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32 #include "vtkCommonDataModelModule.h"
70 int& subId,
double pcoords[3],
71 double& dist2,
double *weights) VTK_OVERRIDE;
73 double *weights) VTK_OVERRIDE;
75 void Derivatives(
int subId,
double pcoords[3],
double *values,
76 int dim,
double *derivs) VTK_OVERRIDE;
93 int insideOut) VTK_OVERRIDE;
98 static
void InterpolationFunctions(
double pcoords[3],
double sf[3]);
102 static
void InterpolationDerivs(
double pcoords[3],
double derivs[6]);
108 void InterpolateFunctions(
double pcoords[3],
double sf[3]) VTK_OVERRIDE
128 double x[3],
double pcoords[3],
int& subId) VTK_OVERRIDE;
144 static void TriangleCenter(
double p1[3],
double p2[3],
double p3[3],
151 static double TriangleArea(
double p1[3],
double p2[3],
double p3[3]);
175 double x3[2],
double bcoords[3]);
184 double v1[2],
double v2[2],
double v3[2]);
196 static void ComputeNormal(
double v1[3],
double v2[3],
double v3[3],
double n[3]);
201 static void ComputeNormalDirection(
double v1[3],
double v2[3],
double v3[3],
212 double x2[3],
double x3[3],
223 double quadric[4][4]);
237 void operator=(const
vtkTriangle&) VTK_DELETE_FUNCTION;
243 pcoords[0] = pcoords[1] = 1./3; pcoords[2] = 0.0;
249 double v3[3],
double n[3])
251 double ax, ay, az, bx, by, bz;
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];
257 n[0] = (ay * bz - az * by);
258 n[1] = (az * bx - ax * bz);
259 n[2] = (ax * by - ay * bx);
264 double v3[3],
double n[3])
270 if ( (
length = sqrt((n[0]*n[0] + n[1]*n[1] + n[2]*n[2]))) != 0.0 )
280 double p3[3],
double center[3])
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;
represent and manipulate 3D points
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 float Norm(const float *x, int n)
Compute the norm of n-vector.
int * GetEdgeArray(int edgeId)
Return the ids of the vertices defining edge (edgeId).
represent and manipulate point attribute data
static double TriangleArea(double p1[3], double p2[3], double p3[3])
Compute the area of a triangle in 3D.
static void InterpolationDerivs(double pcoords[3], double derivs[6])
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...
static vtkTriangle * New()
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...
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...
vtkCell * GetFace(int) override
Return the face cell from the faceId of the cell.
abstract superclass for arrays of numeric data
int GetCellType() override
See the vtkCell API for descriptions of these methods.
evaluate implicit quadric function
cell represents a 1D line
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.
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.
static void ComputeNormalDirection(double v1[3], double v2[3], double v3[3], double n[3])
Compute the (unnormalized) triangle normal direction from three points.
void InterpolateDerivs(double pcoords[3], double derivs[6]) override
int GetNumberOfFaces() override
Return the number of faces in the cell.
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...
void Derivatives(int subId, double pcoords[3], double *values, int dim, double *derivs) override
Compute derivatives given cell subId and parametric coordinates.
abstract class to specify cell behavior
represent and manipulate cell attribute data
a simple class to control print indentation
object to represent cell connectivity
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.
Abstract class in support of both point location and point insertion.
list of point or cell ids
void EvaluateLocation(int &subId, double pcoords[3], double x[3], double *weights) override
Determine global coordinate (x[3]) from subId and parametric coordinates.
void PrintSelf(ostream &os, vtkIndent indent) override
Methods invoked by print to print information about the object including superclasses.
int Triangulate(int index, vtkIdList *ptIds, vtkPoints *pts) override
Generate simplices of proper dimension.
static void InterpolationFunctions(double pcoords[3], double sf[3])
a cell that represents a triangle
static void TriangleCenter(double p1[3], double p2[3], double p3[3], double center[3])
Compute the center of the triangle.
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 void ComputeQuadric(double x1[3], double x2[3], double x3[3], double quadric[4][4])
Calculate the error quadric for this triangle.
double GetParametricDistance(double pcoords[3]) override
Return the distance of the parametric coordinate provided to the cell.
virtual int GetParametricCenter(double pcoords[3])
Return center of the cell in parametric coordinates.
int GetCellDimension() override
Return the topological dimensional of the cell (0,1,2, or 3).
int GetNumberOfEdges() override
Return the number of edges in the cell.
double * GetParametricCoords() override
Return a contiguous array of parametric coordinates of the points defining this cell.
vtkCell * GetEdge(int edgeId) override
Get the edge specified by edgeId (range 0 to 2) and return that edge's coordinates.