File: antsHistogramParzenWindowsListSampleFunction.hxx

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

  Program:   Advanced Normalization Tools

  Copyright (c) ConsortiumOfANTS. All rights reserved.
  See accompanying COPYING.txt or
  https://github.com/stnava/ANTs/blob/master/ANTSCopyright.txt
  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 __antsHistogramParzenWindowsListSampleFunction_hxx
#define __antsHistogramParzenWindowsListSampleFunction_hxx


#include "itkArray.h"
#include "itkBSplineInterpolateImageFunction.h"
#include "itkContinuousIndex.h"
#include "itkDiscreteGaussianImageFilter.h"
#include "itkDivideImageFilter.h"
#include "itkStatisticsImageFilter.h"

namespace itk
{
namespace ants
{
namespace Statistics
{
template <typename TListSample, typename TOutput, typename TCoordRep>
HistogramParzenWindowsListSampleFunction<TListSample, TOutput, TCoordRep>::HistogramParzenWindowsListSampleFunction()
{
  this->m_NumberOfHistogramBins = 32;
  this->m_Sigma = 1.0;
}

template <typename TListSample, typename TOutput, typename TCoordRep>
HistogramParzenWindowsListSampleFunction<TListSample, TOutput, TCoordRep>::~HistogramParzenWindowsListSampleFunction() =
  default;

template <typename TListSample, typename TOutput, typename TCoordRep>
void
HistogramParzenWindowsListSampleFunction<TListSample, TOutput, TCoordRep>::SetInputListSample(
  const InputListSampleType * ptr)
{
  Superclass::SetInputListSample(ptr);

  if (!this->GetInputListSample())
  {
    return;
  }

  if (this->GetInputListSample()->Size() <= 1)
  {
    itkWarningMacro("The input list sample has <= 1 element."
                    << "Function evaluations will be equal to 0.");
    return;
  }

  const unsigned int Dimension = this->GetInputListSample()->GetMeasurementVectorSize();

  /**
   * Find the min/max values to define the histogram domain
   */

  Array<RealType> minValues(Dimension);
  minValues.Fill(NumericTraits<RealType>::max());
  Array<RealType> maxValues(Dimension);
  maxValues.Fill(NumericTraits<RealType>::NonpositiveMin());

  typename InputListSampleType::ConstIterator It = this->GetInputListSample()->Begin();
  while (It != this->GetInputListSample()->End())
  {
    InputMeasurementVectorType inputMeasurement = It.GetMeasurementVector();
    for (unsigned int d = 0; d < Dimension; d++)
    {
      if (inputMeasurement[d] < minValues[d])
      {
        minValues[d] = inputMeasurement[d];
      }
      if (inputMeasurement[d] > maxValues[d])
      {
        maxValues[d] = inputMeasurement[d];
      }
    }
    ++It;
  }

  this->m_HistogramImages.clear();
  for (unsigned int d = 0; d < Dimension; d++)
  {
    this->m_HistogramImages.push_back(HistogramImageType::New());

    typename HistogramImageType::SpacingType spacing;
    spacing[0] = (maxValues[d] - minValues[d]) / static_cast<RealType>(this->m_NumberOfHistogramBins - 1);

    using HistogramPointType = typename HistogramImageType::PointType;
    HistogramPointType origin;
    origin[0] = static_cast<typename HistogramPointType::CoordRepType>(minValues[d]) -
                static_cast<typename HistogramPointType::CoordRepType>(3.0) *
                  (static_cast<typename HistogramPointType::CoordRepType>(this->m_Sigma) *
                   static_cast<typename HistogramPointType::CoordRepType>(spacing[0]));

    typename HistogramImageType::SizeType size;
    size[0] = static_cast<unsigned int>(
      std::ceil((maxValues[d] + static_cast<RealType>(3.0) * (this->m_Sigma * static_cast<RealType>(spacing[0])) -
                 (minValues[d] - static_cast<RealType>(3.0) * (this->m_Sigma * static_cast<RealType>(spacing[0])))) /
                static_cast<RealType>(spacing[0])));

    this->m_HistogramImages[d]->SetOrigin(origin);
    this->m_HistogramImages[d]->SetSpacing(spacing);
    this->m_HistogramImages[d]->SetRegions(size);
    this->m_HistogramImages[d]->AllocateInitialized();
  }

  unsigned long count = 0;
  It = this->GetInputListSample()->Begin();
  while (It != this->GetInputListSample()->End())
  {
    InputMeasurementVectorType inputMeasurement = It.GetMeasurementVector();

