Files
file	WlzGeometryTrackUpAndDown_s.c
	Tracks contours forming surface patches.

file	WlzGeoModel.c
	Basic operators for manipulating Woolz geometric models. These can be either planar graphs or 3D surfaces, with the surfaces being either manifold or non-manifold.

file	WlzGeoModelCellGridWSp.c
	Functions to create and free geometric models cell grid work spaces.

file	WlzGeoModelCut.c
	Functions to cut geometric models (GM's).

file	WlzGeoModelFilters.c
	Filters for geometric models (GM's).

Data Structures
union	_WlzGMElemP
	A union of pointers to all the valid geometric model elements. Typedef: WlzGMElemP. More...

struct	_WlzGMCore
	The core geometric model element from which all geometric modeling elements inherit the type and index fields. Typedef: WlzGMCore. More...

struct	_WlzGMVertexG2I
	The position of a point in 2D integer space. Typedef: WlzGMVertexG2I. More...

struct	_WlzGMVertexG2D
	The position of a point in 2D double precision space. Typedef: WlzGMVertexG2D. More...

struct	_WlzGMVertexG2N
	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. More...

struct	_WlzGMVertexG3I
	The position of a point in 3D integer space. Typedef: WlzGMVertexG3I. More...

struct	_WlzGMVertexG3D
	The position of a point in 3D double precision space. Typedef: WlzGMVertexG3D. More...

struct	_WlzGMVertexG3N
	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. More...

union	_WlzGMVertexGU
	A union of pointers to the geometric properties of a point. Typedef: WlzGMVertexGU. More...

struct	_WlzGMVertexT
	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. More...

struct	_WlzGMVertex
	A single point in space defined in terms of both it's geometry and it's topology. Typedef: WlzGMVertex. More...

struct	_WlzGMDiskT
	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. More...

struct	_WlzGMEdgeT
	The topological properties of a directed edge. Typedef: WlzGMEdgeT. More...

struct	_WlzGMEdge
	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. More...

struct	_WlzGMLoopT
	A directed loop or the topological properties of a loop. Typedef: WlzGMLoopT. More...

struct	_WlzGMFace
	A circuit of edges. Typedef: WlzGMFace. More...

struct	_WlzGMShellG2I
	The geometric properties of a shell in 2D integer space. Typedef: WlzGMShellG2I. More...

struct	_WlzGMShellG2D
	The geometric properties of a shell in 2D double precision space. Typedef: WlzGMShellG2D. More...

struct	_WlzGMShellG3I
	The geometric properties of a shell in 3D integer space. Typedef: WlzGMShellG3I. More...

struct	_WlzGMShellG3D
	The geometric properties of a shell in 3D double precision. space. Typedef: WlzGMShellG3D. More...

union	_WlzGMShellGU
	A union of pointers to the geometric properties of a shell. Typedef: WlzGMShellGU. More...

struct	_WlzGMShell
	A shell which is a collection of connected geometric modeling elements. Typedef: WlzGMShell. More...

struct	_WlzGMResource
	A resource vector (extensible array) used for allocating geometric modeling elements. Typedef: WlzGMResource. More...

struct	_WlzGMModelR
	The resources used by a model. Typedef: WlzGMModelR. More...

struct	_WlzGMModel
	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. More...

struct	_WlzGMCbEntry

struct	_WlzGMResIdx
	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. More...

struct	_WlzGMResIdxTb
	Resource look up tables for all geometric elements in a model. Typedef: WlzGMResIdxTb. More...

struct	_WlzGMGridWSpCell3D
	A single cell entry in an axis aligned grid for a 3D model. Typedef: WlzGMGridWSpCell3D. More...

struct	_WlzGMGridWSp3D
	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. More...

Macros
#define	WLZ_GM_TOLERANCE (1.0e-06)
	Tolerance for geometric queries in geometric models. More...

#define	WLZ_GM_TOLERANCE_SQ (WLZ_GM_TOLERANCE * WLZ_GM_TOLERANCE)
	Square of tolerance for geometric queries in geometric models. More...

Typedefs
typedef void(*	WlzGMCbFn) (WlzGMModel , WlzGMElemP, WlzGMCbReason, void )
	A pointer function to a function called when elements of a Woolz geometric model are either created or deleted. More...

Enumerations
enum	_WlzGMModelType { WLZ_GMMOD_2I = 1, WLZ_GMMOD_2D, WLZ_GMMOD_3I, WLZ_GMMOD_3D, WLZ_GMMOD_2N, WLZ_GMMOD_3N }
	Types of geometric models. Typedef: WlzGMModelType. More...

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 }
	Types of geometric model elements. Typedef: WlzGMElemType. More...

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) }
	Bit masks for the types of geometric model elements. Typedef: WlzGMElemTypeFlags. More...

enum	_WlzGMCbReason { WLZ_GMCB_NEW, WLZ_GMCB_FREE }
	The reason a callback function is called. Typedef: WlzGMCbReason. More...

enum	_WlzLBTNodeFlags { WLZ_LBT_NODE_FLAG_NONE = 0, WLZ_LBT_NODE_FLAG_BOUNDARY = 1 }
	The reason a callback function is called. Typedef: WlzGMCbReason. More...

Functions
WlzErrorNum	WlzGMModelAddResCb (WlzGMModel model, WlzGMCbFn fn, void data)
	Add a resource allocation callback to the models resources. More...

void	WlzGMModelRemResCb (WlzGMModel model, WlzGMCbFn fn, void data)
	Removes a resource allocation callback from the models resources. Both the callback function and callback data must have the same values as when the callback was added since they are used to find the corresponding callback entry. More...

WlzGMModel *	WlzGMModelNew (WlzGMModelType modType, int blkSz, int vHTSz, WlzErrorNum *dstErr)
	Creates an empty non-manifold geometry model. More...

WlzGMShell *	WlzGMModelNewS (WlzGMModel model, WlzErrorNum dstErr)
	Creates an empty shell with a shell geometry element for the model. More...

WlzGMFace *	WlzGMModelNewF (WlzGMModel model, WlzErrorNum dstErr)
	Creates an empty face. More...

WlzGMLoopT *	WlzGMModelNewLT (WlzGMModel model, WlzErrorNum dstErr)
	Creates a loop topology element. More...

WlzGMEdge *	WlzGMModelNewE (WlzGMModel model, WlzErrorNum dstErr)
	Creates a new edge. The edge geometry element only has it's index set to a meaningful value. More...

WlzGMEdgeT *	WlzGMModelNewET (WlzGMModel model, WlzErrorNum dstErr)
	Creates a new edge topology element. More...

WlzGMVertex *	WlzGMModelNewV (WlzGMModel model, WlzErrorNum dstErr)
	Creates a new vertex and a vertex geometry element. The vertex geometry element only has it's index set to a meaningful value. More...

WlzGMVertexT *	WlzGMModelNewVT (WlzGMModel model, WlzErrorNum dstErr)
	Creates a new vertex topology element. More...

WlzGMModel *	WlzGMModelNewFromS (WlzGMShell gS, WlzErrorNum dstErr)
	Creates a new model from the given shell. The new model contains a copy of the given shell. More...

WlzGMModel *	WlzGMModelCopy (WlzGMModel gM, WlzErrorNum dstErr)
	Copies the given model. Because all unused elements are squeezed out, the indicies of the elements may not be equal in the two models. More...

WlzErrorNum	WlzGMModelFree (WlzGMModel *model)
	Free's a geometric model and it's elements. More...

WlzErrorNum	WlzGMModelFreeS (WlzGMModel model, WlzGMShell shell)
	Marks a shell and it's geometry as invalid and suitable for reclaiming. More...

WlzErrorNum	WlzGMModelFreeF (WlzGMModel model, WlzGMFace face)
	Marks a face as invalid and suitable for reclaiming. More...

WlzErrorNum	WlzGMModelFreeLT (WlzGMModel model, WlzGMLoopT loopT)
	Marks a loop topology as invalid and suitable for reclaiming. More...

WlzErrorNum	WlzGMModelFreeDT (WlzGMModel model, WlzGMDiskT diskT)
	Marks an disk topology as invalid and suitable for reclaiming. More...

WlzErrorNum	WlzGMModelFreeE (WlzGMModel model, WlzGMEdge edge)
	Marks an edge as invalid and suitable for reclaiming. More...

WlzErrorNum	WlzGMModelFreeET (WlzGMModel model, WlzGMEdgeT edgeT)
	Marks an edge topology as invalid and suitable for reclaiming. More...

WlzErrorNum	WlzGMModelFreeV (WlzGMModel model, WlzGMVertex vertex)
	Marks a vertex and it's geometry as invalid and suitable for reclaiming. Watch out that vertices remain in the hash table after being free'd. More...

WlzErrorNum	WlzGMModelFreeVT (WlzGMModel model, WlzGMVertexT vertexT)
	Marks a vertex topology as invalid and suitable for reclaiming. More...

WlzErrorNum	WlzGMModelDeleteS (WlzGMModel model, WlzGMShell dS)
	Deletes a shell by unlinking it and then freeing it and all it's children. More...

WlzErrorNum	WlzGMModelDeleteV (WlzGMModel model, WlzGMVertex dV)
	Deletes a vertex along with all the elements which depend on it. All elements which depend on the vertex are unlinked and then freed. If the vertex's parents were to depend only on the vertex then they would be free'd too as the Woolz geometric models can not hold an isolated vertex. The basic algorithm used is: Build a collection of edges which use the vertex and then delete all edges in the collection. If there are no edges (in the collection) then just unlink and free the vertex. The geometries of the existing and new shells will be valid on return. More...

int	WlzGMModelGetDimension (WlzGMModel model, WlzErrorNum dstErr)
	Gets the models dimension from the model's type. More...

WlzErrorNum	WlzGMModelTypeValid (WlzGMModelType type)
	Checks the model type is valid. More...

WlzGMResource *	WlzGMModelGetRes (WlzGMModel model, WlzGMElemType elemType, WlzErrorNum dstErr)
	Gets the resources for the given element type in the given model. More...

WlzGMElemType	WlzGMModelGetSGeomType (WlzGMModel *model)
	Gets the shell's geometry type from the model's type. More...

WlzGMElemType	WlzGMModelGetVGeomType (WlzGMModel *model)
	Gets the verticies geometry type from the model's type. More...

WlzErrorNum	WlzGMShellGetGBB3D (WlzGMShell shell, WlzDBox3 bBox)
	Gets a shell's geometry using the given destination pointer to a double precision bounding box. More...

WlzErrorNum	WlzGMShellGetGBBV3D (WlzGMShell shell, double vol)
	Gets the volume of the shell's geometry's bounding box. More...

WlzErrorNum	WlzGMShellGetGBB2D (WlzGMShell shell, WlzDBox2 bBox)
	Gets a shell's geometry using the given destination pointer to a double precision bounding box. More...

WlzErrorNum	WlzGMShellSetGBB3D (WlzGMShell *shell, WlzDBox3 bBox)
	Sets a shell's geometry using the given double precision bounding box. More...

WlzErrorNum	WlzGMShellSetGBB2D (WlzGMShell *shell, WlzDBox2 bBox)
	Sets a shell's geometry using the given double precision bounding box. More...

WlzErrorNum	WlzGMShellSetG3D (WlzGMShell shell, int nPnt, WlzDVertex3 pos)
	Sets a shell's geometry using the pair of double precision points. More...

WlzErrorNum	WlzGMShellSetG2D (WlzGMShell shell, int nPnt, WlzDVertex2 pos)
	Sets a shell's geometry using the pair of double precision points. More...

WlzErrorNum	WlzGMModelSetSG (WlzGMModel *model)
	Sets the geometry of each of the shells in the given model. More...

WlzErrorNum	WlzGMShellUpdateG3D (WlzGMShell *shell, WlzDVertex3 pos)
	Updates a shell's geometry using the given double precision position. More...

WlzErrorNum	WlzGMShellUpdateG2D (WlzGMShell *shell, WlzDVertex2 pos)
	Updates a shell's geometry using the new given double precision position. More...

WlzErrorNum	WlzGMShellUpdateGBB3D (WlzGMShell *shell, WlzDBox3 bBox)
	Updates a shell's geometry using the given double precision position bounding box. The updated geometry is the union of the existing geometry and the given bounding box. More...

WlzErrorNum	WlzGMShellUpdateGBB2D (WlzGMShell *shell, WlzDBox2 bBox)
	Updates a shell's geometry using the given double precision position bounding box. The updated geometry is the union of the existing geometry and the given bounding box. More...

WlzErrorNum	WlzGMShellDndateG2D (WlzGMShell *shell, WlzDVertex2 pos)
	Updates the shell's geometry for the removed vertex with the given position. More...

WlzErrorNum	WlzGMShellDndateG3D (WlzGMShell *shell, WlzDVertex3 pos)
	Updates the shell's geometry for the removed vertex with the given position. More...

WlzErrorNum	WlzGMShellComputeGBB (WlzGMShell *shell)
	Recomputes the shell's geometry by walking through it's children. More...

int	WlzGMShellGInBB3D (WlzGMShell *shell, WlzDVertex3 pos)
	Checks to see if the given double precision position is within the shell's bounding box. More...

int	WlzGMShellGInBB2D (WlzGMShell *shell, WlzDVertex2 pos)
	Checks to see if the given double precision position is within the shell's bounding box. More...

WlzErrorNum	WlzGMVertexSetG2D (WlzGMVertex *vertex, WlzDVertex2 pos)
	Sets a vertex geometry using the given double precision position. More...

WlzErrorNum	WlzGMVertexSetG2N (WlzGMVertex *vertex, WlzDVertex2 pos, WlzDVertex2 nrm)
	Sets a vertex geometry using the given double precision position and normal. More...

WlzErrorNum	WlzGMVertexSetG3D (WlzGMVertex *vertex, WlzDVertex3 pos)
	Sets a vertex geometry using the given double precision position. More...

WlzErrorNum	WlzGMVertexSetG3N (WlzGMVertex *vertex, WlzDVertex3 pos, WlzDVertex3 nrm)
	Sets a vertex geometry using the given double precision position and normal. More...

WlzErrorNum	WlzGMVertexGetG3D (WlzGMVertex vertex, WlzDVertex3 dstPos)
	Gets a veticies geometry into the given double precision position destination pointer. More...

WlzErrorNum	WlzGMVertexGetG3N (WlzGMVertex vertex, WlzDVertex3 dstPos, WlzDVertex3 *dstNrm)
	Gets a vertex geometry into the given double precision position and normaldestination pointers. If the model vertex geometry does not have normals then the normal will be {0,0,0}, the zero vector. More...

WlzErrorNum	WlzGMVertexGetG2D (WlzGMVertex vertex, WlzDVertex2 dstPos)
	Gets a veticies geometry into the given double precision position destination pointer. More...

WlzErrorNum	WlzGMVertexGetG2N (WlzGMVertex vertex, WlzDVertex2 dstPos, WlzDVertex2 *dstNrm)
	Gets a vertex geometry into the given double precision position and normal destination pointers. If the model vertex geometry does not have normals then the normal will be {0,0}, the zero vector. More...

WlzDVertex3	WlzGMVertexCmp3D (WlzGMVertex *vertex, WlzDVertex3 pos)
	Compares the position of the given vertex with the given 3D double precision position. More...

WlzDVertex2	WlzGMVertexCmp2D (WlzGMVertex *vertex, WlzDVertex2 pos)
	Compares the position of the given vertex with the given 2D double precision position. More...

int	WlzGMVertexCmpSign2D (WlzGMVertex *vertex, WlzDVertex2 pos)
	Compares the coordinates of the given vertex and 2D double precision position to find a signed value for sorting. More...

int	WlzGMVertexCmpSign3D (WlzGMVertex *vertex, WlzDVertex3 pos)
	Compares the coordinates of the given vertex and 3D double precision position to find a signed value for sorting. More...

double	WlzGMVertexDistSq3D (WlzGMVertex *vertex, WlzDVertex3 pos)
	Calculates the square of the Euclidean distance between the given vertex and the given 3D double precision position. More...

WlzDVertex3	WlzGMVertexNormal3D (WlzGMModel dummy, WlzGMVertex gV, int sVBufSz, WlzGMVertex *sVBuf, WlzErrorNum dstErr)
	Computes the value of the normal at the given vertex which lies within the given model. This function requires a buffer in which to store the vertices found on the loops surrounding the given vertex. For efficiency this can/should be reused between calls of this function. More...

double	WlzGMVertexDistSq2D (WlzGMVertex *vertex, WlzDVertex2 pos)
	Calculates the square of the Euclidean distance between the given vertex and the given 2D double precision position. More...

WlzErrorNum	WlzGMFaceGetG3D (WlzGMFace face, WlzDVertex3 dstPos0, WlzDVertex3 dstPos1, WlzDVertex3 dstPos2)
	Gets the geometry of a face. More...

WlzGMVertex *	WlzGMModelMatchVertexG3D (WlzGMModel *model, WlzDVertex3 gPos)
	Attempts to find a vertex which matches the given double precision 3D position. More...

WlzGMVertex *	WlzGMModelMatchVertexG2D (WlzGMModel *model, WlzDVertex2 gPos)
	Attempts to find a vertex which matches the given double precision 2D position. More...

double	WlzGMVertexShellDist (WlzGMVertex v0, WlzGMVertex v1, double maxDist, WlzErrorNum *dstErr)
	Computes the minimum distance between the two vertices where the path between them is constrained to the common shell, this will be negative if the two vertices are in different shells. More...

WlzErrorNum	WlzGMVerifyModel (WlzGMModel model, WlzGMElemP dstElmP)
	Verifies the given model. If the invalid element destination pointer is given then it MAY be set to point to an invalid element of the model. This function was written as an aid to debugging. More...

WlzErrorNum	WlzGMVerifyShell (WlzGMShell shell, WlzGMElemP dstElmP)
	Verifies the given shell. If the invalid element destination pointer is given then it MAY be set to point to an invalid element of the model. This function was written as an aid to debugging. More...

WlzErrorNum	WlzGMVerifyLoopT (WlzGMLoopT loopT, WlzGMElemP dstElmP)
	Verifies the given loop topology element. If the invalid element destination pointer is given then it MAY be set to point to an invalid element of the model. This function was written as an aid to debugging. More...

WlzGMEdge **	WlzGMModelFindNMEdges (WlzGMModel model, int dstNMCnt, WlzErrorNum *dstErr)
	Finds a loop topology element in common for the two edge topology elements. More...

WlzGMLoopT *	WlzGMEdgeTCommonLoopT (WlzGMEdgeT eT0, WlzGMEdgeT eT1)
	Finds a loop topology element in common for the two edge topology elements. More...

WlzGMEdge *	WlzGMVertexCommonEdge (WlzGMVertex eV0, WlzGMVertex eV1)
	Finds the edge common to the two given verticies. More...

WlzGMShell *	WlzGMVertexCommonShell (WlzGMVertex eV0, WlzGMVertex eV1)
	Finds the shell common to the two given verticies. More...

WlzGMShell *	WlzGMVertexGetShell (WlzGMVertex *eV)
	Finds the parent shell of the given vertex. More...

WlzGMShell *	WlzGMEdgeGetShell (WlzGMEdge *eE)
	Finds the parent shell of the given edge. More...

WlzGMVertex *	WlzGMEdgeCommonVertex (WlzGMEdge eE0, WlzGMEdge eE1)
	Finds the common vertex of the two given edges. More...

WlzGMVertex *	WlzGMEdgeCommonVertexGetDiskTs (WlzGMEdge eE0, WlzGMEdge eE1, WlzGMDiskT dstDT0, WlzGMDiskT dstDT1)
	Finds the common vertex of the two given edges and sets the disk topology element destination pointers if there is a common vertex. NULL*. More...

