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Program: Visualization Toolkit
Module: vtkBiQuadraticQuad.h
Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
All rights reserved.
See Copyright.txt or for details.
This software is distributed WITHOUT ANY WARRANTY; without even
PURPOSE. See the above copyright notice for more information.
// .NAME vtkBiQuadraticQuad - cell represents a parabolic, 9-node
// isoparametric quad
// .SECTION Description
// vtkQuadraticQuad is a concrete implementation of vtkNonLinearCell to
// represent a two-dimensional, 9-node isoparametric parabolic quadrilateral
// element with a Centerpoint. The interpolation is the standard finite
// element, quadratic isoparametric shape function. The cell includes a
// mid-edge node for each of the four edges of the cell and a center node at
// the surface. The ordering of the eight points defining the cell are point
// ids (0-3,4-8) where ids 0-3 define the four corner vertices of the quad;
// ids 4-7 define the midedge nodes (0,1), (1,2), (2,3), (3,0) and 8 define
// the face center node.
// .SECTION See Also
// vtkQuadraticEdge vtkQuadraticTriangle vtkQuadraticTetra
// vtkQuadraticHexahedron vtkQuadraticWedge vtkQuadraticPyramid
// vtkQuadraticQuad
// .SECTION Thanks
// Thanks to Soeren Gebbert who developed this class and
// integrated it into VTK 5.0.
#ifndef __vtkBiQuadraticQuad_h
#define __vtkBiQuadraticQuad_h
#include "vtkNonLinearCell.h"
class vtkQuadraticEdge;
class vtkQuad;
class vtkTriangle;
class vtkDoubleArray;
class VTK_FILTERING_EXPORT vtkBiQuadraticQuad : public vtkNonLinearCell
static vtkBiQuadraticQuad *New ();
void PrintSelf (ostream & os, vtkIndent indent);
// Description:
// Implement the vtkCell API. See the vtkCell API for descriptions
// of these methods.
int GetCellType () { return VTK_BIQUADRATIC_QUAD; }
int GetCellDimension () { return 2; }
int GetNumberOfEdges () { return 4; }
int GetNumberOfFaces () { return 0; }
vtkCell *GetEdge (int);
vtkCell *GetFace (int) { return 0; }
int CellBoundary (int subId, double pcoords[3], vtkIdList * pts);
int EvaluatePosition (double x[3], double *closestPoint,
int &subId, double pcoords[3],
double &dist2, double *weights);
void EvaluateLocation (int &subId, double pcoords[3], double x[3],
double *weights);
int Triangulate (int index, vtkIdList * ptIds, vtkPoints * pts);
void Derivatives (int subId, double pcoords[3], double *values,
int dim, double *derivs);
virtual double *GetParametricCoords();
void Contour (double value, vtkDataArray * cellScalars,
vtkIncrementalPointLocator * locator, vtkCellArray * verts,
vtkCellArray * lines, vtkCellArray * polys,
vtkPointData * inPd, vtkPointData * outPd, vtkCellData * inCd,
vtkIdType cellId, vtkCellData * outCd);
// Description:
// Clip this biquadratic quad using scalar value provided. Like contouring,
// except that it cuts the twi quads to produce linear triangles.
void Clip (double value, vtkDataArray * cellScalars,
vtkIncrementalPointLocator * locator, vtkCellArray * polys,
vtkPointData * inPd, vtkPointData * outPd,
vtkCellData * inCd, vtkIdType cellId, vtkCellData * outCd,
int insideOut);
// Description:
// Line-edge intersection. Intersection has to occur within [0,1] parametric
// coordinates and with specified tolerance.
int IntersectWithLine (double p1[3], double p2[3], double tol, double &t,
double x[3], double pcoords[3], int &subId);
// Description:
// Return the center of the pyramid in parametric coordinates.
int GetParametricCenter(double pcoords[3]);
// Description:
// @deprecated Replaced by vtkBiQuadraticQuad::InterpolateFunctions as of VTK 5.2
static void InterpolationFunctions (double pcoords[3], double weights[9]);
// Description:
// @deprecated Replaced by vtkBiQuadraticQuad::InterpolateDerivs as of VTK 5.2
static void InterpolationDerivs (double pcoords[3], double derivs[18]);
// Description:
// Compute the interpolation functions/derivatives
// (aka shape functions/derivatives)
virtual void InterpolateFunctions (double pcoords[3], double weights[9])
virtual void InterpolateDerivs (double pcoords[3], double derivs[18])
vtkQuadraticEdge *Edge;
vtkQuad *Quad;
vtkTriangle *Triangle;
vtkDoubleArray *Scalars;
vtkBiQuadraticQuad(const vtkBiQuadraticQuad&); // Not implemented.
void operator=(const vtkBiQuadraticQuad&); // Not implemented.
inline int vtkBiQuadraticQuad::GetParametricCenter(double pcoords[3])
pcoords[0] = pcoords[1] = 0.5;
pcoords[2] = 0.;
return 0;