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vtkTriangle.h
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1/*=========================================================================
2
3 Program: Visualization Toolkit
4 Module: vtkTriangle.h
5
6 Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
7 All rights reserved.
8 See Copyright.txt or http://www.kitware.com/Copyright.htm for details.
9
10 This software is distributed WITHOUT ANY WARRANTY; without even
11 the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
12 PURPOSE. See the above copyright notice for more information.
13
14=========================================================================*/
29#ifndef vtkTriangle_h
30#define vtkTriangle_h
31
32#include "vtkCommonDataModelModule.h" // For export macro
33#include "vtkCell.h"
34
35#include "vtkMath.h" // Needed for inline methods
36
37class vtkLine;
38class vtkQuadric;
40
41class VTKCOMMONDATAMODEL_EXPORT vtkTriangle : public vtkCell
42{
43public:
44 static vtkTriangle *New();
45 vtkTypeMacro(vtkTriangle,vtkCell);
46 void PrintSelf(ostream& os, vtkIndent indent) VTK_OVERRIDE;
47
52 vtkCell *GetEdge(int edgeId) VTK_OVERRIDE;
53
55
58 int GetCellType() VTK_OVERRIDE {return VTK_TRIANGLE;};
59 int GetCellDimension() VTK_OVERRIDE {return 2;};
60 int GetNumberOfEdges() VTK_OVERRIDE {return 3;};
61 int GetNumberOfFaces() VTK_OVERRIDE {return 0;};
62 vtkCell *GetFace(int) VTK_OVERRIDE {return 0;};
63 int CellBoundary(int subId, double pcoords[3], vtkIdList *pts) VTK_OVERRIDE;
64 void Contour(double value, vtkDataArray *cellScalars,
66 vtkCellArray *lines, vtkCellArray *polys,
67 vtkPointData *inPd, vtkPointData *outPd,
68 vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd) VTK_OVERRIDE;
69 int EvaluatePosition(double x[3], double* closestPoint,
70 int& subId, double pcoords[3],
71 double& dist2, double *weights) VTK_OVERRIDE;
72 void EvaluateLocation(int& subId, double pcoords[3], double x[3],
73 double *weights) VTK_OVERRIDE;
74 int Triangulate(int index, vtkIdList *ptIds, vtkPoints *pts) VTK_OVERRIDE;
75 void Derivatives(int subId, double pcoords[3], double *values,
76 int dim, double *derivs) VTK_OVERRIDE;
77 double *GetParametricCoords() VTK_OVERRIDE;
79
83 double ComputeArea();
84
89 void Clip(double value, vtkDataArray *cellScalars,
91 vtkPointData *inPd, vtkPointData *outPd,
92 vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd,
93 int insideOut) VTK_OVERRIDE;
94
98 static void InterpolationFunctions(double pcoords[3], double sf[3]);
102 static void InterpolationDerivs(double pcoords[3], double derivs[6]);
104
108 void InterpolateFunctions(double pcoords[3], double sf[3]) VTK_OVERRIDE
109 {
111 }
112 void InterpolateDerivs(double pcoords[3], double derivs[6]) VTK_OVERRIDE
113 {
114 vtkTriangle::InterpolationDerivs(pcoords,derivs);
115 }
117
121 int *GetEdgeArray(int edgeId);
122
127 int IntersectWithLine(double p1[3], double p2[3], double tol, double& t,
128 double x[3], double pcoords[3], int& subId) VTK_OVERRIDE;
129
133 int GetParametricCenter(double pcoords[3]) VTK_OVERRIDE;
134
139 double GetParametricDistance(double pcoords[3]) VTK_OVERRIDE;
140
144 static void TriangleCenter(double p1[3], double p2[3], double p3[3],
145 double center[3]);
146
151 static double TriangleArea(double p1[3], double p2[3], double p3[3]);
152
159 static double Circumcircle(double p1[2], double p2[2], double p3[2],
160 double center[2]);
161
174 static int BarycentricCoords(double x[2], double x1[2], double x2[2],
175 double x3[2], double bcoords[3]);
176
177
183 static int ProjectTo2D(double x1[3], double x2[3], double x3[3],
184 double v1[2], double v2[2], double v3[2]);
185
190 static void ComputeNormal(vtkPoints *p, int numPts, vtkIdType *pts,
