_t        tileSz;                 /*!< The number of elements in each
                                             tile which may be less than
                                             the number of bytes. */
  size_t        tileWidth;              /*!< Width of the tiles (\f$w\f$). */
  size_t        numTiles;               /*!< The total number of tiles. */
  int           *nIdx;                  /*!< Number of index columns,
                                             lines, .... */
  unsigned int  *indices;               /*!< Table of tile indices. */
  int           fd;                     /*!< File descriptor if tiles are
                                             memory mapped else -1. */
  long          tileOffset;             /*!< Offset from the start of the
                                             file to the tiles. This may be
                                             set even if not memory mapped. */
  WlzGreyP      tiles;                  /*!< The tiles. */
} WlzTiledValues;

/*!
* \def          WLZ_TILEDVALUES_TILE_SIZE
* \ingroup      WlzType
* \brief        The default number of pixels/voxels in a tiled value
*               table tile. Chosen so that tiles will occupy an integer
*               number of disk block,
*/
#define WLZ_TILEDVALUES_TILE_SIZE       (4096)

/*!
* \struct       _WlzLUTValues
* \ingroup      WlzType
* \brief        Look up table values.
*               Typedef: ::WlzLUTValues
*/
typedef struct _WlzLUTValues
{
  WlzObjectType type;                   /*!< WLZ_LUT. */
  int           linkcount;              /*!< From WlzCoreValues. */
  void          *freeptr;               /*!< From WlzCoreValues. */
  WlzGreyType   vType;                  /*!< Type for the LUT values. */
  int           maxVal;                 /*!< Number of values allocated. */
  WlzGreyP      val;                    /*!< LUT values. */
} WlzLUTValues;

/*!
* \struct       _WlzPointValues
* \ingroup      WlzType
* \brief        Point values - values with arbitrary rank and dimension
*               defined at points.
*               Typedef: ::WlzPointValues
*/
typedef struct _WlzPointValues
{
  WlzObjectType type;                   /*!< WLZ_POINT_VALUES. */
  int           linkcount;              /*!< From WlzCoreValues. */
  void          *freeptr;               /*!< From WlzCoreValues. */
  int           rank;                   /*!< The rank of the individual values.
                                             Here the rank for a scalar is 0,
                                             for a 1D array it is 1 and for
                                             and for individual values that
                                             are nD arrays the rank is n. */
  int           *dim;                   /*!< The dimensions of individual
                                             indexed values. The dimensions
                                             are a 1D array with the number
                                             of entries equal to the rank.
                                             A dimension array is only
                                             allocated if the rank > 0,
                                             for rank == 0 dim is NULL. */
  int           pSz;                    /*!< Size of each point this is
                                             the product of the dimensions
                                             times the value type size and
                                             is frequently used for accessing
                                             the values. */
  WlzGreyType   vType;                  /*!< The type of the data in the
                                             individual values. */
  size_t        maxPoints;              /*!< Number of points allocated. */
  WlzGreyP      values;                 /*!< The indexed values. */
} WlzPointValues;

/************************************************************************
* Point domains.                                                
************************************************************************/
/*!
* \struct       _WlzPoints
* \ingroup      WlzFeatures
* \brief        An array of either 2D or 3D points which may have
*               either integral of floating point values. Possible
*               types are: WLZ_POINTS_2I, WLZ_POINTS_2D, WLZ_POINTS_3I
*               and WLZ_POINTS_3D.
*               Typedef: ::WlzPoints
*/
typedef struct _WlzPoints
{
  WlzObjectType type;                   /*!< From WlzCoreDomain. */
  int           linkcount;              /*!< From WlzCoreDomain. */
  void          *freeptr;               /*!< From WlzCoreDomain. */
  int           nPoints;                /*!< Number of points. */
  int           maxPoints;              /*!< The maximum number of points
                                             for which space has been
                                             allocated. */
  WlzVertexP    points;                 /*!< Array of point vertices. */
} WlzPoints;


/************************************************************************
* Spline domains.
************************************************************************/
/*!
* \def          WLZ_BSPLINE_ORDER_MIN
* \ingroup      WlzType
* \brief        The minimum order of the B-spline in a WlzBSpline domain.
*/
#define WLZ_BSPLINE_ORDER_MIN   (1)

/*!
* \def          WLZ_BSPLINE_ORDER_MAX
* \ingroup      WlzType
* \brief        The maximum order of the B-spline in a WlzBSpline domain.
*/
#define WLZ_BSPLINE_ORDER_MAX   (5)

/*!
* \struct       _WlzBSpline
* \ingroup      WlzFeatures
* \brief        Spline based line curves in either 2 or 3D.
*               Possible types are: WLZ_BSPLINE_C2D or WLZ_BSPLINE_C3D.
*               Typedef: ::WlzBSpline
*/
typedef struct _WlzBSpline
{
  WlzObjectType type;                   /*!< From WlzCoreDomain. */
  int           linkcount;              /*!< From WlzCoreDomain. */
  void          *freeptr;               /*!< From WlzCoreDomain. */
  int           order;                  /*!< Order of the B-spline. */
  int           nKnots;                 /*!< Number of knots (also number
                                             of coefficients per dimension). */
  int           maxKnots;               /*!< Knots space allocated. */
  double        *knots;                 /*!< Array of knots (parametric). */
  double        *coefficients;          /*!< Array of B-spline coefficients. */
} WlzBSpline;

/************************************************************************
* Polygon domains.                                              
************************************************************************/
/*!
* \struct       _WlzPolygonDomain
* \ingroup      WlzPolyline
* \brief        A 2D polyline domain with possible types: WLZ_POLYGON_INT, 
*               WLZ_POLYGON_FLOAT  or WLZ_POLYGON_DOUBLE. 
*               Typedef: ::WlzPolygonDomain.
*/
typedef struct _WlzPolygonDomain
{
  WlzObjectType type;                   /*!< From WlzCoreDomain. */
  int linkcount;                        /*!< From WlzCoreDomain. */
  void *freeptr;                        /*!< From WlzCoreDomain. */
  int nvertices;                        /*!< Number of vertices. */
  int maxvertices;                      /*!< The maximum number of vertices
                                             for which space has been
                                             allocated. */
  WlzIVertex2 *vtx;                     /*!< Array of vertices.
                                             This may need casting according
                                             to the type field. */
} WlzPolygonDomain;

/*!
* \struct       _WlzPolygonDomain3
* \ingroup      WlzPolyline
* \brief        A 2D polyline domain with possible types:WLZ_POLYGON_INT, 
*               WLZ_POLYGON_FLOAT  or WLZ_POLYGON_DOUBLE. 
*               Typedef: ::WlzPolygonDomain.
*/
typedef struct _WlzPolygonDomain3
{
  WlzObjectType type;                   /*!< From WlzCoreDomain. */
  int   linkcount;                      /*!< From WlzCoreDomain. */
  void *freeptr;                        /*!< From WlzCoreDomain. */
  int nvertices;                        /*!< Number of vertices. */
  int maxvertices;                      /*!< The maximum number of vertices
                                             for which space has been
                                             allocated. */
  WlzIVertex2 *vtx;                     /*!< Array of vertices.
                                             This may need casting according
                                             to the type field. */
} WlzPolygonDomain3;

/************************************************************************
* Boundary list.                                                
************************************************************************/
/*!
* \struct       _WlzBoundList
* \ingroup      WlzBoundary
* \brief        A complete list of a set of boundaries which is encoded
*               in tree form.
*/
typedef struct _WlzBoundList
{
  WlzObjectType type;                   /*!< From WlzCoreDomain. */
  int linkcount;                        /*!< From WlzCoreDomain. */
  void *freeptr;                        /*!< From WlzCoreDomain. */
  struct _WlzBoundList *up;             /*!< The containing hole or piece,
                                             NULL if the universal hole
                                             (very top). */
  struct _WlzBoundList *next;           /*!< Next hole or piece at same level
                                             and lying within same piece or
                                             hole, NULL if no more at this
                                             level. */
  struct _WlzBoundList *down;           /*!< First enclosed structure, NULL if
                                             none. */
  int wrap;                             /*!< Wrap number: The number of points
                                             of boundary included both at
                                             start and end of polygon
                                             representation. */
  WlzPolygonDomain *poly;              /*!< The polygon representation of
                                            this boundary. */
} WlzBoundList;

/*!
* \struct       _WlzConvHullDomain2
* \ingroup      WlzConvexHull
* \brief        A 2D convex hull with counter clockwise ordered vertices
*               and segments implicitly defined by the polygon of the
*               ordered vertices.
*               Typedef: ::WlzConvHullDomain3
*/
typedef struct _WlzConvHullDomain2
{
  WlzObjectType         type;           /*!< From WlzCoreDomain
                                             (WLZ_CONVHULL_DOMAIN_2D). */
  int                   linkcount;      /*!< From WlzCoreDomain. */
  void                  *freeptr;       /*!< From WlzCoreDomain. */
  int                   nVertices;      /*!< Number of vertices. */
  int                   maxVertices;    /*!< The maximum number of vertices
                                             for which space has been
                                             allocated. */
  WlzVertexType         vtxType;        /*!< Vertex type, either WLZ_VERTEX_I2
                                             or WLZ_VERTEX_D2. */
  WlzVertex             centroid;       /*!< Centroid of the convex hull. */
  WlzVertexP            vertices;       /*!< Array of vertices. */
} WlzConvHullDomain2;

/*!
* \struct       _WlzConvHullDomain3
* \ingroup      WlzConvexHull
* \brief        A 3D convex hull with coordinate vertices and faces defined
*               by vertex index triples.
*               Typedef: ::WlzConvHullDomain3
*/
typedef struct _WlzConvHullDomain3
{
  WlzObjectType         type;           /*!< From WlzCoreDomain
                                             (WLZ_CONVHULL_DOMAIN_3D). */
  int                   linkcount;      /*!< From WlzCoreDomain. */
  void                  *freeptr;       /*!< From WlzCoreDomain. */
  int                   nVertices;      /*!< Number of vertices. */
  int                   maxVertices;    /*!< The maximum number of vertices
                                             for which space has been
                                             allocated. */
  int                   nFaces;         /*!< Number of faces. */
  int                   maxFaces;       /*!< The maximum number of faces
                                             for which space has been
                                             allocated. */
  WlzVertexType         vtxType;        /*!< Vertex type, either WLZ_VERTEX_I3
                                             or WLZ_VERTEX_D3. */
  WlzVertex             centroid;       /*!< Centroid of the convex hull. */
  WlzVertexP            vertices;       /*!< Array of vertices. */
  int                   *faces;         /*!< Array of face vertex indices,
                                             3 vertex indices per face. */
} WlzConvHullDomain3;

/************************************************************************
* Histograms.                                           
***********************************************************************/
/*!
* \struct       _WlzHistogramDomain
* \ingroup      WlzHistogram
* \brief        Histograms are Woolz domains and not values as might be
*               expected.
*               Typedef: ::WlzHistogramDomain.
*/
typedef struct _WlzHistogramDomain
{
  WlzObjectType type;                   /*!< From WlzCoreDomain. */
  int           linkcount;              /*!< From WlzCoreDomain. */
  void          *freeptr;               /*!< From WlzCoreDomain. */
  int           maxBins;                /*!< Number of histogram bins
                                             allocated. */
  int           nBins;                  /*!< Number of histogram bins used. */
  double        origin;                 /*!< Lowest grey value of first
                                             histogram bin. */
  double        binSize;                /*!< Grey value range for a histogram
                                            bin. */
  WlzGreyP      binValues;              /*!< Histogram values:
                                             Int for WLZ_HISTOGRAMDOMAIN_INT or
                                             Double for
                                             WLZ_HISTOGRAMDOMAIN_FLOAT. */
} WlzHistogramDomain;

