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

  Program:   ORFEO Toolbox
  Language:  C++
  Date:      $Date$
  Version:   $Revision$


  Copyright (c) Centre National d'Etudes Spatiales. All rights reserved.
  See OTBCopyright.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 otbFlusserPathFunction_h
#define otbFlusserPathFunction_h

#include "otbRealMomentPathFunction.h"

namespace otb
{

/**
 * \class FlusserPathFunction
 * \brief Calculate the Flusser's invariant parameters.
 *
 * Calculate the Flusser's invariant over a path and defined as:
 *
 * - \f$ \psi_{1} = c_{11} \f$
 * - \f$ \psi_{2} = c_{21} c_{12} \f$
 * - \f$ \psi_{3} = Re (c_{20} c_{12}^{2} )\f$
 * - \f$ \psi_{4} = Im (c_{20} c_{12}^{2} )\f$
 * - \f$ \psi_{5} = Re (c_{30} c_{12}^{3} )\f$
 * - \f$ \psi_{6} = Im (c_{30} c_{12}^{3} )\f$
 * - \f$ \psi_{7} = c_{22} \f$
 * - \f$ \psi_{8} = Re (c_{31} c_{12}^{2} )\f$
 * - \f$ \psi_{9} = Im (c_{31} c_{12}^{2} )\f$
 * - \f$ \psi_{10} = Re (c_{40} c_{12}^{4} )\f$
 * - \f$ \psi_{11} = Im (c_{40} c_{12}^{4} )\f$
 *
 * With :
 *
 *  \f[  c_{p, q}=\int \int (x+iy)^{p} \cdot (x-iy)^{q} \cdot f(x, y) \cdot
 dx \cdot dy \f]
 *
 * And:
 *  - \f$(x, y)\f$ pixel localization;
 *  - \f$ f(x, y)\f$ the pixel value over the \f$(x, y)\f$ coordinate.
 *
 * This class is templated over the input image type and the
 * coordinate representation type (e.g. float or double).
 *
 * \ingroup PathFunctions
 *
 * \ingroup OTBMoments
 */

template <class TInputPath,
    class TOutput      = double,
    class TPrecision   = double>
class ITK_EXPORT FlusserPathFunction :
  public RealMomentPathFunction<TInputPath, TOutput, TPrecision>
{
public:
  /** Standard class typedefs. */
  typedef FlusserPathFunction                                     Self;
  typedef RealMomentPathFunction<TInputPath, TOutput, TPrecision> Superclass;
  typedef itk::SmartPointer<Self>                                 Pointer;
  typedef itk::SmartPointer<const Self>                           ConstPointer;

  /** Run-time type information (and related methods). */
  itkTypeMacro(FlusserPathFunction, RealMomentPathFunction);

  /** Method for creation through the object factory. */
  itkNewMacro(Self);

  /** InputPathType typedef support. */
  typedef typename Superclass::PathType              PathType;
  typedef typename Superclass::PathConstPointer      PathConstPointer;
  typedef typename PathType::ContinuousIndexType     VertexType;
  typedef itk::VectorContainer<unsigned, VertexType> VertexListType;
  typedef typename VertexListType::ConstPointer      VertexListPointer;

  typedef typename Superclass::RealType RealType;

  /** Type for calculation precision */
  typedef typename Superclass::PrecisionType PrecisionType;

  /** Evaluate the function at non-integer positions */
  RealType Evaluate(const PathType& path) const ITK_OVERRIDE;
  virtual RealType Evaluate() const;
  /** Get/Set the radius of the neighborhood over which the
      statistics are evaluated */
  itkSetMacro(MomentNumber, short);
  itkGetConstReferenceMacro(MomentNumber, short);

protected:
  FlusserPathFunction();
  ~FlusserPathFunction() ITK_OVERRIDE {}
  void PrintSelf(std::ostream& os, itk::Indent indent) const ITK_OVERRIDE;

private:
  FlusserPathFunction(const Self &);  //purposely not implemented
  void operator =(const Self&);  //purposely not implemented

  short m_MomentNumber;
};

} // namespace otb

#ifndef OTB_MANUAL_INSTANTIATION
#include "otbFlusserPathFunction.txx"
#endif

#endif