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vtkTetra Class Reference

#include <vtkTetra.h>

Inheritance diagram for vtkTetra:

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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.

Examples:
vtkTetra (Examples)
Tests:
vtkTetra (Tests)

Definition at line 45 of file vtkTetra.h.

Public Types

typedef vtkCell3D Superclass

Public Member Functions

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 ()
vtkCellGetEdge (int edgeId)
vtkCellGetFace (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 Member Functions

vtkTetraNew ()
int IsTypeOf (const char *type)
vtkTetraSafeDownCast (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 Member Functions

 vtkTetra ()
 ~vtkTetra ()

Protected Attributes

vtkLineLine
vtkTriangleTriangle


Member Typedef Documentation

typedef vtkCell3D vtkTetra::Superclass
 

Reimplemented from vtkCell3D.

Definition at line 49 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 60 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 61 of file vtkTetra.h.

int vtkTetra::GetNumberOfFaces  )  [inline, virtual]
 

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 62 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 164 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 156 of file vtkTetra.h.

vtkTriangle* vtkTetra::Triangle [protected]
 

Definition at line 157 of file vtkTetra.h.


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