WlzGMDiskT *	WlzGMEdgeCommonDiskT (WlzGMEdge eE0, WlzGMEdge eE1)
	Finds the common disk topology element of the two given edges. More...

void	WlzGMVertexTAppend (WlzGMVertexT eVT, WlzGMVertexT nVT)
	Append new vertex topology element onto a doubly linked list of vertex topology element's, knowing that neither is NULL. Vertex topology elements are maintained in an unordered doubly linked list. More...

void	WlzGMDiskTAppend (WlzGMDiskT eDT, WlzGMDiskT nDT)
	Append new edge topology onto a doubly linked list of disk topology element's, knowing that neither is NULL. Disk topology elements are maintained in an unordered doubly linked list. More...

void	WlzGMEdgeTAppend (WlzGMEdgeT eET, WlzGMEdgeT nET)
	Append new edge topology onto a doubly linked list of edge topology element's, knowing that neither is NULL. Edge topology elements are maintained in an ordered doubly linked list, CCW around the inside of loops and CW around the outside of 2D loops. More...

void	WlzGMEdgeTInsert (WlzGMEdgeT eET, WlzGMEdgeT nET)
	Insert new edge topology into a doubly linked list of edge topology element's, knowing that neither is NULL. Edge topology elements are maintained in an ordered doubly linked list, CCW around the inside of loops and CW around the outside of 2D loops. More...

void	WlzGMEdgeTInsertRadial (WlzGMEdgeT *nET)
	Inserts the given new edge topology element into a radially sorted cyclic list of edge topology element's. More...

void	WlzGMLoopTAppend (WlzGMLoopT eLT, WlzGMLoopT nLT)
	Append new loop topology onto a doubly linked list of loop topology element's, knowing that neither is NULL. Loop topology elements are maintained in an unordered doubly linked list. More...

void	WlzGMLoopTUnlink (WlzGMLoopT *dLT)
	Unlinks the given loop topology element from a doubly linked list of loop topology element's, knowing that it is not NULL. If this is the only loop topology element in parent the parent's list of loop topology elements is set to NULL. Other elements which point to this loop topology element are not modified. More...

void	WlzGMEdgeTUnlink (WlzGMEdgeT *dET)
	Unlinks the given edge topology element from it's loop topology element and it's opposite edge topology element. The opposite edge topology element MUST be unlinked before the model is valid again. More...

void	WlzGMVertexTUnlink (WlzGMVertexT *dVT)
	Unlinks the given vertex topology element from a doubly linked list of vertex topology element's, knowing that it is not NULL. Since the parent of a vertex topology element is always an edge topology element and an edge topology element only ever uses a single vertex topology element, set the parent's vertex topology element pointer to NULL. More...

void	WlzGMDiskTUnlink (WlzGMDiskT *dDT)
	Unlinks the given disk topology element from a doubly linked list of disk topology element's, knowing that it is not NULL. If this is the only disk topology element of the vertex the vertex's list of disk topology elements is set to NULL. Other elements which point to this disk topology element are not modified. More...

void	WlzGMDiskTJoin (WlzGMDiskT gDT0, WlzGMDiskT gDT1)
	Joins the given pair of disk topology elements on return the first of the diskTs has all the vertexTs of both and the second of the diskTs should be free'd without being unlinked. More...

void	WlzGMShellAppend (WlzGMShell eS, WlzGMShell nS)
	Append new shell onto a doubly linked list of shells, knowing that neither is NULL. A model's shells are maintained in an unordered doubly linked list. More...

void	WlzGMShellUnlink (WlzGMShell *dS)
	Unlinks the given shell from a doubly linked list of shells kept by the model, knowing that the given shell ptr is not NULL. More...

void	WlzGMShellJoinAndUnlink (WlzGMShell eShell, WlzGMShell dShell)
	Joins the shell to be unlinked onto the shell that's to be extended and then unlinks (but does not free) it. Both shells must be valid. More...

WlzGMResIdxTb *	WlzGMModelResIdx (WlzGMModel model, unsigned int eMsk, WlzErrorNum dstErr)
	Makes an index look up table data structure for the given model. More...

void	WlzGMModelResIdxFree (WlzGMResIdxTb *resIdxTb)
	Frees a GM index look up table data structure. More...

WlzErrorNum	WlzGMModelRehashVHT (WlzGMModel *model, int vHTSz)
	Rehash the vertex matching hash table. More...

WlzErrorNum	WlzGMModelConstructS (WlzGMModel cM, WlzGMShell gS)
	Constructs a copy of the given shell in the current model. The curent model must be of the same type as the parent of the given shell and all the usual construction restrictions apply, see WlzGMModelConstructSimplex2D(). More...

WlzErrorNum	WlzGMModelConstructSimplex2D (WlzGMModel model, WlzDVertex2 pos)
	Constructs a 2D simplex (edge) defined by two double precision end points. Either of the two points may already exist within the model and the simplex must not intersect any existing simplex in the model. See WlzGMShellMatchVtxG2D() for the meaning of the backwards, forwards and distance search parameters. More...

WlzErrorNum	WlzGMModelConstructSimplex2N (WlzGMModel model, WlzDVertex2 pos, WlzDVertex2 *nrm)
	Constructs a 2D simplex (edge) defined by two double precision end points with normal components. Either of the two points may already exist within the model and the simplex must not intersect any existing simplex in the model. See WlzGMShellMatchVtxG2D() for the meaning of the backwards, forwards and distance search parameters. More...

WlzErrorNum	WlzGMModelConstructSimplex3D (WlzGMModel model, WlzDVertex3 pos)
	Constructs a 3D simplex (triangle) defined by three double precision verticies, any of which may already exist within the model. If a new face is created then the child loopT of that face will have edgeT's that use the given vertices in their given order. More...

WlzErrorNum	WlzGMModelConstructSimplex3N (WlzGMModel model, WlzDVertex3 pos, WlzDVertex3 *nrm)
	Constructs a 3D simplex (triangle) defined by three double precision verticies with normals, any of which may already exist within the model. If a new face is created then the child loopT of that face will have edgeT's that use the given vertices in their given order. More...

void	WlzGMModelRemVertex (WlzGMModel model, WlzGMVertex dV)
	Removes a vertex from the models vertex hash table. The vertex's geometry must have been set. More...

void	WlzGMModelAddVertexToHT (WlzGMModel model, WlzGMVertex nV)
	Adds a new vertex into the models vertex hash table. The vertex's geometry must have been set. More...

int	WlzGMShellSimplexCnt (WlzGMShell *shell)
	Counts the number of simplicies in the given shell. For 2D models the simplicies are edges and for 3D models they are loops. More...

WlzGMGridWSp3D *	WlzGeoModelGridWSpNew3D (WlzGMModel model, WlzGMElemType elemType, WlzErrorNum dstErr)
	Makes a new cell grid for the given elelemnt type in the given 3D model. See WlzGeoModelGridWSpSet3D(). More...

WlzErrorNum	WlzGeoModelGridWSpSet3D (WlzGMGridWSp3D grid, WlzGMModel model, WlzGMElemType elemType)
	Populates a 3D geometric model grid workspace from the given 3D model. Currently this function has only been implimented for when geometric models elements are faces all other types will result in and unimplimented error code. More...

WlzErrorNum	WlzGeoModelGridFree3D (WlzGMGridWSp3D *grid)
	Frees the given geometric model cell grid. More...

WlzIBox3	WlzGeoModelGridCellsInDBox (WlzGMGridWSp3D *grid, WlzDBox3 dBox)
	Computes the box of grid cells which encloses the given double box. More...

WlzGMModel *	WlzGMModelCut (WlzGMModel given, WlzGMModel knife, WlzErrorNum *dstErr)
	Creates a new geometric model from the given model such that no elements of the given model which intersect with elements in the knife model are included. While this code seems to work for simple models errors have been seen with complex models. The code for this function and those static functions that it calls should be considered "under construction". More...

WlzGMModel *	WlzGMModelCutDom (WlzGMModel given, WlzObject knife, WlzErrorNum *dstErr)
	Creates a new geometric model from the given model such that no elements of the given model which intersect with elements in the knife domain are included. More...

WlzErrorNum	WlzGMFilterRmSmShells (WlzGMModel *model, int minSpx)
	Removes small shells from the given geometric model. More...

WlzErrorNum	WlzGMFilterGeomLP (WlzGMModel *model, double kPB, double kSB, double dPB, double dSB, int maxItr, int nonMan)
	Performs a low pass filtering operation on the geometry of the model, given the band pass and band stop filter parameters. These parameters specify the transfer function of the low pass filter. More...

WlzErrorNum	WlzGMFilterGeomLPParam (double dstLambda, double dstMu, int *dstNItr, double kPB, double kSB, double dPB, double dSB)
	Computes the values of \(\lambda\) and \(\mu\) from the given low pass filter parameters \(k_{PB}\), \(k_{SB}\), \(\delta_{PB}\) and \(\delta_{SB}\). Valid filter parameters require: \(0 < k_{PB} < 1\), \(k_{PB} < k_{SB} < 2\), \(0 < \delta_{PB} < 1\) and \(0 < \delta_{SB} < 1\). If the parameters are outside of these ranges an error is returned, but these constrants are not sufficient for a good filter. Design tips are don't make the transition band too narrow (keep \(k_{PB}\) away from \(k_{SB}\)) and don't make \(\delta_{PB}\) or \(\delta_{SB}\) too small (try values of 0.1 for \(\delta_{PB}\) and \(\delta_{SB}\)). Good values for \(k_{PB}\) are probably in the range \([0.01-0.1]\). The values of \(\lambda\) and \(\mu\) in the transfer function of the filter \[ f(k) = ((1 - {\lambda}k)(1 - {\mu}k))^N \] are constrained by: \[ 0 < N \] \[ 0 < \lambda < -\mu < 1 \] \[ \lambda < \frac{1}{k_{SB}} \] \[ \frac{1}{\lambda} + \frac{1}{\mu} = k_{PB} \] \[ {\left(\frac{{(\lambda - \mu)}^2} {-4\lambda\mu}\right)}^N < 1 + \delta_{PB} \] \[ {\left(\frac{1 - \lambda k_{SB}} {1 - \mu k_{SB}}\right)}^N < \delta_{SB} \] Following Taubin's fairing paper an additional constraint is imposed \(f(1) = -f(2)\), which allows a simple algebraic solution for \(\lambda\), \(\mu\). The value of \(N\) is then computed by taking the maximum of \(N_{PB}\) and \(N_{SB}\). So the algorithm used to compute the values of \(\lambda\), \(\mu\) and \(N\) is: \[ \lambda = \frac{1}{3 k_{PB} - 5} (k_{PB} - \sqrt{k_{PB}^2 - 6 k_{PB} + 10}) \] \[ \mu = \frac{1}{3 k_{PB} - 5} (k_{PB} + \sqrt{k_{PB}^2 - 6 k_{PB} + 10}) \] \[ N_{PB} = \frac{\ln{(1 + \delta_{PB})}} {\ln{({(\lambda - \mu)}^2 (-4 \lambda \mu))}} \] \[ N_{SB} = \frac{\ln{(\delta_{SB})}} {\ln{((1 - \lambda k_{SB})(1 - \mu k_{SB}))}} \] \[ N = \max{(N_{PB}, N_{SB})} \] . More...

WlzErrorNum	WlzGMFilterGeomLPLM (WlzGMModel *model, double lambda, double mu, int nItr, int nonMan)
	Given values of \(\lambda\), \(\mu\) and the number of itterations \(N\), applies a low pass filter to the geometry of the given model. More...

int	WlzGMModelSpxStats (WlzGMModel model, double dstMin, double dstMax, double dstSum, double dstSumSq, double dstMean, double dstStdDev, WlzErrorNum dstErr)
	Calculates statistics of the simplices in the given geometric model. This can be useful for checking the quality of a given model. More...

Detailed Description

Macro Definition Documentation

#define WLZ_GM_TOLERANCE (1.0e-06)

Tolerance for geometric queries in geometric models.

Referenced by WlzGMModelAddVertexToHT(), WlzGMModelMatchVertexG2D(), WlzGMModelMatchVertexG3D(), WlzGMModelRemVertex(), WlzGMShellDndateG2D(), WlzGMShellDndateG3D(), WlzGMVertexCmpSign2D(), and WlzGMVertexCmpSign3D().

#define WLZ_GM_TOLERANCE_SQ (WLZ_GM_TOLERANCE * WLZ_GM_TOLERANCE)

Square of tolerance for geometric queries in geometric models.

Referenced by WlzGMModelConstructSimplex2N(), and WlzGMModelConstructSimplex3N().

Typedef Documentation

WlzGMCbFn

A pointer function to a function called when elements of a Woolz geometric model are either created or deleted.

Enumeration Type Documentation

enum _WlzGMModelType

Types of geometric models. Typedef: WlzGMModelType.

Enumerator
WLZ_GMMOD_2I
WLZ_GMMOD_2D
WLZ_GMMOD_3I
WLZ_GMMOD_3D
WLZ_GMMOD_2N
WLZ_GMMOD_3N

enum _WlzGMElemType

Types of geometric model elements. Typedef: WlzGMElemType.

Enumerator
WLZ_GMELM_NONE
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

enum _WlzGMElemTypeFlags

Bit masks for the types of geometric model elements. Typedef: WlzGMElemTypeFlags.

Enumerator
WLZ_GMELMFLG_VERTEX
WLZ_GMELMFLG_VERTEX_G
WLZ_GMELMFLG_VERTEX_T
WLZ_GMELMFLG_DISK_T
WLZ_GMELMFLG_EDGE
WLZ_GMELMFLG_EDGE_T
WLZ_GMELMFLG_FACE
WLZ_GMELMFLG_LOOP_T
WLZ_GMELMFLG_SHELL
WLZ_GMELMFLG_SHELL_G

enum _WlzGMCbReason

The reason a callback function is called. Typedef: WlzGMCbReason.

Enumerator
WLZ_GMCB_NEW	New element has been created.
WLZ_GMCB_FREE	Existing element is about to be free'd.

enum _WlzLBTNodeFlags

The reason a callback function is called. Typedef: WlzGMCbReason.

Enumerator
WLZ_LBT_NODE_FLAG_NONE
WLZ_LBT_NODE_FLAG_BOUNDARY	Node is adjacent to the objects boundary.

Function Documentation

WlzErrorNum WlzGMModelAddResCb	(	WlzGMModel *	model,
		WlzGMCbFn	fn,
		void *	data
	)

Add a resource allocation callback to the models resources.

Returns: Woolz error code.

Parameters

model	The model.
fn	The callback function.
data	The callback data to be passed on to the callback function.

References AlcMalloc(), _WlzGMModelR::callbacks, _WlzGMCbEntry::data, _WlzGMCbEntry::fn, _WlzGMCbEntry::next, _WlzGMModel::res, WLZ_ERR_MEM_ALLOC, and WLZ_ERR_NONE.

Referenced by WlzMatchICPCtr().

void WlzGMModelRemResCb	(	WlzGMModel *	model,
		WlzGMCbFn	fn,
		void *	data
	)

Removes a resource allocation callback from the models resources. Both the callback function and callback data must have the same values as when the callback was added since they are used to find the corresponding callback entry.

Returns: void

Parameters

model	The model.
fn	The callback function.
data	The callback data.

References AlcFree(), _WlzGMModelR::callbacks, _WlzGMElemP::core, _WlzGMCbEntry::data, _WlzGMCbEntry::fn, _WlzGMCbEntry::next, and _WlzGMModel::res.

Referenced by WlzMatchICPCtr().

WlzGMModel* WlzGMModelNew	(	WlzGMModelType	modType,
		int	blkSz,
		int	vHTSz,
		WlzErrorNum *	dstErr
	)

Creates an empty non-manifold geometry model.

Returns: New empty model.

Parameters

modType	Type of model to create.
blkSz	Resource block size, used for allocating storage for model elements. A default size is used if <= 0.
vHTSz	Vertex matching hash table size, A default size is used if <= 0.
dstErr	Destination error pointer, may be null.

References AlcCalloc(), AlcVectorNew(), _WlzGMModelR::diskT, _WlzGMModelR::edge, _WlzGMModelR::edgeT, _WlzGMModelR::face, _WlzGMModelR::loopT, _WlzGMModel::res, _WlzGMModelR::shell, _WlzGMModelR::shellG, _WlzGMModel::type, _WlzGMResource::vec, _WlzGMModelR::vertex, _WlzGMModelR::vertexG, _WlzGMModel::vertexHT, _WlzGMModel::vertexHTSz, _WlzGMModelR::vertexT, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_MEM_ALLOC, WLZ_ERR_NONE, WLZ_GMMOD_2D, WLZ_GMMOD_2I, WLZ_GMMOD_2N, WLZ_GMMOD_3D, WLZ_GMMOD_3I, WLZ_GMMOD_3N, and WlzGMModelFree().

Referenced by WlzCMeshFlatten2D5(), WlzContourFromPoints(), WlzContourGrdObj2D(), WlzContourRBFBndObj3D(), WlzEffReadObjObj(), WlzEffReadObjPly2(), WlzEffReadObjSMesh(), WlzEffReadObjStl(), WlzEffWritePointsVtkFieldValues(), WlzGetSectionFromGMModel(), WlzGMModelCopy(), WlzGMModelCut(), WlzGMModelCutDom(), WlzGMModelNewFromS(), WlzObjToConvexPolygon(), and WlzReadObj().

WlzGMShell* WlzGMModelNewS	(	WlzGMModel *	model,
		WlzErrorNum *	dstErr
	)

Creates an empty shell with a shell geometry element for the model.

Returns: New empty shell.

Parameters

model	The geometric model.
dstErr	Destination error pointer, may be null.

References AlcVectorExtendAndGet(), _WlzGMShellGU::core, _WlzGMShell::geo, _WlzGMCore::idx, _WlzGMShell::idx, _WlzGMResource::numElm, _WlzGMResource::numIdx, _WlzGMModel::res, _WlzGMElemP::shell, _WlzGMModelR::shell, _WlzGMModelR::shellG, _WlzGMCore::type, _WlzGMShell::type, _WlzGMResource::vec, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_MEM_ALLOC, WLZ_ERR_NONE, WLZ_GMCB_NEW, WLZ_GMELM_SHELL, WlzGMModelFreeS(), and WlzGMModelGetSGeomType().

Referenced by WlzGMModelConstructS(), and WlzGMModelDeleteV().

WlzGMFace* WlzGMModelNewF	(	WlzGMModel *	model,
		WlzErrorNum *	dstErr
	)

Creates an empty face.

Returns: New face.

Parameters

model	Parent model.
dstErr	Destination error pointer, may be null.

References AlcVectorExtendAndGet(), _WlzGMElemP::face, _WlzGMModelR::face, _WlzGMFace::idx, _WlzGMResource::numElm, _WlzGMResource::numIdx, _WlzGMModel::res, _WlzGMFace::type, _WlzGMResource::vec, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_MEM_ALLOC, WLZ_ERR_NONE, WLZ_GMCB_NEW, and WLZ_GMELM_FACE.

Referenced by WlzGMModelConstructS().

WlzGMLoopT* WlzGMModelNewLT	(	WlzGMModel *	model,
		WlzErrorNum *	dstErr
	)

Creates a loop topology element.

Returns: New loop topology element.

Parameters

model	Parent model.
dstErr	Destination error pointer, may be null.

References AlcVectorExtendAndGet(), _WlzGMElemP::diskT, _WlzGMModelR::diskT, _WlzGMDiskT::idx, _WlzGMLoopT::idx, _WlzGMElemP::loopT, _WlzGMModelR::loopT, _WlzGMResource::numElm, _WlzGMResource::numIdx, _WlzGMModel::res, _WlzGMDiskT::type, _WlzGMLoopT::type, _WlzGMResource::vec, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_MEM_ALLOC, WLZ_ERR_NONE, WLZ_GMCB_NEW, WLZ_GMELM_DISK_T, WLZ_GMELM_LOOP_T, and WlzGMModelFreeDT().

Referenced by WlzGMModelConstructS(), and WlzGMModelDeleteV().

WlzGMEdge* WlzGMModelNewE	(	WlzGMModel *	model,
		WlzErrorNum *	dstErr
	)

Creates a new edge. The edge geometry element only has it's index set to a meaningful value.

Returns: New edge.

Parameters

model	Model with resources.
dstErr	Destination error pointer, may be null.

References AlcVectorExtendAndGet(), _WlzGMElemP::edge, _WlzGMModelR::edge, _WlzGMEdge::idx, _WlzGMResource::numElm, _WlzGMResource::numIdx, _WlzGMModel::res, _WlzGMEdge::type, _WlzGMResource::vec, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_MEM_ALLOC, WLZ_ERR_NONE, WLZ_GMCB_NEW, and WLZ_GMELM_EDGE.

Referenced by WlzGMModelConstructS().

WlzGMEdgeT* WlzGMModelNewET	(	WlzGMModel *	model,
		WlzErrorNum *	dstErr
	)

Creates a new edge topology element.

Returns: New edge topology element.

Parameters

model	Model with resources.
dstErr	Destination error pointer, may be null.

References AlcVectorExtendAndGet(), _WlzGMElemP::edgeT, _WlzGMModelR::edgeT, _WlzGMEdgeT::idx, _WlzGMResource::numElm, _WlzGMResource::numIdx, _WlzGMModel::res, _WlzGMEdgeT::type, _WlzGMResource::vec, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_MEM_ALLOC, WLZ_ERR_NONE, WLZ_GMCB_NEW, and WLZ_GMELM_EDGE_T.

Referenced by WlzGMModelConstructS().

WlzGMVertex* WlzGMModelNewV	(	WlzGMModel *	model,
		WlzErrorNum *	dstErr
	)

Creates a new vertex and a vertex geometry element. The vertex geometry element only has it's index set to a meaningful value.

Returns: New vertex.

Parameters

model	Model with resources.
dstErr	Destination error pointer, may be null.

