/usr/include/InsightToolkit/Review/itkQuadEdgeMeshDiscreteMeanCurvatureEstimator.h is in libinsighttoolkit3-dev 3.20.1-1.
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Program: Insight Segmentation & Registration Toolkit
Module: itkQuadEdgeMeshDiscreteMeanCurvatureEstimator.h
Language: C++
Date: $Date$
Version: $Revision$
Copyright (c) Insight Software Consortium. All rights reserved.
See ITKCopyright.txt or http://www.itk.org/HTML/Copyright.htm for details.
This software is distributed WITHOUT ANY WARRANTY; without even
the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
PURPOSE. See the above copyright notices for more information.
=========================================================================*/
#ifndef __itkQuadEdgeMeshDiscreteMeanCurvatureEstimator_h
#define __itkQuadEdgeMeshDiscreteMeanCurvatureEstimator_h
#include "itkQuadEdgeMeshDiscreteCurvatureEstimator.h"
#include "itkQuadEdgeMeshParamMatrixCoefficients.h"
namespace itk
{
/**
* \class QuadEdgeMeshDiscreteMeanCurvatureEstimator
* \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)
*/
template< class TInputMesh, class TOutputMesh >
class QuadEdgeMeshDiscreteMeanCurvatureEstimator :
public QuadEdgeMeshDiscreteCurvatureEstimator< TInputMesh, TOutputMesh >
{
public:
typedef QuadEdgeMeshDiscreteMeanCurvatureEstimator Self;
typedef SmartPointer< Self > Pointer;
typedef SmartPointer< const Self > ConstPointer;
typedef QuadEdgeMeshDiscreteCurvatureEstimator< 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( QuadEdgeMeshDiscreteMeanCurvatureEstimator, QuadEdgeMeshDiscreteCurvatureEstimator );
/** New macro for creation of through a Smart Pointer */
itkNewMacro( Self );
typedef ConformalMatrixCoefficients< OutputMeshType > CoefficientType;
protected:
QuadEdgeMeshDiscreteMeanCurvatureEstimator() {}
~QuadEdgeMeshDiscreteMeanCurvatureEstimator() {}
virtual OutputCurvatureType EstimateCurvature( const OutputPointType& iP )
{
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 != 0 )
{
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 = 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;
}
private:
QuadEdgeMeshDiscreteMeanCurvatureEstimator( const Self& ); // purposely not implemented
void operator = ( const Self& ); // purposely not implemented
};
}
#endif
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