/*!
* \enum         _WlzHistFeature
* \ingroup      WlzHistogram
* \brief        Features of histograms.
*               Typedef: ::WlzHistFeature.
*/
typedef enum _WlzHistFeature
{
  WLZ_HIST_FEATURE_NONE     = (0),      /*!< No feature. */
  WLZ_HIST_FEATURE_PEAK     = (1<<0),   /*!< Histogram peak. */
  WLZ_HIST_FEATURE_TROUGH   = (1<<1)    /*!< Histogram trough. */
} WlzHistFeature;

/************************************************************************
* Rectangle domains.                                            
************************************************************************/
/*!
* \struct       _WlzRect
* \ingroup      WlzFeatures
* \brief        An integer rectangle domain.
*               Side from (l[0],k[0]) to (l[1],k[1]) is a long side.
*               The vertices are cyclic.
*               Typedef: ::WlzIRect.
*/
typedef struct  _WlzRect
{
  WlzObjectType type;                   /*!< From WlzCoreDomain. */
  int linkcount;                        /*!< From WlzCoreDomain. */
  void *freeptr;                        /*!< From WlzCoreDomain. */
  int irk[4];                           /*!< Column vertex coordinates. */
  int irl[4];                           /*!< Line vertex coordinates. */
  float rangle;                         /*!< Angle of long side to
                                             vertical (radians). */
} WlzIRect;

/*!
* \struct       _WlzFRect
* \ingroup      WlzFeatures
* \brief        A single precision floating point rectangle domain.
*               Side from (l[0],k[0]) to (l[1],k[1]) is a long side.
*               The vertices are cyclic.
*               Typedef: ::WlzFRect.
*/
typedef struct _WlzFRect
{
  WlzObjectType type;                   /*!< From WlzCoreDomain. */
  int linkcount;                        /*!< From WlzCoreDomain. */
  void *freeptr;                        /*!< From WlzCoreDomain. */
  float frk[4];                         /*!< Column vertex coordinates. */
  float frl[4];                         /*!< Line vertex coordinates. */
  float rangle;                         /*!< Angle of long side to vertical
                                             (radians). */
} WlzFRect;

/************************************************************************
* Convolution and other value filters.
************************************************************************/
/*!
* \struct       _WlzConvolution
* \ingroup      WlzValuesFilters
* \brief        A 2D space domain convolution mask.
*               To reduce computational cost at the expense of data storage
*               the complete convolution is used even if highly symmetrical.
*               Typedef: ::WlzConvolution.
*/
typedef struct  _WlzConvolution
{
  WlzObjectType type;                   /*!< Identifies a convolution mask. */
  int linkcount;                        /*!< Reference count. */
  int xsize, ysize;                     /*!< Size of mask which must be odd. */
  int *cv;                              /*!< The convolution mask with
                                             size\f$\times\f$size elements. */
  int divscale;                         /*!< Scale factor by which the
                                             convolution  is divided. */
  int offset;                           /*!< Offset which is added to the
                                             scaled convolution. */
  int modflag;                          /*!< If non-zero the absolute value
                                             of the scaled, offset convolution
                                             is used. */
} WlzConvolution;

/*!
* \enum         _WlzRsvFilterActionMask
* \ingroup      WlzValuesFilters
* \brief        The action to be performed by a recursive filter.
*               These values are bit masks which may be combined.
*               Typedef: ::WlzRsvFilterActionMask.
*/
typedef enum _WlzRsvFilterActionMask
{
  WLZ_RSVFILTER_ACTION_NONE     = (0),  /*!< No filtering. */
  WLZ_RSVFILTER_ACTION_X        = (1<<0), /*!< Filter along lines. */
  WLZ_RSVFILTER_ACTION_Y        = (1<<1), /*!< Filter through columns. */
  WLZ_RSVFILTER_ACTION_Z        = (1<<2)  /*!< Filter through planes. */
} WlzRsvFilterActionMask;

/*!
* \enum         _WlzRsvFilterName
* \ingroup      WlzValuesFilters
* \brief        Recursive filter types that can be used to define a recursive
*               filter along with a filter parameter (eg sigma for Gaussian).
*               Typedef: ::WlzRsvFilterName.
*/
typedef enum _WlzRsvFilterName
{
  WLZ_RSVFILTER_NAME_NONE,              /*!< No name, application defined
                                             filter. */
  WLZ_RSVFILTER_NAME_DERICHE_0,         /*!< Deriche's smoothing operator. */
  WLZ_RSVFILTER_NAME_DERICHE_1,         /*!< Deriche's edge operator. */
  WLZ_RSVFILTER_NAME_DERICHE_2,         /*!< Deriche's 2nd edge operator. */
  WLZ_RSVFILTER_NAME_GAUSS_0,           /*!< Gaussian. */
  WLZ_RSVFILTER_NAME_GAUSS_1,           /*!< First derivative of Gaussian. */
  WLZ_RSVFILTER_NAME_GAUSS_2            /*!< Second derivative of Gaussian. */
} WlzRsvFilterName;

/*!
* \struct       _WlzRsvFilter
* \ingroup      WlzValuesFilters
* \brief        The parameters
*               \f$a_j\f$, \f$b_j\f$ and \f$c\f$ with \f$j\in[0\cdots2]\f$
*               which define a recursive filter:
*               \f[
                  y^{+}[i] = a_0 x[i + 0] + a_1 x[i - 1] -
                             b_0 y^{+}[i - 1] - b_1 y^{+}[i - 2]
                \f]
*               \f[
                  y^{-}[i] = a_2 x[i + 1] + a_3 x[i + 2] -
                             b_0 y^{-}[i + 1] - b_1 y^{-}[i + 2]
                \f]
*               \f[
                  y[i] = c (y^{+}[i] + y^{-}[i])
                \f]
*               Typedef: ::WlzRsvFilter.
*/ 
typedef struct _WlzRsvFilter
{
  WlzRsvFilterName      name;           /*!< The filter name. */
  double                a[4];           /*!< Feed forward coefficients. */
  double                b[2];           /*!< Feed back coefficients. */
  double                c;              /*!< Normalization parameter. */
} WlzRsvFilter;
 
/************************************************************************
* Conforming mesh data structures.
************************************************************************/

/*!
* \enum         _WlzCMeshElmFlags
* \ingroup      WlzMesh
* \brief        Conforming mesh element flags. These are bit masks which are
*               used in a conforming mesh's elements flags.
*               Typedef: ::WlzCMeshElmFlags.
*/
typedef enum _WlzCMeshElmFlags
{
  WLZ_CMESH_ELM_FLAG_NONE       = (0),
  WLZ_CMESH_ELM_FLAG_BOUNDARY   = (1),  /*!< Element intersects the boundary
                                             of the domain to which it
                                             should conform. */
  WLZ_CMESH_ELM_FLAG_OUTSIDE    = (1<<1), /*!< Element is outside the domain to
                                             which the mesh should
                                             conform. */
  WLZ_CMESH_ELM_FLAG_KNOWN      = (1<<2), /*!< A property of the element is
                                             known. */
  WLZ_CMESH_ELM_FLAG_ALL        = (65535) /*!< All possible flags, 0xffff
                                               decimal representation required
                                               for JavaWoolz. */
} WlzCMeshElmFlags;

/*!
* \enum         _WlzCMeshNodFlags
* \ingroup      WlzMesh
* \brief        Conforming mesh node flags. These are bit masks which are
*               used in a conforming mesh's node flags.
*               Typedef: ::WlzCMeshNodFlags.
*/
typedef enum _WlzCMeshNodFlags
{
  WLZ_CMESH_NOD_FLAG_NONE       = (0),
  WLZ_CMESH_NOD_FLAG_ADJUSTED   = (1),     /*!< Node position adjusted. */
  WLZ_CMESH_NOD_FLAG_BOUNDARY   = (1<<1),  /*!< Node is on a boundary of the
                                                mesh. */
  WLZ_CMESH_NOD_FLAG_UPWIND     = (1<<2),   /*!< Node is upwind of the active
                                                region having already been
                                                processed. */
  WLZ_CMESH_NOD_FLAG_ACTIVE     = (1<<3),  /*!< Node is in the active region
                                                and is being processed. */
  WLZ_CMESH_NOD_FLAG_KNOWN      = (1<<4),  /*!< Property associated with
                                                node is known. */
  WLZ_CMESH_NOD_FLAG_OUTSIDE    = (1<<5),  /*!< Node is outside the domain to
                                                which the mesh should
                                                conform. */
  WLZ_CMESH_NOD_FLAG_ALL        = (65535) /*!< All possible flags, 0xffff
                                               decimal representation required
                                               for JavaWoolz. */
} WlzCMeshNodFlags;

/*!
* \struct       _WlzCMeshEntCore
* \ingroup      WlzMesh
* \brief        A core node/element structure containing the initial fields
*               common to all node and element structures.
*               Typedef: ::WlzCMeshEntCore
*/
typedef struct  _WlzCMeshEntCore
{
  int           idx;                    /*!< The node/element index. */
  unsigned int  flags;                  /*!< Bitwise description of the
                                             node/element. */
} WlzCMeshEntCore;

/*!
* \struct       _WlzCMeshNod2D
* \ingroup      WlzMesh
* \brief        A node of a 2D mesh.
*               Typedef: ::WlzCMeshNod2D.
*/
typedef struct _WlzCMeshNod2D
{
  int           idx;                    /*!< The node index from 
                                             WlzCMeshEntCore. */
  unsigned int  flags;                  /*!< Bitwise description of node
                                             from WlzCMeshEntCore. */
  WlzDVertex2   pos;                    /*!< Node position. */
  struct _WlzCMeshEdgU2D *edu;          /*!< One of many edge uses which is
                                             directed from the node. A
                                             node is shared by many parents. */
  struct _WlzCMeshNod2D *next;          /*!< Next node in bucket. */
  void          *prop;                  /*!< Node properties. */
} WlzCMeshNod2D;

/*!
* \struct       _WlzCMeshNod2D5
* \ingroup      WlzMesh
* \brief        A node of a 2D5 mesh with a 3D position but 2D connectivity.
*               Typedef: ::WlzCMeshNod2D5.
*/
typedef struct _WlzCMeshNod2D5
{
  int           idx;                    /*!< The node index from
                                             WlzCMeshEntCore. */
  unsigned int  flags;                  /*!< Bitwise description of node
                                             from WlzCMeshEntCore. */
  WlzDVertex3   pos;                    /*!< Node position. */
  struct _WlzCMeshEdgU2D5 *edu;         /*!< One of many edge uses which is
                                             directed from the node. A
                                             node is shared by many parents. */
  struct _WlzCMeshNod2D5 *next;         /*!< Next node in bucket. */
  void          *prop;                  /*!< Node properties. */
} WlzCMeshNod2D5;

