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/*
* Copyright (C) 2005-2017 Centre National d'Etudes Spatiales (CNES)
* Copyright (C) 2007-2012 Institut Mines Telecom / Telecom Bretagne
*
* This file is part of Orfeo Toolbox
*
* https://www.orfeo-toolbox.org/
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
#ifndef otbKullbackLeiblerDistanceImageFilter_h
#define otbKullbackLeiblerDistanceImageFilter_h
#include "itkVariableLengthVector.h"
#include "otbBinaryFunctorNeighborhoodImageFilter.h"
namespace otb
{
/** \class CumulantsForEdgeworth
* \brief Helper class for KullbackLeiblerDistanceImageFilter. Please refer to KullbackLeiblerDistanceImageFilter.
*
*
* \ingroup OTBChangeDetection
*/
template <class TInput>
class CumulantsForEdgeworth
{
public:
CumulantsForEdgeworth (const TInput& input);
CumulantsForEdgeworth (const itk::Image<typename TInput::ImageType::PixelType, 1> * input);
virtual ~CumulantsForEdgeworth () {}
/** KL Divergence calculation */
template <class TInput2>
double Divergence(const CumulantsForEdgeworth<TInput2>& cumulants);
inline double GetMean() const
{
return this->fMean;
}
inline double GetVariance() const
{
return this->fVariance;
}
inline double GetSkewness() const
{
return this->fSkewness;
}
inline double GetKurtosis() const
{
return this->fKurtosis;
}
inline bool IsDataAvailable() const
{
return this->fDataAvailable;
}
protected:
/** Moment estimation from initial neighborhood */
void MakeSumAndMoments(const TInput& input);
/** Moment estimation from raw data */
void MakeSumAndMoments(const itk::Image<typename TInput::ImageType::PixelType, 1> * input);
/** transformation moment -> cumulants (for Edgeworth) */
void MakeCumulants();
double fSum0, fSum1, fSum2, fSum3, fSum4;
double fMu1, fMu2, fMu3, fMu4;
double fMean, fVariance, fSkewness, fKurtosis;
bool fDataAvailable;
};
namespace Functor
{
/** \class KullbackLeiblerDistance
* \brief Functor for KullbackLeiblerDistanceImageFilter. Please refer to KullbackLeiblerDistanceImageFilter.
*
*
* \ingroup OTBChangeDetection
*/
template <class TInput1, class TInput2, class TOutput>
class KullbackLeiblerDistance
{
public:
KullbackLeiblerDistance () {}
virtual ~KullbackLeiblerDistance () {}
TOutput operator ()(const TInput1& it1, const TInput2& it2)
{
CumulantsForEdgeworth<TInput1> cum1 (it1);
if (!cum1.IsDataAvailable()) return static_cast<TOutput>(0.);
CumulantsForEdgeworth<TInput2> cum2 (it2);
if (!cum2.IsDataAvailable()) return static_cast<TOutput>(0.);
return static_cast<TOutput> (cum1.Divergence(cum2)
+ cum2.Divergence(cum1));
}
};
} // Functor
/** \class KullbackLeiblerDistanceImageFilter
* \brief Implements neighborhood-wise the computation of KullbackLeibler distance over Edgeworth approximation.
*
* This filter is parametrized over the types of the two
* input images and the type of the output image.
*
* Numeric conversions (castings) are done by the C++ defaults.
*
* The filter will walk over all the pixels in the two input images, and for
* each one of them it will do the following:
*
* - cast the input 1 pixel value to \c double
* - cast the input 2 pixel value to \c double
* - compute the first four cumulants of the two pixel values
* - compute the value of the Edgeorth approximation of the KL distance
* - cast the \c double value resulting to the pixel type of the output image
* - store the casted value into the output image.
*
* The filter expect all images to have the same dimension
* (e.g. all 2D, or all 3D, or all ND)
*
* See article of Lin Saito et Levine
* "Edgeworth Approximation of the Kullback-Leibler Distance Towards Problems in Image Analysis"
* and
* "Edgeworth Expansions of the Kullback-Leibler Information" (submitted to JASA, nov 25, 1999)
* http://www.math.ucdavis.edu/~saito/publications
*
* \ingroup IntensityImageFilters Multithreaded
*
* \ingroup OTBChangeDetection
*/
template <class TInputImage1, class TInputImage2, class TOutputImage>
class ITK_EXPORT KullbackLeiblerDistanceImageFilter :
public otb::BinaryFunctorNeighborhoodImageFilter<
TInputImage1, TInputImage2, TOutputImage,
Functor::KullbackLeiblerDistance<
typename itk::ConstNeighborhoodIterator<TInputImage1>,
typename itk::ConstNeighborhoodIterator<TInputImage2>,
typename TOutputImage::PixelType> >
{
public:
/** Standard class typedefs. */
typedef KullbackLeiblerDistanceImageFilter Self;
typedef otb::BinaryFunctorNeighborhoodImageFilter<
TInputImage1, TInputImage2, TOutputImage,
Functor::KullbackLeiblerDistance<
typename itk::ConstNeighborhoodIterator<TInputImage1>,
typename itk::ConstNeighborhoodIterator<TInputImage2>,
typename TOutputImage::PixelType>
> Superclass;
typedef itk::SmartPointer<Self> Pointer;
typedef itk::SmartPointer<const Self> ConstPointer;
/** Method for creation through the object factory. */
itkNewMacro(Self);
protected:
KullbackLeiblerDistanceImageFilter() {}
~KullbackLeiblerDistanceImageFilter() override {}
private:
KullbackLeiblerDistanceImageFilter(const Self &); //purposely not implemented
void operator =(const Self&); //purposely not implemented
};
} // namespace otb
#ifndef OTB_MANUAL_INSTANTIATION
#include "otbKullbackLeiblerDistanceImageFilter.txx"
#endif
#endif
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