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/*=========================================================================
*
* Copyright NumFOCUS
*
* 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
*
* https://www.apache.org/licenses/LICENSE-2.0.txt
*
* 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 itkSigmoidImageFilter_h
#define itkSigmoidImageFilter_h
#include "itkUnaryFunctorImageFilter.h"
#include "itkMath.h"
namespace itk
{
/**
* \class SigmoidImageFilter
* \brief Computes the sigmoid function pixel-wise
*
* A linear transformation is applied first on the argument of
* the sigmoid function. The resulting total transform is given by
*
* \f[
* f(x) = (Max-Min) \cdot \frac{1}{\left(1+e^{- \frac{ x - \beta }{\alpha}}\right)} + Min
* \f]
*
* Every output pixel is equal to f(x). Where x is the intensity of the
* homologous input pixel, and alpha and beta are user-provided constants.
*
* \ingroup IntensityImageFilters MultiThreaded
*
* \ingroup ITKImageIntensity
*
* \sphinx
* \sphinxexample{Filtering/ImageIntensity/ComputeSigmoid,Compute Sigmoid}
* \endsphinx
*/
namespace Functor
{
template <typename TInput, typename TOutput>
class Sigmoid
{
public:
Sigmoid()
{
m_Alpha = 1.0;
m_Beta = 0.0;
m_OutputMinimum = NumericTraits<TOutput>::min();
m_OutputMaximum = NumericTraits<TOutput>::max();
}
~Sigmoid() = default;
bool
operator==(const Sigmoid & other) const
{
return Math::ExactlyEquals(m_Alpha, other.m_Alpha) && Math::ExactlyEquals(m_Beta, other.m_Beta) &&
Math::ExactlyEquals(m_OutputMaximum, other.m_OutputMaximum) &&
Math::ExactlyEquals(m_OutputMinimum, other.m_OutputMinimum);
}
ITK_UNEQUAL_OPERATOR_MEMBER_FUNCTION(Sigmoid);
inline TOutput
operator()(const TInput & A) const
{
const double x = (static_cast<double>(A) - m_Beta) / m_Alpha;
const double e = 1.0 / (1.0 + std::exp(-x));
const double v = (m_OutputMaximum - m_OutputMinimum) * e + m_OutputMinimum;
return static_cast<TOutput>(v);
}
void
SetAlpha(double alpha)
{
m_Alpha = alpha;
}
void
SetBeta(double beta)
{
m_Beta = beta;
}
double
GetAlpha() const
{
return m_Alpha;
}
double
GetBeta() const
{
return m_Beta;
}
void
SetOutputMinimum(TOutput min)
{
m_OutputMinimum = min;
}
void
SetOutputMaximum(TOutput max)
{
m_OutputMaximum = max;
}
TOutput
GetOutputMinimum() const
{
return m_OutputMinimum;
}
TOutput
GetOutputMaximum() const
{
return m_OutputMaximum;
}
private:
double m_Alpha;
double m_Beta;
TOutput m_OutputMinimum;
TOutput m_OutputMaximum;
};
} // namespace Functor
template <typename TInputImage, typename TOutputImage>
class SigmoidImageFilter
: public UnaryFunctorImageFilter<TInputImage,
TOutputImage,
Functor::Sigmoid<typename TInputImage::PixelType, typename TOutputImage::PixelType>>
{
public:
ITK_DISALLOW_COPY_AND_MOVE(SigmoidImageFilter);
/** Standard class type aliases. */
using Self = SigmoidImageFilter;
using Superclass =
UnaryFunctorImageFilter<TInputImage,
TOutputImage,
Functor::Sigmoid<typename TInputImage::PixelType, typename TOutputImage::PixelType>>;
using Pointer = SmartPointer<Self>;
using ConstPointer = SmartPointer<const Self>;
using OutputPixelType = typename TOutputImage::PixelType;
/** Method for creation through the object factory. */
itkNewMacro(Self);
/** \see LightObject::GetNameOfClass() */
itkOverrideGetNameOfClassMacro(SigmoidImageFilter);
void
SetAlpha(double alpha)
{
if (Math::ExactlyEquals(alpha, this->GetFunctor().GetAlpha()))
{
return;
}
this->GetFunctor().SetAlpha(alpha);
this->Modified();
}
double
GetAlpha() const
{
return this->GetFunctor().GetAlpha();
}
void
SetBeta(double beta)
{
if (Math::ExactlyEquals(beta, this->GetFunctor().GetBeta()))
{
return;
}
this->GetFunctor().SetBeta(beta);
this->Modified();
}
double
GetBeta() const
{
return this->GetFunctor().GetBeta();
}
void
SetOutputMinimum(OutputPixelType min)
{
if (Math::ExactlyEquals(min, this->GetFunctor().GetOutputMinimum()))
{
return;
}
this->GetFunctor().SetOutputMinimum(min);
this->Modified();
}
OutputPixelType
GetOutputMinimum() const
{
return this->GetFunctor().GetOutputMinimum();
}
void
SetOutputMaximum(OutputPixelType max)
{
if (Math::ExactlyEquals(max, this->GetFunctor().GetOutputMaximum()))
{
return;
}
this->GetFunctor().SetOutputMaximum(max);
this->Modified();
}
OutputPixelType
GetOutputMaximum() const
{
return this->GetFunctor().GetOutputMaximum();
}
#ifdef ITK_USE_CONCEPT_CHECKING
// Begin concept checking
itkConceptMacro(InputConvertibleToDoubleCheck, (Concept::Convertible<typename TInputImage::PixelType, double>));
itkConceptMacro(OutputAdditiveOperatorsCheck, (Concept::AdditiveOperators<OutputPixelType>));
itkConceptMacro(DoubleConvertibleToOutputCheck, (Concept::Convertible<double, OutputPixelType>));
itkConceptMacro(OutputTimesDoubleCheck, (Concept::MultiplyOperator<OutputPixelType, double>));
itkConceptMacro(OutputDoubleAdditiveOperatorsCheck,
(Concept::AdditiveOperators<OutputPixelType, OutputPixelType, double>));
// End concept checking
#endif
protected:
SigmoidImageFilter() = default;
~SigmoidImageFilter() override = default;
};
} // end namespace itk
#endif
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