vtkTetra Class Reference

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

#include <vtkTetra.h>

Inherits vtkCell3D.

Collaboration diagram for vtkTetra:

Public Types
typedef vtkCell3D	Superclass

Public Member Functions
virtual int	IsA (const char *type)
vtkTetra *	NewInstance () const
void	PrintSelf (ostream &os, vtkIndent indent)
int	CellBoundary (int subId, double pcoords[3], vtkIdList *pts)
int	GetParametricCenter (double pcoords[3])
double	GetParametricDistance (double pcoords[3])
int	JacobianInverse (double **inverse, double derivs[12])
virtual void	GetEdgePoints (int edgeId, int *&pts)
virtual void	GetFacePoints (int faceId, int *&pts)
int	GetCellType ()
int	GetNumberOfEdges ()
int	GetNumberOfFaces ()
vtkCell *	GetEdge (int edgeId)
vtkCell *	GetFace (int faceId)
void	Contour (double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *verts, vtkCellArray *lines, vtkCellArray *polys, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd)
void	Clip (double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *connectivity, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut)
int	EvaluatePosition (double x[3], double *closestPoint, int &subId, double pcoords[3], double &dist2, double *weights)
void	EvaluateLocation (int &subId, double pcoords[3], double x[3], double *weights)
int	IntersectWithLine (double p1[3], double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId)
int	Triangulate (int index, vtkIdList *ptIds, vtkPoints *pts)
void	Derivatives (int subId, double pcoords[3], double *values, int dim, double *derivs)
virtual double *	GetParametricCoords ()
virtual void	InterpolateFunctions (double pcoords[3], double weights[4])
virtual void	InterpolateDerivs (double pcoords[3], double derivs[12])

Static Public Member Functions
static vtkTetra *	New ()
static int	IsTypeOf (const char *type)
static vtkTetra *	SafeDownCast (vtkObjectBase *o)
static void	InterpolationFunctions (double pcoords[3], double weights[4])
static void	InterpolationDerivs (double pcoords[3], double derivs[12])
static void	TetraCenter (double p1[3], double p2[3], double p3[3], double p4[3], double center[3])
static double	Circumsphere (double p1[3], double p2[3], double p3[3], double p4[3], double center[3])
static double	Insphere (double p1[3], double p2[3], double p3[3], double p4[3], double center[3])
static int	BarycentricCoords (double x[3], double x1[3], double x2[3], double x3[3], double x4[3], double bcoords[4])
static double	ComputeVolume (double p1[3], double p2[3], double p3[3], double p4[3])
static int *	GetEdgeArray (int edgeId)
static int *	GetFaceArray (int faceId)

Protected Member Functions
virtual vtkObjectBase *	NewInstanceInternal () const
	vtkTetra ()
	~vtkTetra ()

Protected Attributes
vtkLine *	Line
vtkTriangle *	Triangle

Detailed Description

a 3D cell that represents a tetrahedron

vtkTetra is a concrete implementation of vtkCell to represent a 3D tetrahedron. vtkTetra uses the standard isoparametric shape functions for a linear tetrahedron. The tetrahedron is defined by the four points (0-3); where (0,1,2) is the base of the tetrahedron which, using the right hand rule, forms a triangle whose normal points in the direction of the fourth point.

See Also

vtkConvexPointSet vtkHexahedron vtkPyramid vtkVoxel vtkWedge

Examples:

vtkTetra (Examples)

Tests:

vtkTetra (Tests)

Definition at line 46 of file vtkTetra.h.

Member Typedef Documentation

typedef vtkCell3D vtkTetra::Superclass

Definition at line 50 of file vtkTetra.h.

Constructor & Destructor Documentation

vtkTetra::vtkTetra ( )

protected

vtkTetra::~vtkTetra ( )

protected

Member Function Documentation

static vtkTetra* vtkTetra::New ( )

static

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

static

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

virtual

static vtkTetra* vtkTetra::SafeDownCast ( vtkObjectBase *  o )

static

virtual vtkObjectBase* vtkTetra::NewInstanceInternal ( ) const

protectedvirtual

vtkTetra* vtkTetra::NewInstance

(

)

const

void vtkTetra::PrintSelf	(	ostream &	os,
		vtkIndent	indent
	)

virtual void vtkTetra::GetEdgePoints ( int  edgeId, int *&  pts  )

virtual

See vtkCell3D API for description of these methods.

virtual void vtkTetra::GetFacePoints ( int  faceId, int *&  pts  )

virtual

See vtkCell3D API for description of these methods.

int vtkTetra::GetCellType ( )

inline

See the vtkCell API for descriptions of these methods.

Definition at line 61 of file vtkTetra.h.

int vtkTetra::GetNumberOfEdges ( )

inline

See the vtkCell API for descriptions of these methods.

Definition at line 62 of file vtkTetra.h.

int vtkTetra::GetNumberOfFaces ( )

inline

See the vtkCell API for descriptions of these methods.

