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vtkTetra Class Reference

a 3D cell that represents a tetrahedron. More...

#include <vtkTetra.h>

Inheritance diagram for vtkTetra:

[legend]Collaboration diagram for vtkTetra:

Public Methods
virtual const char *	GetClassName ()
virtual int	IsA (const char *type)
int	CellBoundary (int subId, float pcoords[3], vtkIdList *pts)
int	GetParametricCenter (float pcoords[3])
int	JacobianInverse (double **inverse, float derivs[12])

virtual void	GetEdgePoints (int edgeId, int *&pts)
virtual void	GetFacePoints (int faceId, int *&pts)

vtkCell *	MakeObject ()
int	GetCellType ()
int	GetNumberOfEdges ()
int	GetNumberOfFaces ()
vtkCell *	GetEdge (int edgeId)
vtkCell *	GetFace (int faceId)
void	Contour (float value, vtkDataArray cellScalars, vtkPointLocator locator, vtkCellArray verts, vtkCellArray lines, vtkCellArray polys, vtkPointData inPd, vtkPointData outPd, vtkCellData inCd, vtkIdType cellId, vtkCellData *outCd)
void	Clip (float value, vtkDataArray cellScalars, vtkPointLocator locator, vtkCellArray connectivity, vtkPointData inPd, vtkPointData outPd, vtkCellData inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut)
int	EvaluatePosition (float x[3], float closestPoint, int &subId, float pcoords[3], float &dist2, float weights)
void	EvaluateLocation (int &subId, float pcoords[3], float x[3], float *weights)
int	IntersectWithLine (float p1[3], float p2[3], float tol, float &t, float x[3], float pcoords[3], int &subId)
int	Triangulate (int index, vtkIdList ptIds, vtkPoints pts)
void	Derivatives (int subId, float pcoords[3], float values, int dim, float derivs)
Static Public Methods
vtkTetra *	New ()
int	IsTypeOf (const char *type)
vtkTetra *	SafeDownCast (vtkObject *o)

void	TetraCenter (float p1[3], float p2[3], float p3[3], float p4[3], float center[3])

double	Circumsphere (double p1[3], double p2[3], double p3[3], double p4[3], double center[3])

int	BarycentricCoords (double x[3], double x1[3], double x2[3], double x3[3], double x4[3], double bcoords[4])

double	ComputeVolume (double p1[3], double p2[3], double p3[3], double p4[3])

void	InterpolationFunctions (float pcoords[3], float weights[4])
void	InterpolationDerivs (float derivs[12])
int *	GetEdgeArray (int edgeId)
int *	GetFaceArray (int faceId)
Protected Methods
	vtkTetra ()
	~vtkTetra ()
Protected Attributes
vtkLine *	Line
vtkTriangle *	Triangle

Detailed Description

a 3D cell that represents a tetrahedron.

Date:: 2001/11/02 16:41:22

Revision:: 1.66

vtkTetra is a concrete implementation of vtkCell to represent a 3D tetrahedron.

Examples:: vtkTetra (Examples)

Tests:: vtkTetra (Tests)

Definition at line 65 of file vtkTetra.h.

Constructor & Destructor Documentation

vtkTetra::vtkTetra ( ) [protected]

vtkTetra::~vtkTetra ( ) [protected]

Member Function Documentation

vtkTetra* vtkTetra::New ( ) [static]

Create an object with Debug turned off, modified time initialized to zero, and reference counting on.
Reimplemented from vtkObject.

virtual const char* vtkTetra::GetClassName ( ) [virtual]

Return the class name as a string. This method is defined in all subclasses of vtkObject with the vtkTypeMacro found in vtkSetGet.h.
Reimplemented from vtkCell3D.

int vtkTetra::IsTypeOf ( const char * type ) [static]

Return 1 if this class type is the same type of (or a subclass of) the named class. Returns 0 otherwise. This method works in combination with vtkTypeMacro found in vtkSetGet.h.
Reimplemented from vtkCell3D.

virtual int vtkTetra::IsA ( const char * type ) [virtual]

Return 1 if this class is the same type of (or a subclass of) the named class. Returns 0 otherwise. This method works in combination with vtkTypeMacro found in vtkSetGet.h.
Reimplemented from vtkCell3D.

vtkTetra* vtkTetra::SafeDownCast ( vtkObject * o ) [static]

Will cast the supplied object to vtkObject* is this is a safe operation (i.e., a safe downcast); otherwise NULL is returned. This method is defined in all subclasses of vtkObject with the vtkTypeMacro found in vtkSetGet.h.
Reimplemented from vtkCell3D.

virtual void vtkTetra::GetEdgePoints ( int edgeId,

int *& pts

) [virtual]

See vtkCell3D API for description of these methods.
Reimplemented from vtkCell3D.

virtual void vtkTetra::GetFacePoints ( int faceId,

int *& pts

) [virtual]

See vtkCell3D API for description of these methods.
Reimplemented from vtkCell3D.

vtkCell* vtkTetra::MakeObject ( ) [virtual]

See the vtkCell API for descriptions of these methods.
Reimplemented from vtkCell.

int vtkTetra::GetCellType ( ) [inline, virtual]

See the vtkCell API for descriptions of these methods.
Reimplemented from vtkCell.
Definition at line 80 of file vtkTetra.h.

int vtkTetra::GetNumberOfEdges ( ) [inline, virtual]

See the vtkCell API for descriptions of these methods.
Reimplemented from vtkCell.
Definition at line 81 of file vtkTetra.h.

int vtkTetra::GetNumberOfFaces ( ) [inline, virtual]

