#include <vtkTetra.h>


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.
Definition at line 45 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 () |
| 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 () |
Static Public Member Functions | |
| static vtkTetra * | New () |
| static int | IsTypeOf (const char *type) |
| static vtkTetra * | SafeDownCast (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 | |
| vtkLine * | Line |
| vtkTriangle * | Triangle |
| typedef vtkCell3D vtkTetra::Superclass |
| vtkTetra::vtkTetra | ( | ) | [protected] |
| vtkTetra::~vtkTetra | ( | ) | [protected] |
| 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 vtkTypeMacro 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 vtkTypeMacro found in vtkSetGet.h.
Reimplemented from vtkCell3D.
| void vtkTetra::PrintSelf | ( | ostream & | os, | |
| vtkIndent | indent | |||
| ) | [virtual] |
| virtual void vtkTetra::GetEdgePoints | ( | int | edgeId, | |
| int *& | pts | |||
| ) | [virtual] |
| virtual void vtkTetra::GetFacePoints | ( | int | faceId, | |
| int *& | pts | |||
| ) | [virtual] |
| int vtkTetra::GetCellType | ( | ) | [inline, virtual] |
See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 60 of file vtkTetra.h.
| 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] |
| vtkCell* vtkTetra::GetFace | ( | int | faceId | ) | [virtual] |
| 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 | |||
| ) | [virtual] |
| void vtkTetra::Clip | ( | double | value, | |
| vtkDataArray * | cellScalars, | |||
| vtkIncrementalPointLocator * | locator, | |||
| vtkCellArray * | connectivity, | |||
| vtkPointData * | inPd, | |||
| vtkPointData * | outPd, | |||
| vtkCellData * | inCd, | |||
| vtkIdType | cellId, | |||
| vtkCellData * | outCd, | |||
| int | insideOut | |||
| ) | [virtual] |
| int vtkTetra::EvaluatePosition | ( | double | x[3], | |
| double * | closestPoint, | |||
| int & | subId, | |||
| double | pcoords[3], | |||
| double & | dist2, | |||
| double * | weights | |||
| ) | [virtual] |
| void vtkTetra::EvaluateLocation | ( | int & | subId, | |
| double | pcoords[3], | |||
| double | x[3], | |||
| double * | weights | |||
| ) | [virtual] |
| int vtkTetra::IntersectWithLine | ( | double | p1[3], | |
| double | p2[3], | |||
| double | tol, | |||
| double & | t, | |||
| double | x[3], | |||
| double | pcoords[3], | |||
| int & | subId | |||
| ) | [virtual] |
| void vtkTetra::Derivatives | ( | int | subId, | |
| double | pcoords[3], | |||
| double * | values, | |||
| int | dim, | |||
| double * | derivs | |||
| ) | [virtual] |
| virtual double* vtkTetra::GetParametricCoords | ( | ) | [virtual] |
| 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 188 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] |
| static void vtkTetra::InterpolationDerivs | ( | double | pcoords[3], | |
| double | derivs[12] | |||
| ) | [static] |
| virtual void vtkTetra::InterpolateFunctions | ( | double | pcoords[3], | |
| double | weights[4] | |||
| ) | [inline, virtual] |
Definition at line 159 of file vtkTetra.h.
| virtual void vtkTetra::InterpolateDerivs | ( | double | pcoords[3], | |
| double | derivs[12] | |||
| ) | [inline, virtual] |
Definition at line 163 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.
vtkLine* vtkTetra::Line [protected] |
Definition at line 180 of file vtkTetra.h.
vtkTriangle* vtkTetra::Triangle [protected] |
Definition at line 181 of file vtkTetra.h.
1.5.6