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/*=========================================================================
*
* Copyright NumFOCUS
*
* 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
*
* https://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 itkDiscreteMeanCurvatureQuadEdgeMeshFilter_h
#define itkDiscreteMeanCurvatureQuadEdgeMeshFilter_h
#include "itkDiscreteCurvatureQuadEdgeMeshFilter.h"
#include "itkQuadEdgeMeshParamMatrixCoefficients.h"
namespace itk
{
/**
* \class DiscreteMeanCurvatureQuadEdgeMeshFilter
* \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)
* \ingroup ITKQuadEdgeMeshFiltering
*/
template <typename TInputMesh, typename TOutputMesh = TInputMesh>
class ITK_TEMPLATE_EXPORT DiscreteMeanCurvatureQuadEdgeMeshFilter
: public DiscreteCurvatureQuadEdgeMeshFilter<TInputMesh, TOutputMesh>
{
public:
ITK_DISALLOW_COPY_AND_MOVE(DiscreteMeanCurvatureQuadEdgeMeshFilter);
using Self = DiscreteMeanCurvatureQuadEdgeMeshFilter;
using Pointer = SmartPointer<Self>;
using ConstPointer = SmartPointer<const Self>;
using Superclass = DiscreteCurvatureQuadEdgeMeshFilter<TInputMesh, TOutputMesh>;
using typename Superclass::InputMeshType;
using typename Superclass::InputMeshPointer;
using typename Superclass::OutputMeshType;
using typename Superclass::OutputMeshPointer;
using typename Superclass::OutputPointsContainerPointer;
using typename Superclass::OutputPointsContainerIterator;
using typename Superclass::OutputPointType;
using typename Superclass::OutputVectorType;
using typename Superclass::OutputCoordType;
using typename Superclass::OutputPointIdentifier;
using typename Superclass::OutputCellIdentifier;
using typename Superclass::OutputQEType;
using typename Superclass::OutputMeshTraits;
using typename Superclass::OutputCurvatureType;
using typename Superclass::TriangleType;
/** \see LightObject::GetNameOfClass() */
itkOverrideGetNameOfClassMacro(DiscreteMeanCurvatureQuadEdgeMeshFilter);
/** New macro for creation of through a Smart Pointer */
itkNewMacro(Self);
using CoefficientType = ConformalMatrixCoefficients<OutputMeshType>;
#ifdef ITK_USE_CONCEPT_CHECKING
// Begin concept checking
itkConceptMacro(OutputIsFloatingPointCheck, (Concept::IsFloatingPoint<OutputCurvatureType>));
// End concept checking
#endif
protected:
DiscreteMeanCurvatureQuadEdgeMeshFilter() = default;
~DiscreteMeanCurvatureQuadEdgeMeshFilter() override = default;
OutputCurvatureType
EstimateCurvature(const OutputPointType & iP) override
{
OutputMeshPointer output = this->GetOutput();
OutputQEType * qe = iP.GetEdge();
OutputCurvatureType oH(0.);
OutputVectorType Laplace;
Laplace.Fill(0.);
OutputCurvatureType area(0.);
OutputVectorType normal;
normal.Fill(0.);
if (qe != nullptr)
{
if (qe != qe->GetOnext())
{
CoefficientType coefficent;
OutputQEType * qe_it = qe;
OutputQEType * qe_it2;
OutputCurvatureType temp_area;
OutputCoordType temp_coeff;
OutputPointType q0, q1;
OutputVectorType face_normal;
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);
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-6)
{
oH = 0.;
}
else
{
if (normal.GetSquaredNorm() > 0.)
{
normal.Normalize();
Laplace *= 0.25 / area;
oH = Laplace * normal;
}
else
{
oH = 0.;
}
}
}
}
return oH;
}
};
} // namespace itk
#endif
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