/*!
* \struct       _WlzCMeshNod3D
* \ingroup      WlzMesh
* \brief        A node of a 3D mesh.
*               Typedef: ::WlzCMeshNod3D.
*/
typedef struct _WlzCMeshNod3D
{
  int           idx;                    /*!< The node index from
                                             WlzCMeshEntCore. */
  unsigned int  flags;                  /*!< Bitwise description of node
                                             from WlzCMeshEntCore. */
  WlzDVertex3   pos;                    /*!< Node position. */
  struct _WlzCMeshEdgU3D *edu;          /*!< One of many edge uses which is
                                             directed from the node. A
                                             node is shared by many parents. */
  struct _WlzCMeshNod3D *next;          /*!< Next node in bucket. */
  void          *prop;                  /*!< Node properties. */
} WlzCMeshNod3D;

/*!
* \union       _WlzCMeshNodP
* \ingroup      WlzMesh
* \brief        A node pointer for a 2 or 3D mesh.
*               Typedef: ::WlzCMeshNodP.
*/
typedef union _WlzCMeshNodP
{
  void                    *v;           /*!< Generic pointer. */
  struct _WlzCMeshEntCore *core;        /*!< Core pointer. */
  struct _WlzCMeshNod2D   *n2;          /*!< 2D node pointer. */
  struct _WlzCMeshNod2D5  *n2d5;        /*!< 2D5 node pointer. */
  struct _WlzCMeshNod3D   *n3;          /*!< 3D node pointer. */
} WlzCMeshNodP;

/*!
* \struct       _WlzCMeshEdgU2D
* \ingroup      WlzMesh
* \brief        A 2D CCW directed (half) edge within the parent simplex.
*               Typedef: ::WlzCMeshEdgU2D.
*/
typedef struct _WlzCMeshEdgU2D
{
  struct _WlzCMeshNod2D *nod;           /*!< Node from which this edge is
                                             directed. */
  struct _WlzCMeshEdgU2D *next;         /*!< Next directed edge, previous
                                             can be found using next->next. */
  struct _WlzCMeshEdgU2D *opp;          /*!< Opposite directed edge. */
  struct _WlzCMeshEdgU2D *nnxt;         /*!< Next edge directed from the
                                             same node (un-ordered). */
  struct _WlzCMeshElm2D *elm;           /*!< Parent element. */
} WlzCMeshEdgU2D;

/*!
* \struct       _WlzCMeshEdgU2D5
* \ingroup      WlzMesh
* \brief        A 2D CCW directed (half) edge within the parent simplex.
*               Typedef: ::WlzCMeshEdgU2D5.
*/
typedef struct _WlzCMeshEdgU2D5
{
  struct _WlzCMeshNod2D5 *nod;           /*!< Node from which this edge is
                                              directed. */
  struct _WlzCMeshEdgU2D5 *next;         /*!< Next directed edge, previous
                                             can be found using next->next. */
  struct _WlzCMeshEdgU2D5 *opp;          /*!< Opposite directed edge. */
  struct _WlzCMeshEdgU2D5 *nnxt;         /*!< Next edge directed from the
                                             same node (un-ordered). */
  struct _WlzCMeshElm2D5 *elm;           /*!< Parent element. */
} WlzCMeshEdgU2D5;

/*!
* \struct       _WlzCMeshEdgU3D
* \ingroup      WlzMesh
* \brief        A 3D directed (half) edge within the parent face.
*               Typedef: ::WlzCMeshEdgU3D.
*/
typedef struct _WlzCMeshEdgU3D
{
  struct _WlzCMeshNod3D *nod;           /*!< Node from which this edge is
                                             directed. */
  struct _WlzCMeshEdgU3D *next;         /*!< Next directed edge, previous
                                             can be found using next->next. */
  struct _WlzCMeshEdgU3D *nnxt;         /*!< Next edge directed from the
                                             same node (un-ordered). */
  struct _WlzCMeshFace *face;           /*!< Parent face. */
} WlzCMeshEdgU3D;

/*!
* \union       _WlzCMeshEdgUP
* \ingroup      WlzMesh
* \brief        An edge use pointer for a 2 or 3D mesh.
*               Typedef: ::WlzCMeshEdgUP.
*/
typedef union _WlzCMeshEdgUP
{
  void                    *v;           /*!< Generic pointer. */
  struct _WlzCMeshEdgU2D  *e2;          /*!< 2D node pointer. */
  struct _WlzCMeshEdgU2D5 *e2d5;        /*!< 2D5 node pointer. */
  struct _WlzCMeshEdgU3D  *e3;          /*!< 3D node pointer. */
} WlzCMeshEdgUP;

/*!
* \struct       _WlzCMeshFace
* \ingroup      WlzMesh
* \brief        A directed face within the parent simplex.
*               Typedef: ::WlzCMeshFace.
*/
typedef struct _WlzCMeshFace
{
  struct _WlzCMeshEdgU3D edu[3];        /*!< Directed edges of the face. */
  struct _WlzCMeshFace *opp;            /*!< Opposite face on neighboring
                                             mesh element. */
  struct _WlzCMeshElm3D *elm;           /*!< Parent mesh element. */
} WlzCMeshFace;

/*!
* \struct       _WlzCMeshElm2D
* \ingroup      WlzMesh
* \brief        A single 2D triangular mesh element.
*               Typedef: ::WlzCMeshElm2D.
*/
typedef struct _WlzCMeshElm2D
{
  int           idx;                    /*!< The element index from
                                             WlzCMeshEntCore. */
  unsigned int  flags;                  /*!< Element flags from
                                             WlzCMeshEntCore. */
  struct _WlzCMeshEdgU2D edu[3];        /*!< Edges of the mesh element. */
  struct _WlzCMeshCellElm2D *cElm;      /*!< First cell element from which
                                             all other cell elements can be
                                             reached using the next pointer. */
  void          *prop;                  /*!< Element properties. */
} WlzCMeshElm2D;

/*!
* \struct       _WlzCMeshElm2D5
* \ingroup      WlzMesh
* \brief        A single 3D triangular mesh element.
*               Typedef: ::WlzCMeshElm2D5.
*/
typedef struct _WlzCMeshElm2D5
{
  int           idx;                     /*!< The element index from
                                              WlzCMeshEntCore. */
  unsigned int  flags;                   /*!< Element flags from
                                              WlzCMeshEntCore. */
  struct _WlzCMeshEdgU2D5 edu[3];        /*!< Edges of the mesh element. */
  struct _WlzCMeshCellElm2D5 *cElm;      /*!< First cell element from which
                                              all other cell elements can be
                                              reached using the next
                                              pointer. */
  void          *prop;                   /*!< Element properties. */
} WlzCMeshElm2D5;

/*!
* \struct       _WlzCMeshElm3D
* \ingroup      WlzMesh
* \brief        A single 3D tetrahedral mesh element.
*               Typedef: ::WlzCMeshElm3D.
*               
*               The following diagram depicts a mesh element, viewed from
*               above with the apex (node n0) pointing towards the viewer.
*               From this view, face f3 is at the rear of the tetrahedron.
* \verbatim
                                        O n1                         
                                       /|\                   
                                      / | \                  
                                     /  |  \                 
                                    /   |   \                
                                   /    |    \    f3          
                                  /     |     \  /           
                                 /      |      \/            
                                /       |      .\            
                               /        |     .  \            
                              /         |    .    \                  
                             /          |   .      \                 
                            /           O           \                
                           /      f1   / \    f0     \               
                          /          /  n0 \          \              
                         /         /         \         \             
                        /        /             \        \            
                       /       /                 \       \            
                      /      /                     \      \            
                     /     /                         \     \            
                    /    /              f2             \    \            
                   /   /                                 \   \            
                  /  /                                     \  \           
                 / /                                         \ \           
             n3 O-----------------------------------------------O n2        
\endverbatim
*               The relationship between nodes and faces depicted in
*               this diagrap is used in constructing new mesh elements.
*
*               The tetrahedron can be opened a net and viewed looking
*               at the directed edges uses associated with the faces from
*               *outside* the element surface as shown below:
* \verbatim
                                    n1                                
   n0 O-----------------------------O-----------------------------0 n0  
       \    ---------------------> / \    -------------------->  /    
        \ %         e0            / % \ %         e1            /     
         \ \                   / / /   \ \                  /  /      
          \ \                 / / /   \ \ \                /  /       
           \ \               / / /     \ \ \              /  /        
            \ \     f0      / / /       \ \ \     f1     /  /        
             \ \ e2     e1 / / /         \ \ \ e1    e0 /  /         
              \ \         / / /           \ \ \        /  /           
               \ \       / / /     f3      \ \ \      /  /             
                \ \     / / /  e0       e1  \ \ \    /  /               
                 \ \   / / /                 \ \    /  /                 
                  \   / / /                   \ \  %  /                   
                   \ % /           e2          % \   /                    
                    \ /  <--------------------    \ /                       
                     O-----------------------------O                         
                   n2 \ %  -------------------->  / n3                
                       \ \         e1            /                    
                        \ \                   / /                     
                         \ \                 / /                      
                          \ \               / /                       
                           \ \     f2      / /                        
                            \ \           / /                         
                             \ \ e0   e2 / /                          
                              \ \       / /                           
                               \ \     / /                            
                                \ \   / /                            
                                 \   / /                              
                                  \ % /                               
                                   \ /                                
                                    O                                 
                                   n0                                 
\endverbatim
*               Each mesh element has four faces and each face has three
*               directed edges, with the edges directed counter clockwise
*               (when viewed from outside the mesh element) away from their
*               nodes.
*
*               <table>
*                 <caption>
*                 Indexing of faces, edge uses and nodes in 3D elements.
*                 </caption>
*                 <tr><td>Face</td> <td>Edge Use</td> <td>Node</td></tr>
*                 <tr><td>0</td>    <td>0</td>        <td>0</td></tr>
*                 <tr><td>0</td>    <td>1</td>        <td>1</td></tr>
*                 <tr><td>0</td>    <td>2</td>        <td>2</td></tr>
*                 <tr><td>1</td>    <td>0</td>        <td>0</td></tr>
*                 <tr><td>1</td>    <td>1</td>        <td>3</td></tr>
*                 <tr><td>1</td>    <td>2</td>        <td>1</td></tr>
*                 <tr><td>2</td>    <td>0</td>        <td>0</td></tr>
*                 <tr><td>2</td>    <td>1</td>        <td>2</td></tr>
*                 <tr><td>2</td>    <td>2</td>        <td>3</td></tr>
*                 <tr><td>3</td>    <td>0</td>        <td>1</td></tr>
*                 <tr><td>3</td>    <td>1</td>        <td>1</td></tr>
*                 <tr><td>3</td>    <td>2</td>        <td>3</td></tr>
*               </table>

*               The face opposite a node, or node opposite a face
*               can easily be found using: \f$f + n = 3\f$, where
*               \f$f\f$ is the face and \f$n\f$ is the node.
*
*/
typedef struct _WlzCMeshElm3D
{
  int           idx;                    /*!< The element index from
                                             WlzCMeshEntCore. */
  unsigned int  flags;                  /*!< Element flags from
                                             WlzCMeshEntCore. */
  struct _WlzCMeshFace face[4];         /*!< Faces of the mesh element. */
  struct _WlzCMeshCellElm3D *cElm;      /*!< First cell element from which
                                             all other cell elements can be
                                             reached using the next pointer. */
  void          *prop;                  /*!< Element properties. */
} WlzCMeshElm3D;

