30#include "vtkCommonDataModelModule.h"
64 int EvaluatePosition(
const double x[3],
double closestPoint[3],
int& subId,
double pcoords[3],
65 double& dist2,
double weights[])
override;
66 void EvaluateLocation(
int& subId,
const double pcoords[3],
double x[3],
double* weights)
override;
69 int subId,
const double pcoords[3],
const double* values,
int dim,
double* derivs)
override;
118 int IntersectWithLine(
const double p1[3],
const double p2[3],
double tol,
double& t,
double x[3],
119 double pcoords[3],
int& subId)
override;
136 const double p1[3],
const double p2[3],
const double p3[3],
double center[3]);
142 static double TriangleArea(
const double p1[3],
const double p2[3],
const double p3[3]);
151 const double p1[2],
const double p2[2],
const double p3[2],
double center[2]);
166 const double x3[2],
double bcoords[3]);
173 static int ProjectTo2D(
const double x1[3],
const double x2[3],
const double x3[3],
double v1[2],
174 double v2[2],
double v3[2]);
186 const double v1[3],
const double v2[3],
const double v3[3],
double n[3]);
192 const double v1[3],
const double v2[3],
const double v3[3],
double n[3]);
200 const double p2[3],
const double q2[3],
const double r2[3]);
209 const double x3[3],
const double tol2);
219 const double x1[3],
const double x2[3],
const double x3[3],
double quadric[4][4]);
221 const double x1[3],
const double x2[3],
const double x3[3],
vtkQuadric* quadric);
244 pcoords[0] = pcoords[1] = 1. / 3;
251 const double v1[3],
const double v2[3],
const double v3[3],
double n[3])
253 double ax, ay, az, bx, by, bz;
263 n[0] = (ay * bz - az * by);
264 n[1] = (az * bx - ax * bz);
265 n[2] = (ax * by - ay * bx);
270 const double v1[3],
const double v2[3],
const double v3[3],
double n[3])
276 if ((length = sqrt((n[0] * n[0] + n[1] * n[1] + n[2] * n[2]))) != 0.0)
286 const double p1[3],
const double p2[3],
const double p3[3],
double center[3])
288 center[0] = (p1[0] + p2[0] + p3[0]) / 3.0;
289 center[1] = (p1[1] + p2[1] + p3[1]) / 3.0;
290 center[2] = (p1[2] + p2[2] + p3[2]) / 3.0;
object to represent cell connectivity
represent and manipulate cell attribute data
virtual int GetParametricCenter(double pcoords[3])
Return center of the cell in parametric coordinates.
list of point or cell ids
Abstract class in support of both point location and point insertion.
a simple class to control print indentation
cell represents a 1D line
static float Norm(const float *x, int n)
Compute the norm of n-vector.
represent and manipulate point attribute data
represent and manipulate 3D points
evaluate implicit quadric function
static int PointInTriangle(const double x[3], const double x1[3], const double x2[3], const double x3[3], const double tol2)
static void ComputeNormalDirection(const double v1[3], const double v2[3], const double v3[3], double n[3])
Compute the (unnormalized) triangle normal direction from three points.
void EvaluateLocation(int &subId, const double pcoords[3], double x[3], double *weights) override
See the vtkCell API for descriptions of these methods.
static int TrianglesIntersect(const double p1[3], const double q1[3], const double r1[3], const double p2[3], const double q2[3], const double r2[3])
static void ComputeQuadric(const double x1[3], const double x2[3], const double x3[3], vtkQuadric *quadric)
Calculate the error quadric for this triangle.
static void ComputeNormal(vtkPoints *p, int numPts, const 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 vtkTriangle * New()
int EvaluatePosition(const double x[3], double closestPoint[3], int &subId, double pcoords[3], double &dist2, double weights[]) override
See the vtkCell API for descriptions of these methods.
int GetParametricCenter(double pcoords[3]) override
Return the center of the triangle in 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
See the vtkCell API for descriptions of these methods.
int GetNumberOfFaces() override
See the vtkCell API for descriptions of these methods.
void Clip(double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *polys, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut) override
Clip this triangle using scalar value provided.
int CellBoundary(int subId, const double pcoords[3], vtkIdList *pts) override
See the vtkCell API for descriptions of these methods.
void InterpolateFunctions(const double pcoords[3], double sf[3]) override
Compute the interpolation functions/derivatives (aka shape functions/derivatives)
static double TriangleArea(const double p1[3], const double p2[3], const double p3[3])
Compute the area of a triangle in 3D.
static int ProjectTo2D(const double x1[3], const double x2[3], const double x3[3], double v1[2], double v2[2], double v3[2])
Project triangle defined in 3D to 2D coordinates.
static bool ComputeCentroid(vtkPoints *points, const vtkIdType *pointIds, double centroid[3])
Get the centroid of the triangle.
double GetParametricDistance(const double pcoords[3]) override
Return the distance of the parametric coordinate provided to the cell.
int IntersectWithLine(const double p1[3], const double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId) override
Given a line defined by two points p1 and p2, determine whether it intersects the triangle.
int Triangulate(int index, vtkIdList *ptIds, vtkPoints *pts) override
See the vtkCell API for descriptions of these methods.
void InterpolateDerivs(const double pcoords[3], double derivs[6]) override
Compute the interpolation functions/derivatives (aka shape functions/derivatives)
void PrintSelf(ostream &os, vtkIndent indent) override
Methods invoked by print to print information about the object including superclasses.
double * GetParametricCoords() override
See the vtkCell API for descriptions of these methods.
static double Circumcircle(const double p1[2], const double p2[2], const double p3[2], double center[2])
Compute the circumcenter (center[3]) and radius squared (method return value) of a triangle defined b...
static void InterpolationDerivs(const double pcoords[3], double derivs[6])
static void ComputeQuadric(const double x1[3], const double x2[3], const double x3[3], double quadric[4][4])
Calculate the error quadric for this triangle.
int GetCellDimension() override
See the vtkCell API for descriptions of these methods.
double ComputeArea()
A convenience function to compute the area of a vtkTriangle.
static void TriangleCenter(const double p1[3], const double p2[3], const double p3[3], double center[3])
Compute the center of the triangle.
const vtkIdType * GetEdgeArray(vtkIdType edgeId)
Return the ids of the vertices defining edge (edgeId).
static int BarycentricCoords(const double x[2], const double x1[2], const double x2[2], const double x3[2], double bcoords[3])
Given a 2D point x[2], determine the barycentric coordinates of the point.
int GetNumberOfEdges() override
See the vtkCell API for descriptions of these methods.
void Derivatives(int subId, const double pcoords[3], const double *values, int dim, double *derivs) override
See the vtkCell API for descriptions of these methods.
vtkCell * GetFace(int) override
See the vtkCell API for descriptions of these methods.
vtkCell * GetEdge(int edgeId) override
Get the edge specified by edgeId (range 0 to 2) and return that edge's coordinates.
static void InterpolationFunctions(const double pcoords[3], double sf[3])
int GetCellType() override
See the vtkCell API for descriptions of these methods.