191 double n[3]);
192
196 static void ComputeNormal(double v1[3], double v2[3], double v3[3], double n[3]);
197
201 static void ComputeNormalDirection(double v1[3], double v2[3], double v3[3],
202 double n[3]);
203
211 static int PointInTriangle(double x[3], double x1[3],
212 double x2[3], double x3[3],
213 double tol2);
214
216
222 static void ComputeQuadric(double x1[3], double x2[3], double x3[3],
223 double quadric[4][4]);
224 static void ComputeQuadric(double x1[3], double x2[3], double x3[3],
225 vtkQuadric *quadric);
227
228
229protected:
231 ~vtkTriangle() VTK_OVERRIDE;
232
233 vtkLine *Line;
234
235private:
236 vtkTriangle(const vtkTriangle&) VTK_DELETE_FUNCTION;
237 void operator=(const vtkTriangle&) VTK_DELETE_FUNCTION;
238};
239
240//----------------------------------------------------------------------------
241inline int vtkTriangle::GetParametricCenter(double pcoords[3])
242{
243 pcoords[0] = pcoords[1] = 1./3; pcoords[2] = 0.0;
244 return 0;
245}
246
247//----------------------------------------------------------------------------
248inline void vtkTriangle::ComputeNormalDirection(double v1[3], double v2[3],
249 double v3[3], double n[3])
250{
251 double ax, ay, az, bx, by, bz;
252
253 // order is important!!! maintain consistency with triangle vertex order
254 ax = v3[0] - v2[0]; ay = v3[1] - v2[1]; az = v3[2] - v2[2];
255 bx = v1[0] - v2[0]; by = v1[1] - v2[1]; bz = v1[2] - v2[2];
256
257 n[0] = (ay * bz - az * by);
258 n[1] = (az * bx - ax * bz);
259 n[2] = (ax * by - ay * bx);
260}
261
262//----------------------------------------------------------------------------
263inline void vtkTriangle::ComputeNormal(double v1[3], double v2[3],
264 double v3[3], double n[3])
265{
266 double length;
267
269
270 if ( (length = sqrt((n[0]*n[0] + n[1]*n[1] + n[2]*n[2]))) != 0.0 )
271 {
272 n[0] /= length;
273 n[1] /= length;
274 n[2] /= length;
275 }
276}
277
278//----------------------------------------------------------------------------
279inline void vtkTriangle::TriangleCenter(double p1[3], double p2[3],
280 double p3[3], double center[3])
281{
282 center[0] = (p1[0]+p2[0]+p3[0]) / 3.0;
283 center[1] = (p1[1]+p2[1]+p3[1]) / 3.0;
284 center[2] = (p1[2]+p2[2]+p3[2]) / 3.0;
285}
286
287//----------------------------------------------------------------------------
288inline double vtkTriangle::TriangleArea(double p1[3], double p2[3], double p3[3])
289{
290 double n[3];
292
293 return 0.5*vtkMath::Norm(n);
294}
295
296#endif
297
298
object to represent cell connectivity
Definition: vtkCellArray.h:51
represent and manipulate cell attribute data
Definition: vtkCellData.h:39
abstract class to specify cell behavior
Definition: vtkCell.h:60
virtual int GetParametricCenter(double pcoords[3])
Return center of the cell in parametric coordinates.
abstract superclass for arrays of numeric data
Definition: vtkDataArray.h:55
list of point or cell ids
Definition: vtkIdList.h:37
Abstract class in support of both point location and point insertion.
a simple class to control print indentation
Definition: vtkIndent.h:40
cell represents a 1D line
Definition: vtkLine.h:36
static float Norm(const float *x, int n)
Compute the norm of n-vector.
represent and manipulate point attribute data
Definition: vtkPointData.h:38
represent and manipulate 3D points
Definition: vtkPoints.h:40
evaluate implicit quadric function
Definition: vtkQuadric.h:37
a cell that represents a triangle
Definition: vtkTriangle.h:42
static void TriangleCenter(double p1[3], double p2[3], double p3[3], double center[3])
Compute the center of the triangle.
Definition: vtkTriangle.h:279
static double TriangleArea(double p1[3], double p2[3], double p3[3])
Compute the area of a triangle in 3D.