Definition at line 63 of file vtkTetra.h.

vtkCell* vtkTetra::GetEdge

(

int

edgeId

)

See the vtkCell API for descriptions of these methods.

vtkCell* vtkTetra::GetFace

(

int

faceId

)

See the vtkCell API for descriptions of these methods.

void vtkTetra::Contour	(	double	value,
		vtkDataArray *	cellScalars,
		vtkIncrementalPointLocator *	locator,
		vtkCellArray *	verts,
		vtkCellArray *	lines,
		vtkCellArray *	polys,
		vtkPointData *	inPd,
		vtkPointData *	outPd,
		vtkCellData *	inCd,
		vtkIdType	cellId,
		vtkCellData *	outCd
	)

See the vtkCell API for descriptions of these methods.

void vtkTetra::Clip	(	double	value,
		vtkDataArray *	cellScalars,
		vtkIncrementalPointLocator *	locator,
		vtkCellArray *	connectivity,
		vtkPointData *	inPd,
		vtkPointData *	outPd,
		vtkCellData *	inCd,
		vtkIdType	cellId,
		vtkCellData *	outCd,
		int	insideOut
	)

See the vtkCell API for descriptions of these methods.

int vtkTetra::EvaluatePosition	(	double	x[3],
		double *	closestPoint,
		int &	subId,
		double	pcoords[3],
		double &	dist2,
		double *	weights
	)

See the vtkCell API for descriptions of these methods.

void vtkTetra::EvaluateLocation	(	int &	subId,
		double	pcoords[3],
		double	x[3],
		double *	weights
	)

See the vtkCell API for descriptions of these methods.

int vtkTetra::IntersectWithLine	(	double	p1[3],
		double	p2[3],
		double	tol,
		double &	t,
		double	x[3],
		double	pcoords[3],
		int &	subId
	)

See the vtkCell API for descriptions of these methods.

int vtkTetra::Triangulate	(	int	index,
		vtkIdList *	ptIds,
		vtkPoints *	pts
	)

See the vtkCell API for descriptions of these methods.

void vtkTetra::Derivatives	(	int	subId,
		double	pcoords[3],
		double *	values,
		int	dim,
		double *	derivs
	)

See the vtkCell API for descriptions of these methods.

virtual double* vtkTetra::GetParametricCoords ( )

virtual

See the vtkCell API for descriptions of these methods.

int vtkTetra::CellBoundary	(	int	subId,
		double	pcoords[3],
		vtkIdList *	pts
	)

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.

int vtkTetra::GetParametricCenter ( double  pcoords[3] )

inline

Return the center of the tetrahedron in parametric coordinates.

Definition at line 187 of file vtkTetra.h.

double vtkTetra::GetParametricDistance

(

double

pcoords[3]

)

Return the distance of the parametric coordinate provided to the cell. If inside the cell, a distance of zero is returned.

static void vtkTetra::TetraCenter ( double  p1[3], double  p2[3], double  p3[3], double  p4[3], double  center[3]  )

static

Compute the center of the tetrahedron,

static 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 squared (method return value) of a tetrahedron defined by the four points x1, x2, x3, and x4.

static double vtkTetra::Insphere ( double  p1[3], double  p2[3], double  p3[3], double  p4[3], double  center[3]  )

static

Compute the center (center[3]) and radius (method return value) of a sphere that just fits inside the faces of a tetrahedron defined by the four points x1, x2, x3, and x4.

static 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.

static 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,
		double	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.

static void vtkTetra::InterpolationFunctions ( double  pcoords[3], double  weights[4]  )

static

Deprecated:

Replaced by vtkTetra::InterpolateFunctions as of VTK 5.2

static void vtkTetra::InterpolationDerivs ( double  pcoords[3], double  derivs[12]  )

static

Deprecated:

Replaced by vtkTetra::InterpolateDerivs as of VTK 5.2

virtual void vtkTetra::InterpolateFunctions ( double  pcoords[3], double  weights[4]  )

inlinevirtual

Compute the interpolation functions/derivatives (aka shape functions/derivatives)

Definition at line 158 of file vtkTetra.h.

virtual void vtkTetra::InterpolateDerivs ( double  pcoords[3], double  derivs[12]  )

inlinevirtual

Compute the interpolation functions/derivatives (aka shape functions/derivatives)

Definition at line 162 of file vtkTetra.h.

static int* vtkTetra::GetEdgeArray ( int  edgeId )

static

Return the ids of the vertices defining edge/face (edgeId/`faceId'). Ids are related to the cell, not to the dataset.

static int* vtkTetra::GetFaceArray ( int  faceId )

static

Return the ids of the vertices defining edge/face (edgeId/`faceId'). Ids are related to the cell, not to the dataset.

Member Data Documentation

vtkLine* vtkTetra::Line

protected

Definition at line 179 of file vtkTetra.h.

vtkTriangle* vtkTetra::Triangle

protected

Definition at line 180 of file vtkTetra.h.

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

• dox/Common/DataModel/vtkTetra.h