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itkQuadEdgeMeshDiscreteCurvatureEstimator.h

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00001 /*=========================================================================
00002 
00003   Program:   Insight Segmentation & Registration Toolkit
00004   Module:    $RCSfile: itkQuadEdgeMeshDiscreteCurvatureEstimator.h,v $
00005   Language:  C++
00006   Date:      $Date: 2010-01-14 18:19:08 $
00007   Version:   $Revision: 1.4 $
00008 
00009   Copyright (c) Insight Software Consortium. All rights reserved.
00010   See ITKCopyright.txt or http://www.itk.org/HTML/Copyright.htm for details.
00011 
00012      This software is distributed WITHOUT ANY WARRANTY; without even
00013      the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
00014      PURPOSE.  See the above copyright notices for more information.
00015 
00016 =========================================================================*/
00017 
00018 #ifndef __itkQuadEdgeMeshDiscreteCurvatureEstimator_h
00019 #define __itkQuadEdgeMeshDiscreteCurvatureEstimator_h
00020 
00021 #include <itkQuadEdgeMeshToQuadEdgeMeshFilter.h>
00022 #include "itkTriangleHelper.h"
00023 
00024 namespace itk
00025 {
00032 template< class TInputMesh, class TOutputMesh >
00033 class QuadEdgeMeshDiscreteCurvatureEstimator :
00034   public QuadEdgeMeshToQuadEdgeMeshFilter< TInputMesh, TOutputMesh >
00035 {
00036 public:
00037   typedef QuadEdgeMeshDiscreteCurvatureEstimator                          Self;
00038   typedef SmartPointer< Self >                                            Pointer;
00039   typedef SmartPointer< const Self >                                      ConstPointer;
00040   typedef QuadEdgeMeshToQuadEdgeMeshFilter< TInputMesh, TOutputMesh >     Superclass;
00041 
00042   typedef TInputMesh                                              InputMeshType;
00043   typedef typename InputMeshType::Pointer                         InputMeshPointer;
00044 
00045   typedef TOutputMesh                                             OutputMeshType;
00046   typedef typename OutputMeshType::Pointer                        OutputMeshPointer;
00047   typedef typename OutputMeshType::PointsContainerPointer         OutputPointsContainerPointer;
00048   typedef typename OutputMeshType::PointsContainerIterator        OutputPointsContainerIterator;
00049   typedef typename OutputMeshType::PointType                      OutputPointType;
00050   typedef typename OutputPointType::CoordRepType                  OutputCoordType;
00051   typedef typename OutputMeshType::PointIdentifier                OutputPointIdentifier;
00052   typedef typename OutputMeshType::CellIdentifier                 OutputCellIdentifier;
00053   typedef typename OutputMeshType::QEType                         OutputQEType;
00054   typedef typename OutputMeshType::MeshTraits                     OutputMeshTraits;
00055   typedef typename OutputMeshTraits::PixelType                    OutputCurvatureType;
00056 
00057   typedef TriangleHelper< OutputPointType >                       TriangleType;
00058 
00060   itkTypeMacro( QuadEdgeMeshDiscreteCurvatureEstimator, QuadEdgeMeshToQuadEdgeMeshFilter );
00061 
00062 protected:
00063   QuadEdgeMeshDiscreteCurvatureEstimator() {}
00064   ~QuadEdgeMeshDiscreteCurvatureEstimator() {}
00065 
00066   virtual OutputCurvatureType EstimateCurvature( const OutputPointType& iP ) = 0;
00067 
00068   OutputCurvatureType ComputeMixedArea( OutputQEType* iQE1, OutputQEType* iQE2 )
00069     {
00070     OutputMeshPointer output = this->GetOutput();
00071 
00072     OutputPointIdentifier id[3];
00073     id[0] = iQE1->GetOrigin();
00074     id[1] = iQE1->GetDestination();
00075     id[2] = iQE2->GetDestination();
00076 
00077     OutputPointType p[3];
00078 
00079     for( int i = 0; i < 3; i++ )
00080       {
00081       p[i] = output->GetPoint( id[i] );
00082       }
00083 
00084     if( !TriangleType::IsObtuse( p[0], p[1], p[2] ) )
00085       {
00086       OutputCurvatureType sq_d01 =
00087         static_cast< OutputCurvatureType >(
00088           p[0].SquaredEuclideanDistanceTo( p[1] ) );
00089       OutputCurvatureType sq_d02 =
00090         static_cast< OutputCurvatureType >(
00091           p[0].SquaredEuclideanDistanceTo( p[2] ) );
00092 
00093       OutputCurvatureType cot_theta_210 =
00094         TriangleType::Cotangent( p[2], p[1], p[0] );
00095       OutputCurvatureType cot_theta_021 =
00096         TriangleType::Cotangent( p[0], p[2], p[1] );
00097 
00098       return 0.125 * ( sq_d02 * cot_theta_210 + sq_d01 * cot_theta_021 );
00099       }
00100     else
00101       {
00102       OutputCurvatureType area =
00103         static_cast< OutputCurvatureType >(
00104           TriangleType::ComputeArea( p[0], p[1], p[2] ) );
00105       if( ( p[1] - p[0] ) * ( p[2] - p[0] ) < 0. )
00106         {
00107         return 0.5 * area;
00108         }
00109       else
00110         {
00111         return 0.25 * area;
00112         }
00113       }
00114     }
00115 
00116   virtual void GenerateData()
00117     {
00118     this->CopyInputMeshToOutputMesh();
00119 
00120     OutputMeshPointer output = this->GetOutput();
00121 
00122     OutputPointsContainerPointer points = output->GetPoints();
00123     OutputPointsContainerIterator p_it = points->Begin();
00124 
00125     OutputCurvatureType curvature;
00126 
00127     while( p_it != points->End() )
00128       {
00129       curvature = EstimateCurvature( p_it->Value() );
00130       output->SetPointData( p_it->Index(), curvature );
00131       ++p_it;
00132       }
00133     }
00134 
00135 private:
00136   QuadEdgeMeshDiscreteCurvatureEstimator( const Self& ); // purposely not implemented
00137   void operator = ( const Self& ); // purposely not implemented
00138 
00139 };
00140 
00141 } // end namespace itk
00142 
00143 #endif
00144 

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