/*!
* \union       _WlzCMeshElmP
* \ingroup      WlzMesh
* \brief        A element pointer for a 2 or 3D mesh.
*               Typedef: ::WlzCMeshElmP.
*/
typedef union _WlzCMeshElmP
{
  void                    *v;           /*!< Generic pointer. */
  struct _WlzCMeshEntCore *core;        /*!< Core pointer. */
  struct _WlzCMeshElm2D   *e2;          /*!< 2D element pointer. */
  struct _WlzCMeshElm2D5  *e2d5;        /*!< 2D5 element pointer. */
  struct _WlzCMeshElm3D   *e3;          /*!< 3D element pointer. */
} WlzCMeshElmP;

/*!
* \struct       _WlzCMeshCellElm2D
* \ingroup      WlzMesh
* \brief        Data structure which is used to link lists of 2D elements
*               with the grid cells that they intersect.
*               Typedef: ::WlzCMeshCell2D.
*/
typedef struct _WlzCMeshCellElm2D
{
  struct _WlzCMeshElm2D *elm;           /*! The element. */
  struct _WlzCMeshCell2D *cell;         /*! The cell. */
  struct _WlzCMeshCellElm2D *next;      /*! Next element intersecting cell or
                                            next cell element in the free
                                            list. */
  struct _WlzCMeshCellElm2D *nextCell;  /*! Next cell which this element
                                            intersects. */
} WlzCMeshCellElm2D;

/*!
* \struct       _WlzCMeshCellElm2D5
* \ingroup      WlzMesh
* \brief        Data structure which is used to link lists of 2D5 elements
*               with the grid cells that they intersect.
*               Typedef: ::WlzCMeshCell2D5.
*/
typedef struct _WlzCMeshCellElm2D5
{
  struct _WlzCMeshElm2D5 *elm;          /*! The element. */
  struct _WlzCMeshCell2D5 *cell;        /*! The cell. */
  struct _WlzCMeshCellElm2D5 *next;     /*! Next element intersecting cell or
                                            next cell element in the free
                                            list. */
  struct _WlzCMeshCellElm2D5 *nextCell; /*! Next cell which this element
                                            intersects. */
} WlzCMeshCellElm2D5;

/*!
* \struct       _WlzCMeshCellElm3D
* \ingroup      WlzMesh
* \brief        Data structure which is used to link lists of 3D elements
*               with the grid cells that they intersect.
*               Typedef: ::WlzCMeshCell3D.
*/
typedef struct _WlzCMeshCellElm3D
{
  struct _WlzCMeshElm3D *elm;           /*! The element. */
  struct _WlzCMeshCell3D *cell;         /*! The cell. */
  struct _WlzCMeshCellElm3D *next;      /*! Next element intersecting cell or
                                            next cell element in the free
                                            list. */
  struct _WlzCMeshCellElm3D *nextCell;  /*! Next cell which this element
                                            intersects. */
} WlzCMeshCellElm3D;

/*!
* \struct       _WlzCMeshCell2D
* \ingroup      WlzMesh
* \brief        A single cell of a spatial grid or array of 2D cells.
*               Typedef: ::WlzCMeshCell2D.
*/
typedef struct _WlzCMeshCell2D
{
  struct _WlzCMeshNod2D *nod;           /*! Head of a linked list of nodes
                                            which are located within the
                                            cell. */
  struct _WlzCMeshCellElm2D *cElm;      /*! Cell element data structure for
                                            an element which intersects this
                                            cell. */
} WlzCMeshCell2D;

/*!
* \struct       _WlzCMeshCell2D5
* \ingroup      WlzMesh
* \brief        A single cell of a spatial grid or array of 2D5 cells.
*               Typedef: ::WlzCMeshCell2D5.
*/
typedef struct _WlzCMeshCell2D5
{
  struct _WlzCMeshNod2D5 *nod;          /*! Head of a linked list of nodes
                                            which are located within the
                                            cell. */
  struct _WlzCMeshCellElm2D5 *cElm;     /*! Cell element data structure for
                                            an element which intersects this
                                            cell. */
} WlzCMeshCell2D5;

/*!
* \struct       _WlzCMeshCell3D
* \ingroup      WlzMesh
* \brief        A single cell of a spatial grid or array of 3D cells.
*               Typedef: ::WlzCMeshCell3D.
*/
typedef struct _WlzCMeshCell3D
{
  struct _WlzCMeshNod3D *nod;           /*! Head of a linked list of nodes
                                            which are located within the
                                            cell. */
  struct _WlzCMeshCellElm3D *cElm;      /*! Cell element data structure for
                                            an element which intersects this
                                            cell. */
} WlzCMeshCell3D;

/*!
* \struct       _WlzCMeshCellGrid2D
* \ingroup      WlzMesh
* \brief        A spatial grid or array of square 2D cells that are used for
*               fast node and element location queries.
*               Typedef: ::WlzCMeshCellGrid2D.
*/
typedef struct _WlzCMeshCellGrid2D
{
  WlzIVertex2   nCells;                 /*! Dimensions of the cell grid
                                            array in terms of the number of
                                            cells. */
  double        cellSz;                 /*! Each cell is an axis aligned
                                            square with this side length. */
  struct _WlzCMeshCell2D **cells;       /*! Array of cells. */
  WlzCMeshCellElm2D *freeCE;            /*! List of free cell elements for
                                            re/use. */
  AlcBlockStack *allCE;                 /*! Allocated cell elements. */
} WlzCMeshCellGrid2D;

/*!
* \struct       _WlzCMeshCellGrid2D5
* \ingroup      WlzMesh
* \brief        A spatial grid or array of cubiod 3D cells that are used for
*               fast 2D5 node and element location queries.
*               Typedef: ::WlzCMeshCellGrid2D5.
*/
typedef struct _WlzCMeshCellGrid2D5
{
  WlzIVertex3   nCells;                 /*! Dimensions of the cell grid
                                            array in terms of the number of
                                            cells. */
  double        cellSz;                 /*! Each cell is an axis aligned
                                            cube with this side length. */
  struct _WlzCMeshCell2D5 ***cells;     /*! Array of cells. */
  WlzCMeshCellElm2D5 *freeCE;           /*! List of free cell elements for
                                            re/use. */
  AlcBlockStack *allCE;                 /*! Allocated cell elements. */
} WlzCMeshCellGrid2D5;

/*!
* \struct       _WlzCMeshCellGrid3D
* \ingroup      WlzMesh
* \brief        A spatial grid or array of square 3D cells that are used for
*               fast node and element location queries.
*               Typedef: ::WlzCMeshCellGrid3D.
*/
typedef struct _WlzCMeshCellGrid3D
{
  WlzIVertex3   nCells;                 /*! Dimensions of the cell grid
                                            array in terms of the number of
                                            cells. */
  double        cellSz;                 /*! Each cell is an axis aligned
                                            cube with this side length. */
  struct _WlzCMeshCell3D ***cells;      /*! Array of cells. */
  WlzCMeshCellElm3D *freeCE;            /*! List of free cell elements for
                                            re/use. */
  AlcBlockStack *allCE;                 /*! Allocated cell elements. */
} WlzCMeshCellGrid3D;

#ifndef WLZ_EXT_BIND
/*!
* \typedef      WlzCMeshCbFn
* \ingroup      WlzMesh
* \brief        A pointer to a function called to make mesh entity
*               properties.
*               Parameters passed are: mesh, entity, data.
*/
typedef WlzErrorNum (*WlzCMeshCbFn)(void *, void *, void *);
#endif

/*!
* \struct       _WlzCMeshCbEntry
* \ingroup      WlzMesh
* \brief        Callback entry for list of callbacks.
*               Typedef: ::WlzCMeshCbEntry.
*/
typedef struct _WlzCMeshCbEntry
{
#ifndef WLZ_EXT_BIND
  WlzCMeshCbFn  fn;
#else
  void          *fn;
#endif
  void          *data;
  struct _WlzCMeshCbEntry *next;
} WlzCMeshCbEntry;

/*!
* \struct       _WlzCMeshEntRes
* \ingroup      WlzMesh
* \brief        Resources used for efficient allocation and recycling of
*               mesh entities.
*               Typedef: ::WlzCMeshEntRes.
*/
typedef struct _WlzCMeshEntRes
{
  unsigned int  numEnt;                 /*!< Number of valid entities in
                                             vector. */
  unsigned int  maxEnt;                 /*!< Space allocated in vector. */
  unsigned int  nextIdx;                /*!< Index of next free mesh entity
                                             in vector. */
  AlcVector     *vec;                   /*!< Vector (extensible array) of
                                             mesh entities. */
  WlzCMeshCbEntry *newEntCb;            /*!< Callbacks for new entities. */
  WlzCMeshCbEntry *delEntCb;            /*!< Callbacks for deleted entities. */
} WlzCMeshEntRes;

/*!
* \struct       _WlzCMeshRes
* \ingroup      WlzMesh
* \brief        Resources used for efficient allocation, recycling and
*               location of mesh elements and nodes.
*               Typedef: ::WlzCMeshRes.
*/
typedef struct _WlzCMeshRes
{
  struct _WlzCMeshEntRes nod;            /*!< Node resources. */
  struct _WlzCMeshEntRes elm;            /*!< Element resources. */
} WlzCMeshRes;

/*!
* \union        _WlzCMeshEntP
* \ingroup      WlzMesh
* \brief        Union of pointers to top level mesh entities.
*               Typedef: ::WlzCMeshEntP
*/
typedef union _WlzCMeshEntP
{
  void                    *v;           /*!< Generic pointer. */
  struct _WlzCMeshEntCore *core;        /*!< Core pointer. */
  struct _WlzCMeshNod2D   *n2;          /*!< 2D node pointer. */
  struct _WlzCMeshNod2D   *n2d5;        /*!< 2D5 node pointer. */
  struct _WlzCMeshNod3D   *n3;          /*!< 3D node pointer. */
  struct _WlzCMeshElm2D   *e2;          /*!< 2D element pointer. */
  struct _WlzCMeshElm2D   *e2d5;        /*!< 2D5 element pointer. */
  struct _WlzCMeshElm3D   *e3;          /*!< 3D element pointer. */
} WlzCMeshEntP;

/*!
* \union        _WlzCMeshEntPP
* \ingroup      WlzMesh
* \brief        Union of second level pointers to top level mesh entities.
*               Typedef: ::WlzCMeshEntP
*/
typedef union _WlzCMeshEntPP
{
  void                    **v;          /*!< Generic pointer. */
  struct _WlzCMeshEntCore **core;       /*!< Core pointer. */
  struct _WlzCMeshNod2D   **n2;         /*!< 2D node pointer. */
  struct _WlzCMeshNod2D   **n2d5;       /*!< 2D5 node pointer. */
  struct _WlzCMeshNod3D   **n3;         /*!< 3D node pointer. */
  struct _WlzCMeshElm2D   **e2;         /*!< 2D element pointer. */
  struct _WlzCMeshElm2D   **e2d5;       /*!< 2D5 element pointer. */
  struct _WlzCMeshElm3D   **e3;         /*!< 3D element pointer. */
} WlzCMeshEntPP;

