18 #include "vtkCommonDataModelModule.h"
22 VTK_ABI_NAMESPACE_BEGIN
53 int EvaluatePosition(
const double x[3],
double closestPoint[3],
int& subId,
double pcoords[3],
54 double& dist2,
double weights[])
override;
55 void EvaluateLocation(
int& subId,
const double pcoords[3],
double x[3],
double* weights)
override;
58 int subId,
const double pcoords[3],
const double* values,
int dim,
double* derivs)
override;
75 static void InterpolationFunctions(
const double pcoords[3],
double sf[3]);
76 static void InterpolationDerivs(
const double pcoords[3],
double derivs[6]);
107 int IntersectWithLine(
const double p1[3],
const double p2[3],
double tol,
double& t,
double x[3],
108 double pcoords[3],
int& subId)
override;
124 static void TriangleCenter(
125 const double p1[3],
const double p2[3],
const double p3[3],
double center[3]);
131 static double TriangleArea(
const double p1[3],
const double p2[3],
const double p3[3]);
139 static double Circumcircle(
140 const double p1[2],
const double p2[2],
const double p3[2],
double center[2]);
154 static int BarycentricCoords(
const double x[2],
const double x1[2],
const double x2[2],
155 const double x3[2],
double bcoords[3]);
162 static int ProjectTo2D(
const double x1[3],
const double x2[3],
const double x3[3],
double v1[2],
163 double v2[2],
double v3[2]);
169 static void ComputeNormal(
vtkPoints* p,
int numPts,
const vtkIdType* pts,
double n[3]);
174 static void ComputeNormal(
175 const double v1[3],
const double v2[3],
const double v3[3],
double n[3]);
180 static void ComputeNormalDirection(
181 const double v1[3],
const double v2[3],
const double v3[3],
double n[3]);
188 static int TrianglesIntersect(
const double p1[3],
const double q1[3],
const double r1[3],
189 const double p2[3],
const double q2[3],
const double r2[3]);
197 static int PointInTriangle(
198 const double x[3],
const double x1[3],
const double x2[3],
const double x3[3],
double tol2);
207 static void ComputeQuadric(
208 const double x1[3],
const double x2[3],
const double x3[3],
double quadric[4][4]);
209 static void ComputeQuadric(
210 const double x1[3],
const double x2[3],
const double x3[3],
vtkQuadric* quadric);
233 pcoords[0] = pcoords[1] = 1.0 / 3.0;
240 const double v1[3],
const double v2[3],
const double v3[3],
double n[3])
243 double ax = v3[0] - v2[0];
244 double ay = v3[1] - v2[1];
245 double az = v3[2] - v2[2];
246 double bx = v1[0] - v2[0];
247 double by = v1[1] - v2[1];
248 double bz = v1[2] - v2[2];
250 n[0] = (ay * bz - az * by);
251 n[1] = (az * bx - ax * bz);
252 n[2] = (ax * by - ay * bx);
257 const double v1[3],
const double v2[3],
const double v3[3],
double n[3])
261 double length = sqrt(n[0] * n[0] + n[1] * n[1] + n[2] * n[2]);
272 const double p1[3],
const double p2[3],
const double p3[3],
double center[3])
274 center[0] = (p1[0] + p2[0] + p3[0]) / 3.0;
275 center[1] = (p1[1] + p2[1] + p3[1]) / 3.0;
276 center[2] = (p1[2] + p2[2] + p3[2]) / 3.0;
288 VTK_ABI_NAMESPACE_END
static void InterpolationDerivs(const double pcoords[3], double derivs[6])
void PrintSelf(ostream &os, vtkIndent indent) override
Methods invoked by print to print information about the object including superclasses.
represent and manipulate point attribute data
static void TriangleCenter(const double p1[3], const double p2[3], const double p3[3], double center[3])
Compute the center of the triangle.
int GetCellType() override
See the vtkCell API for descriptions of these methods.
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...
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.
void InterpolateFunctions(const double pcoords[3], double sf[3]) override
Compute the interpolation functions/derivatives (aka shape functions/derivatives) ...
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.
virtual int CellBoundary(int subId, const double pcoords[3], vtkIdList *pts)=0
Given parametric coordinates of a point, return the closest cell boundary, and whether the point is i...
virtual double GetParametricDistance(const double pcoords[3])
Return the distance of the parametric coordinate provided to the cell.
cell represents a 1D line
abstract class to specify cell behavior
virtual void EvaluateLocation(int &subId, const double pcoords[3], double x[3], double *weights)=0
Determine global coordinate (x[3]) from subId and parametric coordinates.
a simple class to control print indentation
evaluate implicit quadric function
list of point or cell ids
void InterpolateDerivs(const double pcoords[3], double derivs[6]) override
Compute the interpolation functions/derivatives (aka shape functions/derivatives) ...
abstract superclass for arrays of numeric data
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.
static void InterpolationFunctions(const double pcoords[3], double sf[3])
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.
virtual int EvaluatePosition(const double x[3], double closestPoint[3], 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...
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 void Derivatives(int subId, const double pcoords[3], const double *values, int dim, double *derivs)=0
Compute derivatives given cell subId and parametric coordinates.
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.
virtual double * GetParametricCoords())
Return a contiguous array of parametric coordinates of the points defining this cell.
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.
virtual int IntersectWithLine(const double p1[3], const double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId)=0
Intersect with a ray.
static double TriangleArea(const double p1[3], const double p2[3], const double p3[3])
Compute the area of a triangle in 3D.
represent and manipulate 3D points