References AlcVectorExtendAndGet(), _WlzGMVertexGU::core, _WlzGMVertex::geo, _WlzGMCore::idx, _WlzGMVertex::idx, _WlzGMResource::numElm, _WlzGMResource::numIdx, _WlzGMModel::res, _WlzGMCore::type, _WlzGMVertex::type, _WlzGMResource::vec, _WlzGMElemP::vertex, _WlzGMModelR::vertex, _WlzGMModelR::vertexG, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_MEM_ALLOC, WLZ_ERR_NONE, WLZ_GMCB_NEW, WLZ_GMELM_VERTEX, WlzGMModelFreeV(), and WlzGMModelGetVGeomType().

Referenced by WlzGMModelConstructSimplex2N(), and WlzGMModelConstructSimplex3N().

WlzGMVertexT* WlzGMModelNewVT	(	WlzGMModel *	model,
		WlzErrorNum *	dstErr
	)

Creates a new vertex topology element.

Returns: New vertex topology element.

Parameters

model	Model with resources.
dstErr	Destination error pointer, may be null.

References AlcVectorExtendAndGet(), _WlzGMVertexT::idx, _WlzGMResource::numElm, _WlzGMResource::numIdx, _WlzGMModel::res, _WlzGMVertexT::type, _WlzGMResource::vec, _WlzGMElemP::vertexT, _WlzGMModelR::vertexT, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_MEM_ALLOC, WLZ_ERR_NONE, WLZ_GMCB_NEW, and WLZ_GMELM_VERTEX_T.

Referenced by WlzGMModelConstructS().

WlzGMModel* WlzGMModelNewFromS	(	WlzGMShell *	gS,
		WlzErrorNum *	dstErr
	)

Creates a new model from the given shell. The new model contains a copy of the given shell.

Returns: New model.

Parameters

gS	Given shell.
dstErr	Destination error pointer, may be null.

References _WlzGMShell::parent, _WlzGMModel::type, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_NONE, WlzGMModelConstructS(), and WlzGMModelNew().

Referenced by WlzMatchICPWeightMatches().

WlzGMModel* WlzGMModelCopy	(	WlzGMModel *	gM,
		WlzErrorNum *	dstErr
	)

Copies the given model. Because all unused elements are squeezed out, the indicies of the elements may not be equal in the two models.

Returns: New copy of the given model.

Parameters

gM	Given model.
dstErr	Destination error pointer, may be null.

References AlcVectorExtendAndGet(), AlcVectorItemGet(), _WlzGMShellG2I::bBox, _WlzGMShellG2D::bBox, _WlzGMShellG3I::bBox, _WlzGMShellG3D::bBox, _WlzGMShell::child, _WlzGMModel::child, _WlzGMElemP::core, _WlzGMVertexGU::core, _WlzGMShellGU::core, _WlzGMElemP::diskT, _WlzGMVertexT::diskT, _WlzGMVertex::diskT, _WlzGMModelR::diskT, _WlzGMResIdxTb::diskT, _WlzGMElemP::edge, _WlzGMEdgeT::edge, _WlzGMModelR::edge, _WlzGMResIdxTb::edge, _WlzGMElemP::edgeT, _WlzGMEdge::edgeT, _WlzGMLoopT::edgeT, _WlzGMModelR::edgeT, _WlzGMResIdxTb::edgeT, _WlzGMElemP::face, _WlzGMLoopT::face, _WlzGMModelR::face, _WlzGMResIdxTb::face, _WlzGMVertex::geo, _WlzGMShell::geo, _WlzGMCore::idx, _WlzGMVertexT::idx, _WlzGMVertex::idx, _WlzGMDiskT::idx, _WlzGMEdgeT::idx, _WlzGMEdge::idx, _WlzGMLoopT::idx, _WlzGMFace::idx, _WlzGMShell::idx, _WlzGMResIdx::idxLut, _WlzGMElemP::loopT, _WlzGMFace::loopT, _WlzGMModelR::loopT, _WlzGMResIdxTb::loopT, _WlzGMVertexT::next, _WlzGMVertex::next, _WlzGMDiskT::next, _WlzGMEdgeT::next, _WlzGMLoopT::next, _WlzGMShell::next, _WlzGMVertexG2N::nrm, _WlzGMVertexG3N::nrm, _WlzGMResource::numElm, _WlzGMResource::numIdx, _WlzGMEdgeT::opp, _WlzGMLoopT::opp, _WlzGMVertexT::parent, _WlzGMEdgeT::parent, _WlzGMLoopT::parent, _WlzGMShell::parent, _WlzGMVertexT::prev, _WlzGMDiskT::prev, _WlzGMEdgeT::prev, _WlzGMLoopT::prev, _WlzGMShell::prev, _WlzGMEdgeT::rad, _WlzGMModel::res, _WlzGMElemP::shell, _WlzGMModelR::shell, _WlzGMResIdxTb::shell, _WlzGMModelR::shellG, _WlzGMResIdxTb::shellG, _WlzGMElemP::shellG2D, _WlzGMElemP::shellG2I, _WlzGMElemP::shellG3D, _WlzGMElemP::shellG3I, _WlzGMCore::type, _WlzGMModel::type, _WlzGMResource::vec, _WlzGMElemP::vertex, _WlzGMDiskT::vertex, _WlzGMModelR::vertex, _WlzGMResIdxTb::vertex, _WlzGMModelR::vertexG, _WlzGMResIdxTb::vertexG, _WlzGMElemP::vertexG2D, _WlzGMElemP::vertexG2I, _WlzGMElemP::vertexG2N, _WlzGMElemP::vertexG3D, _WlzGMElemP::vertexG3I, _WlzGMElemP::vertexG3N, _WlzGMElemP::vertexT, _WlzGMDiskT::vertexT, _WlzGMEdgeT::vertexT, _WlzGMModelR::vertexT, _WlzGMResIdxTb::vertexT, _WlzGMVertexG2I::vtx, _WlzGMVertexG2D::vtx, _WlzGMVertexG2N::vtx, _WlzGMVertexG3I::vtx, _WlzGMVertexG3D::vtx, _WlzGMVertexG3N::vtx, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_MEM_ALLOC, WLZ_ERR_NONE, WLZ_GMELM_SHELL_G2D, WLZ_GMELM_SHELL_G2I, WLZ_GMELM_SHELL_G3D, WLZ_GMELM_SHELL_G3I, WLZ_GMELM_VERTEX, WLZ_GMELM_VERTEX_G2D, WLZ_GMELM_VERTEX_G2I, WLZ_GMELM_VERTEX_G2N, WLZ_GMELM_VERTEX_G3D, WLZ_GMELM_VERTEX_G3I, WLZ_GMELM_VERTEX_G3N, WLZ_GMELMFLG_DISK_T, WLZ_GMELMFLG_EDGE, WLZ_GMELMFLG_EDGE_T, WLZ_GMELMFLG_FACE, WLZ_GMELMFLG_LOOP_T, WLZ_GMELMFLG_SHELL, WLZ_GMELMFLG_SHELL_G, WLZ_GMELMFLG_VERTEX, WLZ_GMELMFLG_VERTEX_G, WLZ_GMELMFLG_VERTEX_T, WlzGMModelFree(), WlzGMModelGetDimension(), WlzGMModelNew(), WlzGMModelRehashVHT(), WlzGMModelResIdx(), and WlzGMModelResIdxFree().

Referenced by WlzAffineTransformGMModel(), WlzBasisFnTransformGMModel(), WlzCMeshTransformManyObjAsIdx(), and WlzCopyDomain().

WlzErrorNum WlzGMModelFree ( WlzGMModel * model )

Free's a geometric model and it's elements.

Returns: Woolz error code.

Parameters

model The shell to free.

References AlcFree(), AlcVectorFree(), _WlzGMModelR::diskT, _WlzGMModelR::edge, _WlzGMModelR::edgeT, _WlzGMModelR::face, _WlzGMModelR::loopT, _WlzGMModel::res, _WlzGMModelR::shell, _WlzGMModelR::shellG, _WlzGMModel::type, _WlzGMResource::vec, _WlzGMModelR::vertex, _WlzGMModelR::vertexG, _WlzGMModel::vertexHT, _WlzGMModelR::vertexT, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_NONE, and WlzGMModelTypeValid().

Referenced by WlzCMeshFlatten2D5(), WlzEffReadObjObj(), WlzEffReadObjPly2(), WlzEffReadObjSMesh(), WlzEffReadObjStl(), WlzEffWritePointsVtkFieldValues(), WlzFreeContour(), WlzGetMaskedSectionFromObject(), WlzGetSectionFromGMModel(), WlzGMModelCopy(), WlzGMModelCut(), WlzGMModelCutDom(), WlzGMModelNew(), and WlzObjToConvexPolygon().

WlzErrorNum WlzGMModelFreeS	(	WlzGMModel *	model,
		WlzGMShell *	shell
	)

Marks a shell and it's geometry as invalid and suitable for reclaiming.

Returns: Woolz error code.

Parameters

model	Model with resources.
shell	Shell to free.

References _WlzGMShellGU::core, _WlzGMShell::geo, _WlzGMCore::idx, _WlzGMShell::idx, _WlzGMResource::numElm, _WlzGMModel::res, _WlzGMElemP::shell, _WlzGMModelR::shell, _WlzGMModelR::shellG, _WlzGMModel::type, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_NONE, WLZ_GMCB_FREE, and WlzGMModelTypeValid().

Referenced by WlzGMModelConstructS(), WlzGMModelDeleteS(), and WlzGMModelNewS().

WlzErrorNum WlzGMModelFreeF	(	WlzGMModel *	model,
		WlzGMFace *	face
	)

Marks a face as invalid and suitable for reclaiming.

Returns: Woolz error code.

Parameters

model	Model with resources.
face	Face to free.

References _WlzGMElemP::face, _WlzGMModelR::face, _WlzGMFace::idx, _WlzGMResource::numElm, _WlzGMModel::res, _WlzGMModel::type, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_NONE, WLZ_GMCB_FREE, and WlzGMModelTypeValid().

Referenced by WlzGMModelDeleteS().

WlzErrorNum WlzGMModelFreeLT	(	WlzGMModel *	model,
		WlzGMLoopT *	loopT
	)

Marks a loop topology as invalid and suitable for reclaiming.

Returns: Woolz error code.

Parameters

model	Model with resources.
loopT	LoopT to free.

References _WlzGMLoopT::idx, _WlzGMElemP::loopT, _WlzGMModelR::loopT, _WlzGMResource::numElm, _WlzGMModel::res, _WlzGMModel::type, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_NONE, WLZ_GMCB_FREE, and WlzGMModelTypeValid().

Referenced by WlzGMModelConstructS(), WlzGMModelDeleteS(), and WlzGMModelDeleteV().

WlzErrorNum WlzGMModelFreeDT	(	WlzGMModel *	model,
		WlzGMDiskT *	diskT
	)

Marks an disk topology as invalid and suitable for reclaiming.

Returns: Woolz error code.

Parameters

model	Model with resources.
diskT	DiskT to free.

References _WlzGMElemP::diskT, _WlzGMModelR::diskT, _WlzGMDiskT::idx, _WlzGMResource::numElm, _WlzGMModel::res, _WlzGMModel::type, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_NONE, WLZ_GMCB_FREE, and WlzGMModelTypeValid().

Referenced by WlzGMModelConstructS(), WlzGMModelDeleteS(), WlzGMModelDeleteV(), and WlzGMModelNewLT().

WlzErrorNum WlzGMModelFreeE	(	WlzGMModel *	model,
		WlzGMEdge *	edge
	)

Marks an edge as invalid and suitable for reclaiming.

Returns: Woolz error code.

Parameters

model	Model with resources.
edge	Edge to free.

References _WlzGMElemP::edge, _WlzGMModelR::edge, _WlzGMEdge::idx, _WlzGMResource::numElm, _WlzGMModel::res, _WlzGMModel::type, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_NONE, WLZ_GMCB_FREE, and WlzGMModelTypeValid().

Referenced by WlzGMModelDeleteS(), and WlzGMModelDeleteV().

WlzErrorNum WlzGMModelFreeET	(	WlzGMModel *	model,
		WlzGMEdgeT *	edgeT
	)

Marks an edge topology as invalid and suitable for reclaiming.

Returns: Woolz error code.

Parameters

model	Model with resources.
edgeT	EdgeT to free.

References _WlzGMElemP::edgeT, _WlzGMModelR::edgeT, _WlzGMEdgeT::idx, _WlzGMResource::numElm, _WlzGMModel::res, _WlzGMModel::type, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_NONE, WLZ_GMCB_FREE, and WlzGMModelTypeValid().

Referenced by WlzGMModelDeleteS(), and WlzGMModelDeleteV().

WlzErrorNum WlzGMModelFreeV	(	WlzGMModel *	model,
		WlzGMVertex *	vertex
	)

Marks a vertex and it's geometry as invalid and suitable for reclaiming. Watch out that vertices remain in the hash table after being free'd.

Returns: Woolz error code.

Parameters

model	Model with resources.
vertex	Vertex to free.

References _WlzGMVertexGU::core, _WlzGMVertex::geo, _WlzGMCore::idx, _WlzGMVertex::idx, _WlzGMResource::numElm, _WlzGMModel::res, _WlzGMModel::type, _WlzGMElemP::vertex, _WlzGMModelR::vertex, _WlzGMModelR::vertexG, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_NONE, WLZ_GMCB_FREE, and WlzGMModelTypeValid().

Referenced by WlzGMModelDeleteS(), WlzGMModelDeleteV(), and WlzGMModelNewV().

WlzErrorNum WlzGMModelFreeVT	(	WlzGMModel *	model,
		WlzGMVertexT *	vertexT
	)

Marks a vertex topology as invalid and suitable for reclaiming.

Returns: Woolz error code.

Parameters

model	Model with resources.
vertexT	VertexT to free.

References _WlzGMVertexT::idx, _WlzGMResource::numElm, _WlzGMModel::res, _WlzGMModel::type, _WlzGMElemP::vertexT, _WlzGMModelR::vertexT, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_NONE, WLZ_GMCB_FREE, and WlzGMModelTypeValid().

Referenced by WlzGMModelDeleteS(), and WlzGMModelDeleteV().

WlzErrorNum WlzGMModelDeleteS	(	WlzGMModel *	model,
		WlzGMShell *	dS
	)

Deletes a shell by unlinking it and then freeing it and all it's children.

Returns: Woolz error code.

Parameters

model	Model with resources.
dS	Shell to delete.

References _WlzGMShell::child, _WlzGMVertexT::diskT, _WlzGMEdgeT::edge, _WlzGMLoopT::edgeT, _WlzGMLoopT::face, _WlzGMLoopT::idx, _WlzGMShell::idx, _WlzGMEdgeT::next, _WlzGMLoopT::next, _WlzGMDiskT::vertex, _WlzGMEdgeT::vertexT, WLZ_ERR_NONE, WlzGMModelFreeDT(), WlzGMModelFreeE(), WlzGMModelFreeET(), WlzGMModelFreeF(), WlzGMModelFreeLT(), WlzGMModelFreeS(), WlzGMModelFreeV(), WlzGMModelFreeVT(), and WlzGMShellUnlink().

Referenced by WlzGeometryTrackUpAndDown_s(), WlzGMFilterRmSmShells(), WlzGMModelDeleteV(), WlzMatchICPCtr(), and WlzMatchICPWeightMatches().

WlzErrorNum WlzGMModelDeleteV	(	WlzGMModel *	model,
		WlzGMVertex *	dV
	)

Deletes a vertex along with all the elements which depend on it. All elements which depend on the vertex are unlinked and then freed. If the vertex's parents were to depend only on the vertex then they would be free'd too as the Woolz geometric models can not hold an isolated vertex. The basic algorithm used is: Build a collection of edges which use the vertex and then delete all edges in the collection. If there are no edges (in the collection) then just unlink and free the vertex. The geometries of the existing and new shells will be valid on return.

Returns: Woolz error code.

Todo:: This only works for 2D models, it needs to be extend to 3D models.

Parameters

model	Model with resources.
dV	The vertex to delete.

References AlcFree(), AlcRealloc(), _WlzGMShell::child, _WlzGMVertexT::diskT, _WlzGMVertex::diskT, _WlzGMEdgeT::edge, _WlzGMEdge::edgeT, _WlzGMLoopT::edgeT, _WlzGMVertex::idx, _WlzGMVertexT::next, _WlzGMDiskT::next, _WlzGMEdgeT::next, _WlzGMLoopT::next, _WlzGMShell::next, _WlzGMEdgeT::opp, _WlzGMLoopT::opp, _WlzGMVertexT::parent, _WlzGMEdgeT::parent, _WlzGMLoopT::parent, _WlzGMShell::parent, _WlzGMEdgeT::prev, _WlzGMLoopT::prev, _WlzGMShell::prev, _WlzGMDiskT::vertex, _WlzGMDiskT::vertexT, _WlzGMEdgeT::vertexT, WLZ_ERR_MEM_ALLOC, WLZ_ERR_NONE, WlzGMLoopTUnlink(), WlzGMModelDeleteE(), WlzGMModelDeleteS(), WlzGMModelFreeDT(), WlzGMModelFreeE(), WlzGMModelFreeET(), WlzGMModelFreeLT(), WlzGMModelFreeV(), WlzGMModelFreeVT(), WlzGMModelNewLT(), WlzGMModelNewS(), WlzGMShellAppend(), WlzGMShellComputeGBB(), WlzGMShellDndateG2D(), WlzGMVertexGetG2D(), and WlzGMVertexTUnlink().

Referenced by nrerror(), WlzGeometryTrackUpAndDown_s(), and WlzMatchICPWeightMatches().

int WlzGMModelGetDimension	(	WlzGMModel *	model,
		WlzErrorNum *	dstErr
	)

Gets the models dimension from the model's type.

Returns: The model's dimension, either 2 or 3.

Parameters

model	The model.
dstErr	Destination error pointer, may be null.

References _WlzGMModel::type, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_NONE, WLZ_GMMOD_2D, WLZ_GMMOD_2I, WLZ_GMMOD_2N, WLZ_GMMOD_3D, WLZ_GMMOD_3I, and WLZ_GMMOD_3N.

Referenced by WlzAffineTransformGMShell(), WlzGMFilterGeomLPLM(), WlzGMModelConstructS(), WlzGMModelCopy(), WlzGMModelCutDom(), WlzGMModelResIdx(), WlzGMShellSimplexCnt(), and WlzGMVertexShellDist().

WlzErrorNum WlzGMModelTypeValid ( WlzGMModelType type )

Checks the model type is valid.

Returns: Woolz error code.

Parameters

type	Model type to check.

References WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_NONE, WLZ_GMMOD_2D, WLZ_GMMOD_2I, WLZ_GMMOD_2N, WLZ_GMMOD_3D, WLZ_GMMOD_3I, and WLZ_GMMOD_3N.

Referenced by WlzGMModelFree(), WlzGMModelFreeDT(), WlzGMModelFreeE(), WlzGMModelFreeET(), WlzGMModelFreeF(), WlzGMModelFreeLT(), WlzGMModelFreeS(), WlzGMModelFreeV(), WlzGMModelFreeVT(), and WlzGMVerifyModel().

WlzGMResource* WlzGMModelGetRes	(	WlzGMModel *	model,
		WlzGMElemType	elemType,
		WlzErrorNum *	dstErr
	)

Gets the resources for the given element type in the given model.

Returns: Pointer to the appropriate resources or NULL on error.

Parameters

model	Given model.
elemType	Given element type.
dstErr	Destination error pointer, may be NULL.

References _WlzGMModelR::diskT, _WlzGMModelR::edge, _WlzGMModelR::edgeT, _WlzGMModelR::face, _WlzGMModelR::loopT, _WlzGMModel::res, _WlzGMModelR::shell, _WlzGMModelR::shellG, _WlzGMModelR::vertex, _WlzGMModelR::vertexG, _WlzGMModelR::vertexT, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_NONE, WLZ_ERR_PARAM_TYPE, WLZ_GMELM_DISK_T, WLZ_GMELM_EDGE, WLZ_GMELM_EDGE_T, WLZ_GMELM_FACE, WLZ_GMELM_LOOP_T, WLZ_GMELM_SHELL, WLZ_GMELM_SHELL_G3D, WLZ_GMELM_SHELL_G3I, WLZ_GMELM_VERTEX, WLZ_GMELM_VERTEX_G3D, WLZ_GMELM_VERTEX_G3I, WLZ_GMELM_VERTEX_G3N, and WLZ_GMELM_VERTEX_T.

Referenced by WlzGeoModelGridWSpNew3D(), and WlzGeoModelGridWSpSet3D().

WlzGMElemType WlzGMModelGetSGeomType ( WlzGMModel * model )

Gets the shell's geometry type from the model's type.

Returns: Shell's geometry type.

Parameters

model The model.

