Main Page   Class Hierarchy   Alphabetical List   Compound List   File List   Compound Members   File Members   Related Pages  

vtkTetra Class Reference

#include <vtkTetra.h>

Inheritance diagram for vtkTetra:

Inheritance graph
[legend]
Collaboration diagram for vtkTetra:

Collaboration graph
[legend]
List of all members.

Detailed Description

a 3D cell that represents a tetrahedron

Date:
2002/12/26 18:24:22
Revision:
1.74

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.

Created by:
  • Schroeder, Will
CVS contributions (if > 5%):
  • Schroeder, Will (67%)
  • Martin, Ken (12%)
CVS logs (CVSweb):
  • .cxx (/Common/vtkTetra.cxx)
  • .h (/Common/vtkTetra.h)
Examples:
vtkTetra (Examples)
Tests:
vtkTetra (Tests)

Definition at line 56 of file vtkTetra.h.

Public Types

typedef vtkCell3D Superclass

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)
virtual float * GetParametricCoords ()
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])
double Insphere (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

Member Typedef Documentation

typedef vtkCell3D vtkTetra::Superclass
 

Reimplemented from vtkCell3D.

Definition at line 60 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]
 

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 vtkTypeRevisionMacro 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 vtkTypeRevisionMacro found in vtkSetGet.h.

Reimplemented from vtkCell3D.

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

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.

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

See vtkCell3D API for description of these methods.

Reimplemented from vtkCell3D.

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

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 71 of file vtkTetra.h.

References VTK_TETRA.

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

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 72 of file vtkTetra.h.

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

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 73 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 (  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.

Implements 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.

Implements vtkCell.

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

See the vtkCell API for descriptions of these methods.

Implements 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.

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,
float    pcoords[3],
float *    values,
int    dim,
float *    derivs
)  [virtual]
 

See the vtkCell API for descriptions of these methods.

Implements 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.

Implements vtkCell.

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

Return the center of the tetrahedron in parametric coordinates.

Reimplemented from vtkCell.

Definition at line 175 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.

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.

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 167 of file vtkTetra.h.

vtkTriangle* vtkTetra::Triangle [protected]
 

Definition at line 168 of file vtkTetra.h.

The documentation for this class was generated from the following file:
Generated on Fri Mar 7 16:01:32 2003 for VTK by Doxygen 1.2.18