VTK  9.1.0
vtkBezierInterpolation.h
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1/*=========================================================================
2
3 Program: Visualization Toolkit
4 Module: vtkBezierInterpolation.h
5
6 Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
7 All rights reserved.
8 See Copyright.txt or http://www.kitware.com/Copyright.htm for details.
9
10 This software is distributed WITHOUT ANY WARRANTY; without even
11 the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
12 PURPOSE. See the above copyright notice for more information.
13
14=========================================================================*/
15// .NAME vtkBezierInterpolation
16// .SECTION Description
17// .SECTION See Also
18#ifndef vtkBezierInterpolation_h
19#define vtkBezierInterpolation_h
20
21#include "vtkCommonDataModelModule.h" // For export macro.
22#include "vtkDeprecation.h" // For deprecation macros
24#include "vtkSmartPointer.h" // For API.
25#include "vtkVector.h" // For FlattenSimplex
26
27#include <vector> // For scratch storage.
28
29// Define this to include support for a "complete" (21- vs 18-point) wedge.
30#define VTK_21_POINT_WEDGE true
31
32class vtkPoints;
33class vtkVector2i;
34class vtkVector3d;
35
36class VTKCOMMONDATAMODEL_EXPORT vtkBezierInterpolation : public vtkHigherOrderInterpolation
37{
38public:
40 void PrintSelf(ostream& os, vtkIndent indent) override;
42
43 // see Geometrically Exact and Analysis Suitable Mesh Generation Using Rational Bernstein–Bezier
44 // Elements https://scholar.colorado.edu/cgi/viewcontent.cgi?article=1170&context=mcen_gradetds
45 // Chapter 3, pg 25. given a dimmension ( 2 triangle, 3 tetrahedron ) and the degree of the
46 // simplex flatten a simplicial bezier function's coordinate to an integer
47 VTK_DEPRECATED_IN_9_1_0("renamed to FlattenSimplex")
48 static int flattenSimplex(const int dim, const int deg, const vtkVector3i coord);
49 static int FlattenSimplex(const int dim, const int deg, const vtkVector3i coord);
50
51 // given a dimmension ( 2 triangle, 3 tetrahedron ) and the degree of the simplex,
52 // unflatten a simplicial bezier function integer to a simplicial coordinate
53 VTK_DEPRECATED_IN_9_1_0("renamed to UnFlattenSimplex")
54 static vtkVector3i unflattenSimplex(const int dim, const int deg, const vtkIdType flat);
55 static vtkVector3i UnFlattenSimplex(const int dim, const int deg, const vtkIdType flat);
56
57 // simplicial version of deCasteljau
58 VTK_DEPRECATED_IN_9_1_0("renamed to DeCasteljauSimplex")
59 static void deCasteljauSimplex(
60 const int dim, const int deg, const double* pcoords, double* weights);
61 static void DeCasteljauSimplex(
62 const int dim, const int deg, const double* pcoords, double* weights);
63 VTK_DEPRECATED_IN_9_1_0("renamed to DeCasteljauSimplexDeriv")
64 static void deCasteljauSimplexDeriv(
65 const int dim, const int deg, const double* pcoords, double* weights);
66 static void DeCasteljauSimplexDeriv(
67 const int dim, const int deg, const double* pcoords, double* weights);
68
69 static void EvaluateShapeFunctions(int order, double pcoord, double* shape);
70 static void EvaluateShapeAndGradient(int order, double pcoord, double* shape, double* grad);
71
72 static int Tensor1ShapeFunctions(const int order[1], const double* pcoords, double* shape);
73 static int Tensor1ShapeDerivatives(const int order[1], const double* pcoords, double* derivs);
74
75 static int Tensor2ShapeFunctions(const int order[2], const double* pcoords, double* shape);
76 static int Tensor2ShapeDerivatives(const int order[2], const double* pcoords, double* derivs);
77
78 static int Tensor3ShapeFunctions(const int order[3], const double* pcoords, double* shape);
79 static int Tensor3ShapeDerivatives(const int order[3], const double* pcoords, double* derivs);
80
81 void Tensor3EvaluateDerivative(const int order[3], const double* pcoords, vtkPoints* points,
82 const double* fieldVals, int fieldDim, double* fieldDerivs) override;
83
84 static void WedgeShapeFunctions(
85 const int order[3], const vtkIdType numberOfPoints, const double* pcoords, double* shape);
86 static void WedgeShapeDerivatives(
87 const int order[3], const vtkIdType numberOfPoints, const double* pcoords, double* derivs);
88
89 void WedgeEvaluate(const int order[3], const vtkIdType numberOfPoints, const double* pcoords,
90 double* fieldVals, int fieldDim, double* fieldAtPCoords) override;
91
92 void WedgeEvaluateDerivative(const int order[3], const double* pcoords, vtkPoints* points,
93 const double* fieldVals, int fieldDim, double* fieldDerivs) override;
94
95protected:
98
99private:
101 void operator=(const vtkBezierInterpolation&) = delete;
102};
103
104#endif // vtkBezierInterpolation_h
static vtkBezierInterpolation * New()
void PrintSelf(ostream &os, vtkIndent indent) override
Methods invoked by print to print information about the object including superclasses.
a simple class to control print indentation
Definition: vtkIndent.h:113
represent and manipulate 3D points
Definition: vtkPoints.h:143
Some derived classes for the different vectors commonly used.
Definition: vtkVector.h:478
#define VTK_DEPRECATED_IN_9_1_0(reason)
int vtkIdType
Definition: vtkType.h:332