    RealType newWeight = 1.0;
    if (this->GetListSampleWeights()->Size() == this->GetInputListSample()->Size())
    {
      newWeight = (*this->GetListSampleWeights())[count];
    }
    for (unsigned int d = 0; d < Dimension; d++)
    {
      typename HistogramImageType::PointType point;
      point[0] = inputMeasurement[d];

      ContinuousIndex<double, 1> cidx;
      cidx = this->m_HistogramImages[d]->
              template TransformPhysicalPointToContinuousIndex<double, SpacePrecisionType>(point);

      typename HistogramImageType::IndexType idx;

      idx[0] = static_cast<typename HistogramImageType::IndexType::IndexValueType>(std::floor(cidx[0]));
      if (this->m_HistogramImages[d]->GetLargestPossibleRegion().IsInside(idx))
      {
        RealType oldWeight = this->m_HistogramImages[d]->GetPixel(idx);
        this->m_HistogramImages[d]->SetPixel(idx,
                                             (NumericTraits<typename HistogramImageType::PixelType>::OneValue() -
                                              static_cast<typename HistogramImageType::PixelType>(cidx[0] - idx[0])) *
                                                 static_cast<typename HistogramImageType::PixelType>(newWeight) +
                                               static_cast<typename HistogramImageType::PixelType>(oldWeight));
      }
      idx[0]++;
      if (this->m_HistogramImages[d]->GetLargestPossibleRegion().IsInside(idx))
      {
        RealType oldWeight = this->m_HistogramImages[d]->GetPixel(idx);
        this->m_HistogramImages[d]->SetPixel(idx,
                                             (NumericTraits<typename HistogramImageType::PixelType>::OneValue() -
                                              static_cast<typename HistogramImageType::PixelType>(idx[0] - cidx[0])) *
                                                 static_cast<typename HistogramImageType::PixelType>(newWeight) +
                                               static_cast<typename HistogramImageType::PixelType>(oldWeight));
      }
    }
    ++count;
    ++It;
  }
  for (unsigned int d = 0; d < Dimension; d++)
  {
    typedef DiscreteGaussianImageFilter<HistogramImageType, HistogramImageType> GaussianFilterType;
    typename GaussianFilterType::Pointer                                        gaussian = GaussianFilterType::New();
    gaussian->SetInput(this->m_HistogramImages[d]);
    gaussian->SetVariance(this->m_Sigma * this->m_Sigma);
    gaussian->SetMaximumError(0.01);
    gaussian->SetUseImageSpacing(false);
    gaussian->Update();

    typedef StatisticsImageFilter<HistogramImageType> StatsFilterType;
    typename StatsFilterType::Pointer                 stats = StatsFilterType::New();
    stats->SetInput(gaussian->GetOutput());
    stats->Update();

    typedef DivideImageFilter<HistogramImageType, HistogramImageType, HistogramImageType> DividerType;
    typename DividerType::Pointer                                                         divider = DividerType::New();
    divider->SetInput(gaussian->GetOutput());
    divider->SetConstant(stats->GetSum());
    divider->Update();
    this->m_HistogramImages[d] = divider->GetOutput();
  }

  this->m_Interpolators.clear();
  this->m_Interpolators.resize(this->m_HistogramImages.size());
    for (size_t d = 0; d < m_HistogramImages.size(); ++d)
    {
        this->m_Interpolators[d] = InterpolatorType::New();
        this->m_Interpolators[d]->SetSplineOrder(3);
        this->m_Interpolators[d]->SetInputImage(m_HistogramImages[d]);
    }
}

template <typename TListSample, typename TOutput, typename TCoordRep>
TOutput
HistogramParzenWindowsListSampleFunction<TListSample, TOutput, TCoordRep>::Evaluate(
  const InputMeasurementVectorType & measurement) const
{
  try
  {
    RealType probability = 1.0;
    for (unsigned int d = 0; d < this->m_HistogramImages.size(); d++)
    {
      typename HistogramImageType::PointType point;
      point[0] = measurement[d];

      if (this->m_Interpolators[d]->IsInsideBuffer(point))
      {
        probability *= static_cast<RealType>(this->m_Interpolators[d]->Evaluate(point));
      }
      else
      {
        return 0;
      }
    }
    return probability;
  }
  catch (...)
  {
    return 0;
  }
}

/**
 * Standard "PrintSelf" method
 */
template <typename TListSample, typename TOutput, typename TCoordRep>
void
HistogramParzenWindowsListSampleFunction<TListSample, TOutput, TCoordRep>::PrintSelf(std::ostream & os,
                                                                                     Indent         indent) const
{
  os << indent << "Sigma: " << this->m_Sigma << std::endl;
  os << indent << "Number of histogram bins: " << this->m_NumberOfHistogramBins << std::endl;
}
} // end of namespace Statistics
} // end of namespace ants
} // end of namespace itk

#endif