/*!
* \struct       _WlzCMesh2D
* \ingroup      WlzMesh
* \brief        A graph based mesh model for 2D boundary conforming
*               simplical meshes.
*               The mesh inherits it's core fields from the Woolz core
*               domain.
*               Typedef: ::WlzCMesh2D.
*/
typedef struct _WlzCMesh2D
{
  int           type;                   /*!< Type of mesh. */
  int           linkcount;              /*!< Core. */
  void          *freeptr;               /*!< Core. */
  double        maxSqEdgLen;            /*!< Maximum of squared edge lengths
                                             which can be used to restrict
                                             geometric searches. This may not
                                             be correct if nodes have been
                                             deleted or modified so it should
                                             not be relied upon for any more
                                             than an upper limit. */
  WlzDBox2      bBox;                   /*!< Axis aligned bounding box of
                                             the mesh. */
  WlzCMeshCellGrid2D cGrid;             /*!< Cell grid for fast node and
                                             element location queries. */
  struct _WlzCMeshRes res;              /*!< Mesh resources. */

} WlzCMesh2D;

/*!
* \struct       _WlzCMesh2D5
* \ingroup      WlzMesh
* \brief        A graph based mesh model for 2D5 boundary conforming
*               simplical meshes.
*               The mesh inherits it's core fields from the Woolz core
*               domain.
*               Typedef: ::WlzCMesh2D5.
*/
typedef struct _WlzCMesh2D5
{
  int           type;                   /*!< Type of mesh. */
  int           linkcount;              /*!< Core. */
  void          *freeptr;               /*!< Core. */
  double        maxSqEdgLen;            /*!< Maximum of squared edge lengths
                                             which can be used to restrict
                                             geometric searches. This may not
                                             be correct if nodes have been
                                             deleted or modified so it should
                                             not be relied upon for any more
                                             than an upper limit. */
  WlzDBox3      bBox;                   /*!< Axis aligned bounding box of
                                             the mesh. */
  WlzCMeshCellGrid2D5 cGrid;            /*!< Cell grid for fast node and
                                             element location queries. */
  struct _WlzCMeshRes res;              /*!< Mesh resources. */

} WlzCMesh2D5;

/*!
* \struct       _WlzCMesh3D
* \ingroup      WlzMesh
* \brief        A graph based mesh model for 3D boundary conforming
*               simplical meshes.
*               The mesh inherits it's core fields from the Woolz core
*               domain.
*               Typedef: ::WlzCMesh3D.
*/
typedef struct _WlzCMesh3D
{
  int           type;                   /*!< Type of mesh. */
  int           linkcount;              /*!< Core. */
  void          *freeptr;               /*!< Core. */
  double        maxSqEdgLen;            /*!< Maximum of squared edge lengths
                                             which can be used to restrict
                                             geometric searches. This may not
                                             be correct if nodes have been
                                             deleted or modified so it should
                                             not be relied upon for any more
                                             than an upper limit. */
  WlzDBox3      bBox;                   /*!< Axis aligned bounding box of
                                             the mesh. */
  WlzCMeshCellGrid3D cGrid;             /*!< Cell grid for fast node and
                                             element location queries. */
  struct _WlzCMeshRes res;              /*!< Mesh resources. */

} WlzCMesh3D;

/*!
* \union        _WlzCMeshP
* \ingroup      WlzMesh
* \brief        Union of 2D and 3D conforming simplical mesh pointers.
*/
typedef union _WlzCMeshP
{
  void          *v;
  WlzCoreDomain *core;
  WlzCMesh2D    *m2;
  WlzCMesh2D5   *m2d5;
  WlzCMesh3D    *m3;
} WlzCMeshP;

/************************************************************************
* Functions
************************************************************************/

/*!
* \enum         _WlzFnType
* \ingroup      WlzFunction
* \brief        The types of function.
*               Typedef: ::WlzFnType.
*/
typedef enum _WlzFnType
{
  WLZ_FN_BASIS_2DGAUSS,                 /*!< Gaussian basis function. */
  WLZ_FN_BASIS_3DGAUSS,
  WLZ_FN_BASIS_2DIMQ,                   /*!< Inverse multiquadric basis
                                             function. */
  WLZ_FN_BASIS_3DIMQ,
  WLZ_FN_BASIS_2DPOLY,                   /*!< Polynomial basis function. */
  WLZ_FN_BASIS_3DPOLY,
  WLZ_FN_BASIS_2DMQ,                    /*!< Multiquadric basis function. */
  WLZ_FN_BASIS_3DMQ,
  WLZ_FN_BASIS_2DTPS,                   /*!< Thin plate spline basis fn. */
  WLZ_FN_BASIS_3DTPS,
  WLZ_FN_BASIS_2DCONF_POLY,             /*!< 2D Conformal polynomial basis
                                             function. */
  WLZ_FN_BASIS_3DCONF_POLY,
  WLZ_FN_BASIS_3DMOS,                   /*!< 3D Multi-order spline. */
  WLZ_FN_BASIS_SCALAR_3DMOS,            /*!< 3D Multi-order spline with scalar
                                             values. */
  WLZ_FN_SCALAR_MOD,                    /*!< Modulus (abs() or fabs()). */
  WLZ_FN_SCALAR_EXP,                    /*!< Exponential (exp()). */
  WLZ_FN_SCALAR_LOG,                    /*!< Logarithm (log()). */
  WLZ_FN_SCALAR_SQRT,                   /*!< Square root (x^-1/2). */
  WLZ_FN_SCALAR_INVSQRT,                /*!< Inverse square root (x^-1/2). */
  WLZ_FN_SCALAR_SQR,                    /*!< Square (x * x). */
  WLZ_FN_COUNT                          /*!< Not a function but the number
                                             of functions. Keep this the
                                             last of the enums! */
} WlzFnType;

/*!
* \typedef      WlzBasisEvalFn
* \ingroup      WlzFunction
* \brief        An alternative basis function evaluation function that may
*               may be called.
*/
#ifdef WLZ_EXT_BIND
typedef void *WlzBasisEvalFn;
#else /* WLZ_EXT_BIND */
typedef double (*WlzBasisEvalFn)(void *, double);
#endif /* WLZ_EXT_BIND */

/*!
* \typedef      WlzBasisDistFn
* \ingroup      WlzFunction
* \brief        An alternative basis function distance function that may
*               may be called.
*/
#ifdef WLZ_EXT_BIND
typedef void *WlzBasisDistFn;
#else /* WLZ_EXT_BIND */
typedef double (*WlzBasisDistFn)(void *, int, WlzVertex, void *);
#endif /* WLZ_EXT_BIND */

/*!
* \struct       _WlzBasisFn
* \ingroup      WlzFunction
* \brief        A basis function.
*               Typedef: ::WlzBasisFn.
*/
typedef struct _WlzBasisFn
{
  WlzFnType     type;                   /*!< The transform basis function. */
  int           nPoly;                  /*!< Polynomial order + 1. */
  int           nBasis;                 /*!< Number of basis function
                                             coefficients. */
  int           nVtx;                   /*!< Number of control point
                                             vertices. */
  int           maxVx;                  /*!< Maximum number of vertices space
                                             has been allocated for. */
  WlzVertexP    poly;                   /*!< Polynomial coefficients. */
  WlzVertexP    basis;                  /*!< Basis function coefficients. */
  WlzVertexP    vertices;               /*!< Control point vertices, these are
                                             the destination vertices of the
                                             control points used to define the
                                             basis function transform. */
  WlzVertexP    sVertices;              /*!< Source vertices used to compute
                                             the transform. Not always used
                                             and may be NULL. */
  void          *param;                 /*!< Other parameters used by the
                                             basis function, e.g. delta in
                                             the MQ and Gauss basis
                                             functions. Must be allocated
                                             in a single block to allow
                                             the parameters to be freed
                                             by AlcFree().
                                             For the MQ this is actually
                                             \f$(\delta r)^2\f$, where \f$r\f$
                                             is the range of the landmarks. */
#ifdef WLZ_EXT_BIND
  void          *evalFn;
#else
  WlzBasisEvalFn evalFn;                /*!< An alternative basis function
                                             evaluation function that may
                                             be called if non NULL. */
#endif
  WlzHistogramDomain *evalData;         /*!< Data passed to the alternative
                                             basis function evaluation
                                             function if the function pointer
                                             is non NULL. AlcFree() will be
                                             called to free the data when the
                                             basis function is free'd. */
#ifdef WLZ_EXT_BIND
  void          *distFn;
  void          *mesh;
#else
  WlzBasisDistFn distFn;                /*!< An alternative basis function
                                             distance function that may
                                             be called if non NULL. */
  WlzCMeshP     mesh;                   /*!< Associated mesh. */
#endif
  double        **distMap;              /*!< Array of one dimensional arrays.
                                             There is a one dimensional array
                                             of mesh node distances for each
                                             landmark pair. Where the mesh is
                                             the mesh in the associated
                                             transform. In each one dimensional                                              array the node distances are
                                             indexed bu the node indices.
                                             There is a one dimensional array
                                             for each of the control points.
                                             Essentialy these arrays cache
                                             distances to avoid recomputation.
                                             If a distance array is no longer
                                             valid it should be freed and set
                                             to NULL, it will then be
                                             recomputed as needed.
                                             Athough the number of control
                                             points may vary the number of
                                             mesh nodes must remain constant. */
} WlzBasisFn;

/*!
* \struct       _WlzThreshCbStr
* \ingroup      WlzType
* \brief        Callback structure from WlzCbThreshold()
*               Typedef: ::WlzThreshCbStr.
*/
typedef struct _WlzThreshCbStr
{
  WlzPixelP     pix;
  WlzIVertex3   pos;
} WlzThreshCbStr;

/*!
* \typedef      WlzThreshCbFn
* \ingroup      WlzFunction
* \brief        Callback function for the WlzCbThreshold()
*/
#ifdef WLZ_EXT_BIND
typedef void *WlzThreshCbFn;
#else /* WLZ_EXT_BIND */
typedef int (*WlzThreshCbFn)(WlzObject *, void *, WlzThreshCbStr *);
#endif /* WLZ_EXT_BIND */

/************************************************************************
* Transforms
************************************************************************/
/*!
* \union        _WlzTransform
* \ingroup      WlzTransform
* \brief        A union of all valid transforms.
*               Typedef: ::WlzTransform.
*/
typedef union _WlzTransform
{
  struct _WlzCoreTransform *core;       /*!< Core transform. */
  struct _WlzEmptyTransform *empty;     /*!< Empty (zero) transform. */
  struct _WlzAffineTransform *affine;   /*!< Affine transforms, 2D or 3D. */
  struct _WlzBasisFnTransform *basis;   /*!< Any basis function transform. */
  struct _WlzMeshTransform *mesh;       /*!< Any convex mesh transform. */
  struct _WlzObject *obj;               /*!< Some transforms are objects
                                             with a domain and values (eg
                                             conforming mesh transforms). */
} WlzTransform;

/*!
* \struct       _WlzCoreTransform
* \ingroup      WlzTransform
* \brief        The core transform, with members common to all transforms.
*               Typedef: ::WlzCoreTransform.
*/
typedef struct _WlzCoreTransform
{
  WlzTransformType type;                /*!< From WlzCoreDomain. */
  int           linkcount;              /*!< From WlzCoreDomain. */
  void          *freeptr;               /*!< From WlzCoreDomain. */
} WlzCoreTransform;

