#include <vtkTetra.h>
Inheritance diagram for vtkTetra:
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 41 of file vtkTetra.h.
Public Types | |
typedef vtkCell3D | Superclass |
Public Member Functions | |
virtual const char * | GetClassName () |
virtual int | IsA (const char *type) |
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, 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 () |
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]) |
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 void | InterpolationFunctions (double pcoords[3], double weights[4]) |
static void | InterpolationDerivs (double derivs[12]) |
static int * | GetEdgeArray (int edgeId) |
static int * | GetFaceArray (int faceId) |
Protected Member Functions | |
vtkTetra () | |
~vtkTetra () | |
Protected Attributes | |
vtkLine * | Line |
vtkTriangle * | Triangle |
|
Reimplemented from vtkCell3D. Definition at line 45 of file vtkTetra.h. |
|
|
|
|
|
Create an object with Debug turned off, modified time initialized to zero, and reference counting on. Reimplemented from vtkObject. |
|
Reimplemented from vtkCell3D. |
|
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. |
|
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. |
|
Reimplemented from vtkCell3D. |
|
See vtkCell3D API for description of these methods. Implements vtkCell3D. |
|
Get the list of vertices that define a face. The list is terminated with a negative number. Note that the vertices are 0-offset; that is, they refer to the ids of the cell, not the point ids of the mesh that the cell belongs to. The faceId must range between 0<=faceId<this->GetNumberOfFaces(). Implements vtkCell3D. |
|
See the vtkCell API for descriptions of these methods. Implements vtkCell. Definition at line 55 of file vtkTetra.h. References VTK_TETRA. |
|
Return the number of edges in the cell. Implements vtkCell. Definition at line 56 of file vtkTetra.h. |
|
Return the number of faces in the cell. Implements vtkCell. Definition at line 57 of file vtkTetra.h. |
|
Return the edge cell from the edgeId of the cell. Implements vtkCell. |
|
Return the face cell from the faceId of the cell. Implements vtkCell. |
|
Generate contouring primitives. The scalar list cellScalars are scalar values at each cell point. The point locator is essentially a points list that merges points as they are inserted (i.e., prevents duplicates). Contouring primitives can be vertices, lines, or polygons. It is possible to interpolate point data along the edge by providing input and output point data - if outPd is NULL, then no interpolation is performed. Also, if the output cell data is non-NULL, the cell data from the contoured cell is passed to the generated contouring primitives. (Note: the CopyAllocate() method must be invoked on both the output cell and point data. The cellId refers to the cell from which the cell data is copied.) Implements vtkCell. |
|
Cut (or clip) the cell based on the input cellScalars and the specified value. The output of the clip operation will be one or more cells of the same topological dimension as the original cell. The flag insideOut controls what part of the cell is considered inside - normally cell points whose scalar value is greater than "value" are considered inside. If insideOut is on, this is reversed. Also, if the output cell data is non-NULL, the cell data from the clipped cell is passed to the generated contouring primitives. (Note: the CopyAllocate() method must be invoked on both the output cell and point data. The cellId refers to the cell from which the cell data is copied.) (Satisfies vtkCell API.) Reimplemented from vtkCell3D. |
|
Given a point x[3] return inside(=1) or outside(=0) cell; evaluate parametric coordinates, sub-cell id (!=0 only if cell is composite), distance squared of point x[3] to cell (in particular, the sub-cell indicated), closest point on cell to x[3] (unless closestPoint is null, in which case, the closest point and dist2 are not found), and interpolation weights in cell. (The number of weights is equal to the number of points defining the cell). Note: on rare occasions a -1 is returned from the method. This means that numerical error has occurred and all data returned from this method should be ignored. Also, inside/outside is determine parametrically. That is, a point is inside if it satisfies parametric limits. This can cause problems for cells of topological dimension 2 or less, since a point in 3D can project onto the cell within parametric limits but be "far" from the cell. Thus the value dist2 may be checked to determine true in/out. Implements vtkCell. |
|
Determine global coordinate (x[3]) from subId and parametric coordinates. Also returns interpolation weights. (The number of weights is equal to the number of points in the cell.) Implements vtkCell. |
|
Intersect with a ray. Return parametric coordinates (both line and cell) and global intersection coordinates, given ray definition and tolerance. The method returns non-zero value if intersection occurs. Implements vtkCell. |
|
Generate simplices of proper dimension. If cell is 3D, tetrahedron are generated; if 2D triangles; if 1D lines; if 0D points. The form of the output is a sequence of points, each n+1 points (where n is topological cell dimension) defining a simplex. The index is a parameter that controls which triangulation to use (if more than one is possible). If numerical degeneracy encountered, 0 is returned, otherwise 1 is returned. Implements vtkCell. |
|
Compute derivatives given cell subId and parametric coordinates. The values array is a series of data value(s) at the cell points. There is a one-to-one correspondence between cell point and data value(s). Dim is the number of data values per cell point. Derivs are derivatives in the x-y-z coordinate directions for each data value. Thus, if computing derivatives for a scalar function in a hexahedron, dim=1, 8 values are supplied, and 3 deriv values are returned (i.e., derivatives in x-y-z directions). On the other hand, if computing derivatives of velocity (vx,vy,vz) dim=3, 24 values are supplied ((vx,vy,vz)1, (vx,vy,vz)2, ....()8), and 9 deriv values are returned ((d(vx)/dx),(d(vx)/dy),(d(vx)/dz), (d(vy)/dx),(d(vy)/dy), (d(vy)/dz), (d(vz)/dx),(d(vz)/dy),(d(vz)/dz)). Implements vtkCell. |
|
Return a contiguous array of parametric coordinates of the points defining this cell. In other words, (px,py,pz, px,py,pz, etc..) The coordinates are ordered consistent with the definition of the point ordering for the cell. This method returns a non-NULL pointer when the cell is a primary type (i.e., IsPrimaryCell() is true). Note that 3D parametric coordinates are returned no matter what the topological dimension of the cell. Reimplemented from vtkCell. |
|
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. |
|
Return the center of the tetrahedron in parametric coordinates. Reimplemented from vtkCell. Definition at line 165 of file vtkTetra.h. |
|
Return the distance of the parametric coordinate provided to the cell. If inside the cell, a distance of zero is returned. Reimplemented from vtkCell. |
|
Compute the center of the tetrahedron, |
|
Compute the circumcenter (center[3]) and radius squared (method return value) of a tetrahedron defined by the four points x1, x2, x3, and x4. |
|
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. |
|
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. |
|
Compute the volume of a tetrahedron defined by the four points p1, p2, p3, and p4. |
|
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. |
|
Tetra specific methods. |
|
|
|
|
|
|
|
Definition at line 157 of file vtkTetra.h. |
|
Definition at line 158 of file vtkTetra.h. |