File: itkLaplacianOperator.txx

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

  Program:   Insight Segmentation & Registration Toolkit
  Module:    $RCSfile: itkLaplacianOperator.txx,v $
  Language:  C++
  Date:      $Date: 2004-12-20 00:04:47 $
  Version:   $Revision: 1.13 $

  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 _itkLaplacianOperator_txx
#define _itkLaplacianOperator_txx
#include "itkLaplacianOperator.h"

namespace itk
{

template<class TPixel, unsigned int VDimension, class TAllocator>
void
LaplacianOperator<TPixel, VDimension, TAllocator>
::SetDerivativeScalings( const double *s )
{
  for (unsigned int i = 0; i < VDimension; ++i)
    {
    m_DerivativeScalings[i] = s[i];
    }
}


//Create the operator
template <class TPixel, unsigned int VDimension, class TAllocator>
void
LaplacianOperator<TPixel, VDimension, TAllocator>
::CreateOperator()
{
  CoefficientVector coefficients;
  
  coefficients = this->GenerateCoefficients();

  this->Fill(coefficients);
  
}

//This function fills the coefficients into the corresponding neighborhodd.
template <class TPixel, unsigned int VDimension, class TAllocator>
void  
LaplacianOperator <TPixel, VDimension, TAllocator>
::Fill(const CoefficientVector &coeff)
{

  typename Superclass::CoefficientVector::const_iterator it;

  std::slice* temp_slice;
  temp_slice = new std::slice(0, coeff.size(),1);
  
  typename Self::SliceIteratorType data(this, *temp_slice);
  delete temp_slice;
 
  it = coeff.begin();

  // Copy the coefficients into the neighborhood
  for (data = data.Begin(); data < data.End(); ++data, ++it)
    {
    *data = *it;
    }

}

template <class TPixel, unsigned int VDimension, class TAllocator>
typename LaplacianOperator<TPixel, VDimension, TAllocator>
::CoefficientVector
LaplacianOperator<TPixel, VDimension, TAllocator>
::GenerateCoefficients()
{
  unsigned int i, w;
  
  // Here we set the radius to 1's, here the
  // operator is 3x3 for 2D, 3x3x3 for 3D.
  SizeType r;
  r.Fill(1);
  this->SetRadius(r);

  // Create a vector of the correct size to hold the coefficients.
  w = this->Size();
  CoefficientVector coeffP(w);
  
  //Set the coefficients 
  double sum = 0.0;
  double hsq;
  long stride;
  for (i = 0 ; i < 2 * VDimension; i+=2)
    {
    stride = static_cast<long>( this->GetStride(i/2) );

    hsq = m_DerivativeScalings[ i / 2]*m_DerivativeScalings[ i / 2];
    coeffP[w/2 - stride] =  coeffP[w/2 + stride] = hsq;
    sum += 2.0*hsq;
    } 
  coeffP[w/2] = - sum;

  return coeffP;
}

} // namespace itk

#endif