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/*=========================================================================
*
* Copyright Insight Software Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0.txt
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*
*=========================================================================*/
#ifndef itkDiscretePrincipalCurvaturesQuadEdgeMeshFilter_h
#define itkDiscretePrincipalCurvaturesQuadEdgeMeshFilter_h
#include "itkDiscreteCurvatureQuadEdgeMeshFilter.h"
#include "itkQuadEdgeMeshParamMatrixCoefficients.h"
namespace itk
{
/**
* \class DiscretePrincipalCurvaturesQuadEdgeMeshFilter
*
* \brief FIXME add documentation here
*
* \ingroup ITKQuadEdgeMeshFiltering
*/
template< typename TInputMesh, typename TOutputMesh=TInputMesh >
class DiscretePrincipalCurvaturesQuadEdgeMeshFilter:
public DiscreteCurvatureQuadEdgeMeshFilter< TInputMesh, TOutputMesh >
{
public:
typedef DiscretePrincipalCurvaturesQuadEdgeMeshFilter Self;
typedef SmartPointer< Self > Pointer;
typedef SmartPointer< const Self > ConstPointer;
typedef DiscreteCurvatureQuadEdgeMeshFilter<
TInputMesh, TOutputMesh > Superclass;
typedef typename Superclass::InputMeshType InputMeshType;
typedef typename Superclass::InputMeshPointer InputMeshPointer;
typedef typename Superclass::OutputMeshType OutputMeshType;
typedef typename Superclass::OutputMeshPointer OutputMeshPointer;
typedef typename Superclass::OutputPointsContainerPointer OutputPointsContainerPointer;
typedef typename Superclass::OutputPointsContainerIterator OutputPointsContainerIterator;
typedef typename Superclass::OutputPointType OutputPointType;
typedef typename Superclass::OutputVectorType OutputVectorType;
typedef typename Superclass::OutputCoordType OutputCoordType;
typedef typename Superclass::OutputPointIdentifier OutputPointIdentifier;
typedef typename Superclass::OutputCellIdentifier OutputCellIdentifier;
typedef typename Superclass::OutputQEType OutputQEType;
typedef typename Superclass::OutputMeshTraits OutputMeshTraits;
typedef typename Superclass::OutputCurvatureType OutputCurvatureType;
typedef typename Superclass::TriangleType TriangleType;
/** Run-time type information (and related methods). */
itkTypeMacro(DiscretePrincipalCurvaturesQuadEdgeMeshFilter, DiscreteCurvatureQuadEdgeMeshFilter);
typedef ConformalMatrixCoefficients< OutputMeshType > CoefficientType;
#ifdef ITK_USE_CONCEPT_CHECKING
// Begin concept checking
itkConceptMacro( OutputIsFloatingPointCheck,
( Concept::IsFloatingPoint< OutputCurvatureType > ) );
// End concept checking
#endif
protected:
DiscretePrincipalCurvaturesQuadEdgeMeshFilter():
m_Gaussian(0.0), m_Mean(0.0){}
~DiscretePrincipalCurvaturesQuadEdgeMeshFilter() ITK_OVERRIDE {}
OutputCurvatureType m_Gaussian;
OutputCurvatureType m_Mean;
void ComputeMeanAndGaussianCurvatures(const OutputPointType & iP)
{
OutputMeshPointer output = this->GetOutput();
OutputQEType *qe = iP.GetEdge();
m_Mean = 0.;
m_Gaussian = 0.;
if ( qe != ITK_NULLPTR )
{
OutputVectorType Laplace;
Laplace.Fill(0.);
OutputQEType *qe_it = qe;
OutputCurvatureType area(0.), sum_theta(0.);
if ( qe_it != qe_it->GetOnext() )
{
qe_it = qe;
OutputQEType *qe_it2;
OutputPointType q0, q1;
OutputVectorType face_normal;
OutputVectorType normal;
normal.Fill(0.);
OutputCurvatureType temp_area;
OutputCoordType temp_coeff;
CoefficientType coefficent;
do
{
qe_it2 = qe_it->GetOnext();
q0 = output->GetPoint( qe_it->GetDestination() );
q1 = output->GetPoint( qe_it2->GetDestination() );
temp_coeff = coefficent(output, qe_it);
Laplace += temp_coeff * ( iP - q0 );
// Compute Angle;
sum_theta += static_cast< OutputCurvatureType >(
TriangleType::ComputeAngle(q0, iP, q1) );
temp_area = this->ComputeMixedArea(qe_it, qe_it2);
area += temp_area;
face_normal = TriangleType::ComputeNormal(q0, iP, q1);
normal += face_normal;
qe_it = qe_it2;
}
while ( qe_it != qe );
if ( area > 1e-10 )
{
area = 1. / area;
Laplace *= 0.25 * area;
m_Mean = Laplace * normal;
m_Gaussian = ( 2. * itk::Math::pi - sum_theta ) * area;
}
}
}
}
virtual OutputCurvatureType ComputeDelta()
{
return std::max( static_cast<OutputCurvatureType>( 0. ),
m_Mean * m_Mean - m_Gaussian );
}
private:
DiscretePrincipalCurvaturesQuadEdgeMeshFilter(const Self &); // purposely
// not
// implemented
void operator=(const Self &); // purposely
// not
// implemented
};
}
#endif
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