References _WlzGMModel::type, WLZ_GMELM_NONE, WLZ_GMELM_SHELL_G2D, WLZ_GMELM_SHELL_G2I, WLZ_GMELM_SHELL_G3D, WLZ_GMELM_SHELL_G3I, WLZ_GMMOD_2D, WLZ_GMMOD_2I, WLZ_GMMOD_2N, WLZ_GMMOD_3D, WLZ_GMMOD_3I, and WLZ_GMMOD_3N.

Referenced by WlzGMModelNewS().

WlzGMElemType WlzGMModelGetVGeomType ( WlzGMModel * model )

Gets the verticies geometry type from the model's type.

Returns: Shell's geometry type.

Parameters

model The model.

References _WlzGMModel::type, WLZ_GMELM_NONE, WLZ_GMELM_VERTEX_G2D, WLZ_GMELM_VERTEX_G2I, WLZ_GMELM_VERTEX_G2N, WLZ_GMELM_VERTEX_G3D, WLZ_GMELM_VERTEX_G3I, WLZ_GMELM_VERTEX_G3N, WLZ_GMMOD_2D, WLZ_GMMOD_2I, WLZ_GMMOD_2N, WLZ_GMMOD_3D, WLZ_GMMOD_3I, and WLZ_GMMOD_3N.

Referenced by WlzGMModelNewV().

WlzErrorNum WlzGMShellGetGBB3D	(	WlzGMShell *	shell,
		WlzDBox3 *	bBox
	)

Gets a shell's geometry using the given destination pointer to a double precision bounding box.

Returns: Woolz error code.

Parameters

shell	Given shell with geometry to be set.
bBox	Given destination pointer to a double precision bounding box.

References _WlzGMShellG2I::bBox, _WlzGMShellG2D::bBox, _WlzGMShellG3I::bBox, _WlzGMShellG3D::bBox, _WlzGMShellGU::core, _WlzGMShell::geo, _WlzGMShellGU::sg2D, _WlzGMShellGU::sg2I, _WlzGMShellGU::sg3D, _WlzGMShellGU::sg3I, _WlzGMCore::type, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_NONE, WLZ_ERR_PARAM_NULL, WLZ_GMELM_SHELL_G2D, WLZ_GMELM_SHELL_G2I, WLZ_GMELM_SHELL_G3D, WLZ_GMELM_SHELL_G3I, _WlzIBox2::xMax, _WlzDBox2::xMax, _WlzIBox3::xMax, _WlzDBox3::xMax, _WlzIBox2::xMin, _WlzDBox2::xMin, _WlzIBox3::xMin, _WlzDBox3::xMin, _WlzIBox2::yMax, _WlzDBox2::yMax, _WlzIBox3::yMax, _WlzDBox3::yMax, _WlzIBox2::yMin, _WlzDBox2::yMin, _WlzIBox3::yMin, _WlzDBox3::yMin, _WlzIBox3::zMax, _WlzDBox3::zMax, _WlzIBox3::zMin, and _WlzDBox3::zMin.

Referenced by WlzBoundingBoxGModel3D(), WlzGetSectionFromGMModel(), and WlzGMShellGetGBBV3D().

WlzErrorNum WlzGMShellGetGBBV3D	(	WlzGMShell *	shell,
		double *	vol
	)

Gets the volume of the shell's geometry's bounding box.

Returns: Woolz error code.

Parameters

shell	Given shell with geometry to be set.
vol	Given destination pointer for the volume.

References WLZ_ERR_NONE, WLZ_ERR_PARAM_NULL, WlzGMShellGetGBB3D(), _WlzDBox3::xMax, _WlzDBox3::xMin, _WlzDBox3::yMax, _WlzDBox3::yMin, _WlzDBox3::zMax, and _WlzDBox3::zMin.

Referenced by WlzGMModelConstructS().

WlzErrorNum WlzGMShellGetGBB2D	(	WlzGMShell *	shell,
		WlzDBox2 *	bBox
	)

Gets a shell's geometry using the given destination pointer to a double precision bounding box.

Returns: Woolz error code.

Parameters

shell	Given shell with geometry to be set.
bBox	Given destination pointer to a double precision bounding box.

References _WlzGMShellG2I::bBox, _WlzGMShellG2D::bBox, _WlzGMShellG3I::bBox, _WlzGMShellG3D::bBox, _WlzGMShellGU::core, _WlzGMShell::geo, _WlzGMShellGU::sg2D, _WlzGMShellGU::sg2I, _WlzGMShellGU::sg3D, _WlzGMShellGU::sg3I, _WlzGMCore::type, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_NONE, WLZ_ERR_PARAM_NULL, WLZ_GMELM_SHELL_G2D, WLZ_GMELM_SHELL_G2I, WLZ_GMELM_SHELL_G3D, WLZ_GMELM_SHELL_G3I, _WlzIBox2::xMax, _WlzDBox2::xMax, _WlzIBox3::xMax, _WlzDBox3::xMax, _WlzIBox2::xMin, _WlzDBox2::xMin, _WlzIBox3::xMin, _WlzDBox3::xMin, _WlzIBox2::yMax, _WlzDBox2::yMax, _WlzIBox3::yMax, _WlzDBox3::yMax, _WlzIBox2::yMin, _WlzDBox2::yMin, _WlzIBox3::yMin, and _WlzDBox3::yMin.

Referenced by WlzBoundingBoxGModel2D().

WlzErrorNum WlzGMShellSetGBB3D	(	WlzGMShell *	shell,
		WlzDBox3	bBox
	)

Sets a shell's geometry using the given double precision bounding box.

Returns: Woolz error code.

Parameters

shell	Given shell with geometry to be set.
bBox	Given double precision bounding box.

References _WlzGMShellG2I::bBox, _WlzGMShellG2D::bBox, _WlzGMShellG3I::bBox, _WlzGMShellG3D::bBox, _WlzGMShellGU::core, _WlzGMShell::geo, _WlzGMShellGU::sg2D, _WlzGMShellGU::sg2I, _WlzGMShellGU::sg3D, _WlzGMShellGU::sg3I, _WlzGMCore::type, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_NONE, WLZ_GMELM_SHELL_G2D, WLZ_GMELM_SHELL_G2I, WLZ_GMELM_SHELL_G3D, WLZ_GMELM_SHELL_G3I, WLZ_NINT, _WlzIBox2::xMax, _WlzDBox2::xMax, _WlzIBox3::xMax, _WlzDBox3::xMax, _WlzIBox2::xMin, _WlzDBox2::xMin, _WlzIBox3::xMin, _WlzDBox3::xMin, _WlzIBox2::yMax, _WlzDBox2::yMax, _WlzIBox3::yMax, _WlzDBox3::yMax, _WlzIBox2::yMin, _WlzDBox2::yMin, _WlzIBox3::yMin, _WlzDBox3::yMin, _WlzIBox3::zMax, _WlzDBox3::zMax, _WlzIBox3::zMin, and _WlzDBox3::zMin.

Referenced by WlzGMShellSetG3D().

WlzErrorNum WlzGMShellSetGBB2D	(	WlzGMShell *	shell,
		WlzDBox2	bBox
	)

Sets a shell's geometry using the given double precision bounding box.

Returns: Woolz error code.

Parameters

shell	Given shell with geometry to be set.
bBox	Given double precision bounding box.

References _WlzGMShellG2I::bBox, _WlzGMShellG2D::bBox, _WlzGMShellG3I::bBox, _WlzGMShellG3D::bBox, _WlzGMShellGU::core, _WlzGMShell::geo, _WlzGMShellGU::sg2D, _WlzGMShellGU::sg2I, _WlzGMShellGU::sg3D, _WlzGMShellGU::sg3I, _WlzGMCore::type, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_NONE, WLZ_GMELM_SHELL_G2D, WLZ_GMELM_SHELL_G2I, WLZ_GMELM_SHELL_G3D, WLZ_GMELM_SHELL_G3I, WLZ_NINT, _WlzIBox2::xMax, _WlzDBox2::xMax, _WlzIBox3::xMax, _WlzDBox3::xMax, _WlzIBox2::xMin, _WlzDBox2::xMin, _WlzIBox3::xMin, _WlzDBox3::xMin, _WlzIBox2::yMax, _WlzDBox2::yMax, _WlzIBox3::yMax, _WlzDBox3::yMax, _WlzIBox2::yMin, _WlzDBox2::yMin, _WlzIBox3::yMin, _WlzDBox3::yMin, _WlzIBox3::zMax, _WlzDBox3::zMax, _WlzIBox3::zMin, and _WlzDBox3::zMin.

Referenced by WlzGMShellSetG2D().

WlzErrorNum WlzGMShellSetG3D	(	WlzGMShell *	shell,
		int	nPnt,
		WlzDVertex3 *	pos
	)

Sets a shell's geometry using the pair of double precision points.

Returns: Woolz error code.

Parameters

shell	Given shell with geometry to be set.
nPnt	Number of points.
pos	Array of points.

References _WlzDVertex3::vtX, _WlzDVertex3::vtY, _WlzDVertex3::vtZ, WLZ_ERR_NONE, WlzGMShellSetGBB3D(), _WlzDBox3::xMax, _WlzDBox3::xMin, _WlzDBox3::yMax, _WlzDBox3::yMin, _WlzDBox3::zMax, and _WlzDBox3::zMin.

Referenced by WlzGMModelConstructS().

WlzErrorNum WlzGMShellSetG2D	(	WlzGMShell *	shell,
		int	nPnt,
		WlzDVertex2 *	pos
	)

Sets a shell's geometry using the pair of double precision points.

Returns: Woolz error code.

Parameters

shell	Given shell with geometry to be set.
nPnt	Number of points.
pos	Array of points.

References _WlzDVertex2::vtX, _WlzDVertex2::vtY, WLZ_ERR_NONE, WlzGMShellSetGBB2D(), _WlzDBox2::xMax, _WlzDBox2::xMin, _WlzDBox2::yMax, and _WlzDBox2::yMin.

Referenced by WlzGMModelConstructS().

WlzErrorNum WlzGMModelSetSG ( WlzGMModel * model )

Sets the geometry of each of the shells in the given model.

Returns: Woolz eror code.

Parameters

model Given geometric model.

References AlcVectorItemGet(), _WlzGMShellG2I::bBox, _WlzGMShellG2D::bBox, _WlzGMShellG3I::bBox, _WlzGMShellG3D::bBox, _WlzGMShell::child, _WlzGMModel::child, _WlzVertexP::d2, _WlzBoxP::d2, _WlzVertexP::d3, _WlzBoxP::d3, _WlzGMVertexT::diskT, _WlzGMVertex::diskT, _WlzGMLoopT::edgeT, _WlzGMVertex::geo, _WlzGMShell::geo, _WlzVertexP::i2, _WlzBoxP::i2, _WlzVertexP::i3, _WlzBoxP::i3, _WlzGMShell::next, _WlzGMResource::numElm, _WlzGMVertexT::parent, _WlzGMEdgeT::parent, _WlzGMLoopT::parent, _WlzGMModel::res, _WlzGMShellGU::sg2D, _WlzGMShellGU::sg2I, _WlzGMShellGU::sg3D, _WlzGMShellGU::sg3I, _WlzGMModel::type, _WlzGMResource::vec, _WlzGMDiskT::vertex, _WlzGMModelR::vertex, _WlzGMDiskT::vertexT, _WlzGMEdgeT::vertexT, _WlzGMVertexGU::vg2D, _WlzGMVertexGU::vg2I, _WlzGMVertexGU::vg3D, _WlzGMVertexGU::vg3I, _WlzIVertex2::vtX, _WlzDVertex2::vtX, _WlzIVertex3::vtX, _WlzDVertex3::vtX, _WlzGMVertexG2I::vtx, _WlzGMVertexG2D::vtx, _WlzGMVertexG3I::vtx, _WlzGMVertexG3D::vtx, _WlzIVertex2::vtY, _WlzDVertex2::vtY, _WlzIVertex3::vtY, _WlzDVertex3::vtY, _WlzIVertex3::vtZ, _WlzDVertex3::vtZ, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_NONE, WLZ_GMMOD_2D, WLZ_GMMOD_2I, WLZ_GMMOD_2N, WLZ_GMMOD_3D, WLZ_GMMOD_3I, WLZ_GMMOD_3N, _WlzIBox2::xMax, _WlzDBox2::xMax, _WlzIBox3::xMax, _WlzDBox3::xMax, _WlzIBox2::xMin, _WlzDBox2::xMin, _WlzIBox3::xMin, _WlzDBox3::xMin, _WlzIBox2::yMax, _WlzDBox2::yMax, _WlzIBox3::yMax, _WlzDBox3::yMax, _WlzIBox2::yMin, _WlzDBox2::yMin, _WlzIBox3::yMin, _WlzDBox3::yMin, _WlzIBox3::zMax, _WlzDBox3::zMax, _WlzIBox3::zMin, and _WlzDBox3::zMin.

Referenced by WlzGMFilterGeomLPLM().

WlzErrorNum WlzGMShellUpdateG3D	(	WlzGMShell *	shell,
		WlzDVertex3	pos
	)

Updates a shell's geometry using the given double precision position.

Returns: Woolz error code.

Parameters

shell	Given shell with geometry to be set.
pos	Given position.

References _WlzGMShellG2I::bBox, _WlzGMShellG2D::bBox, _WlzGMShellG3I::bBox, _WlzGMShellG3D::bBox, _WlzGMShellGU::core, _WlzGMShell::geo, _WlzGMShellGU::sg2D, _WlzGMShellGU::sg2I, _WlzGMShellGU::sg3D, _WlzGMShellGU::sg3I, _WlzGMCore::type, _WlzDVertex3::vtX, _WlzDVertex3::vtY, _WlzDVertex3::vtZ, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_NONE, WLZ_GMELM_SHELL_G2D, WLZ_GMELM_SHELL_G2I, WLZ_GMELM_SHELL_G3D, WLZ_GMELM_SHELL_G3I, _WlzIBox2::xMax, _WlzDBox2::xMax, _WlzIBox3::xMax, _WlzDBox3::xMax, _WlzIBox2::xMin, _WlzDBox2::xMin, _WlzIBox3::xMin, _WlzDBox3::xMin, _WlzIBox2::yMax, _WlzDBox2::yMax, _WlzIBox3::yMax, _WlzDBox3::yMax, _WlzIBox2::yMin, _WlzDBox2::yMin, _WlzIBox3::yMin, _WlzDBox3::yMin, _WlzIBox3::zMax, _WlzDBox3::zMax, _WlzIBox3::zMin, and _WlzDBox3::zMin.

Referenced by WlzGMModelConstructS().

WlzErrorNum WlzGMShellUpdateG2D	(	WlzGMShell *	shell,
		WlzDVertex2	pos
	)

Updates a shell's geometry using the new given double precision position.

Returns: Woolz error code.

Parameters

shell	Given shell with geometry to be set.
pos	Given new position.

References _WlzGMShellG2I::bBox, _WlzGMShellG2D::bBox, _WlzGMShellG3I::bBox, _WlzGMShellG3D::bBox, _WlzGMShellGU::core, _WlzGMShell::geo, _WlzGMShellGU::sg2D, _WlzGMShellGU::sg2I, _WlzGMShellGU::sg3D, _WlzGMShellGU::sg3I, _WlzGMCore::type, _WlzDVertex2::vtX, _WlzDVertex2::vtY, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_NONE, WLZ_GMELM_SHELL_G2D, WLZ_GMELM_SHELL_G2I, WLZ_GMELM_SHELL_G3D, WLZ_GMELM_SHELL_G3I, _WlzIBox2::xMax, _WlzDBox2::xMax, _WlzIBox3::xMax, _WlzDBox3::xMax, _WlzIBox2::xMin, _WlzDBox2::xMin, _WlzIBox3::xMin, _WlzDBox3::xMin, _WlzIBox2::yMax, _WlzDBox2::yMax, _WlzIBox3::yMax, _WlzDBox3::yMax, _WlzIBox2::yMin, _WlzDBox2::yMin, _WlzIBox3::yMin, and _WlzDBox3::yMin.

Referenced by WlzGMModelConstructS().

WlzErrorNum WlzGMShellUpdateGBB3D	(	WlzGMShell *	shell,
		WlzDBox3	bBox
	)

Updates a shell's geometry using the given double precision position bounding box. The updated geometry is the union of the existing geometry and the given bounding box.

Returns: Woolz error code.

Parameters

shell	Given shell with geometry to be set.
bBox	Given bounding box.

References _WlzGMShellG2I::bBox, _WlzGMShellG2D::bBox, _WlzGMShellG3I::bBox, _WlzGMShellG3D::bBox, _WlzGMShellGU::core, _WlzGMShell::geo, _WlzGMShellGU::sg2D, _WlzGMShellGU::sg2I, _WlzGMShellGU::sg3D, _WlzGMShellGU::sg3I, _WlzGMCore::type, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_NONE, WLZ_GMELM_SHELL_G2D, WLZ_GMELM_SHELL_G2I, WLZ_GMELM_SHELL_G3D, WLZ_GMELM_SHELL_G3I, WLZ_NINT, _WlzIBox2::xMax, _WlzDBox2::xMax, _WlzIBox3::xMax, _WlzDBox3::xMax, _WlzIBox2::xMin, _WlzDBox2::xMin, _WlzIBox3::xMin, _WlzDBox3::xMin, _WlzIBox2::yMax, _WlzDBox2::yMax, _WlzIBox3::yMax, _WlzDBox3::yMax, _WlzIBox2::yMin, _WlzDBox2::yMin, _WlzIBox3::yMin, _WlzDBox3::yMin, _WlzIBox3::zMax, _WlzDBox3::zMax, _WlzIBox3::zMin, and _WlzDBox3::zMin.

WlzErrorNum WlzGMShellUpdateGBB2D	(	WlzGMShell *	shell,
		WlzDBox2	bBox
	)

Updates a shell's geometry using the given double precision position bounding box. The updated geometry is the union of the existing geometry and the given bounding box.

Returns: Woolz error code.

Parameters

shell	Given shell with geometry to be set.
bBox	Given bounding box.

References _WlzGMShellG2I::bBox, _WlzGMShellG2D::bBox, _WlzGMShellG3I::bBox, _WlzGMShellG3D::bBox, _WlzGMShellGU::core, _WlzGMShell::geo, _WlzGMShellGU::sg2D, _WlzGMShellGU::sg2I, _WlzGMShellGU::sg3D, _WlzGMShellGU::sg3I, _WlzGMCore::type, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_NONE, WLZ_GMELM_SHELL_G2D, WLZ_GMELM_SHELL_G2I, WLZ_GMELM_SHELL_G3D, WLZ_GMELM_SHELL_G3I, WLZ_NINT, _WlzIBox2::xMax, _WlzDBox2::xMax, _WlzIBox3::xMax, _WlzDBox3::xMax, _WlzIBox2::xMin, _WlzDBox2::xMin, _WlzIBox3::xMin, _WlzDBox3::xMin, _WlzIBox2::yMax, _WlzDBox2::yMax, _WlzIBox3::yMax, _WlzDBox3::yMax, _WlzIBox2::yMin, _WlzDBox2::yMin, _WlzIBox3::yMin, and _WlzDBox3::yMin.

WlzErrorNum WlzGMShellDndateG2D	(	WlzGMShell *	shell,
		WlzDVertex2	pos
	)

Updates the shell's geometry for the removed vertex with the given position.

Returns: Woolz error code.

Parameters

shell	Given shell with geometry.
pos	The removed vertex position.

References _WlzGMShellG2I::bBox, _WlzGMShellG2D::bBox, _WlzGMShellGU::core, _WlzGMShell::geo, _WlzGMShellGU::sg2D, _WlzGMShellGU::sg2I, _WlzGMCore::type, _WlzDVertex2::vtX, _WlzDVertex2::vtY, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_NONE, WLZ_GM_TOLERANCE, WLZ_GMELM_SHELL_G2D, WLZ_GMELM_SHELL_G2I, WlzGMShellComputeGBB(), _WlzIBox2::xMax, _WlzDBox2::xMax, _WlzIBox2::xMin, _WlzDBox2::xMin, _WlzIBox2::yMax, _WlzDBox2::yMax, _WlzIBox2::yMin, and _WlzDBox2::yMin.

Referenced by WlzGMModelDeleteV().

WlzErrorNum WlzGMShellDndateG3D	(	WlzGMShell *	shell,
		WlzDVertex3	pos
	)

Updates the shell's geometry for the removed vertex with the given position.

Returns: Woolz error code.

Parameters

shell	Given shell with geometry.
pos	The removed vertex position.

References _WlzGMShellG3I::bBox, _WlzGMShellG3D::bBox, _WlzGMShellGU::core, _WlzGMShell::geo, _WlzGMShellGU::sg3D, _WlzGMShellGU::sg3I, _WlzGMCore::type, _WlzDVertex3::vtX, _WlzDVertex3::vtY, _WlzDVertex3::vtZ, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_NONE, WLZ_GM_TOLERANCE, WLZ_GMELM_SHELL_G3D, WLZ_GMELM_SHELL_G3I, WlzGMShellComputeGBB(), _WlzDBox3::xMax, _WlzIBox3::xMin, _WlzDBox3::xMin, _WlzDBox3::yMax, _WlzDBox3::yMin, _WlzDBox3::zMax, and _WlzDBox3::zMin.

