26 #include "vtkCommonDataModelModule.h" 64 int& subId,
double pcoords[3],
65 double& dist2,
double *weights) VTK_OVERRIDE;
67 double *weights) VTK_OVERRIDE;
69 void Derivatives(
int subId,
double pcoords[3],
double *values,
70 int dim,
double *derivs) VTK_OVERRIDE;
87 int insideOut) VTK_OVERRIDE;
92 static void InterpolationFunctions(
double pcoords[3],
double sf[3]);
96 static void InterpolationDerivs(
double pcoords[3],
double derivs[6]);
115 int *GetEdgeArray(
int edgeId);
122 double x[3],
double pcoords[3],
int& subId) VTK_OVERRIDE;
138 static void TriangleCenter(
double p1[3],
double p2[3],
double p3[3],
145 static double TriangleArea(
double p1[3],
double p2[3],
double p3[3]);
153 static double Circumcircle(
double p1[2],
double p2[2],
double p3[2],
168 static int BarycentricCoords(
double x[2],
double x1[2],
double x2[2],
169 double x3[2],
double bcoords[3]);
177 static int ProjectTo2D(
double x1[3],
double x2[3],
double x3[3],
178 double v1[2],
double v2[2],
double v3[2]);
190 static void ComputeNormal(
double v1[3],
double v2[3],
double v3[3],
double n[3]);
195 static void ComputeNormalDirection(
double v1[3],
double v2[3],
double v3[3],
203 static int TrianglesIntersect(
double p1[3],
double q1[3],
double r1[3],
204 double p2[3],
double q2[3],
double r2[3]);
212 static int PointInTriangle(
double x[3],
double x1[3],
213 double x2[3],
double x3[3],
223 static void ComputeQuadric(
double x1[3],
double x2[3],
double x3[3],
224 double quadric[4][4]);
225 static void ComputeQuadric(
double x1[3],
double x2[3],
double x3[3],
238 void operator=(
const vtkTriangle&) VTK_DELETE_FUNCTION;
244 pcoords[0] = pcoords[1] = 1./3; pcoords[2] = 0.0;
250 double v3[3],
double n[3])
252 double ax, ay, az, bx, by, bz;
255 ax = v3[0] - v2[0]; ay = v3[1] - v2[1]; az = v3[2] - v2[2];
256 bx = v1[0] - v2[0]; by = v1[1] - v2[1]; bz = v1[2] - v2[2];
258 n[0] = (ay * bz - az * by);
259 n[1] = (az * bx - ax * bz);
260 n[2] = (ax * by - ay * bx);
265 double v3[3],
double n[3])
271 if ( (length = sqrt((n[0]*n[0] + n[1]*n[1] + n[2]*n[2]))) != 0.0 )
281 double p3[3],
double center[3])
283 center[0] = (p1[0]+p2[0]+p3[0]) / 3.0;
284 center[1] = (p1[1]+p2[1]+p3[1]) / 3.0;
285 center[2] = (p1[2]+p2[2]+p3[2]) / 3.0;
void PrintSelf(ostream &os, vtkIndent indent) override
Methods invoked by print to print information about the object including superclasses.
static void InterpolationDerivs(double pcoords[3], double derivs[6])
represent and manipulate point attribute data
int GetCellType() override
See the vtkCell API for descriptions of these methods.
virtual double * GetParametricCoords()
Return a contiguous array of parametric coordinates of the points defining this cell.
represent and manipulate cell attribute data
vtkCell * GetFace(int) override
See the vtkCell API for descriptions of these methods.
Abstract class in support of both point location and point insertion.
virtual int Triangulate(int index, vtkIdList *ptIds, vtkPoints *pts)=0
Generate simplices of proper dimension.
virtual void EvaluateLocation(int &subId, double pcoords[3], double x[3], double *weights)=0
Determine global coordinate (x[3]) from subId and parametric coordinates.
virtual int EvaluatePosition(double x[3], double *closestPoint, int &subId, double pcoords[3], double &dist2, double *weights)=0
Given a point x[3] return inside(=1), outside(=0) cell, or (-1) computational problem encountered; ev...
static void ComputeNormalDirection(double v1[3], double v2[3], double v3[3], double n[3])
Compute the (unnormalized) triangle normal direction from three points.
int GetParametricCenter(double pcoords[3]) override
Return the center of the triangle in parametric coordinates.
int GetNumberOfFaces() override
See the vtkCell API for descriptions of these methods.
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...
cell represents a 1D line
abstract class to specify cell behavior
virtual double GetParametricDistance(double pcoords[3])
Return the distance of the parametric coordinate provided to the cell.
static void InterpolationFunctions(double pcoords[3], double sf[3])
a simple class to control print indentation
evaluate implicit quadric function
list of point or cell ids
virtual void Derivatives(int subId, double pcoords[3], double *values, int dim, double *derivs)=0
Compute derivatives given cell subId and parametric coordinates.
abstract superclass for arrays of numeric data
virtual int IntersectWithLine(double p1[3], double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId)=0
Intersect with a ray.
void InterpolateDerivs(double pcoords[3], double derivs[6]) override
Compute the interpolation functions/derivatives (aka shape functions/derivatives) ...
virtual void Clip(double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *connectivity, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut)=0
Cut (or clip) the cell based on the input cellScalars and the specified value.
static void TriangleCenter(double p1[3], double p2[3], double p3[3], double center[3])
Compute the center of the triangle.
object to represent cell connectivity
virtual vtkCell * GetEdge(int edgeId)=0
Return the edge cell from the edgeId of the cell.
int GetNumberOfEdges() override
See the vtkCell API for descriptions of these methods.
a cell that represents a triangle
virtual void Contour(double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *verts, vtkCellArray *lines, vtkCellArray *polys, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd)=0
Generate contouring primitives.
virtual int CellBoundary(int subId, double pcoords[3], vtkIdList *pts)=0
Given parametric coordinates of a point, return the closest cell boundary, and whether the point is i...
static vtkObject * New()
Create an object with Debug turned off, modified time initialized to zero, and reference counting on...
static float Norm(const float *x, int n)
Compute the norm of n-vector.
int GetCellDimension() override
See the vtkCell API for descriptions of these methods.
virtual int GetParametricCenter(double pcoords[3])
Return center of the cell in parametric coordinates.
void InterpolateFunctions(double pcoords[3], double sf[3]) override
Compute the interpolation functions/derivatives (aka shape functions/derivatives) ...
represent and manipulate 3D points
static double TriangleArea(double p1[3], double p2[3], double p3[3])
Compute the area of a triangle in 3D.