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/*=========================================================================
Program: Visualization Toolkit
Module: vtkBezierInterpolation.h
Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
All rights reserved.
See Copyright.txt or http://www.kitware.com/Copyright.htm for details.
This software is distributed WITHOUT ANY WARRANTY; without even
the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
PURPOSE. See the above copyright notice for more information.
=========================================================================*/
// .NAME vtkBezierInterpolation
// .SECTION Description
// .SECTION See Also
#ifndef vtkBezierInterpolation_h
#define vtkBezierInterpolation_h
#include "vtkCommonDataModelModule.h" // For export macro.
#include "vtkHigherOrderInterpolation.h"
#include "vtkSmartPointer.h" // For API.
#include "vtkVector.h" // For flattenSimplex
#include <vector> // For scratch storage.
// Define this to include support for a "complete" (21- vs 18-point) wedge.
#define VTK_21_POINT_WEDGE true
class vtkPoints;
class vtkVector2i;
class vtkVector3d;
class VTKCOMMONDATAMODEL_EXPORT vtkBezierInterpolation : public vtkHigherOrderInterpolation
{
public:
static vtkBezierInterpolation* New();
void PrintSelf(ostream& os, vtkIndent indent) override;
vtkTypeMacro(vtkBezierInterpolation, vtkHigherOrderInterpolation);
// see Geometrically Exact and Analysis Suitable Mesh Generation Using Rational Bernstein–Bezier
// Elements https://scholar.colorado.edu/cgi/viewcontent.cgi?article=1170&context=mcen_gradetds
// Chapter 3, pg 25. given a dimmension ( 2 triangle, 3 tetrahedron ) and the degree of the
// simplex flatten a simplicial bezier function's coordinate to an integer
static int flattenSimplex(const int dim, const int deg, const vtkVector3i coord);
// given a dimmension ( 2 triangle, 3 tetrahedron ) and the degree of the simplex,
// unflatten a simplicial bezier function integer to a simplicial coordinate
static vtkVector3i unflattenSimplex(const int dim, const int deg, const vtkIdType flat);
// simplicial version of deCasteljau
static void deCasteljauSimplex(
const int dim, const int deg, const double* pcoords, double* weights);
static void deCasteljauSimplexDeriv(
const int dim, const int deg, const double* pcoords, double* weights);
static void EvaluateShapeFunctions(int order, double pcoord, double* shape);
static void EvaluateShapeAndGradient(int order, double pcoord, double* shape, double* grad);
static int Tensor1ShapeFunctions(const int order[1], const double* pcoords, double* shape);
static int Tensor1ShapeDerivatives(const int order[1], const double* pcoords, double* derivs);
static int Tensor2ShapeFunctions(const int order[2], const double* pcoords, double* shape);
static int Tensor2ShapeDerivatives(const int order[2], const double* pcoords, double* derivs);
static int Tensor3ShapeFunctions(const int order[3], const double* pcoords, double* shape);
static int Tensor3ShapeDerivatives(const int order[3], const double* pcoords, double* derivs);
virtual void Tensor3EvaluateDerivative(const int order[3], const double* pcoords,
vtkPoints* points, const double* fieldVals, int fieldDim, double* fieldDerivs) override;
static void WedgeShapeFunctions(
const int order[3], const vtkIdType numberOfPoints, const double* pcoords, double* shape);
static void WedgeShapeDerivatives(
const int order[3], const vtkIdType numberOfPoints, const double* pcoords, double* derivs);
virtual void WedgeEvaluate(const int order[3], const vtkIdType numberOfPoints,
const double* pcoords, double* fieldVals, int fieldDim, double* fieldAtPCoords) override;
virtual void WedgeEvaluateDerivative(const int order[3], const double* pcoords, vtkPoints* points,
const double* fieldVals, int fieldDim, double* fieldDerivs) override;
protected:
vtkBezierInterpolation();
~vtkBezierInterpolation() override;
private:
vtkBezierInterpolation(const vtkBezierInterpolation&) = delete;
void operator=(const vtkBezierInterpolation&) = delete;
};
#endif // vtkBezierInterpolation_h
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