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

  Program:   Insight Segmentation & Registration Toolkit
  Module:    itkAtanRegularizedHeavisideStepFunction.h
  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 __itkAtanRegularizedHeavisideStepFunction_h
#define __itkAtanRegularizedHeavisideStepFunction_h

#include "itkRegularizedHeavisideStepFunction.h"

namespace itk
{

/** \class AtanRegularizedHeavisideStepFunction
 *
 * \brief Atan-based implementation of the Regularized (smoothed) Heaviside functions.
 *
 * \author Mosaliganti K., Smith B., Gelas A., Gouaillard A., Megason S.
 *
 *  This code was taken from the Insight Journal paper:
 *
 *      "Cell Tracking using Coupled Active Surfaces for Nuclei and Membranes"
 *      http://www.insight-journal.org/browse/publication/642
 *      http://hdl.handle.net/10380/3055
 *
 *  That is based on the papers:
 *
 *      "Level Set Segmentation: Active Contours without edge"
 *      http://www.insight-journal.org/browse/publication/322
 *      http://hdl.handle.net/1926/1532
 *
 *      and
 *
 *      "Level set segmentation using coupled active surfaces"
 *      http://www.insight-journal.org/browse/publication/323
 *      http://hdl.handle.net/1926/1533
 *
 *
 */
template< class TInput = float, class TOutput = double >
class AtanRegularizedHeavisideStepFunction : 
 public RegularizedHeavisideStepFunction< TInput, TOutput >
{
public:
  typedef AtanRegularizedHeavisideStepFunction                  Self;
  typedef RegularizedHeavisideStepFunction< TInput, TOutput >   Superclass;
  typedef SmartPointer<Self>                                    Pointer;
  typedef SmartPointer<const Self>                              ConstPointer;

  itkNewMacro( Self );
 
  itkTypeMacro( AtanRegularizedHeavisideStepFunction, RegularizedHeavisideStepFunction );

  typedef typename Superclass::InputType                        InputType;
  typedef typename Superclass::OutputType                       OutputType;
  typedef typename Superclass::RealType                         RealType;

  /** Evaluate at the specified input position */
  virtual OutputType Evaluate( const InputType& input ) const
    {
    return 0.5 + ( vnl_math::one_over_pi * vcl_atan( input * this->GetOneOverEpsilon() ) );
    }

  /** Evaluate the derivative at the specified input position */
  virtual OutputType EvaluateDerivative( const InputType& input ) const
    {
    const RealType t = ( input * this->GetOneOverEpsilon() );
    return static_cast< OutputType>( vnl_math::one_over_pi / (1.0 + t * t ) );
    }

protected:
  AtanRegularizedHeavisideStepFunction() {}
  virtual ~AtanRegularizedHeavisideStepFunction() {}

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

};

}

#endif