ITK  4.6.0
Insight Segmentation and Registration Toolkit
itkFEMElement2DC0QuadraticTriangular.h
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18 
19 #ifndef __itkFEMElement2DC0QuadraticTriangular_h
20 #define __itkFEMElement2DC0QuadraticTriangular_h
21 
22 #include "itkFEMElementStd.h"
23 
24 namespace itk
25 {
26 namespace fem
27 {
58 {
59 public:
60 
67 
70 
71  // ////////////////////////////////////////////////////////////////////////
77 
79  virtual void GetIntegrationPointAndWeight(unsigned int i, VectorType & pt, Float & w, unsigned int order) const ITK_OVERRIDE;
80 
82  virtual unsigned int GetNumberOfIntegrationPoints(unsigned int order) const ITK_OVERRIDE;
83 
84  // ////////////////////////////////////////////////////////////////////////
90  virtual VectorType ShapeFunctions(const VectorType & pt) const ITK_OVERRIDE;
91 
93  virtual void ShapeFunctionDerivatives(const VectorType & pt, MatrixType & shapeD) const ITK_OVERRIDE;
94 
96  virtual bool GetLocalFromGlobalCoordinates(const VectorType & GlobalPt, VectorType & LocalPt) const ITK_OVERRIDE;
97 
98  // Since the Jacobian is not quadratic, we need to provide our
99  // own implementation of calculating the determinant and inverse.
100  virtual Float JacobianDeterminant(const VectorType & pt, const MatrixType *pJ = ITK_NULLPTR) const ITK_OVERRIDE;
101 
103  virtual void JacobianInverse(const VectorType & pt, MatrixType & invJ, const MatrixType *pJ = ITK_NULLPTR) const ITK_OVERRIDE;
104 
105 protected:
106  virtual void PrintSelf(std::ostream& os, Indent indent) const ITK_OVERRIDE;
107 
108  virtual void PopulateEdgeIds(void) ITK_OVERRIDE;
109 
110 };
111 }
112 } // end namespace itk::fem
113 
114 #endif // #ifndef __itkFEMElement2DC0QuadraticTriangular_h
virtual void GetIntegrationPointAndWeight(unsigned int i, VectorType &pt, Float &w, unsigned int order) const ITK_OVERRIDE
virtual bool GetLocalFromGlobalCoordinates(const VectorType &GlobalPt, VectorType &LocalPt) const ITK_OVERRIDE
virtual void PopulateEdgeIds(void) ITK_OVERRIDE
Implements standard node management in the element classes.
virtual void ShapeFunctionDerivatives(const VectorType &pt, MatrixType &shapeD) const ITK_OVERRIDE
virtual Float JacobianDeterminant(const VectorType &pt, const MatrixType *pJ=ITK_NULLPTR) const ITK_OVERRIDE
6-noded, quadratic, C0 continuous finite element in 2D space that defines a triangle.
virtual VectorType ShapeFunctions(const VectorType &pt) const ITK_OVERRIDE
Superclass::VectorType VectorType
Control indentation during Print() invocation.
Definition: itkIndent.h:49
virtual void JacobianInverse(const VectorType &pt, MatrixType &invJ, const MatrixType *pJ=ITK_NULLPTR) const ITK_OVERRIDE
virtual void PrintSelf(std::ostream &os, Indent indent) const ITK_OVERRIDE
Superclass::MatrixType MatrixType
virtual unsigned int GetNumberOfIntegrationPoints(unsigned int order) const ITK_OVERRIDE