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itkPathFunctions.h

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00001 /*=========================================================================
00002 
00003   Program:   Insight Segmentation & Registration Toolkit
00004   Module:    $RCSfile: itkPathFunctions.h,v $
00005   Language:  C++
00006   Date:      $Date: 2006/11/09 14:23:30 $
00007   Version:   $Revision: 1.5 $
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 #ifndef __itkPathFunctions_h
00018 #define __itkPathFunctions_h
00019 
00020 
00021 #include "itkPath.h"
00022 #include "itkChainCodePath.h"
00023 #include "itkFourierSeriesPath.h"
00024 #include "itkOffset.h"
00025 #include <math.h>
00026 
00027 namespace itk
00028 {
00029 
00030 
00031 
00036 template <class TChainCodePath, class TPathInput>
00037 void MakeChainCodeTracePath( TChainCodePath & chainPath,
00038                              const TPathInput & inPath,
00039                              bool restrictMovement = false )
00040 {
00041   typedef typename TChainCodePath::OffsetType OffsetType;
00042   typedef typename TChainCodePath::InputType  ChainInputType;
00043   typedef typename TChainCodePath::OutputType ChainOutputType;
00044   typedef typename TPathInput::InputType      InPathInputType;
00045   typedef typename TPathInput::OutputType     InPathOutputType;
00046 
00047   OffsetType offset, tempOffset, zeroOffset;
00048   InPathInputType inPathInput;
00049   int dimension = OffsetType::GetOffsetDimension();
00050   
00051   zeroOffset.Fill(0);
00052   
00053   chainPath.Clear();
00054   inPathInput = inPath.StartOfInput();
00055   chainPath.SetStart(  inPath.EvaluateToIndex( inPathInput )  );
00056   
00057   for(ChainInputType chainInput=0;;)
00058     {
00059     offset  = inPath.IncrementInput(inPathInput);
00060     if( zeroOffset == offset ) { break; }
00061     
00062     if( ! restrictMovement )
00063       {
00064       chainPath.InsertStep( chainInput++, offset );
00065       }
00066     else
00067       {
00068       for( int d=0; d<dimension; d++ )
00069         {
00070         tempOffset.Fill(0);
00071         tempOffset[d] = offset[d];
00072         chainPath.InsertStep( chainInput++, tempOffset );
00073         }
00074       }
00075     }
00076 }
00077 
00078 
00079 
00086 template <class TFourierSeriesPath, class TChainCodePath>
00087 void MakeFourierSeriesPathTraceChainCode( TFourierSeriesPath & FSPath,
00088                              const TChainCodePath & chainPath,
00089                              unsigned int numHarmonics = 8 )
00090 {
00091   typedef typename TFourierSeriesPath::IndexType  IndexType;
00092   typedef typename TFourierSeriesPath::OffsetType OffsetType;
00093   typedef typename TFourierSeriesPath::VectorType VectorType;
00095 
00096   typedef typename TFourierSeriesPath::InputType  FSInputType;
00097   typedef typename TFourierSeriesPath::OutputType FSOutputType;
00098   typedef typename TChainCodePath::InputType      ChainInputType;
00099   typedef typename TChainCodePath::OutputType     ChainOutputType;
00100   
00101   IndexType   index;
00102   VectorType  indexVector;
00103   VectorType  cosCoefficient;
00104   VectorType  sinCoefficient;
00105   FSInputType theta;
00106   int         dimension =     OffsetType::GetOffsetDimension();
00107   unsigned    numSteps  =     chainPath.NumberOfSteps();
00108   
00109   const double PI = 4.0 * atan( 1.0 );
00110 
00111   FSPath.Clear();
00112   
00113   // Adjust our private copy of numHarmonics if necessary
00114   if( numHarmonics <= 1 )
00115     numHarmonics = 2;
00116   else if( numHarmonics*2 > numSteps )
00117     numHarmonics = numSteps / 2;
00118   
00119   for( unsigned n=0; n<numHarmonics; n++ )
00120     {
00121     index = chainPath.GetStart();
00122     cosCoefficient.Fill(0.0);
00123     sinCoefficient.Fill(0.0);
00124     
00125     for( ChainInputType step=0; step<numSteps; step++ )
00126       {
00127       index += chainPath.Evaluate( step );
00128       theta = 2 * n * PI * ( double(step+1)) / numSteps;
00129       
00130       // turn the current index into a vector
00131       for( int d=0; d<dimension; d++ )
00132         indexVector[d] = index[d];
00133       
00134       cosCoefficient += indexVector * (cos(theta)/numSteps);
00135       sinCoefficient += indexVector * (sin(theta)/numSteps);
00136       }
00137     
00138     FSPath.AddHarmonic( cosCoefficient, sinCoefficient );
00139     }
00140 }
00141 
00142 
00143 
00144 } // end namespace itk
00145 
00146 #endif
00147 

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