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165 lines
6.4 KiB
165 lines
6.4 KiB
/*=========================================================================
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Program: Visualization Toolkit
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Module: $RCSfile: vtkTetra.h,v $
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Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
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All rights reserved.
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See Copyright.txt or http://www.kitware.com/Copyright.htm for details.
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This software is distributed WITHOUT ANY WARRANTY; without even
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the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
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PURPOSE. See the above copyright notice for more information.
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=========================================================================*/
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// .NAME vtkTetra - a 3D cell that represents a tetrahedron
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// .SECTION Description
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// vtkTetra is a concrete implementation of vtkCell to represent a 3D
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// tetrahedron. vtkTetra uses the standard isoparametric shape functions
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// for a linear tetrahedron. The tetrahedron is defined by the four points
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// (0-3); where (0,1,2) is the base of the tetrahedron which, using the
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// right hand rule, forms a triangle whose normal points in the direction
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// of the fourth point.
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// .SECTION See Also
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// vtkConvexPointSet vtkHexahedron vtkPyramid vtkVoxel vtkWedge
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#ifndef __vtkTetra_h
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#define __vtkTetra_h
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#include "vtkCell3D.h"
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class vtkLine;
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class vtkTriangle;
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class vtkUnstructuredGrid;
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class VTK_FILTERING_EXPORT vtkTetra : public vtkCell3D
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{
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public:
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static vtkTetra *New();
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vtkTypeRevisionMacro(vtkTetra,vtkCell3D);
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void PrintSelf(ostream& os, vtkIndent indent);
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// Description:
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// See vtkCell3D API for description of these methods.
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virtual void GetEdgePoints(int edgeId, int* &pts);
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virtual void GetFacePoints(int faceId, int* &pts);
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// Description:
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// See the vtkCell API for descriptions of these methods.
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int GetCellType() {return VTK_TETRA;}
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int GetNumberOfEdges() {return 6;}
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int GetNumberOfFaces() {return 4;}
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vtkCell *GetEdge(int edgeId);
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vtkCell *GetFace(int faceId);
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void Contour(double value, vtkDataArray *cellScalars,
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vtkPointLocator *locator, vtkCellArray *verts,
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vtkCellArray *lines, vtkCellArray *polys,
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vtkPointData *inPd, vtkPointData *outPd,
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vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd);
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void Clip(double value, vtkDataArray *cellScalars,
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vtkPointLocator *locator, vtkCellArray *connectivity,
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vtkPointData *inPd, vtkPointData *outPd,
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vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd,
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int insideOut);
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int EvaluatePosition(double x[3], double* closestPoint,
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int& subId, double pcoords[3],
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double& dist2, double *weights);
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void EvaluateLocation(int& subId, double pcoords[3], double x[3],
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double *weights);
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int IntersectWithLine(double p1[3], double p2[3], double tol, double& t,
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double x[3], double pcoords[3], int& subId);
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int Triangulate(int index, vtkIdList *ptIds, vtkPoints *pts);
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void Derivatives(int subId, double pcoords[3], double *values,
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int dim, double *derivs);
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virtual double *GetParametricCoords();
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// Description:
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// Returns the set of points that are on the boundary of the tetrahedron that
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// are closest parametrically to the point specified. This may include faces,
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// edges, or vertices.
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int CellBoundary(int subId, double pcoords[3], vtkIdList *pts);
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// Description:
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// Return the center of the tetrahedron in parametric coordinates.
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int GetParametricCenter(double pcoords[3]);
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// Description:
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// Return the distance of the parametric coordinate provided to the
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// cell. If inside the cell, a distance of zero is returned.
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double GetParametricDistance(double pcoords[3]);
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// Description:
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// Compute the center of the tetrahedron,
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static void TetraCenter(double p1[3], double p2[3], double p3[3], double p4[3],
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double center[3]);
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// Description:
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// Compute the circumcenter (center[3]) and radius squared (method
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// return value) of a tetrahedron defined by the four points x1, x2,
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// x3, and x4.
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static double Circumsphere(double p1[3], double p2[3], double p3[3],
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double p4[3], double center[3]);
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// Description:
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// Compute the center (center[3]) and radius (method return value) of
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// a sphere that just fits inside the faces of a tetrahedron defined
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// by the four points x1, x2, x3, and x4.
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static double Insphere(double p1[3], double p2[3], double p3[3],
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double p4[3], double center[3]);
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// Description:
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// Given a 3D point x[3], determine the barycentric coordinates of the point.
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// Barycentric coordinates are a natural coordinate system for simplices that
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// express a position as a linear combination of the vertices. For a
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// tetrahedron, there are four barycentric coordinates (because there are
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// four vertices), and the sum of the coordinates must equal 1. If a
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// point x is inside a simplex, then all four coordinates will be strictly
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// positive. If three coordinates are zero (so the fourth =1), then the
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// point x is on a vertex. If two coordinates are zero, the point x is on an
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// edge (and so on). In this method, you must specify the vertex coordinates
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// x1->x4. Returns 0 if tetrahedron is degenerate.
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static int BarycentricCoords(double x[3], double x1[3], double x2[3],
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double x3[3], double x4[3], double bcoords[4]);
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// Description:
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// Compute the volume of a tetrahedron defined by the four points
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// p1, p2, p3, and p4.
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static double ComputeVolume(double p1[3], double p2[3], double p3[3],
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double p4[3]);
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// Description:
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// Given parametric coordinates compute inverse Jacobian transformation
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// matrix. Returns 9 elements of 3x3 inverse Jacobian plus interpolation
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// function derivatives. Returns 0 if no inverse exists.
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int JacobianInverse(double **inverse, double derivs[12]);
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// Description:
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// Tetra specific methods.
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static void InterpolationFunctions(double pcoords[3], double weights[4]);
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static void InterpolationDerivs(double derivs[12]);
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static int *GetEdgeArray(int edgeId);
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static int *GetFaceArray(int faceId);
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protected:
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vtkTetra();
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~vtkTetra();
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vtkLine *Line;
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vtkTriangle *Triangle;
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private:
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vtkTetra(const vtkTetra&); // Not implemented.
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void operator=(const vtkTetra&); // Not implemented.
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};
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inline int vtkTetra::GetParametricCenter(double pcoords[3])
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{
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pcoords[0] = pcoords[1] = pcoords[2] = 0.25;
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return 0;
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}
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#endif
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