Definition: vtkTriangle.h:288
int CellBoundary(int subId, double pcoords[3], vtkIdList *pts) override
Given parametric coordinates of a point, return the closest cell boundary, and whether the point is i...
static int BarycentricCoords(double x[2], double x1[2], double x2[2], double x3[2], double bcoords[3])
Given a 2D point x[2], determine the barycentric coordinates of the point.
static vtkTriangle * New()
void InterpolateDerivs(double pcoords[3], double derivs[6]) override
Definition: vtkTriangle.h:112
int EvaluatePosition(double x[3], double *closestPoint, int &subId, double pcoords[3], double &dist2, double *weights) override
Given a point x[3] return inside(=1), outside(=0) cell, or (-1) computational problem encountered; ev...
void EvaluateLocation(int &subId, double pcoords[3], double x[3], double *weights) override
Determine global coordinate (x[3]) from subId and parametric coordinates.
void Contour(double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *verts, vtkCellArray *lines, vtkCellArray *polys, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd) override
Generate contouring primitives.
int GetNumberOfFaces() override
Return the number of faces in the cell.
Definition: vtkTriangle.h:61
int * GetEdgeArray(int edgeId)
Return the ids of the vertices defining edge (edgeId).
static int ProjectTo2D(double x1[3], double x2[3], double x3[3], double v1[2], double v2[2], double v3[2])
Project triangle defined in 3D to 2D coordinates.
static void InterpolationDerivs(double pcoords[3], double derivs[6])
static void ComputeNormalDirection(double v1[3], double v2[3], double v3[3], double n[3])
Compute the (unnormalized) triangle normal direction from three points.
Definition: vtkTriangle.h:248
static void InterpolationFunctions(double pcoords[3], double sf[3])
~vtkTriangle() override
int Triangulate(int index, vtkIdList *ptIds, vtkPoints *pts) override
Generate simplices of proper dimension.
static void ComputeNormal(vtkPoints *p, int numPts, vtkIdType *pts, double n[3])
Compute the triangle normal from a points list, and a list of point ids that index into the points li...
void Derivatives(int subId, double pcoords[3], double *values, int dim, double *derivs) override
Compute derivatives given cell subId and parametric coordinates.
void PrintSelf(ostream &os, vtkIndent indent) override
Methods invoked by print to print information about the object including superclasses.
static void ComputeQuadric(double x1[3], double x2[3], double x3[3], double quadric[4][4])
Calculate the error quadric for this triangle.
static void ComputeQuadric(double x1[3], double x2[3], double x3[3], vtkQuadric *quadric)
static double Circumcircle(double p1[2], double p2[2], double p3[2], double center[2])
Compute the circumcenter (center[3]) and radius squared (method return value) of a triangle defined b...
double * GetParametricCoords() override
Return a contiguous array of parametric coordinates of the points defining this cell.
int GetCellDimension() override
Return the topological dimensional of the cell (0,1,2, or 3).
Definition: vtkTriangle.h:59
static int PointInTriangle(double x[3], double x1[3], double x2[3], double x3[3], double tol2)
Given a point x, determine whether it is inside (within the tolerance squared, tol2) the triangle def...
int IntersectWithLine(double p1[3], double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId) override
Plane intersection plus in/out test on triangle.
int GetNumberOfEdges() override
Return the number of edges in the cell.
Definition: vtkTriangle.h:60
vtkCell * GetFace(int) override
Return the face cell from the faceId of the cell.
Definition: vtkTriangle.h:62
vtkCell * GetEdge(int edgeId) override
Get the edge specified by edgeId (range 0 to 2) and return that edge's coordinates.
double GetParametricDistance(double pcoords[3]) override
Return the distance of the parametric coordinate provided to the cell.
int GetCellType() override
See the vtkCell API for descriptions of these methods.
Definition: vtkTriangle.h:58
@ length
Definition: vtkX3D.h:393
@ value
Definition: vtkX3D.h:220
@ center
Definition: vtkX3D.h:230
@ index
Definition: vtkX3D.h:246
@ VTK_TRIANGLE
Definition: vtkCellType.h:50
int vtkIdType
Definition: vtkType.h:287