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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 itkDiscreteGaussianCurvatureQuadEdgeMeshFilter_h
#define itkDiscreteGaussianCurvatureQuadEdgeMeshFilter_h
#include "itkDiscreteCurvatureQuadEdgeMeshFilter.h"
#include "itkMath.h"
namespace itk
{
/**
* \class DiscreteGaussianCurvatureQuadEdgeMeshFilter
* \brief see the following paper
* title: Discrete Differential-Geometry Operators for Triangulated 2-Manifolds
* authors: Mark Meyer, Mathieu Desbrun, Peter Schroder, Alan H. Barr
* conference: VisMath '02
* location: Berlin (Germany)
* \author: Arnaud Gelas, Alexandre Gouaillard
* \ingroup ITKQuadEdgeMeshFiltering
*/
template< typename TInputMesh, typename TOutputMesh=TInputMesh >
class DiscreteGaussianCurvatureQuadEdgeMeshFilter:
public DiscreteCurvatureQuadEdgeMeshFilter< TInputMesh, TOutputMesh >
{
public:
typedef DiscreteGaussianCurvatureQuadEdgeMeshFilter 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(DiscreteGaussianCurvatureQuadEdgeMeshFilter, DiscreteCurvatureQuadEdgeMeshFilter);
/** New macro for creation of through a Smart Pointer */
itkNewMacro(Self);
#ifdef ITK_USE_CONCEPT_CHECKING
// Begin concept checking
itkConceptMacro( OutputIsFloatingPointCheck,
( Concept::IsFloatingPoint< OutputCurvatureType > ) );
// End concept checking
#endif
protected:
DiscreteGaussianCurvatureQuadEdgeMeshFilter() {}
~DiscreteGaussianCurvatureQuadEdgeMeshFilter() ITK_OVERRIDE {}
virtual OutputCurvatureType EstimateCurvature(const OutputPointType & iP) ITK_OVERRIDE
{
OutputMeshPointer output = this->GetOutput();
OutputQEType *qe = iP.GetEdge();
if ( qe != ITK_NULLPTR )
{
OutputQEType *qe_it = qe;
OutputQEType *qe_it2;
OutputPointType q0, q1;
OutputCurvatureType sum_theta = 0.;
OutputCurvatureType area = 0.;
do
{
// cell_id = qe_it->GetLeft();
qe_it2 = qe_it->GetOnext();
q0 = output->GetPoint( qe_it->GetDestination() );
q1 = output->GetPoint( qe_it2->GetDestination() );
// Compute Angle;
sum_theta += static_cast< OutputCurvatureType >(
TriangleType::ComputeAngle(q0, iP, q1) );
area += this->ComputeMixedArea(qe_it, qe_it2);
qe_it = qe_it2;
}
while ( qe_it != qe );
return ( 2.0 * itk::Math::pi - sum_theta ) / area;
}
return 0.;
}
private:
ITK_DISALLOW_COPY_AND_ASSIGN(DiscreteGaussianCurvatureQuadEdgeMeshFilter);
};
}
#endif
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