/*!
* \struct       _WlzEmptyTransform
* \ingroup      WlzTransform
* \brief        An empty transform, with members common to all transforms.
*               An empty transform is a compact represetation of a zero
*               transform avoiding the use of NULL which implies an error.
*               Typedef: ::WlzCoreTransform.
*/
typedef struct _WlzEmptyTransform
{
  WlzTransformType type;                /*!< From WlzCoreDomain. */
  int           linkcount;              /*!< From WlzCoreDomain. */
  void          *freeptr;               /*!< From WlzCoreDomain. */
} WlzEmptyTransform;

/*!
* \struct       _WlzAffineTransform
* \ingroup      WlzTransform
* \brief        Either a 2D or 3D affine transform.
*               The homogeneous matrix (mat) is always allocated as a 4x4
*               AlcDouble2Alloc style array. It is used as a 3x3
*               matrix for 2D and as a 4x4 matrix for 3D affine transforms. 
*               Typedef: ::WlzAffineTransform.
*/
typedef struct _WlzAffineTransform
{
  WlzTransformType type;                /*!< From WlzCoreDomain. */
  int           linkcount;              /*!< From WlzCoreDomain. */
  void          *freeptr;               /*!< From WlzCoreDomain. */
  double        **mat;                  /*!< A 4x4 homogeneous matrix which is
                                             used as a 3x3 matrix for 2D
                                             transforms and as a 4x4 matrix for
                                             3D affine transforms. */
} WlzAffineTransform;

/*!
* \struct       _WlzAffineTransformPrim
* \ingroup      WlzTransform
* \brief        Affine tranform primitives.
*               Typedef: ::WlzAffineTransformPrim.
*/
typedef struct _WlzAffineTransformPrim
{
  double        tx,                     /*!< X translation. */
                ty,                     /*!< Y translation. */
                tz,                     /*!< Z translation. */
                scale,                  /*!< Scale transformation. */
                theta,                  /*!< Rotation about z-axis. */
                phi,                    /*!< Rotation about y-axis. */
                alpha,                  /*!< Shear strength. */
                psi,                    /*!< Shear angle in x-y plane. */
                xsi;                    /*!< 3D shear angle. */
  int           invert;                 /*!< Non-zero if reflection about
                                             the y-axis. */
} WlzAffineTransformPrim;

/*!
* \struct       _WlzBasisFnTransform
* \ingroup      WlzTransform
* \brief        A basis function transform.
*               The delta is used by the MQ and Gauss basis functions:
*               For the MQ basis function delta = \f$R^2\f$,
*               and for the Gaussian basis function delta = \f$1/s^2\f$.
*               Typedef: ::WlzBasisFnTransform.
*/
typedef struct _WlzBasisFnTransform
{
  WlzTransformType type;                /*!< From WlzCoreDomain. */
  int           linkcount;              /*!< From WlzCoreDomain. */
  void          *freeptr;               /*!< From WlzCoreDomain. */
  WlzBasisFn    *basisFn;               /*!< The basis function for the
                                             transform. */
} WlzBasisFnTransform;

/*!
* \struct       _WlzMeshNode
* \ingroup      WlzTransform
* \brief        Defines a node within a mesh transform.
*               Typedef: ::WlzMeshNode.
*/
typedef struct  _WlzMeshNode
{
  unsigned int  flags;                  /*!< Mesh node flags. */
  WlzDVertex2   position;               /*!< Node position. */
  WlzDVertex2   displacement;           /*!< Node displacement. */
} WlzMeshNode;

/*!
* \struct       _WlzMeshNode3D
* \ingroup      WlzTransform
* \brief        Defines a 3D node within a mesh transform.
*  added by J. Rao 10/09/2001
*/
struct  _WlzMeshNode3D
{
  unsigned int  flags;                  /*!< Mesh node flags */
  WlzDVertex3   position;               /*!< Node position */
  WlzDVertex3   displacement;           /*!< Node displacement */
};
typedef struct _WlzMeshNode3D WlzMeshNode3D;



/*!
* \struct       _WlzMeshNode2D5
* \ingroup      WlzTransform
* \brief        Defines a 2D5 node within a mesh transform.
*  added by J. Rao 23/10/2001
*/
typedef struct  _WlzMeshNode2D5
{
  unsigned int  flags;                  /*!< Mesh node flags */
  WlzDVertex2   position;               /*!< Node position */
  WlzDVertex3   displacement;           /*!< Node displacement */
} WlzMeshNode2D5;

/*!
* \struct       _WlzMeshElem
* \ingroup      WlzTransform
* \brief        Defines an triangular mesh element within a mesh transform.
*               The nodes and neighbours are indexed such that:         
*               Neighbour 0 shares nodes 1 and 2, neighbour 1 shares nodes 2
*               and 0 and neighbour 2 shares nodes 0 and 1. All the nodes
*               are stored in counter clockwise (CCW) order.
*               Typedef: ::WlzMeshElem.
*/
typedef struct _WlzMeshElem
{
  WlzMeshElemType type;                 /*!< Type of mesh element. */
  int           idx;                    /*!< Index of this element. */
  unsigned int  flags;                  /*!< Mesh element flags. */
  int           nodes[3];               /*!< Node indicies (CCW order). */
  int           neighbours[3];          /*!< Indicies of neighbouring
                                             elements. */
  double        strainU[3];             /*!< Constants of strain energy
                                             function. */
  double        strainA[3];             /*!< Constants of strain energy
                                             function. */
} WlzMeshElem;

/*!
* \struct       _WlzMeshElem3D 
* \ingroup      WlzTransform
* \brief        Defines an tetrahedral mesh element within a mesh transform.
*               The nodes and neighbours are indexed such that:         
*               Neighbour 0 shares surface ( nodes 0, 1 and 2), neighbour 1 
*               shares surface (nodes 1, 3 and 2), neighbour 2 shares surface
*               (nodes 2, 3 and 0 ) and  neighbour 3 shares surface (nodes 0, 3 and 1 )
*               All the nodes stored in the following sequence:
*               0-1-2 formed a counter clockwise (CCW) order using the dircection of a 
*               surface outwards from the tetrahedron. 0-2-3 are also stored in  
*               counter clockwise (CCW) order.                          
*               added by J. Rao     10/09/2001
*
*/
typedef struct _WlzMeshElem3D
{
  WlzMeshElemType type;                 /*!< Type of mesh element */
  int           idx;                    /*!< Index of this element */
  unsigned int  flags;                  /*!< Mesh element flags */
  int           nodes[4];               /*!< Node indicies (CCW order) */
  int           neighbours[4];          /*!< Indicies of neighbouring
                                             elements */
} WlzMeshElem3D;

/*!
* \struct       _WlzMeshTransform
* \ingroup      WlzTransform
* \brief        A mesh convex transform.
*               Typedef: ::WlzMeshElem.
*/
typedef struct _WlzMeshTransform
{
  WlzTransformType type;                /*!< From WlzCoreDomain. */
  int           linkcount;              /*!< From WlzCoreDomain. */
  void          *freeptr;               /*!< From WlzCoreDomain. */
  int           nElem;                  /*!< Number of elements. */
  int           nNodes;                 /*!< Number of vertex nodes. */
  int           maxElem;                /*!< Space allocated for elements. */
  int           maxNodes;               /*!< Space allocated for vertex 
                                             nodes. */
  WlzMeshElem   *elements;              /*!< Mesh elements. */
  WlzMeshNode   *nodes;                 /*!< Mesh nodes. */
} WlzMeshTransform;


#ifndef WLZ_EXT_BIND
/*!
* \struct       _WlzMeshTransform3D
* \ingroup      WlzTransform
* \brief        Defines a mesh transform.
*               added by J. Rao 10/09/2001        
*/
typedef struct _WlzMeshTransform3D
{
  WlzTransformType type;                /*!< From the core domain. */
  int           linkcount;              /*!< From the core domain. */
  void          *freeptr;               /*!< From the core domain. */
  int           nElem;                  /*!< Number of elements */
  int           nNodes;                 /*!< Number of vertex nodes */
  int           maxElem;                /*!< Space allocated for elements */
  int           maxNodes;               /*!< Space allocated for vertex 
                                             nodes */
  WlzMeshElem3D         *elements;      /*!< Mesh elements */
  WlzMeshNode3D         *nodes;         /*!< Mesh nodes */
} WlzMeshTransform3D;

#endif /* WLZ_EXT_BIND */

/*!
* \struct       _WlzMeshTransform2D5
* \ingroup      WlzTransform
* \brief        Defines a mesh transform.
*               added by J. Rao 23/10/2001        
*/
typedef struct _WlzMeshTransform2D5
{
  WlzTransformType type;                /*!< From the core domain. */
  int           linkcount;              /*!< From the core domain. */
  void          *freeptr;               /*!< From the core domain. */
  int           nElem;                  /*!< Number of elements */
  int           nNodes;                 /*!< Number of vertex nodes */
  int           maxElem;                /*!< Space allocated for elements */
  int           maxNodes;               /*!< Space allocated for vertex 
                                             nodes */
  double        zConst;                 /*!< z plane const */
  WlzMeshElem           *elements;      /*!< Mesh elements */
  WlzMeshNode2D5        *nodes;         /*!< Mesh nodes */
} WlzMeshTransform2D5;

/************************************************************************
* User weighting functions and callback data structures for ICP based
* registration and matching.
************************************************************************/
#ifndef WLZ_EXT_BIND
/*!
* \typedef      WlzRegICPUsrWgtFn
* \ingroup      WlzTransform
* \brief        A pointer to a function called for user code weighting
*               of the matched vertices.
*/
typedef double  (*WlzRegICPUsrWgtFn)(WlzVertexType,
                             WlzAffineTransform *,
                             AlcKDTTree *,
                             WlzVertexP, WlzVertexP, WlzVertex, WlzVertex,
                             double, double, void *);

/*!
* \typedef      WlzMatchICPWeightCbData
* \ingroup      WlzTransform
* \brief        A data structure for wieghting vertex matches within
*               WlzMatchICPWeightMatches().
*               Typedef: ::WlzMatchICPWeightCbData.
*/
typedef struct _WlzMatchICPWeightCbData
{
  WlzGMModel    *tGM;
  WlzGMModel    *sGM;
  int           nScatter;
  double        maxDisp;
} WlzMatchICPWeightCbData;

#endif /* WLZ_EXT_BIND */

/************************************************************************
* Sequential/local transformation workspace structure.          
************************************************************************/
/*!
* \struct       _WlzSeqParWSpace
* \ingroup      WlzValuesFilters
* \brief        
*               Typedef: ::WlzSeqParWSpace.
*/
typedef struct _WlzSeqParWSpace
{
  int **adrptr;
  int kdelta;
  int ldelta;
  int brdrsz;
} WlzSeqParWSpace;

/*!
* \struct       _Wlz1DConvMask
* \ingroup      WlzValuesFilters
* \brief
*               Typedef: ::Wlz1DConvMask.
*/
typedef struct _Wlz1DConvMask
{
  int mask_size;
  int *mask_values;
  int norm_factor;
} Wlz1DConvMask;

/*!
* \struct       _WlzSepTransWSpace
* \ingroup      WlzValuesFilters
* \brief
*               Typedef: ::WlzSepTransWSpace.
*/
typedef struct _WlzSepTransWSpace
{
  WlzPixelP     inbuf;
  WlzPixelP     outbuf;
  int           len;
  WlzPixelV     bckgrnd;
} WlzSepTransWSpace;