WlzErrorNum WlzGMShellComputeGBB ( WlzGMShell * shell )

Recomputes the shell's geometry by walking through it's children.

Returns: Woolz error code.

Parameters

shell Given shell with geometry to be set.

References _WlzGMShellG2I::bBox, _WlzGMShellG2D::bBox, _WlzGMShellG3I::bBox, _WlzGMShellG3D::bBox, _WlzGMShell::child, _WlzGMShellGU::core, _WlzGMVertexT::diskT, _WlzGMLoopT::edgeT, _WlzGMVertex::geo, _WlzGMShell::geo, _WlzGMEdgeT::next, _WlzGMLoopT::next, _WlzGMShellGU::sg2D, _WlzGMShellGU::sg2I, _WlzGMShellGU::sg3D, _WlzGMShellGU::sg3I, _WlzGMCore::type, _WlzGMDiskT::vertex, _WlzGMEdgeT::vertexT, _WlzGMVertexGU::vg2D, _WlzGMVertexGU::vg2I, _WlzGMVertexGU::vg3D, _WlzGMVertexGU::vg3I, _WlzIVertex2::vtX, _WlzDVertex2::vtX, _WlzIVertex3::vtX, _WlzDVertex3::vtX, _WlzGMVertexG2I::vtx, _WlzGMVertexG2D::vtx, _WlzGMVertexG3I::vtx, _WlzGMVertexG3D::vtx, _WlzIVertex2::vtY, _WlzDVertex2::vtY, _WlzIVertex3::vtY, _WlzDVertex3::vtY, _WlzIVertex3::vtZ, _WlzDVertex3::vtZ, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_NONE, WLZ_GMELM_SHELL_G2D, WLZ_GMELM_SHELL_G2I, WLZ_GMELM_SHELL_G3D, WLZ_GMELM_SHELL_G3I, _WlzIBox2::xMax, _WlzDBox2::xMax, _WlzIBox3::xMax, _WlzDBox3::xMax, _WlzIBox2::xMin, _WlzDBox2::xMin, _WlzIBox3::xMin, _WlzDBox3::xMin, _WlzIBox2::yMax, _WlzDBox2::yMax, _WlzIBox3::yMax, _WlzDBox3::yMax, _WlzIBox2::yMin, _WlzDBox2::yMin, _WlzIBox3::yMin, _WlzDBox3::yMin, _WlzIBox3::zMax, _WlzDBox3::zMax, _WlzIBox3::zMin, and _WlzDBox3::zMin.

Referenced by WlzBasisFnTransformGMModel(), WlzGMModelDeleteV(), WlzGMShellDndateG2D(), and WlzGMShellDndateG3D().

int WlzGMShellGInBB3D	(	WlzGMShell *	shell,
		WlzDVertex3	pos
	)

Checks to see if the given double precision position is within the shell's bounding box.

Returns: Non zero if point inside shell's bounding box.

Parameters

shell	Given shell with geometry to be set.
pos	Given double precision position.

References _WlzGMShellG2I::bBox, _WlzGMShellG2D::bBox, _WlzGMShellG3I::bBox, _WlzGMShellG3D::bBox, _WlzGMShellGU::core, _WlzGMShell::geo, _WlzGMShellGU::sg2D, _WlzGMShellGU::sg2I, _WlzGMShellGU::sg3D, _WlzGMShellGU::sg3I, _WlzGMCore::type, _WlzDVertex3::vtX, _WlzDVertex3::vtY, _WlzDVertex3::vtZ, WLZ_GMELM_SHELL_G2D, WLZ_GMELM_SHELL_G2I, WLZ_GMELM_SHELL_G3D, WLZ_GMELM_SHELL_G3I, _WlzIBox2::xMax, _WlzDBox2::xMax, _WlzIBox3::xMax, _WlzDBox3::xMax, _WlzIBox2::xMin, _WlzDBox2::xMin, _WlzIBox3::xMin, _WlzDBox3::xMin, _WlzIBox2::yMax, _WlzDBox2::yMax, _WlzIBox3::yMax, _WlzDBox3::yMax, _WlzIBox2::yMin, _WlzDBox2::yMin, _WlzIBox3::yMin, _WlzDBox3::yMin, _WlzIBox3::zMax, _WlzDBox3::zMax, _WlzIBox3::zMin, and _WlzDBox3::zMin.

int WlzGMShellGInBB2D	(	WlzGMShell *	shell,
		WlzDVertex2	pos
	)

Checks to see if the given double precision position is within the shell's bounding box.

Returns: Non zero if point inside shell's bounding box.

Parameters

shell	Given shell with geometry to be set.
pos	Given double precision position.

References _WlzGMShellG2I::bBox, _WlzGMShellG2D::bBox, _WlzGMShellG3I::bBox, _WlzGMShellG3D::bBox, _WlzGMShellGU::core, _WlzGMShell::geo, _WlzGMShellGU::sg2D, _WlzGMShellGU::sg2I, _WlzGMShellGU::sg3D, _WlzGMShellGU::sg3I, _WlzGMCore::type, _WlzDVertex2::vtX, _WlzDVertex2::vtY, WLZ_GMELM_SHELL_G2D, WLZ_GMELM_SHELL_G2I, WLZ_GMELM_SHELL_G3D, WLZ_GMELM_SHELL_G3I, _WlzIBox2::xMax, _WlzDBox2::xMax, _WlzIBox3::xMax, _WlzDBox3::xMax, _WlzIBox2::xMin, _WlzDBox2::xMin, _WlzIBox3::xMin, _WlzDBox3::xMin, _WlzIBox2::yMax, _WlzDBox2::yMax, _WlzIBox3::yMax, _WlzDBox3::yMax, _WlzIBox2::yMin, _WlzDBox2::yMin, _WlzIBox3::yMin, and _WlzDBox3::yMin.

WlzErrorNum WlzGMVertexSetG2D	(	WlzGMVertex *	vertex,
		WlzDVertex2	pos
	)

Sets a vertex geometry using the given double precision position.

Returns: Woolz error code.

Parameters

vertex	Given vertex with geometry to be set.
pos	Given position.

References _WlzGMVertexGU::core, _WlzGMVertex::geo, _WlzGMCore::type, _WlzGMVertexGU::vg2D, _WlzGMVertexGU::vg2I, _WlzGMVertexGU::vg3D, _WlzGMVertexGU::vg3I, _WlzIVertex2::vtX, _WlzDVertex2::vtX, _WlzIVertex3::vtX, _WlzDVertex3::vtX, _WlzGMVertexG2I::vtx, _WlzGMVertexG2D::vtx, _WlzGMVertexG3I::vtx, _WlzGMVertexG3D::vtx, _WlzIVertex2::vtY, _WlzDVertex2::vtY, _WlzIVertex3::vtY, _WlzDVertex3::vtY, _WlzIVertex3::vtZ, _WlzDVertex3::vtZ, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_NONE, WLZ_GMELM_VERTEX_G2D, WLZ_GMELM_VERTEX_G2I, WLZ_GMELM_VERTEX_G2N, WLZ_GMELM_VERTEX_G3D, WLZ_GMELM_VERTEX_G3I, WLZ_GMELM_VERTEX_G3N, and WLZ_NINT.

Referenced by WlzGMModelConstructSimplex2N().

WlzErrorNum WlzGMVertexSetG2N	(	WlzGMVertex *	vertex,
		WlzDVertex2	pos,
		WlzDVertex2	nrm
	)

Sets a vertex geometry using the given double precision position and normal.

Returns: Woolz error code.

Parameters

vertex	Given vertex with geometry to be set.
pos	Given position.
nrm	Given normal.

References _WlzGMVertexGU::core, _WlzGMVertex::geo, _WlzGMVertexG2N::nrm, _WlzGMVertexG3N::nrm, _WlzGMCore::type, _WlzGMVertexGU::vg2D, _WlzGMVertexGU::vg2I, _WlzGMVertexGU::vg2N, _WlzGMVertexGU::vg3D, _WlzGMVertexGU::vg3I, _WlzGMVertexGU::vg3N, _WlzIVertex2::vtX, _WlzDVertex2::vtX, _WlzIVertex3::vtX, _WlzDVertex3::vtX, _WlzGMVertexG2I::vtx, _WlzGMVertexG2D::vtx, _WlzGMVertexG2N::vtx, _WlzGMVertexG3I::vtx, _WlzGMVertexG3D::vtx, _WlzGMVertexG3N::vtx, _WlzIVertex2::vtY, _WlzDVertex2::vtY, _WlzIVertex3::vtY, _WlzDVertex3::vtY, _WlzIVertex3::vtZ, _WlzDVertex3::vtZ, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_NONE, WLZ_GMELM_VERTEX_G2D, WLZ_GMELM_VERTEX_G2I, WLZ_GMELM_VERTEX_G2N, WLZ_GMELM_VERTEX_G3D, WLZ_GMELM_VERTEX_G3I, WLZ_GMELM_VERTEX_G3N, and WLZ_NINT.

Referenced by WlzGMModelConstructSimplex2N().

WlzErrorNum WlzGMVertexSetG3D	(	WlzGMVertex *	vertex,
		WlzDVertex3	pos
	)

Sets a vertex geometry using the given double precision position.

Returns: Woolz error code.

Parameters

vertex	Given vertex with geometry to be set.
pos	Given position.

References _WlzGMVertexGU::core, _WlzGMVertex::geo, _WlzGMCore::type, _WlzGMVertexGU::vg2D, _WlzGMVertexGU::vg2I, _WlzGMVertexGU::vg3D, _WlzGMVertexGU::vg3I, _WlzIVertex2::vtX, _WlzDVertex2::vtX, _WlzIVertex3::vtX, _WlzDVertex3::vtX, _WlzGMVertexG2I::vtx, _WlzGMVertexG2D::vtx, _WlzGMVertexG3I::vtx, _WlzGMVertexG3D::vtx, _WlzIVertex2::vtY, _WlzDVertex2::vtY, _WlzIVertex3::vtY, _WlzDVertex3::vtY, _WlzIVertex3::vtZ, _WlzDVertex3::vtZ, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_NONE, WLZ_GMELM_VERTEX_G2D, WLZ_GMELM_VERTEX_G2I, WLZ_GMELM_VERTEX_G2N, WLZ_GMELM_VERTEX_G3D, WLZ_GMELM_VERTEX_G3I, WLZ_GMELM_VERTEX_G3N, and WLZ_NINT.

Referenced by WlzGMModelConstructSimplex3N().

WlzErrorNum WlzGMVertexSetG3N	(	WlzGMVertex *	vertex,
		WlzDVertex3	pos,
		WlzDVertex3	nrm
	)

Sets a vertex geometry using the given double precision position and normal.

Returns: Woolz error code.

Parameters

vertex	Given vertex with geometry to be set.
pos	Given position.
nrm	Given normal.

References _WlzGMVertexGU::core, _WlzGMVertex::geo, _WlzGMVertexG2N::nrm, _WlzGMVertexG3N::nrm, _WlzGMCore::type, _WlzGMVertexGU::vg2D, _WlzGMVertexGU::vg2I, _WlzGMVertexGU::vg2N, _WlzGMVertexGU::vg3D, _WlzGMVertexGU::vg3I, _WlzGMVertexGU::vg3N, _WlzIVertex2::vtX, _WlzDVertex2::vtX, _WlzIVertex3::vtX, _WlzDVertex3::vtX, _WlzGMVertexG2I::vtx, _WlzGMVertexG2D::vtx, _WlzGMVertexG2N::vtx, _WlzGMVertexG3I::vtx, _WlzGMVertexG3D::vtx, _WlzGMVertexG3N::vtx, _WlzIVertex2::vtY, _WlzDVertex2::vtY, _WlzIVertex3::vtY, _WlzDVertex3::vtY, _WlzIVertex3::vtZ, _WlzDVertex3::vtZ, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_NONE, WLZ_GMELM_VERTEX_G2D, WLZ_GMELM_VERTEX_G2I, WLZ_GMELM_VERTEX_G2N, WLZ_GMELM_VERTEX_G3D, WLZ_GMELM_VERTEX_G3I, WLZ_GMELM_VERTEX_G3N, and WLZ_NINT.

Referenced by WlzGMModelConstructSimplex3N().

WlzErrorNum WlzGMVertexGetG3D	(	WlzGMVertex *	vertex,
		WlzDVertex3 *	dstPos
	)

Gets a veticies geometry into the given double precision position destination pointer.

Returns: Woolz error code.

Parameters

vertex	Given vertex with geometry to be set.
dstPos	Given position destination pointer, may NOT be NULL.

References _WlzGMVertexGU::core, _WlzGMVertex::geo, _WlzGMCore::type, _WlzGMVertexGU::vg2D, _WlzGMVertexGU::vg2I, _WlzGMVertexGU::vg3D, _WlzGMVertexGU::vg3I, _WlzIVertex2::vtX, _WlzDVertex2::vtX, _WlzIVertex3::vtX, _WlzDVertex3::vtX, _WlzGMVertexG2I::vtx, _WlzGMVertexG2D::vtx, _WlzGMVertexG3I::vtx, _WlzGMVertexG3D::vtx, _WlzIVertex2::vtY, _WlzDVertex2::vtY, _WlzIVertex3::vtY, _WlzDVertex3::vtY, _WlzIVertex3::vtZ, _WlzDVertex3::vtZ, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_NONE, WLZ_GMELM_VERTEX_G2D, WLZ_GMELM_VERTEX_G2I, WLZ_GMELM_VERTEX_G2N, WLZ_GMELM_VERTEX_G3D, WLZ_GMELM_VERTEX_G3I, and WLZ_GMELM_VERTEX_G3N.

Referenced by WlzCentreOfMassVtx3D(), WlzCMeshFromGM(), WlzEffWriteObjObj(), WlzEffWriteObjPly2(), WlzEffWriteObjSMesh(), WlzEffWriteObjVtk(), WlzGetSectionFromGMModel(), WlzGMEdgeTInsertRadial(), WlzGMFaceGetG3D(), WlzGMModelAddVertexToHT(), WlzGMModelConstructS(), WlzGMModelRemVertex(), WlzGMModelSpxStats(), WlzGMVertexCmpSign3D(), and WlzGMVertexNormal3D().

WlzErrorNum WlzGMVertexGetG3N	(	WlzGMVertex *	vertex,
		WlzDVertex3 *	dstPos,
		WlzDVertex3 *	dstNrm
	)

Gets a vertex geometry into the given double precision position and normaldestination pointers. If the model vertex geometry does not have normals then the normal will be {0,0,0}, the zero vector.

Returns: Woolz error code.

Parameters

vertex	Given vertex with geometry to be set.
dstPos	Given position destination pointer, may NOT be NULL.
dstNrm	Given normal destination pointer, may NOT be NULL.

References _WlzGMVertexGU::core, _WlzGMVertex::geo, _WlzGMVertexG2N::nrm, _WlzGMVertexG3N::nrm, _WlzGMCore::type, _WlzGMVertexGU::vg2D, _WlzGMVertexGU::vg2I, _WlzGMVertexGU::vg2N, _WlzGMVertexGU::vg3D, _WlzGMVertexGU::vg3I, _WlzGMVertexGU::vg3N, _WlzIVertex2::vtX, _WlzDVertex2::vtX, _WlzIVertex3::vtX, _WlzDVertex3::vtX, _WlzGMVertexG2I::vtx, _WlzGMVertexG2D::vtx, _WlzGMVertexG2N::vtx, _WlzGMVertexG3I::vtx, _WlzGMVertexG3D::vtx, _WlzGMVertexG3N::vtx, _WlzIVertex2::vtY, _WlzDVertex2::vtY, _WlzIVertex3::vtY, _WlzDVertex3::vtY, _WlzIVertex3::vtZ, _WlzDVertex3::vtZ, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_NONE, WLZ_GMELM_VERTEX_G2D, WLZ_GMELM_VERTEX_G2I, WLZ_GMELM_VERTEX_G2N, WLZ_GMELM_VERTEX_G3D, WLZ_GMELM_VERTEX_G3I, and WLZ_GMELM_VERTEX_G3N.

Referenced by WlzEffWriteObjObj(), and WlzEffWriteObjVtk().

WlzErrorNum WlzGMVertexGetG2D	(	WlzGMVertex *	vertex,
		WlzDVertex2 *	dstPos
	)

Gets a veticies geometry into the given double precision position destination pointer.

Returns: Woolz error code.

Parameters

vertex	Given vertex with geometry to be set.
dstPos	Given position destination pointer, may NOT be NULL.

References _WlzGMVertexGU::core, _WlzGMVertex::geo, _WlzGMCore::type, _WlzGMVertexGU::vg2D, _WlzGMVertexGU::vg2I, _WlzGMVertexGU::vg3D, _WlzGMVertexGU::vg3I, _WlzIVertex2::vtX, _WlzDVertex2::vtX, _WlzIVertex3::vtX, _WlzDVertex3::vtX, _WlzGMVertexG2I::vtx, _WlzGMVertexG2D::vtx, _WlzGMVertexG3I::vtx, _WlzGMVertexG3D::vtx, _WlzIVertex2::vtY, _WlzDVertex2::vtY, _WlzIVertex3::vtY, _WlzDVertex3::vtY, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_NONE, WLZ_GMELM_VERTEX_G2D, WLZ_GMELM_VERTEX_G2I, WLZ_GMELM_VERTEX_G2N, WLZ_GMELM_VERTEX_G3D, WLZ_GMELM_VERTEX_G3I, and WLZ_GMELM_VERTEX_G3N.

Referenced by WlzGMModelAddVertexToHT(), WlzGMModelConstructS(), WlzGMModelDeleteV(), WlzGMModelSpxStats(), WlzGMVertexCmpSign2D(), WlzGMVertexShellDist(), and WlzMatchICPWeightMatches().

WlzErrorNum WlzGMVertexGetG2N	(	WlzGMVertex *	vertex,
		WlzDVertex2 *	dstPos,
		WlzDVertex2 *	dstNrm
	)

Gets a vertex geometry into the given double precision position and normal destination pointers. If the model vertex geometry does not have normals then the normal will be {0,0}, the zero vector.

Returns: Woolz error code.

Parameters

vertex	Given vertex with geometry to be set.
dstPos	Given position destination pointer, may NOT be NULL.
dstNrm	Given normal destination pointer, may NOT be NULL.

References _WlzGMVertexGU::core, _WlzGMVertex::geo, _WlzGMVertexG2N::nrm, _WlzGMVertexG3N::nrm, _WlzGMCore::type, _WlzGMVertexGU::vg2D, _WlzGMVertexGU::vg2I, _WlzGMVertexGU::vg2N, _WlzGMVertexGU::vg3D, _WlzGMVertexGU::vg3I, _WlzGMVertexGU::vg3N, _WlzIVertex2::vtX, _WlzDVertex2::vtX, _WlzIVertex3::vtX, _WlzDVertex3::vtX, _WlzGMVertexG2I::vtx, _WlzGMVertexG2D::vtx, _WlzGMVertexG2N::vtx, _WlzGMVertexG3I::vtx, _WlzGMVertexG3D::vtx, _WlzGMVertexG3N::vtx, _WlzIVertex2::vtY, _WlzDVertex2::vtY, _WlzIVertex3::vtY, _WlzDVertex3::vtY, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_NONE, WLZ_GMELM_VERTEX_G2D, WLZ_GMELM_VERTEX_G2I, WLZ_GMELM_VERTEX_G2N, WLZ_GMELM_VERTEX_G3D, WLZ_GMELM_VERTEX_G3I, and WLZ_GMELM_VERTEX_G3N.

Referenced by WlzGMModelConstructS().

WlzDVertex3 WlzGMVertexCmp3D	(	WlzGMVertex *	vertex,
		WlzDVertex3	pos
	)

Compares the position of the given vertex with the given 3D double precision position.

Returns: Position of vertex \(-\) given position.

Parameters

vertex	Given vertex.
pos	Given position.

References _WlzGMVertexGU::core, _WlzGMVertex::geo, _WlzGMCore::type, _WlzGMVertexGU::vg2D, _WlzGMVertexGU::vg2I, _WlzGMVertexGU::vg3D, _WlzGMVertexGU::vg3I, _WlzIVertex2::vtX, _WlzDVertex2::vtX, _WlzIVertex3::vtX, _WlzDVertex3::vtX, _WlzGMVertexG2I::vtx, _WlzGMVertexG2D::vtx, _WlzGMVertexG3I::vtx, _WlzGMVertexG3D::vtx, _WlzIVertex2::vtY, _WlzDVertex2::vtY, _WlzIVertex3::vtY, _WlzDVertex3::vtY, _WlzIVertex3::vtZ, _WlzDVertex3::vtZ, WLZ_GMELM_VERTEX_G2D, WLZ_GMELM_VERTEX_G2I, WLZ_GMELM_VERTEX_G2N, WLZ_GMELM_VERTEX_G3D, WLZ_GMELM_VERTEX_G3I, and WLZ_GMELM_VERTEX_G3N.