See the vtkCell API for descriptions of these methods.
Reimplemented from vtkCell.
Definition at line 82 of file vtkTetra.h.

vtkCell* vtkTetra::GetEdge ( int edgeId ) [virtual]

See the vtkCell API for descriptions of these methods.
Reimplemented from vtkCell.

vtkCell* vtkTetra::GetFace ( int faceId ) [virtual]

See the vtkCell API for descriptions of these methods.
Reimplemented from vtkCell.

void vtkTetra::Contour ( float value,

vtkDataArray * cellScalars,

vtkPointLocator * locator,

vtkCellArray * verts,

vtkCellArray * lines,

vtkCellArray * polys,

vtkPointData * inPd,

vtkPointData * outPd,

vtkCellData * inCd,

vtkIdType cellId,

vtkCellData * outCd

) [virtual]

See the vtkCell API for descriptions of these methods.
Reimplemented from vtkCell.

void vtkTetra::Clip ( float value,

vtkDataArray * cellScalars,

vtkPointLocator * locator,

vtkCellArray * connectivity,

vtkPointData * inPd,

vtkPointData * outPd,

vtkCellData * inCd,

vtkIdType cellId,

vtkCellData * outCd,

int insideOut

) [virtual]

See the vtkCell API for descriptions of these methods.
Reimplemented from vtkCell3D.

int vtkTetra::EvaluatePosition ( float x[3],

float * closestPoint,

int & subId,

float pcoords[3],

float & dist2,

float * weights

) [virtual]

See the vtkCell API for descriptions of these methods.
Reimplemented from vtkCell.

void vtkTetra::EvaluateLocation ( int & subId,

float pcoords[3],

float x[3],

float * weights

) [virtual]

See the vtkCell API for descriptions of these methods.
Reimplemented from vtkCell.

int vtkTetra::IntersectWithLine ( float p1[3],

float p2[3],

float tol,

float & t,

float x[3],

float pcoords[3],

int & subId

) [virtual]

See the vtkCell API for descriptions of these methods.
Reimplemented from vtkCell.

int vtkTetra::Triangulate ( int index,

vtkIdList * ptIds,

vtkPoints * pts

) [virtual]

See the vtkCell API for descriptions of these methods.
Reimplemented from vtkCell.

void vtkTetra::Derivatives ( int subId,

float pcoords[3],

float * values,

int dim,

float * derivs

) [virtual]

See the vtkCell API for descriptions of these methods.
Reimplemented from vtkCell.

int vtkTetra::CellBoundary ( int subId,

float pcoords[3],

vtkIdList * pts

) [virtual]

Returns the set of points that are on the boundary of the tetrahedron that are closest parametrically to the point specified. This may include faces, edges, or vertices.
Reimplemented from vtkCell.

int vtkTetra::GetParametricCenter ( float pcoords[3] ) [inline, virtual]

Return the center of the tetrahedron in parametric coordinates.
Reimplemented from vtkCell.
Definition at line 176 of file vtkTetra.h.

void vtkTetra::TetraCenter ( float p1[3],

float p2[3],

float p3[3],

float p4[3],

float center[3]

) [static]

Compute the center of the tetrahedron,

double vtkTetra::Circumsphere ( double p1[3],

double p2[3],

double p3[3],

double p4[3],

double center[3]

) [static]

Compute the circumcenter (center[3]) and radius (method return value) of a tetrahedron defined by the four points x1, x2, x3, and x4.

int vtkTetra::BarycentricCoords ( double x[3],

double x1[3],

double x2[3],

double x3[3],

double x4[3],

double bcoords[4]

) [static]

Given a 3D point x[3], determine the barycentric coordinates of the point. Barycentric coordinates are a natural coordinate system for simplices that express a position as a linear combination of the vertices. For a tetrahedron, there are four barycentric coordinates (because there are four vertices), and the sum of the coordinates must equal 1. If a point x is inside a simplex, then all four coordinates will be strictly positive. If three coordinates are zero (so the fourth =1), then the point x is on a vertex. If two coordinates are zero, the point x is on an edge (and so on). In this method, you must specify the vertex coordinates x1->x4. Returns 0 if tetrahedron is degenerate.

double vtkTetra::ComputeVolume ( double p1[3],

double p2[3],

double p3[3],

double p4[3]

) [static]

Compute the volume of a tetrahedron defined by the four points p1, p2, p3, and p4.

int vtkTetra::JacobianInverse ( double ** inverse,

float derivs[12]

)

Given parametric coordinates compute inverse Jacobian transformation matrix. Returns 9 elements of 3x3 inverse Jacobian plus interpolation function derivatives. Returns 0 if no inverse exists.

void vtkTetra::InterpolationFunctions ( float pcoords[3],

float weights[4]

) [static]

Tetra specific methods.

void vtkTetra::InterpolationDerivs ( float derivs[12] ) [static]

Tetra specific methods.

int* vtkTetra::GetEdgeArray ( int edgeId ) [static]

Tetra specific methods.

int* vtkTetra::GetFaceArray ( int faceId ) [static]

Tetra specific methods.

Member Data Documentation

vtkLine* vtkTetra::Line [protected]

Definition at line 168 of file vtkTetra.h.

vtkTriangle* vtkTetra::Triangle [protected]

Definition at line 169 of file vtkTetra.h.

The documentation for this class was generated from the following file:

Common/vtkTetra.h

Generated on Thu Mar 28 14:43:38 2002 for VTK by

vtkTetra Class Reference

Public Methods

Static Public Methods

Protected Methods

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation