#include <vtkTetra.h>
Inheritance diagram for vtkTetra:
Public Methods | |
virtual const char * | GetClassName () |
virtual int | IsA (const char *type) |
vtkCell * | MakeObject () |
int | GetCellType () |
int | GetCellDimension () |
int | GetNumberOfEdges () |
int | GetNumberOfFaces () |
vtkCell * | GetEdge (int edgeId) |
vtkCell * | GetFace (int faceId) |
void | Contour (float value, vtkScalars *cellScalars, vtkPointLocator *locator, vtkCellArray *verts, vtkCellArray *lines, vtkCellArray *polys, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, int cellId, vtkCellData *outCd) |
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) |
int | CellBoundary (int subId, float pcoords[3], vtkIdList *pts) |
void | Clip (float value, vtkScalars *cellScalars, vtkPointLocator *locator, vtkCellArray *tetras, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, int cellId, vtkCellData *outCd, int insideOut) |
int | GetParametricCenter (float pcoords[3]) |
int | JacobianInverse (double **inverse, float derivs[12]) |
int | CellBoundary (int subId, float pcoords[3], vtkIdList &pts) |
int | Triangulate (int index, vtkIdList &ptIds, vtkPoints &pts) |
Static Public Methods | |
vtkTetra * | New () |
int | IsTypeOf (const char *type) |
vtkTetra * | SafeDownCast (vtkObject *o) |
int * | GetFaceArray (int faceId) |
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]) |
int | BarycentricCoords (double x[3], double x1[3], double x2[3], double x3[3], double x4[3], double bcoords[4]) |
void | InterpolationFunctions (float pcoords[3], float weights[4]) |
void | InterpolationDerivs (float derivs[12]) |
Protected Methods | |
vtkTetra () | |
~vtkTetra () | |
vtkTetra (const vtkTetra &) | |
void | operator= (const vtkTetra &) |
Protected Attributes | |
vtkLine * | Line |
vtkTriangle * | Triangle |
vtkTetra is a concrete implementation of vtkCell to represent a 3D tetrahedron.
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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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For legacy compatibility. Do not use. |
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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. |
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Compute the circumcenter (center[3]) and radius (method return value) of a tetrahedron defined by the four points x1, x2, x3, and x4. |
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Clip this tetra using scalar value provided. Like contouring, except that it cuts the tetra to produce other tetrahedra. Implements vtkCell. |
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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. |
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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. |
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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. |
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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. |
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Return the topological dimensional of the cell (0,1,2, or 3). Implements vtkCell. |
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Return the type of cell. Implements vtkCell. |
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Return the class name as a string. This method is defined in all subclasses of vtkObject with the vtkTypeMacro found in vtkSetGet.h. Reimplemented from vtkCell. |
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Return the edge cell from the edgeId of the cell. Implements vtkCell. |
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Return the face cell from the faceId of the cell. Implements vtkCell. |
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Return the number of edges in the cell. Implements vtkCell. |
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Return the number of faces in the cell. Implements vtkCell. |
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Return the center of the tetrahedron in parametric coordinates. Reimplemented from vtkCell. |
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Tetra specific methods. |
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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. |
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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 vtkCell. |
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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 vtkCell. |
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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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See the vtkCell API for descriptions of these methods. Implements vtkCell. |
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Create an object with Debug turned off, modified time initialized to zero, and reference counting on. Reimplemented from vtkObject. |
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Will cast the supplied object to vtkObject* is this is a safe operation (i.e., a safe downcast); otherwise NULL is returned. This method is defined in all subclasses of vtkObject with the vtkTypeMacro found in vtkSetGet.h. Reimplemented from vtkCell. |
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Compute the center of the tetrahedron, |
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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. |