WlzDVertex2 WlzGMVertexCmp2D	(	WlzGMVertex *	vertex,
		WlzDVertex2	pos
	)

Compares the position of the given vertex with the given 2D double precision position.

Returns: Position of vertex \(-\) given position.

Parameters

vertex	Given vertex.
pos	Given position.

References _WlzGMVertexGU::core, _WlzGMVertex::geo, _WlzGMCore::type, _WlzGMVertexGU::vg2D, _WlzGMVertexGU::vg2I, _WlzGMVertexGU::vg3D, _WlzGMVertexGU::vg3I, _WlzIVertex2::vtX, _WlzDVertex2::vtX, _WlzIVertex3::vtX, _WlzDVertex3::vtX, _WlzGMVertexG2I::vtx, _WlzGMVertexG2D::vtx, _WlzGMVertexG3I::vtx, _WlzGMVertexG3D::vtx, _WlzIVertex2::vtY, _WlzDVertex2::vtY, _WlzIVertex3::vtY, _WlzDVertex3::vtY, WLZ_GMELM_VERTEX_G2D, WLZ_GMELM_VERTEX_G2I, WLZ_GMELM_VERTEX_G2N, WLZ_GMELM_VERTEX_G3D, WLZ_GMELM_VERTEX_G3I, and WLZ_GMELM_VERTEX_G3N.

int WlzGMVertexCmpSign2D	(	WlzGMVertex *	vertex,
		WlzDVertex2	pos
	)

Compares the coordinates of the given vertex and 2D double precision position to find a signed value for sorting.

Returns: The sign of the vertex position: -1, 0 or +1.

Parameters

vertex	Given vertex.
pos	Given position.

References WLZ_GM_TOLERANCE, WlzGeomCmpVtx2D(), and WlzGMVertexGetG2D().

Referenced by WlzGMModelMatchVertexG2D().

int WlzGMVertexCmpSign3D	(	WlzGMVertex *	vertex,
		WlzDVertex3	pos
	)

Compares the coordinates of the given vertex and 3D double precision position to find a signed value for sorting.

Returns: The sign of the vertex position: -1, 0 or +1.

Parameters

vertex	Given vertex.
pos	Given position.

References WLZ_GM_TOLERANCE, WlzGeomCmpVtx3D(), and WlzGMVertexGetG3D().

Referenced by WlzGMModelAddVertexToHT(), WlzGMModelMatchVertexG3D(), and WlzGMModelRemVertex().

double WlzGMVertexDistSq3D	(	WlzGMVertex *	vertex,
		WlzDVertex3	pos
	)

Calculates the square of the Euclidean distance between the given vertex and the given 3D double precision position.

Returns: Square of distance, -1.0 on error.

Parameters

vertex	Given vertex.
pos	Given position.

References _WlzGMVertexGU::core, _WlzGMVertex::geo, _WlzGMCore::type, _WlzGMVertexGU::vg2D, _WlzGMVertexGU::vg2I, _WlzGMVertexGU::vg3D, _WlzGMVertexGU::vg3I, _WlzIVertex2::vtX, _WlzDVertex2::vtX, _WlzIVertex3::vtX, _WlzDVertex3::vtX, _WlzGMVertexG2I::vtx, _WlzGMVertexG2D::vtx, _WlzGMVertexG3I::vtx, _WlzGMVertexG3D::vtx, _WlzIVertex2::vtY, _WlzDVertex2::vtY, _WlzIVertex3::vtY, _WlzDVertex3::vtY, _WlzIVertex3::vtZ, _WlzDVertex3::vtZ, WLZ_GMELM_VERTEX_G2D, WLZ_GMELM_VERTEX_G2I, WLZ_GMELM_VERTEX_G2N, WLZ_GMELM_VERTEX_G3D, WLZ_GMELM_VERTEX_G3I, and WLZ_GMELM_VERTEX_G3N.

WlzDVertex3 WlzGMVertexNormal3D	(	WlzGMModel *	dummy,
		WlzGMVertex *	gV,
		int *	sVBufSz,
		WlzGMVertex ***	sVBuf,
		WlzErrorNum *	dstErr
	)

Computes the value of the normal at the given vertex which lies within the given model. This function requires a buffer in which to store the vertices found on the loops surrounding the given vertex. For efficiency this can/should be reused between calls of this function.

Returns: Value of normal.

Parameters

dummy	Dummy model, unused.
gV	Given vertex in the model.
sVBufSz	Ptr to the number WlzGMVertex's that can be held in *sVBuf.
sVBuf	Ptr to an allocated buffer for vertices, may NOT be NULL although the buffer it points to may be. The buffer should be free'd using AlcFree when it is no longer needed.
dstErr	Destination error pointer, may be null.

References AlcRealloc(), _WlzGMVertexT::diskT, _WlzGMVertex::diskT, _WlzGMDiskT::next, _WlzGMEdgeT::opp, _WlzGMVertexT::parent, _WlzGMEdgeT::prev, _WlzGMEdgeT::rad, _WlzGMDiskT::vertex, _WlzGMDiskT::vertexT, _WlzGMEdgeT::vertexT, _WlzDVertex3::vtX, _WlzDVertex3::vtY, _WlzDVertex3::vtZ, WLZ_ERR_MEM_ALLOC, WLZ_ERR_NONE, WLZ_VTX_3_ADD, WLZ_VTX_3_SCALE, WlzGeomTriangleNormal(), and WlzGMVertexGetG3D().

Referenced by WlzVertexHeapSortIdxFnD3().

double WlzGMVertexDistSq2D	(	WlzGMVertex *	vertex,
		WlzDVertex2	pos
	)

Calculates the square of the Euclidean distance between the given vertex and the given 2D double precision position.

Returns: Square of distance, -1.0 on error.

Parameters

vertex	Given vertex.
pos	Given position.

References _WlzGMVertexGU::core, _WlzGMVertex::geo, _WlzGMCore::type, _WlzGMVertexGU::vg2D, _WlzGMVertexGU::vg2I, _WlzGMVertexGU::vg3D, _WlzGMVertexGU::vg3I, _WlzIVertex2::vtX, _WlzDVertex2::vtX, _WlzIVertex3::vtX, _WlzDVertex3::vtX, _WlzGMVertexG2I::vtx, _WlzGMVertexG2D::vtx, _WlzGMVertexG3I::vtx, _WlzGMVertexG3D::vtx, _WlzIVertex2::vtY, _WlzDVertex2::vtY, _WlzIVertex3::vtY, _WlzDVertex3::vtY, WLZ_GMELM_VERTEX_G2D, WLZ_GMELM_VERTEX_G2I, WLZ_GMELM_VERTEX_G2N, WLZ_GMELM_VERTEX_G3D, WLZ_GMELM_VERTEX_G3I, and WLZ_GMELM_VERTEX_G3N.

WlzErrorNum WlzGMFaceGetG3D	(	WlzGMFace *	face,
		WlzDVertex3 *	dstPos0,
		WlzDVertex3 *	dstPos1,
		WlzDVertex3 *	dstPos2
	)

Gets the geometry of a face.

Returns: Woolz error code.

Parameters

face	Given face.
dstPos0	Destination pointer for first vertex geometry, must not be NULL.
dstPos1	Destination pointer for second vertex geometry, must not be NULL.
dstPos2	Destination pointer for third vertex geometry, must not be NULL.

References _WlzGMVertexT::diskT, _WlzGMLoopT::edgeT, _WlzGMFace::loopT, _WlzGMEdgeT::next, _WlzGMDiskT::vertex, _WlzGMEdgeT::vertexT, WLZ_ERR_NONE, WLZ_ERR_PARAM_NULL, and WlzGMVertexGetG3D().

Referenced by WlzEffWriteObjStl(), WlzGeoModelGridWSpSet3D(), and WlzGMModelCutDom().

WlzGMVertex* WlzGMModelMatchVertexG3D	(	WlzGMModel *	model,
		WlzDVertex3	gPos
	)

Attempts to find a vertex which matches the given double precision 3D position.

Returns: Matched vertex, or NULL if no vertex with the given geometry.

Parameters

model	Model with resources.
gPos	Position to match.

References _WlzGMVertex::next, _WlzGMModel::vertexHT, _WlzGMModel::vertexHTSz, WLZ_GM_TOLERANCE, WlzGeomHashVtx3D(), and WlzGMVertexCmpSign3D().

Referenced by WlzGMModelConstructSimplex3N().

WlzGMVertex* WlzGMModelMatchVertexG2D	(	WlzGMModel *	model,
		WlzDVertex2	gPos
	)

Attempts to find a vertex which matches the given double precision 2D position.

Returns: Matched vertex, or NULL if no vertex with the given geometry.

Parameters

model	Model with resources.
gPos	Position to match.

References _WlzGMVertex::next, _WlzGMModel::vertexHT, _WlzGMModel::vertexHTSz, WLZ_GM_TOLERANCE, WlzGeomHashVtx2D(), and WlzGMVertexCmpSign2D().

Referenced by WlzGMModelAddVertexToHT(), and WlzMatchICPWeightMatches().

double WlzGMVertexShellDist	(	WlzGMVertex *	v0,
		WlzGMVertex *	v1,
		double	maxDist,
		WlzErrorNum *	dstErr
	)

Computes the minimum distance between the two vertices where the path between them is constrained to the common shell, this will be negative if the two vertices are in different shells.

Returns: Minimum constrained distance between the vertices or a negative value if the two vertices are in different shells.

Parameters

v0	First vertex.
v1	Second vertex.
maxDist	Maximum search distance.
dstErr	Destination error pointer, may be null.

References _WlzGMVertexT::diskT, _WlzGMVertex::diskT, _WlzGMVertexT::next, _WlzGMEdgeT::next, _WlzGMVertexT::parent, _WlzGMEdgeT::parent, _WlzGMShell::parent, _WlzGMDiskT::vertex, _WlzGMDiskT::vertexT, _WlzGMEdgeT::vertexT, WLZ_ERR_NONE, WLZ_ERR_PARAM_NULL, WLZ_ERR_UNIMPLEMENTED, WLZ_VTX_2_LENGTH, WLZ_VTX_2_SUB, WlzGMModelGetDimension(), WlzGMVertexCommonShell(), and WlzGMVertexGetG2D().

WlzErrorNum WlzGMVerifyModel	(	WlzGMModel *	model,
		WlzGMElemP *	dstElmP
	)

Verifies the given model. If the invalid element destination pointer is given then it MAY be set to point to an invalid element of the model. This function was written as an aid to debugging.

Returns: Woolz error code.

Parameters

model	Given model.
dstElmP	Destination pointer for an invalid element pointermay be NULL.

References _WlzGMModel::child, _WlzGMElemP::core, _WlzGMShell::next, _WlzGMResource::numElm, _WlzGMShell::parent, _WlzGMModel::res, _WlzGMElemP::shell, _WlzGMModelR::shell, _WlzGMShell::type, _WlzGMModel::type, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_GMELM_DATA, WLZ_ERR_GMELM_NULL, WLZ_ERR_GMELM_TYPE, WLZ_ERR_NONE, WLZ_GMELM_SHELL, WlzGMModelTypeValid(), and WlzGMVerifyShell().

Referenced by WlzGMModelDeleteE().

WlzErrorNum WlzGMVerifyShell	(	WlzGMShell *	shell,
		WlzGMElemP *	dstElmP
	)

Verifies the given shell. If the invalid element destination pointer is given then it MAY be set to point to an invalid element of the model. This function was written as an aid to debugging.

Returns

Parameters

shell	Given shell.
dstElmP	Destination pointer for an invalid element pointer, may be NULL.

References _WlzGMShell::child, _WlzGMElemP::core, _WlzGMShell::idx, _WlzGMElemP::loopT, _WlzGMModelR::loopT, _WlzGMLoopT::next, _WlzGMShell::next, _WlzGMResource::numElm, _WlzGMLoopT::parent, _WlzGMShell::parent, _WlzGMShell::prev, _WlzGMModel::res, _WlzGMElemP::shell, _WlzGMShell::type, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_GMELM_DATA, WLZ_ERR_GMELM_NULL, WLZ_ERR_GMELM_TYPE, WLZ_ERR_NONE, WLZ_GMELM_SHELL, and WlzGMVerifyLoopT().

Referenced by WlzGMVerifyModel().

WlzErrorNum WlzGMVerifyLoopT	(	WlzGMLoopT *	loopT,
		WlzGMElemP *	dstElmP
	)

Verifies the given loop topology element. If the invalid element destination pointer is given then it MAY be set to point to an invalid element of the model. This function was written as an aid to debugging.

Returns

Parameters

loopT	Given loop topology element.
dstElmP	Destination pointer for an invalid element pointer, may be NULL.

References _WlzGMElemP::core, _WlzGMElemP::diskT, _WlzGMVertexT::diskT, _WlzGMEdgeT::edge, _WlzGMElemP::edgeT, _WlzGMLoopT::edgeT, _WlzGMModelR::edgeT, _WlzGMVertexT::idx, _WlzGMVertex::idx, _WlzGMDiskT::idx, _WlzGMEdgeT::idx, _WlzGMEdge::idx, _WlzGMLoopT::idx, _WlzGMElemP::loopT, _WlzGMDiskT::next, _WlzGMEdgeT::next, _WlzGMLoopT::next, _WlzGMResource::numElm, _WlzGMEdgeT::opp, _WlzGMEdgeT::parent, _WlzGMLoopT::parent, _WlzGMShell::parent, _WlzGMDiskT::prev, _WlzGMEdgeT::prev, _WlzGMLoopT::prev, _WlzGMEdgeT::rad, _WlzGMModel::res, _WlzGMElemP::shell, _WlzGMVertexT::type, _WlzGMVertex::type, _WlzGMDiskT::type, _WlzGMEdgeT::type, _WlzGMEdge::type, _WlzGMLoopT::type, _WlzGMShell::type, _WlzGMDiskT::vertex, _WlzGMDiskT::vertexT, _WlzGMEdgeT::vertexT, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_GMELM_DATA, WLZ_ERR_GMELM_NULL, WLZ_ERR_GMELM_TYPE, WLZ_ERR_NONE, WLZ_GMELM_DISK_T, WLZ_GMELM_EDGE, WLZ_GMELM_EDGE_T, WLZ_GMELM_LOOP_T, WLZ_GMELM_SHELL, WLZ_GMELM_VERTEX, and WLZ_GMELM_VERTEX_T.

Referenced by WlzGMVerifyShell().

WlzGMEdge** WlzGMModelFindNMEdges	(	WlzGMModel *	model,
		int *	dstNMCnt,
		WlzErrorNum *	dstErr
	)

Finds a loop topology element in common for the two edge topology elements.

Returns: Ptr to an array of non-manifold edge ptrs, NULL if none exist or on error.

Parameters

model	The given model.
dstNMCnt	Destination pointer for number of non-manifold edges found.
dstErr	Destination error pointer, may be null.

References AlcMalloc(), AlcVectorExtendAndGet(), AlcVectorFree(), AlcVectorItemGet(), AlcVectorNew(), _WlzGMModelR::edge, _WlzGMEdge::edgeT, _WlzGMEdge::idx, _WlzGMEdgeT::rad, _WlzGMModel::res, _WlzGMModel::type, _WlzGMResource::vec, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_MEM_ALLOC, WLZ_ERR_NONE, WLZ_GMMOD_2D, WLZ_GMMOD_2I, WLZ_GMMOD_2N, WLZ_GMMOD_3D, WLZ_GMMOD_3I, and WLZ_GMMOD_3N.

WlzGMLoopT* WlzGMEdgeTCommonLoopT	(	WlzGMEdgeT *	eT0,
		WlzGMEdgeT *	eT1
	)

Finds a loop topology element in common for the two edge topology elements.

Returns: Common loop topology element, NULL if it doesn't exist.

Parameters

eT0	First edge topology element.
eT1	Second edge topology element.

References _WlzGMEdgeT::parent.

Referenced by WlzGMModelConstructSimplex2N().

WlzGMEdge* WlzGMVertexCommonEdge	(	WlzGMVertex *	eV0,
		WlzGMVertex *	eV1
	)

Finds the edge common to the two given verticies.

Returns: Common edge, NULL if it doesn't exist.

Parameters

eV0	First vertex element.
eV1	Second vertex element.

References _WlzGMVertex::diskT, _WlzGMEdgeT::edge, _WlzGMVertexT::next, _WlzGMDiskT::next, _WlzGMVertexT::parent, and _WlzGMDiskT::vertexT.

Referenced by WlzGMModelConstructSimplex3N().

WlzGMShell* WlzGMVertexCommonShell	(	WlzGMVertex *	eV0,
		WlzGMVertex *	eV1
	)

Finds the shell common to the two given verticies.

Returns: Common shell, NULL if it doesn't exist.

Parameters

eV0	First vertex element.
eV1	Second vertex element.

References WlzGMVertexGetShell().

Referenced by WlzGMModelConstructSimplex3N(), and WlzGMVertexShellDist().

WlzGMShell* WlzGMVertexGetShell ( WlzGMVertex * eV )

Finds the parent shell of the given vertex.

Returns: The parent shell.

Parameters

eV	Given vertex element.

References _WlzGMVertex::diskT, _WlzGMVertexT::parent, _WlzGMEdgeT::parent, _WlzGMLoopT::parent, _WlzGMVertex::type, _WlzGMDiskT::vertexT, and WLZ_GMELM_VERTEX.

Referenced by WlzGMModelConstructS(), WlzGMModelConstructSimplex3N(), and WlzGMVertexCommonShell().

WlzGMShell* WlzGMEdgeGetShell ( WlzGMEdge * eE )

Finds the parent shell of the given edge.

Returns: The parent shell.

Parameters

eE	Given edge element.

References _WlzGMEdge::edgeT, _WlzGMEdgeT::parent, _WlzGMLoopT::parent, _WlzGMEdge::type, and WLZ_GMELM_EDGE.

Referenced by WlzGMModelConstructS().

WlzGMVertex* WlzGMEdgeCommonVertex	(	WlzGMEdge *	eE0,
		WlzGMEdge *	eE1
	)

Finds the common vertex of the two given edges.

Returns: The common vertex, NULL if it doesn't exist.

Parameters

eE0	First edge element.
eE1	Second edge element.

References _WlzGMVertexT::diskT, _WlzGMEdge::edgeT, _WlzGMEdgeT::opp, _WlzGMDiskT::vertex, and _WlzGMEdgeT::vertexT.

WlzGMVertex* WlzGMEdgeCommonVertexGetDiskTs	(	WlzGMEdge *	eE0,
		WlzGMEdge *	eE1,
		WlzGMDiskT **	dstDT0,
		WlzGMDiskT **	dstDT1
	)

Finds the common vertex of the two given edges and sets the disk topology element destination pointers if there is a common vertex. NULL*.

Returns: The common vertex, NULL if it doesn't exist.

Parameters

eE0	First edge element.
eE1	Second edge element.
dstDT0	First diskT destination pointer, must not be NULL.
dstDT1	Second diskT destination pointer, must not be NULL.

References _WlzGMVertexT::diskT, _WlzGMEdge::edgeT, _WlzGMEdgeT::opp, _WlzGMDiskT::vertex, and _WlzGMEdgeT::vertexT.

Referenced by WlzGMModelConstructS().

WlzGMDiskT* WlzGMEdgeCommonDiskT	(	WlzGMEdge *	eE0,
		WlzGMEdge *	eE1
	)

Finds the common disk topology element of the two given edges.

Returns: The common disk topology element, NULL if it doesn't exist.

Parameters

eE0	First edge element.
eE1	Second edge element.

References _WlzGMVertexT::diskT, _WlzGMEdge::edgeT, _WlzGMEdgeT::opp, and _WlzGMEdgeT::vertexT.

void WlzGMVertexTAppend	(	WlzGMVertexT *	eVT,
		WlzGMVertexT *	nVT
	)

Append new vertex topology element onto a doubly linked list of vertex topology element's, knowing that neither is NULL. Vertex topology elements are maintained in an unordered doubly linked list.

Returns: void

Parameters

eVT	Existing vertexT in list of vertexT's.
nVT	New vertex topology element to append to list after existing element.

References _WlzGMVertexT::next, and _WlzGMVertexT::prev.

Referenced by WlzGMModelConstructS().

void WlzGMDiskTAppend	(	WlzGMDiskT *	eDT,
		WlzGMDiskT *	nDT
	)

Append new edge topology onto a doubly linked list of disk topology element's, knowing that neither is NULL. Disk topology elements are maintained in an unordered doubly linked list.

Returns: void

Parameters

eDT	Existing disk topology element in list.
nDT	New disk topology element to append to list after existing element.

