itkQuadEdgeMeshDiscreteMeanCurvatureEstimator.h

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/*=========================================================================

  Program:   Insight Segmentation & Registration Toolkit
  Module:    $RCSfile: itkQuadEdgeMeshDiscreteMeanCurvatureEstimator.h,v $
  Language:  C++
  Date:      $Date: 2008-10-01 22:00:55 $
  Version:   $Revision: 1.2 $

  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
{
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;

  itkTypeMacro( QuadEdgeMeshDiscreteMeanCurvatureEstimator, QuadEdgeMeshDiscreteCurvatureEstimator );

  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. );
    
    if( qe != 0 )
      {
      CoefficientType coefficent;

      OutputQEType* qe_it = qe;
      OutputQEType* qe_it2;
      OutputCurvatureType area( 0. );
      OutputPointType q0, q1;
      OutputVectorType u;

      if( qe_it != qe_it->GetOnext() )
        {
        qe_it = qe;
        do
          {
          qe_it2 = qe_it->GetOnext();
          q0 = output->GetPoint( qe_it->GetDestination() );
          Laplace += coefficent( output, qe_it ) * ( iP - q0 );
          area += ComputeMixedArea( qe_it, qe_it2 );
          qe_it = qe_it2;
          } while( qe_it != qe );
        Laplace *= ( area > 1e-6 ? 0.25 /area : 0. );
        oH = Laplace.GetNorm();
        }
      }
    return oH;
    }

private:
  QuadEdgeMeshDiscreteMeanCurvatureEstimator( const Self& ); // purposely not implemented 
  void operator = ( const Self& ); // purposely not implemented 

};

}
#endif

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