vtkTetra Class Reference

#include <vtkTetra.h>

Inheritance diagram for vtkTetra:

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Collaboration diagram for vtkTetra:

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List of all members.


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
Tests:
vtkTetra (Tests)

Definition at line 41 of file vtkTetra.h.

static void InterpolationFunctions (double pcoords[3], double weights[4])
static void InterpolationDerivs (double pcoords[3], double derivs[12])
virtual void InterpolateFunctions (double pcoords[3], double weights[4])
virtual void InterpolateDerivs (double pcoords[3], double derivs[12])

Public Types

typedef vtkCell3D Superclass

Public Member Functions

virtual const char * GetClassName ()
virtual int IsA (const char *type)
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 ()
vtkCellGetEdge (int edgeId)
vtkCellGetFace (int faceId)
void Contour (double value, vtkDataArray *cellScalars, vtkPointLocator *locator, vtkCellArray *verts, vtkCellArray *lines, vtkCellArray *polys, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd)
void Clip (double value, vtkDataArray *cellScalars, vtkPointLocator *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 ()

Static Public Member Functions

static vtkTetraNew ()
static int IsTypeOf (const char *type)
static vtkTetraSafeDownCast (vtkObject *o)
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

 vtkTetra ()
 ~vtkTetra ()

Protected Attributes

vtkLineLine
vtkTriangleTriangle

Member Typedef Documentation

Reimplemented from vtkCell3D.

Definition at line 45 of file vtkTetra.h.


Constructor & Destructor Documentation

vtkTetra::vtkTetra (  )  [protected]

vtkTetra::~vtkTetra (  )  [protected]


Member Function Documentation

static 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]

Reimplemented from vtkCell3D.

static int vtkTetra::IsTypeOf ( const char *  name  )  [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 vtkTypeRevisionMacro found in vtkSetGet.h.

Reimplemented from vtkCell3D.

virtual int vtkTetra::IsA ( const char *  name  )  [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 vtkTypeRevisionMacro found in vtkSetGet.h.

Reimplemented from vtkCell3D.

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

Reimplemented from vtkCell3D.

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

Methods invoked by print to print information about the object including superclasses. Typically not called by the user (use Print() instead) but used in the hierarchical print process to combine the output of several classes.

Reimplemented from vtkCell3D.

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

See vtkCell3D API for description of these methods.

Implements vtkCell3D.

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

See vtkCell3D API for description of these methods.

Implements vtkCell3D.

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

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 56 of file vtkTetra.h.

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

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 57 of file vtkTetra.h.

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

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 58 of file vtkTetra.h.

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

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

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

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

void vtkTetra::Contour ( double  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 vtkCell3D.

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

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

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

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

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

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

int vtkTetra::Triangulate ( int  index,
vtkIdList ptIds,
vtkPoints pts 
) [virtual]

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

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

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

virtual double* vtkTetra::GetParametricCoords (  )  [virtual]

See the vtkCell API for descriptions of these methods.

Reimplemented from vtkCell.

int vtkTetra::CellBoundary ( int  subId,
double  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.

Implements vtkCell.

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

Return the center of the tetrahedron in parametric coordinates.

Reimplemented from vtkCell.

Definition at line 184 of file vtkTetra.h.

double vtkTetra::GetParametricDistance ( double  pcoords[3]  )  [virtual]

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

Reimplemented from vtkCell.

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::InterpolateFunctions as of VTK 5.2

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

Deprecated:
Replaced by vtkTetra::InterpolateFunctions as of VTK 5.2

Definition at line 155 of file vtkTetra.h.

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

Deprecated:
Replaced by vtkTetra::InterpolateFunctions as of VTK 5.2

Definition at line 159 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 176 of file vtkTetra.h.

Definition at line 177 of file vtkTetra.h.


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

Generated on Wed Jun 3 19:39:06 2009 for VTK by  doxygen 1.5.6