otbCrossCorrelation.h

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/*
 * Copyright (C) 2005-2022 Centre National d'Etudes Spatiales (CNES)
 *
 * 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 otbCrossCorrelation_h
#define otbCrossCorrelation_h
 
#include "itkMath.h"
 
namespace otb
{
 
namespace Functor
{
 
template <class TInput1, class TInput2, class TOutput>
class CrossCorrelation
{
public:
  CrossCorrelation()
  {
  }
  virtual ~CrossCorrelation()
  {
  }
  inline TOutput operator()(const TInput1& itA, const TInput2& itB)
  {
 
    TOutput meanA = itk::NumericTraits<TOutput>::Zero;
    TOutput meanB = itk::NumericTraits<TOutput>::Zero;
 
    for (unsigned long pos = 0; pos < itA.Size(); ++pos)
    {
 
      meanA += static_cast<TOutput>(itA.GetPixel(pos));
      meanB += static_cast<TOutput>(itB.GetPixel(pos));
    }
 
    meanA /= itA.Size();
    meanB /= itB.Size();
 
    TOutput varA = itk::NumericTraits<TOutput>::Zero;
    TOutput varB = itk::NumericTraits<TOutput>::Zero;
 
    for (unsigned long pos = 0; pos < itA.Size(); ++pos)
    {
 
      varA += static_cast<TOutput>(std::pow(static_cast<double>(itA.GetPixel(pos)) - static_cast<double>(meanA), static_cast<double>(2.0)));
      varB += static_cast<TOutput>(std::pow(static_cast<double>(itB.GetPixel(pos)) - static_cast<double>(meanB), static_cast<double>(2.0)));
    }
 
    varA /= itA.Size();
    varB /= itB.Size();
 
    TOutput crossCorrel = itk::NumericTraits<TOutput>::Zero;
 
    if (varA != itk::NumericTraits<TOutput>::Zero && varB != itk::NumericTraits<TOutput>::Zero)
    {
      for (unsigned long pos = 0; pos < itA.Size(); ++pos)
      {
        crossCorrel += (static_cast<TOutput>(itA.GetPixel(pos)) - meanA) * (static_cast<TOutput>(itB.GetPixel(pos)) - meanB) /
                       (itA.Size() * std::sqrt(static_cast<double>(varA * varB)));
      }
    }
    else if (varA == itk::NumericTraits<TOutput>::Zero && varB == itk::NumericTraits<TOutput>::Zero)
    {
      crossCorrel = itk::NumericTraits<TOutput>::One;
    }
    return static_cast<TOutput>(itk::NumericTraits<TOutput>::One - crossCorrel);
  }
};
}
 
} // end namespace otb
 
#endif