References _WlzGMDiskT::next, and _WlzGMDiskT::prev.

Referenced by WlzGMModelConstructS().

void WlzGMEdgeTAppend	(	WlzGMEdgeT *	eET,
		WlzGMEdgeT *	nET
	)

Append new edge topology onto a doubly linked list of edge topology element's, knowing that neither is NULL. Edge topology elements are maintained in an ordered doubly linked list, CCW around the inside of loops and CW around the outside of 2D loops.

Returns: void

Parameters

eET	Existing edge topology element in list.
nET	New edge topology element to append to list after existing element.

References _WlzGMEdgeT::next, and _WlzGMEdgeT::prev.

void WlzGMEdgeTInsert	(	WlzGMEdgeT *	eET,
		WlzGMEdgeT *	nET
	)

Insert new edge topology into a doubly linked list of edge topology element's, knowing that neither is NULL. Edge topology elements are maintained in an ordered doubly linked list, CCW around the inside of loops and CW around the outside of 2D loops.

Returns: void

Parameters

eET	Existing edge topology element in list.
nET	New edge topology element to insert in list before existing element.

References _WlzGMEdgeT::next, and _WlzGMEdgeT::prev.

void WlzGMEdgeTInsertRadial ( WlzGMEdgeT * nET )

Inserts the given new edge topology element into a radially sorted cyclic list of edge topology element's.

Returns

void

          Inserts the given new edge topology element into a
          radially sorted cyclic list of edge topology element's.
          In 2D the radial edgeT is always the edgeT itself and
          this function should not be called.
          In 3D the radial edge is a similarly directed edge
          topology element to the given edge topology element
          who's off edge vertex is the next CCW off edge vertex
          when viewed along the edge.

*                                      O <-                       
*                                     /    \                      
*                                    /      \ Next radial edge    
*                                   /        |                    
*                                  /         |                    
*                                 X----------O                    
*                           Given edge into    Off edge vertex
*                           screen/page        of new simplex
*

          Given a directed edge which forms part of a loop
          topology element in a new triangle simplex. Define
          points around the the simplex:

*                                O p1                                     
*                              ^ |\                                      
*                              | | \                                     
*                              | |  \                                    
*                              | |   \                                   
*                              | |    \                                  
*                          nET | |     O p2                               
*                              | |    /                                  
*                              | |   /                                   
*                              | |  /                                    
*                              | | /                                     
*                              | |/                                      
*                                O p0                                    
*

To find the next CCW simplex. Find the normal vector:

\[ n_0 = \frac{(p_0 - p_1)}{|p_0 - p_1|} \]

Find the normal vector perpendicular to the new (triangular) simplex:

\[ n_1 = \frac{n_0(p_2 - p_0)}{|n_0(p_2 - p_0)}\]

Find the normalized vector perpendicular to \(n_0\) and \(n_1\):

\[n_2 = n_0 n_1 \]

Because \(n_1\) and \(n_2\) are perpendicular axes in the plane perpendicular to \(p_1 - p_0\) we can compute the angle of any vector projected onto the plane as:

\[ \theta = \tan^{-1}{\frac{v_i n_2}{v_i n_1}}, 0 \leq \theta \leq 2\pi \]

where

\[v_i = p_{2i} - p_0\]

and \(p_{2i}\) are the \(p_2\) verticies on the candidate face. Use the projections to find the previous radial edge, then insert the edge in the cyclic radial list.

Parameters

nET	New edge topology element to insert in list. The new edge topology element MUST have all it's fields set EXCEPT for the radial edge link.

References _WlzGMVertexT::diskT, _WlzGMEdgeT::edge, _WlzGMEdge::edgeT, _WlzGMEdgeT::next, _WlzGMEdgeT::opp, _WlzGMEdgeT::prev, _WlzGMEdgeT::rad, _WlzGMDiskT::vertex, _WlzGMEdgeT::vertexT, _WlzDVertex2::vtX, _WlzDVertex2::vtY, WLZ_VTX_3_CROSS, WLZ_VTX_3_DOT, WLZ_VTX_3_LENGTH, WLZ_VTX_3_SCALE, WLZ_VTX_3_SUB, WlzGeomTriangleSnArea2(), and WlzGMVertexGetG3D().

Referenced by WlzGMModelConstructS().

void WlzGMLoopTAppend	(	WlzGMLoopT *	eLT,
		WlzGMLoopT *	nLT
	)

Append new loop topology onto a doubly linked list of loop topology element's, knowing that neither is NULL. Loop topology elements are maintained in an unordered doubly linked list.

Returns: void

Parameters

eLT	Existing loop topology element in list.
nLT	New loop topology element to append to list after existing element.

References _WlzGMLoopT::next, and _WlzGMLoopT::prev.

Referenced by WlzGMEdgeCommonFace(), WlzGMModelConstructS(), and WlzGMModelConstructSimplex3N().

void WlzGMLoopTUnlink ( WlzGMLoopT * dLT )

Unlinks the given loop topology element from a doubly linked list of loop topology element's, knowing that it is not NULL. If this is the only loop topology element in parent the parent's list of loop topology elements is set to NULL. Other elements which point to this loop topology element are not modified.

Returns: void

Parameters

dLT	Loop topology element to be unlinked.

References _WlzGMShell::child, _WlzGMLoopT::next, _WlzGMLoopT::parent, and _WlzGMLoopT::prev.

Referenced by WlzGMEdgeCommonFace(), WlzGMModelConstructS(), WlzGMModelConstructSimplex3N(), and WlzGMModelDeleteV().

void WlzGMEdgeTUnlink ( WlzGMEdgeT * dET )

Unlinks the given edge topology element from it's loop topology element and it's opposite edge topology element. The opposite edge topology element MUST be unlinked before the model is valid again.

Returns: void

Parameters

dET	Edge topology element to be unlinked.

References _WlzGMLoopT::edgeT, _WlzGMEdgeT::idx, _WlzGMEdgeT::next, _WlzGMEdgeT::opp, _WlzGMEdgeT::parent, and _WlzGMEdgeT::prev.

void WlzGMVertexTUnlink ( WlzGMVertexT * dVT )

Unlinks the given vertex topology element from a doubly linked list of vertex topology element's, knowing that it is not NULL. Since the parent of a vertex topology element is always an edge topology element and an edge topology element only ever uses a single vertex topology element, set the parent's vertex topology element pointer to NULL.

Returns: void

Parameters

dVT	Vertex topology element to be unlinked.

References _WlzGMVertexT::diskT, _WlzGMVertexT::next, _WlzGMVertexT::parent, _WlzGMVertexT::prev, _WlzGMDiskT::vertexT, and _WlzGMEdgeT::vertexT.

Referenced by WlzGMModelDeleteV().

void WlzGMDiskTUnlink ( WlzGMDiskT * dDT )

Unlinks the given disk topology element from a doubly linked list of disk topology element's, knowing that it is not NULL. If this is the only disk topology element of the vertex the vertex's list of disk topology elements is set to NULL. Other elements which point to this disk topology element are not modified.

Returns: void

Parameters

dDT	Disk topology element to be unlinked.

References _WlzGMVertex::diskT, _WlzGMDiskT::next, _WlzGMDiskT::prev, and _WlzGMDiskT::vertex.

Referenced by WlzGMDiskTJoin().

void WlzGMDiskTJoin	(	WlzGMDiskT *	gDT0,
		WlzGMDiskT *	gDT1
	)

Joins the given pair of disk topology elements on return the first of the diskTs has all the vertexTs of both and the second of the diskTs should be free'd without being unlinked.

Returns: void

Parameters

gDT0	First disk topology element.
gDT1	Second disk topology element which should be free'd on return.

References _WlzGMVertexT::diskT, _WlzGMVertexT::next, _WlzGMVertexT::prev, _WlzGMDiskT::vertexT, and WlzGMDiskTUnlink().

Referenced by WlzGMModelConstructS().

void WlzGMShellAppend	(	WlzGMShell *	eS,
		WlzGMShell *	nS
	)

Append new shell onto a doubly linked list of shells, knowing that neither is NULL. A model's shells are maintained in an unordered doubly linked list.

Returns: void

Parameters

eS	Existing shell in list of shells.
nS	New shell to append to list after existing shell.

References _WlzGMShell::next, and _WlzGMShell::prev.

Referenced by WlzGMModelConstructS(), and WlzGMModelDeleteV().

void WlzGMShellUnlink ( WlzGMShell * dS )

Unlinks the given shell from a doubly linked list of shells kept by the model, knowing that the given shell ptr is not NULL.

Returns: void

Parameters

dS	Shell to be unlinked.

References _WlzGMModel::child, _WlzGMShell::next, _WlzGMShell::parent, and _WlzGMShell::prev.

Referenced by WlzGMModelConstructS(), WlzGMModelDeleteS(), and WlzGMShellJoinAndUnlink().

void WlzGMShellJoinAndUnlink	(	WlzGMShell *	eShell,
		WlzGMShell *	dShell
	)

Joins the shell to be unlinked onto the shell that's to be extended and then unlinks (but does not free) it. Both shells must be valid.

Returns: void

Parameters

eShell	Shell to be extended.
dShell	Shell to be joined and then unlinked.

References WlzGMShellUnlink().

Referenced by WlzGMModelConstructS().

WlzGMResIdxTb* WlzGMModelResIdx	(	WlzGMModel *	model,
		unsigned int	eMsk,
		WlzErrorNum *	dstErr
	)

Makes an index look up table data structure for the given model.

Returns: New resource index table, NULL on error.

Parameters

model	The model with the vertex resources.
eMsk	Element mask with bits set for elemet resources to index.
dstErr	Destination error pointer, may be null.

Referenced by WlzCMeshFromGM(), WlzEffWriteObjObj(), WlzEffWriteObjPly2(), WlzEffWriteObjSMesh(), WlzEffWriteObjVtk(), WlzGMModelCopy(), and WlzWriteObj().

void WlzGMModelResIdxFree ( WlzGMResIdxTb * resIdxTb )

Frees a GM index look up table data structure.

Returns: void

Parameters

resIdxTb Given index lut data structure.

References AlcFree(), _WlzGMResIdxTb::diskT, _WlzGMResIdxTb::edge, _WlzGMResIdxTb::edgeT, _WlzGMResIdxTb::face, _WlzGMResIdx::idxLut, _WlzGMResIdxTb::loopT, _WlzGMResIdxTb::shell, _WlzGMResIdxTb::shellG, _WlzGMResIdxTb::vertex, _WlzGMResIdxTb::vertexG, and _WlzGMResIdxTb::vertexT.

Referenced by WlzEffWriteObjObj(), WlzEffWriteObjPly2(), WlzEffWriteObjSMesh(), WlzEffWriteObjStl(), WlzEffWriteObjVtk(), WlzGMModelCopy(), WlzGMModelResIdx(), and WlzWriteObj().

WlzErrorNum WlzGMModelRehashVHT	(	WlzGMModel *	model,
		int	vHTSz
	)

Rehash the vertex matching hash table.

Returns: Woolz error code.

Parameters

model	The model.
vHTSz	New vertex matching hash table size, no change if <= 0.

References AlcCalloc(), AlcFree(), AlcVectorItemGet(), _WlzGMVertex::idx, _WlzGMVertex::next, _WlzGMResource::numIdx, _WlzGMModel::res, _WlzGMResource::vec, _WlzGMModelR::vertex, _WlzGMModel::vertexHT, _WlzGMModel::vertexHTSz, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_MEM_ALLOC, WLZ_ERR_NONE, and WlzGMModelAddVertexToHT().

Referenced by WlzAffineTransformGMModel(), WlzBasisFnTransformGMModel(), WlzCMeshFlatten2D5(), WlzCMeshTransformManyObjAsIdx(), WlzEffWritePointsVtkFieldValues(), WlzGMFilterGeomLPLM(), WlzGMModelCopy(), and WlzShiftValues().

WlzErrorNum WlzGMModelConstructS	(	WlzGMModel *	cM,
		WlzGMShell *	gS
	)

Constructs a copy of the given shell in the current model. The curent model must be of the same type as the parent of the given shell and all the usual construction restrictions apply, see WlzGMModelConstructSimplex2D().

Returns: Woolz error code.

Parameters

cM	Current model.
gS	Given shell.

References _WlzGMShell::child, _WlzGMModel::child, _WlzGMVertexT::diskT, _WlzGMVertex::diskT, _WlzGMEdgeT::edge, _WlzGMEdge::edgeT, _WlzGMLoopT::edgeT, _WlzGMLoopT::face, _WlzGMFace::loopT, _WlzGMVertexT::next, _WlzGMDiskT::next, _WlzGMEdgeT::next, _WlzGMLoopT::next, _WlzGMShell::next, _WlzGMEdgeT::opp, _WlzGMLoopT::opp, _WlzGMVertexT::parent, _WlzGMEdgeT::parent, _WlzGMLoopT::parent, _WlzGMShell::parent, _WlzGMVertexT::prev, _WlzGMDiskT::prev, _WlzGMEdgeT::prev, _WlzGMLoopT::prev, _WlzGMShell::prev, _WlzGMEdgeT::rad, _WlzGMModel::type, _WlzGMDiskT::vertex, _WlzGMDiskT::vertexT, _WlzGMEdgeT::vertexT, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_NONE, WLZ_ERR_UNIMPLEMENTED, WLZ_GMMOD_2N, WlzGMDiskTAppend(), WlzGMDiskTJoin(), WlzGMEdgeCommonFace(), WlzGMEdgeCommonVertexGetDiskTs(), WlzGMEdgeGetShell(), WlzGMEdgeTInsertRadial(), WlzGMLoopTAppend(), WlzGMLoopTUnlink(), WlzGMModelAddVertexToHT(), WlzGMModelConstructSimplex2D(), WlzGMModelConstructSimplex2N(), WlzGMModelFreeDT(), WlzGMModelFreeLT(), WlzGMModelFreeS(), WlzGMModelGetDimension(), WlzGMModelNewE(), WlzGMModelNewET(), WlzGMModelNewF(), WlzGMModelNewLT(), WlzGMModelNewS(), WlzGMModelNewVT(), WlzGMShellAppend(), WlzGMShellGetGBBV3D(), WlzGMShellJoinAndUnlink(), WlzGMShellSetG2D(), WlzGMShellSetG3D(), WlzGMShellUnlink(), WlzGMShellUpdateG2D(), WlzGMShellUpdateG3D(), WlzGMVertexGetG2D(), WlzGMVertexGetG2N(), WlzGMVertexGetG3D(), WlzGMVertexGetShell(), and WlzGMVertexTAppend().

Referenced by WlzGMModelNewFromS().

WlzErrorNum WlzGMModelConstructSimplex2D	(	WlzGMModel *	model,
		WlzDVertex2 *	pos
	)

Constructs a 2D simplex (edge) defined by two double precision end points. Either of the two points may already exist within the model and the simplex must not intersect any existing simplex in the model. See WlzGMShellMatchVtxG2D() for the meaning of the backwards, forwards and distance search parameters.

Returns: Woolz error code.

Parameters

model	The model to add the segment to.
pos	Pointer to first then second positions.

References WLZ_ERR_NONE, and WlzGMModelConstructSimplex2N().

Referenced by WlzCMeshFlatten2D5(), WlzContourGrdObj2D(), WlzContourRBFBndObj3D(), WlzEffWritePointsVtkFieldValues(), WlzGetSectionFromGMModel(), WlzGMModelConstructS(), WlzObjToConvexPolygon(), and WlzReadObj().

WlzErrorNum WlzGMModelConstructSimplex2N	(	WlzGMModel *	model,
		WlzDVertex2 *	pos,
		WlzDVertex2 *	nrm
	)

Constructs a 2D simplex (edge) defined by two double precision end points with normal components. Either of the two points may already exist within the model and the simplex must not intersect any existing simplex in the model. See WlzGMShellMatchVtxG2D() for the meaning of the backwards, forwards and distance search parameters.

Returns: Woolz error code.

Parameters

model	The model to add the segment to.
pos	Pointer to first then second positions.
nrm	Pointer to the normal values in the same order as the positions, may be NULL.

References _WlzGMEdgeT::edge, _WlzGeomPolyListItem2D::prev, _WlzGMEdgeT::prev, WLZ_ERR_NONE, WLZ_GM_TOLERANCE_SQ, WlzGeomVtxEqual2D(), WlzGMEdgeTCommonLoopT(), WlzGMModelNewV(), WlzGMVertexSetG2D(), and WlzGMVertexSetG2N().

Referenced by WlzContourRBFBndObj3D(), WlzGMModelConstructS(), WlzGMModelConstructSimplex2D(), and WlzReadObj().

WlzErrorNum WlzGMModelConstructSimplex3D	(	WlzGMModel *	model,
		WlzDVertex3 *	pos
	)

Constructs a 3D simplex (triangle) defined by three double precision verticies, any of which may already exist within the model. If a new face is created then the child loopT of that face will have edgeT's that use the given vertices in their given order.

Returns: Woolz error code.

Parameters

model	The model to add the segment to.
pos	Pointer to triangle verticies.

References WLZ_ERR_NONE, and WlzGMModelConstructSimplex3N().

Referenced by WlzCMeshFlatten2D5(), WlzContourGrdObj2D(), WlzContourRBFBndObj3D(), WlzEffReadObjObj(), WlzEffReadObjPly2(), WlzEffReadObjSMesh(), WlzEffReadObjStl(), WlzEffWritePointsVtkFieldValues(), WlzGMModelCutDom(), WlzObjToConvexPolygon(), and WlzReadObj().

WlzErrorNum WlzGMModelConstructSimplex3N	(	WlzGMModel *	model,
		WlzDVertex3 *	pos,
		WlzDVertex3 *	nrm
	)

Constructs a 3D simplex (triangle) defined by three double precision verticies with normals, any of which may already exist within the model. If a new face is created then the child loopT of that face will have edgeT's that use the given vertices in their given order.

Returns: Woolz error code.

Parameters

model	The model to add the segment to.
pos	Pointer to triangle verticies.
nrm	Pointer to the normal values in the same order as the positions, may be NULL.

References _WlzGMShell::child, _WlzGMVertexT::diskT, _WlzGMLoopT::edgeT, _WlzGMFace::loopT, _WlzGMDiskT::next, _WlzGMEdgeT::next, _WlzGMEdgeT::opp, _WlzGMLoopT::opp, _WlzGMEdgeT::parent, _WlzGMLoopT::parent, _WlzGMDiskT::vertex, _WlzGMEdgeT::vertexT, WLZ_ERR_NONE, WLZ_GM_TOLERANCE_SQ, WlzGeomTriangleArea2Sq3(), WlzGMLoopTAppend(), WlzGMLoopTUnlink(), WlzGMModelMatchVertexG3D(), WlzGMModelNewV(), WlzGMVertexCommonEdge(), WlzGMVertexCommonShell(), WlzGMVertexGetShell(), WlzGMVertexSetG3D(), and WlzGMVertexSetG3N().

Referenced by WlzEffReadObjObj(), WlzGMModelConstructSimplex3D(), and WlzReadObj().

void WlzGMModelRemVertex	(	WlzGMModel *	model,
		WlzGMVertex *	dV
	)

Removes a vertex from the models vertex hash table. The vertex's geometry must have been set.

Returns: void

Parameters

model	The model.
dV	The vertex to remove from the models hash table.

References _WlzGMVertex::next, _WlzGMModel::vertexHT, _WlzGMModel::vertexHTSz, WLZ_GM_TOLERANCE, WlzGeomHashVtx3D(), WlzGMVertexCmpSign3D(), and WlzGMVertexGetG3D().

Referenced by WlzAffineTransformGMShell().

void WlzGMModelAddVertexToHT	(	WlzGMModel *	model,
		WlzGMVertex *	nV
	)

Adds a new vertex into the models vertex hash table. The vertex's geometry must have been set.

Returns: void

Parameters

model	The model.
nV	New vertex to insert into the models hash table.

References _WlzGMVertexT::diskT, _WlzGMVertex::diskT, _WlzGMVertexT::next, _WlzGMVertex::next, _WlzGMEdgeT::next, _WlzGMEdgeT::opp, _WlzGMVertexT::parent, _WlzGMDiskT::vertex, _WlzGMModel::vertexHT, _WlzGMModel::vertexHTSz, _WlzGMDiskT::vertexT, _WlzGMEdgeT::vertexT, _WlzDVertex2::vtX, _WlzDVertex2::vtY, WLZ_GM_TOLERANCE, WlzGeomCmpAngle(), WlzGeomHashVtx3D(), WlzGMModelMatchVertexG2D(), WlzGMVertexCmpSign3D(), WlzGMVertexGetG2D(), and WlzGMVertexGetG3D().

Referenced by WlzAffineTransformGMShell(), WlzGMModelConstructS(), and WlzGMModelRehashVHT().

int WlzGMShellSimplexCnt ( WlzGMShell * shell )

Counts the number of simplicies in the given shell. For 2D models the simplicies are edges and for 3D models they are loops.