/************************************************************************
* Standard workspace structure for interval objects.            
************************************************************************/
/*!
* \struct       _WlzIntervalWSpace
* \ingroup      WlzAccess
* \brief        The standard workspace structure for interval objects.
*               Typedef: ::WlzIntervalWSpace.
*/
typedef struct _WlzIntervalWSpace
{
  WlzObject *objaddr;                   /*!< The current object. */
  int dmntype;                          /*!< Domain type. */
  int lineraster;                       /*!< Line scan direction as follows:
                                             <ul>
                                               <li>
                                                1 increasing rows.
                                               </li>
                                               <li>
                                                -1 decreasing rows.
                                               </li>
                                             </ul> */
  int colraster;                        /*!< Column scan direction as follows:
                                             <ul>
                                               <li>
                                                1 increasing columns.
                                               </li>
                                               <li>
                                                -1 decreasing columns.
                                               </li>
                                             </ul> */
  WlzIntervalDomain *intdmn;            /*!< Pointer to interval structure. */
  WlzIntervalLine *intvln;              /*!< Pointer to current line of
                                             intervals. */
  WlzInterval   *intpos;                /*!< Pointer to current interval - 
                                             in the case of
                                             WLZ_INTERVALDOMAIN_RECT this
                                             is set up to point to the column
                                             bounds in the interval domain
                                             structure. */
  int colpos;                           /*!< Column position. */
  int colrmn;                           /*!< Columns remaining. */
  int linbot;                           /*!< First line. */
  int linpos;                           /*!< Line position. */
  int linrmn;                           /*!< Lines remaining. */
  int intrmn;                           /*!< Intervals remaining in line. */
  int lftpos;                           /*!< Left end of interval. */
  int rgtpos;                           /*!< Right end of interval. */
  int nwlpos;                           /*!< Non-zero if new line, counts
                                             line increment since the last
                                             interval. */
  int plnpos;                           /*!< Plane position, for 3D domains
                                             and value tables. */
  struct _WlzGreyWSpace *gryptr;        /*!< Pointer to grey value table
                                             workspace. */
} WlzIntervalWSpace;

/************************************************************************
* Standard workspace for grey value table manipulations                 
************************************************************************/
/*!
* \struct       _WlzGreyWSpace
* \ingroup      WlzAccess
* \brief        The standard workspace for grey value table manipulations.
*               Typedef: ::WlzGreyWSpace.
*/
typedef struct _WlzGreyWSpace
{
  int gvio;                             /*!< Grey value I/O switch:
                                             <ul>
                                               <li>
                                               0 = input to object only
                                               </li>
                                               <li>
                                               1 = output from object only
                                               </li>
                                             </ul>
                                            Only relevant if tranpl set, as all
                                            grey-tables are unpacked. */
  int tranpl;                           /*!< If non-zero, transplant values
                                             to a buffer whose address is
                                             u_grintptr. Direction of
                                             transplant in gvio. */
  WlzGreyType pixeltype;                /*!< Grey type. */
  WlzObjectType gdomaintype;            /*!< Value table type. */
  WlzValues gtable;                     /*!< Grey value table. */
  WlzValueLine *gline;                  /*!< Pointer to current grey table
                                             line pointer. */
  WlzTiledValueBuffer *tvb;             /*!< Tiled values buffer. */
  WlzIntervalWSpace *intptr;            /*!< Pointer to interval table
                                             workspace. */
  WlzGreyP u_grintptr;                  /*!< Pointer to interval grey table.
                                             Always points to lowest order
                                             column, whatever the value of
                                             raster. */
} WlzGreyWSpace;


/*!
* \struct       _WlzIterateWSpace
* \ingroup      WlzAccess
* \brief        A workspace structure for interval objects which allows
*               iteration through an object's pixels/voxels.
*               Typedef: ::WlzIterateWSpace.
*/
typedef struct _WlzIterateWSpace
{
  WlzObject     *obj;                   /*!< The object being iterated
                                             through. */
  WlzObject     *obj2D;                 /*!< Object for the current plane. */
  WlzIntervalWSpace *iWSp;              /*!< Interval workspace for the current
                                             2D object. */
  WlzGreyWSpace *gWSp;                  /*!< Grey workspace for the current
                                             2D object. */
  WlzRasterDir  dir;                    /*!< Scanning direction. */
  int           grey;                   /*!< Non-zero if initialised for
                                             grey values. */
  int           itvPos;                 /*!< Offset into the current
                                             interval. */
  int           plnIdx;                 /*!< Offset into planes of a 3D object
                                             for the current plane. */
  int           plnRmn;                 /*!< Number of planes remaining for
                                             the current 2D object when
                                             iterating through a 3D object. */
  WlzIVertex3   pos;                    /*!< Current position. */
  WlzGreyType   gType;                  /*!< The current grey type. If
                                             WLZ_GREY_ERROR then the work space
                                             has not been initialised for grey
                                             data. */
  WlzGreyP      gP;                     /*!< Pointer to current grey value
                                             This will be NULL if grey values
                                             are not appopriate, ie gType
                                             is WLZ_GREY_ERROR. */
} WlzIterateWSpace;

/*!
* \struct       _WlzGreyValueWSpace
* \ingroup      WlzAccess
* \brief        Workspace for random access grey value manipulations.
*               Typedef: ::WlzGreyValueWSpace.
*/
typedef struct _WlzGreyValueWSpace
{
  WlzObjectType objType;                /*!< Type of object, either
                                             WLZ_2D_DOMAINOBJ or
                                             WLZ_3D_DOMAINOBJ. */
  WlzDomain     domain;                 /*!< The object's domain. */
  WlzValues     values;                 /*!< The object's values. */
  WlzObjectType gTabType;               /*!< The grey table type. */
  WlzObjectType *gTabTypes3D;           /*!< Cache for efficiency with 2D
                                             value types. Not used for
                                             tiled values. */
  WlzAffineTransform *invTrans;         /*!< If the object is a WLZ_TRANS_OBJ
                                             then used to cache the inverse
                                             transform. */
  WlzIntervalDomain *iDom2D;            /*!< Current/last plane or 2D object
                                             domain. */
  WlzValues     values2D;               /*!< Current/last plane or 2D object
                                             values. Not used for tiled
                                             values. */
  int           plane;                  /*!< Current/last plane position. */
  WlzGreyType   gType;                  /*!< Grey type. */
  WlzObjectType gTabType2D;             /*!< Current/last plane or 2D grey
                                             table. Not used for tiled
                                             values. */
  WlzGreyV      gBkd;                   /*!< Background grey value, always
                                             of gType. */
  WlzGreyP      gPtr[8];                /*!< One, four or eight grey
                                             pointers. */
  WlzGreyV      gVal[8];                /*!< One, four or eight grey
                                             values. */
  unsigned      bkdFlag;                /*!< Flag set if background used
                                             with a bitmask to indicate
                                             which values are background.
                                             Value is 0 if there are no
                                             background values. */
} WlzGreyValueWSpace;

/************************************************************************
* File I/O flags
************************************************************************/
/*!
* \enum         _WlzIOFlags
* \ingroup      WlzIO
* \brief        Flags for Woolz file I/O.
*/
typedef enum _WlzIOFlags
{
  WLZ_IOFLAGS_NONE      = (0),          /*!< No flags set. */
  WLZ_IOFLAGS_READ      = (1),          /*!< Read flag bit. */
  WLZ_IOFLAGS_WRITE     = (1<<1)        /*!< Write flag bit. */
} WlzIOFlags;

/************************************************************************
* Transform callback functions
************************************************************************/

/*!
* \typedef      WlzAffineTransformCbFn
* \ingroup      WlzTransform
* \brief        Callback function for the WlzAffineTransformCb()
*               which may be used for value interpolation of an
*               interval of destination values.
*
*               The parameters are:
*               \arg cbData Callback data passed to WlzAffineTransformCb().
*               \arg gWSp   Target grey workspace.
*               \arg gVWSp  Source grey value workspace.
*               \arg invTr  Affine transform from target to source.
*               \arg pln    Plane of interval in destination.
*               \arg ln     Line of interval in destination.
*/
#ifndef WLZ_EXT_BIND
typedef WlzErrorNum (*WlzAffineTransformCbFn)(void *cbData,
                                      struct _WlzGreyWSpace *gWSp,
                                      struct _WlzGreyValueWSpace *gVWSp,
                                      struct _WlzAffineTransform *invTr,
                                      int pln, int ln);
#endif

/************************************************************************
* Finite Element and Warping structures.                        
************************************************************************/

/*!
* \enum         _WlzElementType
* \ingroup      WlzTransform
* \brief        The types of elements in a finite element warp mesh.
*               Typedef: ::WlzElementType.
*/
typedef enum _WlzElementType
{
    WLZ_LINEAR_RECT             = 11,   /*!< Linear and rectangular. */
    WLZ_INCOMPRESSIBLE_RECT,            /*!< Incompessible and rectangular. */
    WLZ_COMPRESSIBLE_RECT,              /*!< Compressible and rectangular. */
    WLZ_LINEAR_TRI              = 21,   /*!< Linear and triangular. */
    WLZ_INCOMPRESSIBLE_TRI,             /*!< Incompessible and triangular. */
    WLZ_COMPRESSIBLE_TRI                /*!< Compressible and triangular. */
} WlzElementType;


#define WLZ_LINEAR 1
#define WLZ_INCOMPRESSIBLE 2
#define WLZ_COMPRESSIBLE 3

#define WLZ_RECTANGULAR 1
#define WLZ_TRIANGULAR 2

/*!
* \struct       _WlzTElement
* \ingroup      WlzTransform
* \brief        Triangular finite element warping mesh element.
*               Typedef: ::WlzTElement.
*/
typedef struct _WlzTElement
{
    WlzElementType type;        /*!< Type of element (linear, compressible,
                                     incompressible). */
    int n;                      /*!< Global element number. */
    int nodes[3];               /*!< Global node numbers - in anti-clockwise
                                     order! */
    float u[3];                 /*!< E = u[0] if type linear. */
    float a[3];                 /*!< \f$\mu\f$ = a[0] if type linear. */
} WlzTElement;

/*!
* \struct       _WlzRElement
* \ingroup      WlzTransform
* \brief        Rectangular finite element warping mesh element.
*               Typedef: ::WlzRElement.
*/
typedef struct _WlzRElement
{
    WlzElementType type;        /*!< Type of element (linear, compressible,
                                     incompressible). */
    int n;                      /*!< Global element number. */
    int nodes[4];               /*!< Global node numbers - in anti-clockwise
                                     order! */
    float u[3];                 /*!< E = u[0] if type linear. */
    float a[3];                 /*!< \f$\mu\f$ = a[0] if type linear. */
} WlzRElement;

/*!
* \struct       _WlzWarpTrans
* \ingroup      WlzTransform
* \brief        Finite element warp transformation.
*               Typedef: ::WlzWarpTrans.
*/
typedef struct _WlzWarpTrans
{
  int type;                     /*!< From WlzCoreDomain. */
  int linkcount;                /*!< From WlzCoreDomain. */
  int nelts;                    /*!< Number of elements */
  int nodes;                    /*!< Number of nodes. */
  WlzDVertex2 *ncoords;         /*!< Array of nodal coordinates. */
  WlzTElement *eltlist;         /*!< List of elements. */
  WlzDVertex2 *displacements;   /*!< Array of nodal displacements. */
  float imdisp;                 /*!< Max displacement in warped image. */
  float iterdisp;               /*!< Max displacement during last iteration. */
} WlzWarpTrans;

