VTK
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a 3D cell that represents a tetrahedron More...
#include <vtkTetra.h>
Inherits vtkCell3D.
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 |
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]) |
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.
Definition at line 45 of file vtkTetra.h.
typedef vtkCell3D vtkTetra::Superclass |
Definition at line 49 of file vtkTetra.h.
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void vtkTetra::PrintSelf | ( | ostream & | os, |
vtkIndent | indent | ||
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See vtkCell3D API for description of these methods.
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See vtkCell3D API for description of these methods.
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See the vtkCell API for descriptions of these methods.
Definition at line 60 of file vtkTetra.h.
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See the vtkCell API for descriptions of these methods.
Definition at line 61 of file vtkTetra.h.
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See the vtkCell API for descriptions of these methods.
Definition at line 62 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.
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.
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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.
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Return the center of the tetrahedron in parametric coordinates.
Definition at line 188 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.
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Compute the center of the tetrahedron,
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Compute the circumcenter (center[3]) and radius squared (method return value) of a tetrahedron defined by the four points x1, x2, x3, and x4.
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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.
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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.
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Compute the volume of a tetrahedron defined by the four points p1, p2, p3, and p4.
int vtkTetra::JacobianInverse | ( | double ** | inverse, |
double | derivs[12] | ||
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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.
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Definition at line 159 of file vtkTetra.h.
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Definition at line 163 of file vtkTetra.h.
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Return the ids of the vertices defining edge/face (edgeId
/`faceId'). Ids are related to the cell, not to the dataset.
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Return the ids of the vertices defining edge/face (edgeId
/`faceId'). Ids are related to the cell, not to the dataset.
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Definition at line 180 of file vtkTetra.h.
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Definition at line 181 of file vtkTetra.h.