Returns: Number of simplicies in given shell.

Parameters

shell The given shell.

References _WlzGMShell::child, _WlzGMEdgeT::edge, _WlzGMEdge::edgeT, _WlzGMLoopT::edgeT, _WlzGMLoopT::face, _WlzGMShell::idx, _WlzGMFace::loopT, _WlzGMEdgeT::next, _WlzGMLoopT::next, _WlzGMShell::parent, and WlzGMModelGetDimension().

Referenced by WlzGMFilterRmSmShells(), WlzMatchICPCtr(), and WlzMatchICPWeightMatches().

WlzGMGridWSp3D* WlzGeoModelGridWSpNew3D	(	WlzGMModel *	model,
		WlzGMElemType	elemType,
		WlzErrorNum *	dstErr
	)

Makes a new cell grid for the given elelemnt type in the given 3D model. See WlzGeoModelGridWSpSet3D().

Returns: New cell grid for the model.

Parameters

model	Given model.
elemType	Geometric model element type for the grid of cells.
dstErr	Destination error pointer, may be NULL.

References AlcCalloc(), _WlzGMGridWSp3D::elemType, _WlzGMResource::numElm, _WlzGMModel::type, WLZ_ERR_DOMAIN_DATA, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_MEM_ALLOC, WLZ_ERR_NONE, WLZ_GMMOD_3D, WLZ_GMMOD_3I, WLZ_GMMOD_3N, WlzGeoModelGridFree3D(), WlzGeoModelGridWSpSet3D(), and WlzGMModelGetRes().

Referenced by WlzGMModelCutDom().

WlzErrorNum WlzGeoModelGridWSpSet3D	(	WlzGMGridWSp3D *	grid,
		WlzGMModel *	model,
		WlzGMElemType	elemType
	)

Populates a 3D geometric model grid workspace from the given 3D model. Currently this function has only been implimented for when geometric models elements are faces all other types will result in and unimplimented error code.

Returns: New cell grid for the model.

Parameters

grid	Given grid to populate using model.
model	Given model.
elemType	Geometric model element type for the grid of cells.

References Alc3Free(), ALC_ER_NONE, AlcPtr3Malloc(), AlcVectorExtendAndGet(), AlcVectorItemGet(), AlcVectorNew(), ALG_MAX3, cbrt(), _WlzGMGridWSp3D::cells, _WlzGMGridWSp3D::cellSz, _WlzGMGridWSp3D::cellVec, _WlzGMGridWSp3D::cellVecMax, _WlzGMElemP::core, _WlzGMGridWSpCell3D::elem, _WlzGMElemP::face, _WlzGMCore::idx, _WlzGMGridWSp3D::nCells, _WlzGMGridWSpCell3D::next, _WlzGMResource::numElm, _WlzGMResource::numIdx, _WlzGMGridWSp3D::org, _WlzGMModel::type, _WlzGMResource::vec, _WlzIVertex3::vtX, _WlzDVertex3::vtX, _WlzIVertex3::vtY, _WlzDVertex3::vtY, _WlzIVertex3::vtZ, _WlzDVertex3::vtZ, WLZ_ERR_DOMAIN_DATA, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_MEM_ALLOC, WLZ_ERR_NONE, WLZ_ERR_PARAM_NULL, WLZ_ERR_UNIMPLEMENTED, WLZ_GMELM_FACE, WLZ_GMMOD_3D, WLZ_GMMOD_3I, WLZ_GMMOD_3N, WlzBoundingBoxGModel3D(), WlzBoundingBoxVtx3D(), WlzGeoModelGridCellsInDBox(), WlzGeomTriangleAABBIntersect3D(), WlzGMFaceGetG3D(), WlzGMModelGetRes(), _WlzIBox3::xMax, _WlzDBox3::xMax, _WlzIBox3::xMin, _WlzDBox3::xMin, _WlzIBox3::yMax, _WlzDBox3::yMax, _WlzIBox3::yMin, _WlzDBox3::yMin, _WlzIBox3::zMax, _WlzDBox3::zMax, _WlzIBox3::zMin, and _WlzDBox3::zMin.

Referenced by WlzGeoModelGridWSpNew3D().

WlzErrorNum WlzGeoModelGridFree3D ( WlzGMGridWSp3D * grid )

Frees the given geometric model cell grid.

Returns: Woolz error code.

Parameters

grid	Given grid to free.

References Alc3Free(), AlcFree(), AlcVectorFree(), _WlzGMGridWSp3D::cells, _WlzGMGridWSp3D::cellVec, and WLZ_ERR_NONE.

Referenced by WlzGeoModelGridWSpNew3D(), and WlzGMModelCutDom().

WlzIBox3 WlzGeoModelGridCellsInDBox	(	WlzGMGridWSp3D *	grid,
		WlzDBox3	dBox
	)

Computes the box of grid cells which encloses the given double box.

Returns: Box of grid cells which enclose the given box.

Parameters

grid	Given grid of cells.
dBox	Given double box.

References ALG_DBL_TOLLERANCE, _WlzGMGridWSp3D::cellSz, _WlzGMGridWSp3D::nCells, _WlzGMGridWSp3D::org, _WlzIVertex3::vtX, _WlzDVertex3::vtX, _WlzIVertex3::vtY, _WlzDVertex3::vtY, _WlzIVertex3::vtZ, _WlzDVertex3::vtZ, _WlzIBox3::xMax, _WlzDBox3::xMax, _WlzIBox3::xMin, _WlzDBox3::xMin, _WlzIBox3::yMax, _WlzDBox3::yMax, _WlzIBox3::yMin, _WlzDBox3::yMin, _WlzIBox3::zMax, _WlzDBox3::zMax, _WlzIBox3::zMin, and _WlzDBox3::zMin.

Referenced by WlzGeoModelGridWSpSet3D(), and WlzGMModelCutDom().

WlzGMModel* WlzGMModelCut	(	WlzGMModel *	given,
		WlzGMModel *	knife,
		WlzErrorNum *	dstErr
	)

Creates a new geometric model from the given model such that no elements of the given model which intersect with elements in the knife model are included. While this code seems to work for simple models errors have been seen with complex models. The code for this function and those static functions that it calls should be considered "under construction".

Returns: A new geometric model.

Parameters

given	Given model.
knife	Knife model.
dstErr	Destination error pointer, may be NULL.

References _WlzGMResource::numElm, _WlzGMModel::res, _WlzGMModel::type, _WlzGMModelR::vertex, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_NONE, WLZ_GMMOD_2D, WLZ_GMMOD_2I, WLZ_GMMOD_2N, WLZ_GMMOD_3D, WLZ_GMMOD_3I, WLZ_GMMOD_3N, WlzGMModelFree(), and WlzGMModelNew().

WlzGMModel* WlzGMModelCutDom	(	WlzGMModel *	given,
		WlzObject *	knife,
		WlzErrorNum *	dstErr
	)

Creates a new geometric model from the given model such that no elements of the given model which intersect with elements in the knife domain are included.

Returns: A new geometric model.

Parameters

given	Given model.
knife	Knife domain object.
dstErr	Destination error pointer, may be NULL.

References AlcVectorItemGet(), _WlzGMGridWSp3D::cells, _WlzDomain::core, _WlzObject::domain, _WlzGMGridWSpCell3D::elem, _WlzGMElemP::face, _WlzGMModelR::face, _WlzGMFace::idx, _WlzGMGridWSpCell3D::next, _WlzGMResource::numElm, _WlzGMResource::numIdx, _WlzDomain::p, _WlzGMModel::res, _WlzGMModel::type, _WlzObject::type, _WlzGeomPolyListItem2D::v, _WlzGMResource::vec, _WlzGMModelR::vertex, WLZ_2D_DOMAINOBJ, WLZ_3D_DOMAINOBJ, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_NONE, WLZ_ERR_OBJECT_NULL, WLZ_ERR_OBJECT_TYPE, WLZ_ERR_UNIMPLEMENTED, WLZ_GMELM_FACE, WLZ_GMMOD_2D, WLZ_GMMOD_2I, WLZ_GMMOD_2N, WLZ_GMMOD_3D, WLZ_GMMOD_3I, WLZ_GMMOD_3N, WlzBoundingBoxVtx3D(), WlzGeoModelGridCellsInDBox(), WlzGeoModelGridFree3D(), WlzGeoModelGridWSpNew3D(), WlzGeomTriangleTriangleIntersect3D(), WlzGMFaceGetG3D(), WlzGMModelConstructSimplex3D(), WlzGMModelFree(), WlzGMModelGetDimension(), WlzGMModelNew(), WlzInsideDomain3D(), _WlzIBox3::xMax, _WlzIBox3::xMin, _WlzIBox3::yMax, _WlzIBox3::yMin, _WlzIBox3::zMax, and _WlzIBox3::zMin.

WlzErrorNum WlzGMFilterRmSmShells	(	WlzGMModel *	model,
		int	minSpx
	)

Removes small shells from the given geometric model.

Returns: Woolz error code.

Parameters

model	Given model.
minSpx	Minimum number of simplicies (edges in a 2D model or faces in a 3D model) in a shell for it to stay in the model.

References _WlzGMModel::child, _WlzGMShell::next, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_NONE, WlzGMModelDeleteS(), and WlzGMShellSimplexCnt().

Referenced by WlzMatchICPCtr().

WlzErrorNum WlzGMFilterGeomLP	(	WlzGMModel *	model,
		double	kPB,
		double	kSB,
		double	dPB,
		double	dSB,
		int	maxItr,
		int	nonMan
	)

Performs a low pass filtering operation on the geometry of the model, given the band pass and band stop filter parameters. These parameters specify the transfer function of the low pass filter.

Returns

Woolz error code.

           \li  \form#397         The band pass frequency parameter 
                                  which is the interface between the
                            pass and transition bands of the
                            filter.
           \li  \form#398           The stop band frequency parameter
                            which is the interface between the
                            transition and stop bands of the
                            filter.
           \li  \form#399   The band pass delta parameter
                            which is the maximum deviation
                            from a flat response in the band
                            pass region.
           \li  \form#400   The stop band delta parameter
                            which is the maximum deviation
                            from a flat response in the stop
                            band region.

Note: See WlzGMFilterGeomLPParam() and WlzGMFilterGeomLPLM().

Parameters

model	Given model.
kPB	The band pass frequency parameter.
kSB	The band stop frequency parameter.
dPB	The pass band maximum deviation.
dSB	The stop band maximum deviation.
maxItr	Minimum number of itterations.
nonMan	If non-zero allows non manifold vertices to be filtered.

References WLZ_ERR_DOMAIN_NULL, WLZ_ERR_NONE, WlzGMFilterGeomLPLM(), and WlzGMFilterGeomLPParam().

WlzErrorNum WlzGMFilterGeomLPParam	(	double *	dstLambda,
		double *	dstMu,
		int *	dstNItr,
		double	kPB,
		double	kSB,
		double	dPB,
		double	dSB
	)

Computes the values of \(\lambda\) and \(\mu\) from the given low pass filter parameters \(k_{PB}\), \(k_{SB}\), \(\delta_{PB}\) and \(\delta_{SB}\). Valid filter parameters require: \(0 < k_{PB} < 1\), \(k_{PB} < k_{SB} < 2\), \(0 < \delta_{PB} < 1\) and \(0 < \delta_{SB} < 1\). If the parameters are outside of these ranges an error is returned, but these constrants are not sufficient for a good filter. Design tips are don't make the transition band too narrow (keep \(k_{PB}\) away from \(k_{SB}\)) and don't make \(\delta_{PB}\) or \(\delta_{SB}\) too small (try values of 0.1 for \(\delta_{PB}\) and \(\delta_{SB}\)). Good values for \(k_{PB}\) are probably in the range \([0.01-0.1]\). The values of \(\lambda\) and \(\mu\) in the transfer function of the filter

\[ f(k) = ((1 - {\lambda}k)(1 - {\mu}k))^N \]

are constrained by:

\[ 0 < N \]

\[ 0 < \lambda < -\mu < 1 \]

\[ \lambda < \frac{1}{k_{SB}} \]

\[ \frac{1}{\lambda} + \frac{1}{\mu} = k_{PB} \]

\[ {\left(\frac{{(\lambda - \mu)}^2} {-4\lambda\mu}\right)}^N < 1 + \delta_{PB} \]

\[ {\left(\frac{1 - \lambda k_{SB}} {1 - \mu k_{SB}}\right)}^N < \delta_{SB} \]

Following Taubin's fairing paper an additional constraint is imposed \(f(1) = -f(2)\), which allows a simple algebraic solution for \(\lambda\), \(\mu\). The value of \(N\) is then computed by taking the maximum of \(N_{PB}\) and \(N_{SB}\). So the algorithm used to compute the values of \(\lambda\), \(\mu\) and \(N\) is:

\[ \lambda = \frac{1}{3 k_{PB} - 5} (k_{PB} - \sqrt{k_{PB}^2 - 6 k_{PB} + 10}) \]

\[ \mu = \frac{1}{3 k_{PB} - 5} (k_{PB} + \sqrt{k_{PB}^2 - 6 k_{PB} + 10}) \]

\[ N_{PB} = \frac{\ln{(1 + \delta_{PB})}} {\ln{({(\lambda - \mu)}^2 (-4 \lambda \mu))}} \]

\[ N_{SB} = \frac{\ln{(\delta_{SB})}} {\ln{((1 - \lambda k_{SB})(1 - \mu k_{SB}))}} \]

\[ N = \max{(N_{PB}, N_{SB})} \]

.

Returns: Woolz error code.

Note: See WlzGMFilterGeomLP() and WlzGMFilterGeomLPLM().

Parameters

dstLambda	Destination pointer for the positive scale factor, must NOT be NULL.
dstMu	Destination pointer for the negative scale factor, must NOT be NULL.
dstNItr	Destination pointer for the number of itterations, may be NULL.
kPB	The band pass frequency parameter.
kSB	The band stop frequency parameter.
dPB	The pass band maximum deviation.
dSB	The stop band maximum deviation.

References WLZ_ERR_NONE, and WLZ_ERR_PARAM_DATA.

Referenced by WlzCMeshLPFilter(), and WlzGMFilterGeomLP().

WlzErrorNum WlzGMFilterGeomLPLM	(	WlzGMModel *	model,
		double	lambda,
		double	mu,
		int	nItr,
		int	nonMan
	)

Given values of \(\lambda\), \(\mu\) and the number of itterations \(N\), applies a low pass filter to the geometry of the given model.

Returns

Woolz error code.

    This filter is based on two papers by Taubin:
    \li Gabriel Taubin. Curve and Surface Smoothing without
        Shrinkage. International Conference on Computer
        Vision (ICCV'95) Conference Procedings, 827-857, 1995.
    \li Gabriel Taubin. A Signal Processing Approach to Fair
        Surface Design. Computer Graphics, 29, 351-358, 1995.

    The filter repeatedly applies a pair of filters to the
    geometry of the model vertices, of the form:

\[ {v_i}' = v_i + \lambda \Delta v_i \]

and

\[ {v_i}'' = {v_i}' + \mu \Delta {v_i}' \]

Where \(v_i\) is the geometry of the i'th vertex and \(Delta v_i\) is given by

\[ \Delta v_i = \sum_{j \in i^*}{w_{ij}(v_j - v_i)} \]

this is just the weighted sum of weighted differences between the vertex and it's first order neighbourhood, with \(i^*\) being the number of neighbours. The weights \(w_{ij}\) are computed using

\[ w_{ij} = \frac{1}{i^*} \]

If the topology of a vertex is manifold, then Taubin's filter is applied as set out in the two papers. But if the topology is non-manifold different stratagies are applied to prevent the shrinkage (in non-manifold regions) which Taubin's filter would cause.

For 2D models, non-manifold vertices, with either a single incident edge or more than two incident edges have their geometry preserved.
For 3D models, vertices on non-manifold edges only those verticies along the edge are considered to be neibours and vertices which are themselves non-manifold have their geometry preserved. The implementation of the filter makes use of a pair of buffers which contain the vertex positions during the itterations. Only when the filter has completed the itterations are the vertex hash table and shell geometries are recomputed.

Note: See WlzGMFilterGeomLP() and WlzGMFilterGeomLPParam().

Parameters

model	The geometric model.
lambda	Positive filter parameter.
mu	Negative filter parameter.
nItr	Number of itterations.
nonMan	If non-zero allows non manifold vertices to be filtered.

References AlcMalloc(), AlcVectorItemGet(), _WlzVertexP::d2, _WlzVertexP::d3, _WlzGMVertexT::diskT, _WlzGMVertex::diskT, _WlzGMVertex::geo, _WlzVertexP::i2, _WlzVertexP::i3, _WlzGMVertex::idx, _WlzGMDiskT::next, _WlzGMEdgeT::next, _WlzGMResource::numIdx, _WlzGMEdgeT::opp, _WlzGMVertexT::parent, _WlzGMEdgeT::prev, _WlzGMEdgeT::rad, _WlzGMModel::res, _WlzGMModel::type, _WlzVertexP::v, _WlzGMResource::vec, _WlzGMDiskT::vertex, _WlzGMModelR::vertex, _WlzGMDiskT::vertexT, _WlzGMEdgeT::vertexT, _WlzGMVertexGU::vg2D, _WlzGMVertexGU::vg2I, _WlzGMVertexGU::vg2N, _WlzGMVertexGU::vg3D, _WlzGMVertexGU::vg3I, _WlzGMVertexGU::vg3N, _WlzIVertex2::vtX, _WlzDVertex2::vtX, _WlzIVertex3::vtX, _WlzDVertex3::vtX, _WlzGMVertexG2I::vtx, _WlzGMVertexG2D::vtx, _WlzGMVertexG2N::vtx, _WlzGMVertexG3I::vtx, _WlzGMVertexG3D::vtx, _WlzGMVertexG3N::vtx, _WlzIVertex2::vtY, _WlzDVertex2::vtY, _WlzIVertex3::vtY, _WlzDVertex3::vtY, _WlzIVertex3::vtZ, _WlzDVertex3::vtZ, WLZ_ERR_DOMAIN_DATA, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_GMELM_TYPE, WLZ_ERR_MEM_ALLOC, WLZ_ERR_NONE, WLZ_ERR_PARAM_DATA, WLZ_GMMOD_2D, WLZ_GMMOD_2I, WLZ_GMMOD_2N, WLZ_GMMOD_3D, WLZ_GMMOD_3I, WLZ_GMMOD_3N, WLZ_NINT, WLZ_VERTEX_D2, WLZ_VERTEX_D3, WLZ_VTX_3_ADD, WlzDVerticesFromGM(), WlzGMModelGetDimension(), WlzGMModelRehashVHT(), and WlzGMModelSetSG().

Referenced by WlzGMFilterGeomLP().

int WlzGMModelSpxStats	(	WlzGMModel *	model,
		double *	dstMin,
		double *	dstMax,
		double *	dstSum,
		double *	dstSumSq,
		double *	dstMean,
		double *	dstStdDev,
		WlzErrorNum *	dstErr
	)

Calculates statistics of the simplices in the given geometric model. This can be useful for checking the quality of a given model.

Returns: Number of simplices in the model.

Parameters

model	Given model.
dstMin	Destination pointer for minimum simplex length or area, may be NULL.
dstMax	Destination pointer for maximum simplex length or area, may be NULL.
dstSum	Destination pointer for sum of simplex length or area, may be NULL.
dstSumSq	Destination pointer for sum of squares of simplex length or area, may be NULL.
dstMean	Destination pointer for mean simplex length or area, may be NULL.
dstStdDev	Standard deviation of simplex length or area, may be NULL.
dstErr	Destination pointer for error number, may be NULL if not required.

References AlcVectorItemGet(), _WlzVertex::d2, _WlzVertex::d3, _WlzGMVertexT::diskT, _WlzGMModelR::edge, _WlzGMEdge::edgeT, _WlzGMLoopT::edgeT, _WlzGMModelR::face, _WlzGMEdge::idx, _WlzGMFace::idx, _WlzGMFace::loopT, _WlzGMEdgeT::next, _WlzGMEdgeT::opp, _WlzGMEdgeT::prev, _WlzGMModel::res, _WlzGMModel::type, _WlzGMResource::vec, _WlzGMDiskT::vertex, _WlzGMEdgeT::vertexT, WLZ_ERR_DOMAIN_NULL, WLZ_ERR_DOMAIN_TYPE, WLZ_ERR_NONE, WLZ_GMMOD_2D, WLZ_GMMOD_2I, WLZ_GMMOD_2N, WLZ_GMMOD_3D, WLZ_GMMOD_3I, WLZ_GMMOD_3N, WLZ_VTX_2_SQRLEN, WLZ_VTX_2_SUB, WlzGeomTriangleArea2Sq3(), WlzGMVertexGetG2D(), and WlzGMVertexGetG3D().

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