ITK  4.13.0
Insight Segmentation and Registration Toolkit
itkDiscreteGaussianCurvatureQuadEdgeMeshFilter.h
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18 #ifndef itkDiscreteGaussianCurvatureQuadEdgeMeshFilter_h
19 #define itkDiscreteGaussianCurvatureQuadEdgeMeshFilter_h
20 
22 #include "itkMath.h"
23 
24 
25 namespace itk
26 {
37 template< typename TInputMesh, typename TOutputMesh=TInputMesh >
39  public DiscreteCurvatureQuadEdgeMeshFilter< TInputMesh, TOutputMesh >
40 {
41 public:
46  TInputMesh, TOutputMesh > Superclass;
47 
50 
64 
67 
69  itkNewMacro(Self);
70 
71 #ifdef ITK_USE_CONCEPT_CHECKING
72  // Begin concept checking
73  itkConceptMacro( OutputIsFloatingPointCheck,
75  // End concept checking
76 #endif
77 
78 protected:
81 
82  virtual OutputCurvatureType EstimateCurvature(const OutputPointType & iP) ITK_OVERRIDE
83  {
84  OutputMeshPointer output = this->GetOutput();
85 
86  OutputQEType *qe = iP.GetEdge();
87 
88  if ( qe != ITK_NULLPTR )
89  {
90  OutputQEType *qe_it = qe;
91  OutputQEType *qe_it2;
92 
93  OutputPointType q0, q1;
94 
95  OutputCurvatureType sum_theta = 0.;
96  OutputCurvatureType area = 0.;
97 
98  do
99  {
100  // cell_id = qe_it->GetLeft();
101  qe_it2 = qe_it->GetOnext();
102  q0 = output->GetPoint( qe_it->GetDestination() );
103  q1 = output->GetPoint( qe_it2->GetDestination() );
104 
105  // Compute Angle;
106  sum_theta += static_cast< OutputCurvatureType >(
107  TriangleType::ComputeAngle(q0, iP, q1) );
108  area += this->ComputeMixedArea(qe_it, qe_it2);
109  qe_it = qe_it2;
110  }
111  while ( qe_it != qe );
112 
113  return ( 2.0 * itk::Math::pi - sum_theta ) / area;
114  }
115 
116  return 0.;
117  }
118 
119 private:
120  ITK_DISALLOW_COPY_AND_ASSIGN(DiscreteGaussianCurvatureQuadEdgeMeshFilter);
121 };
122 }
123 
124 #endif
DiscreteCurvatureQuadEdgeMeshFilter< TInputMesh, TOutputMesh > Superclass
Light weight base class for most itk classes.
OutputCurvatureType ComputeMixedArea(OutputQEType *iQE1, OutputQEType *iQE2)
static ITK_CONSTEXPR_VAR double pi
Definition: itkMath.h:66
see the following paper title: Discrete Differential-Geometry Operators for Triangulated 2-Manifolds ...
OutputMeshType::PointsContainerIterator OutputPointsContainerIterator
virtual OutputCurvatureType EstimateCurvature(const OutputPointType &iP) override
OutputMeshType::Pointer OutputMeshPointer
Definition: itkMeshSource.h:67
OutputMeshType::PointsContainerPointer OutputPointsContainerPointer
OutputMeshType * GetOutput()
#define itkConceptMacro(name, concept)