/usr/include/InsightToolkit/Review/itkSinRegularizedHeavisideStepFunction.h is in libinsighttoolkit3-dev 3.20.1-1.
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Program: Insight Segmentation & Registration Toolkit
Module: itkSinRegularizedHeavisideStepFunction.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 __itkSinRegularizedHeavisideStepFunction_h
#define __itkSinRegularizedHeavisideStepFunction_h
#include "itkRegularizedHeavisideStepFunction.h"
namespace itk
{
/** \class SinRegularizedHeavisideStepFunction
*
* \brief Sin-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 SinRegularizedHeavisideStepFunction :
public RegularizedHeavisideStepFunction< TInput, TOutput >
{
public:
typedef SinRegularizedHeavisideStepFunction Self;
typedef RegularizedHeavisideStepFunction< TInput, TOutput > Superclass;
typedef SmartPointer<Self> Pointer;
typedef SmartPointer<const Self> ConstPointer;
itkNewMacro( Self );
itkTypeMacro( SinRegularizedHeavisideStepFunction, 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
{
if( input >= this->GetEpsilon() )
{
return 1.0;
}
else
{
if( input <= -this->GetEpsilon() )
{
return 0.0;
}
else
{
const RealType angleFactor = 0.5 * vnl_math::pi * this->GetOneOverEpsilon();
const RealType angle = input * angleFactor;
return 0.5 * ( 1.0 + vcl_sin( angle ) );
}
}
}
/** Evaluate the derivative at the specified input position */
virtual OutputType EvaluateDerivative( const InputType& input ) const
{
if( vnl_math_abs( input ) >= this->GetEpsilon() )
{
return 0.0;
}
else
{
const RealType angleFactor = 0.5 * vnl_math::pi * this->GetOneOverEpsilon();
const RealType angle = input * angleFactor;
return 0.5 * angleFactor * vcl_cos( angle );
}
}
protected:
SinRegularizedHeavisideStepFunction() {}
virtual ~SinRegularizedHeavisideStepFunction() {}
private:
SinRegularizedHeavisideStepFunction(const Self& ); //purposely not implemented
void operator=(const Self& ); //purposely not implemented
};
}
#endif
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