/************************************************************************
* Feature matching structures for finite element warping.
************************************************************************/

/*!
* \enum         _WlzMatchType
* \ingroup      WlzRegistration
* \brief        Finite element warping match types.
*               Typedef: ::WlzMatchType.
*/
typedef enum _WlzMatchType
{
    WLZ_DISCARD_POINT   = -1,
    WLZ_NODE_ATTACH     = 0,
    WLZ_ELEMENT_ATTACH  = 1
} WlzMatchType;

#define WLZ_MAX_NODAL_DEGREE 20

/*!
* \struct       _WlzFeatureVector
* \ingroup      WlzRegistration
* \brief        Finite element warping feature vector.
*               Typedef: ::WlzFeatureVector.
*/
typedef struct _WlzFeatureVector
{
  int direction;
  float magnitude;
  float mean1;
  float mean2;
  float std1;
  float std2;
} WlzFeatureVector;


/*!
* \struct       _WlzFeatValueLine
* \ingroup      WlzRegistration
* \brief        A line of finite element warping feature vectors.
*               Typedef: ::WlzFeatValueLine.
*/
typedef struct _WlzFeatValueLine
{
  int    vkol1;                         /*!< Left end. */
  int    vlastkl;                       /*!< Right end. */
  WlzFeatureVector *values;             /*!< Array of feature vector values. */
} WlzFeatValueLine;


/*!
* \struct       _WlzFeatValues
* \ingroup      WlzRegistration
* \brief        A ragged rectangular feature value table.
*               Typedef: ::WlzFeatValues.
*/
typedef struct _WlzFeatValue
{
  WlzObjectType type;                   /*!< From WlzCoreValues. */
  int           linkcount;              /*!< From WlzCoreValues. */
  void          *freeptr;               /*!< From WlzCoreValues. */
  WlzValues     original_table;         /*!< If non-NULL, the values table
                                             which owns the raw values we
                                             are using. */
  int           line1;                  /*!< First line. */
  int           lastln;                 /*!< Last line. */
  int           kol1;                   /*!< First column. */
  int           width;                  /*!< Width. */
  WlzFeatureVector backgrnd;            /*!< Background value for feature
                                             vectors not in object. */
  WlzFeatValueLine *vtblines;           /*!< Array of feature value table line
                                             structures. */
} WlzFeatValues;
    

/*!
* \struct       _WlzRectFeatValues
* \ingroup      WlzRegistration
* \brief        A rectangular feature value table.
*               Typedef: ::WlzRectFeatValues.
*/
typedef struct  _WlzRectFeatValues
{
  WlzObjectType type;                   /*!< From WlzCoreValues. */
  int           linkcount;              /*!< From WlzCoreValues. */
  void          *freeptr;               /*!< From WlzCoreValues. */
  WlzValues     original_table;         /*!< If non-NULL, the values table
                                             which owns the raw values we
                                             are using. */
  int           line1;                  /*!< First line. */
  int           lastln;                 /*!< Last line. */
  int           kol1;                   /*!< First column. */
  int           width;                  /*!< Width. */
  WlzFeatureVector backgrnd;            /*!< Background value for feature
                                             vectors not in object. */
  WlzFeatureVector *values;             /*!< Contiguous array of feature
                                             vector values. */
} WlzRectFeatValues;
    

/*!
* \struct       _WlzFMatchPoint
* \ingroup      WlzRegistration
* \brief        Finite element warping feature match point.
*               Typedef: ::WlzFMatchPoint.
*/
typedef struct _WlzFMatchPoint
{
  WlzMatchType  type;                   /*!< Match type. */
  int           node;                   /*!< Node or element to which point
                                             attached. */
  WlzFVertex2   ptcoords;               /*!< Coordinate of interesting
                                             point. */
  int           elements[WLZ_MAX_NODAL_DEGREE]; /*!< Array of elements in
                                            which to search for point. */
  WlzFeatureVector *features;           /*!< Pointer to features of point. */
} WlzFMatchPoint;

/*!
* \struct       _WlzFMatchObj
* \ingroup      WlzRegistration
* \brief        A finite element warping feature match, interesting points
*               object.
*               Typedef: ::WlzFMatchObj.
*/
typedef struct _WlzFMatchObj
{
  WlzObjectType type;                   /*!< From WlzCoreObject. */
  int           linkcount;              /*!< From WlzCoreObject. */
  int           nopts;                  /*!< Number of interesting points. */
  WlzFMatchPoint *matchpts;             /*!< Array of interesting points. */
} WlzFMatchObj;

/*!
* \struct       _Wlz3DWarpTrans
* \ingroup      WlzRegistration
* \brief        A plane-wise 3D finite element warping transform.
*               Typedef: ::Wlz3DWarpTrans.
*/
typedef struct _Wlz3DWarpTrans
{
  WlzObjectType type;                   /*!< From WlzCoreObject. */
  int           linkcount;              /*!< From WlzCoreObject. */
  WlzPlaneDomain *pdom;                 /*!< Plane domain. */
  WlzFMatchObj  **intptdoms;            /*!< Array of pointers to interesting
                                             point objects. */
  int           iteration;              /*!< Current iteration. */
  int           currentplane;           /*!< Current plane. */
  float         maxdisp;                /*!< Maximum displacement. */
  WlzPropertyList *plist;               /*!< A list of the object's
                                             properties. */
  WlzObject     *assoc;                 /*!< Associated object. */
} Wlz3DWarpTrans;

/*!
* \enum         _Wlz3DViewStructInitMask
* \ingroup      WlzTransform
* \brief        Mesh transform element flag bit masks.
*               Typedef: ::WlzMeshElemFlags.
*/
typedef enum _Wlz3DViewStructInitMask
{
  WLZ_3DVIEWSTRUCT_INIT_NONE    = (0),
  WLZ_3DVIEWSTRUCT_INIT_TRANS   = (1),    /*!< Initialised transform */
  WLZ_3DVIEWSTRUCT_INIT_BB      = (1<<1), /*!< Initialised bounding box */
  WLZ_3DVIEWSTRUCT_INIT_LUT     = (1<<2), /*!< Initialised look-up tables */
#ifndef WLZ_EXT_BIND
  WLZ_3DVIEWSTRUCT_INIT_ALL     = 0x7     /*!< Initialised all convenience mask */
#else
  WLZ_3DVIEWSTRUCT_INIT_ALL     = (7)     /*!< Initialised all convenience mask */
#endif
} Wlz3DViewStructInitMask;

/************************************************************************
* 3D section structure.                                         
************************************************************************/
/*!
* \struct       _WlzThreeDViewStruct
* \ingroup      WlzSectionTransform
* \brief        Defines a planar section through a 3D volume.
*               Typedef: ::WlzThreeDViewStruct.
*/
typedef struct _WlzThreeDViewStruct
{
  WlzObjectType type;                   /*!< Identifies the 3D view data
                                             structure: WLZ_3D_VIEW_STRUCT. */
  int           linkcount;              /*!< Core. */
  void          *freeptr;               /*!< Core. */
  int           initialised;            /*!< Non zero if the 3D view structure
                                             has been initialized. */
  WlzDVertex3   fixed;                  /*!< Fixed point. */
  double        theta;                  /*!< Angle of rotation about the z-axis
                                             (radians). */
  double        phi;                    /*!< Angle between the viewing
                                             direction and the original
                                             z-axis (radians). */
  double        zeta;                   
  double        dist;                   /*!< Perpendicular distance from the
                                             fixed point to the view plane. */
  double        scale;                  /*!< Overall scale parameter */
  double        voxelSize[3];           /*!< Voxel rescaling if required */
  int           voxelRescaleFlg;        /*!< Voxel rescaling mode */
  WlzInterpolationType interp;          /*!< use pixel interpolation */
  WlzThreeDViewMode view_mode;          /*!< Determines the angle at which the
                                             section cut. */
  WlzDVertex3   up;                     /*!< Up vector. */
  WlzDVertex3   fixed_2;                /*!< Second fixed point. */
  double        fixed_line_angle;       /*!< Angle of fixed line. */
  WlzObject     *ref_obj;
  WlzDVertex3   minvals;
  WlzDVertex3   maxvals;
  double        *xp_to_x, *xp_to_y, *xp_to_z;
  double        *yp_to_x, *yp_to_y, *yp_to_z;
/*  double      **rotation;*/
  WlzAffineTransform    *trans;         /*!< Affine transform for given
                                          parameters. Could include the
                                          voxel size rescaling */
} WlzThreeDViewStruct;

/*!
* \typedef      WlzProjectIntMode
* \ingroup      WlzTransform
* \brief        3D to 2D projection integration modes.
*/
typedef enum    _WlzProjectIntMode
{
  WLZ_PROJECT_INT_MODE_NONE,            /*!< No integration. */
  WLZ_PROJECT_INT_MODE_DOMAIN,          /*!< Integration using constant
                                             density within a domain. */
  WLZ_PROJECT_INT_MODE_VALUES           /*!< Integration using voxel value
                                             dependant density. */
} WlzProjectIntMode;

/*!
* \enum         _WlzKrigModelFnType
* \ingroup      WlzType
* \brief        Enumerated values for kriging variogram model functions. See
*               the functions for details.
*/
typedef enum _WlzKrigModelFnType
{
  WLZ_KRIG_MODELFN_INVALID      = 0,    /*!< Invalid function, may be used
                                             to indicate an error. */
  WLZ_KRIG_MODELFN_NUGGET,              /*!< Nugget model function, see
                                             WlzKrigModelFnNugget(). */
  WLZ_KRIG_MODELFN_LINEAR,              /*!< Linear model function, see
                                             WlzKrigModelFnNugget(). */
  WLZ_KRIG_MODELFN_SPHERICAL,           /*!< Spherical model function, see
                                             WlzKrigModelFnSpherical(). */
  WLZ_KRIG_MODELFN_EXPONENTIAL,         /*!< Exponential model function, see
                                             WlzKrigModelFnExponential(). */
  WLZ_KRIG_MODELFN_GAUSSIAN,            /*!< Gaussian model function, see
                                             WlzKrigModelFnGaussian(). */
  WLZ_KRIG_MODELFN_QUADRATIC            /*!< Quadratic model function, see
                                             WlzKrigModelFnQuadratic(). */
} WlzKrigModelFnType;

/*!
* \struct       _WlzKrigModelFn
* \ingroup      WlzType
* \brief        Parameters and function pointer for a kriging model function.
*/
typedef struct _WlzKrigModelFn
{
  WlzKrigModelFnType    type;           /*!< Kriging model function type. */
  double                c0;             /*!< Nugget (offset) parameter. */
  double                c1;             /*!< Sill (slope) parameter. */
  double                a;              /*!< Range parameter. */
#ifdef WLZ_EXT_BIND
  void                  *fn;
#else
  double                (*fn)(struct _WlzKrigModelFn *, double h);
#endif
                                        /*!< Function pointer. */
} WlzKrigModelFn;


#ifndef WLZ_EXT_BIND
#ifdef  __cplusplus
}
#endif /* __cplusplus */
#endif /* WLZ_EXT_BIND */

#endif  /* !WLZ_TYPE_H Don't put anything after this line */