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/*=========================================================================
Program: Insight Segmentation & Registration Toolkit
Module: itkCorrelationCoefficientHistogramImageToImageMetric.txx
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 __itkCorrelationCoefficientHistogramImageToImageMetric_txx
#define __itkCorrelationCoefficientHistogramImageToImageMetric_txx
#include "itkCorrelationCoefficientHistogramImageToImageMetric.h"
namespace itk
{
template <class TFixedImage, class TMovingImage>
typename CorrelationCoefficientHistogramImageToImageMetric<TFixedImage, \
TMovingImage>::MeasureType
CorrelationCoefficientHistogramImageToImageMetric<TFixedImage, TMovingImage>
::EvaluateMeasure(HistogramType& histogram) const
{
const MeasureType varianceX = this->VarianceX( histogram );
const MeasureType varianceY = this->VarianceY( histogram );
const MeasureType covariance = this->Covariance( histogram );
return vcl_fabs(covariance /( vcl_sqrt(varianceX )* vcl_sqrt(varianceY )));
}
template <class TFixedImage, class TMovingImage>
typename CorrelationCoefficientHistogramImageToImageMetric<TFixedImage, \
TMovingImage>::MeasureType
CorrelationCoefficientHistogramImageToImageMetric<TFixedImage, TMovingImage>
::MeanX(HistogramType& histogram) const
{
MeasureType meanX = NumericTraits<MeasureType>::Zero;
for (unsigned int i = 0; i < this->m_HistogramSize[0]; i++)
{
MeasureType valX = histogram.GetMeasurement(i, 0);
HistogramFrequencyType freq = histogram.GetFrequency(i, 0);
meanX += valX*freq;
}
meanX /= histogram.GetTotalFrequency();
return meanX;
}
template <class TFixedImage, class TMovingImage>
typename CorrelationCoefficientHistogramImageToImageMetric<TFixedImage, \
TMovingImage>::MeasureType
CorrelationCoefficientHistogramImageToImageMetric<TFixedImage, TMovingImage>
::MeanY(HistogramType& histogram) const
{
MeasureType meanY = NumericTraits<MeasureType>::Zero;
for (unsigned int i = 0; i < this->m_HistogramSize[1]; i++)
{
MeasureType valY = histogram.GetMeasurement(i, 1);
HistogramFrequencyType freq = histogram.GetFrequency(i, 1);
meanY += valY*freq;
}
meanY /= histogram.GetTotalFrequency();
return meanY;
}
template <class TFixedImage, class TMovingImage>
typename CorrelationCoefficientHistogramImageToImageMetric<TFixedImage, \
TMovingImage>::MeasureType
CorrelationCoefficientHistogramImageToImageMetric<TFixedImage, TMovingImage>
::VarianceX(HistogramType& histogram) const
{
MeasureType varX = NumericTraits<MeasureType>::Zero;
for (unsigned int i = 0; i < this->m_HistogramSize[0]; i++)
{
varX += static_cast<double>(histogram.GetFrequency(i, 0))/
histogram.GetTotalFrequency()*
vcl_pow(histogram.GetMeasurement(i, 0), 2);
}
return varX - vcl_pow(MeanX(histogram), 2);
}
template <class TFixedImage, class TMovingImage>
typename CorrelationCoefficientHistogramImageToImageMetric<TFixedImage, \
TMovingImage>::MeasureType
CorrelationCoefficientHistogramImageToImageMetric<TFixedImage, TMovingImage>
::VarianceY(HistogramType& histogram) const
{
MeasureType varY = NumericTraits<MeasureType>::Zero;
for (unsigned int i = 0; i < this->m_HistogramSize[1]; i++)
{
varY += static_cast<double>(histogram.GetFrequency(i, 1))/
histogram.GetTotalFrequency()*
vcl_pow(histogram.GetMeasurement(i, 1), 2);
}
return varY - vcl_pow(MeanY(histogram), 2);
}
template <class TFixedImage, class TMovingImage>
typename CorrelationCoefficientHistogramImageToImageMetric<TFixedImage, \
TMovingImage>::MeasureType
CorrelationCoefficientHistogramImageToImageMetric<TFixedImage, TMovingImage>
::Covariance(HistogramType& histogram) const
{
MeasureType var = NumericTraits<MeasureType>::Zero;
MeasureType meanX = MeanX(histogram);
MeasureType meanY = MeanY(histogram);
for (unsigned int j = 0; j < this->m_HistogramSize[1]; j++)
{
for (unsigned int i = 0; i < this->m_HistogramSize[0]; i++)
{
typename HistogramType::IndexType index;
#ifdef ITK_USE_REVIEW_STATISTICS
index.SetSize(2);
#endif
index[0] = i;
index[1] = j;
var += histogram.GetFrequency(index)*
(histogram.GetMeasurement(i, 0) - meanX)*
(histogram.GetMeasurement(j, 1) - meanY);
}
}
var /= histogram.GetTotalFrequency();
return var;
}
}
#endif // itkCorrelationCoefficientHistogramImageToImageMetric_txx
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