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/*=========================================================================
*
* Copyright Insight Software Consortium
*
* 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.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 itkTikhonovDeconvolutionImageFilter_h
#define itkTikhonovDeconvolutionImageFilter_h
#include "itkInverseDeconvolutionImageFilter.h"
namespace itk
{
/** \class TikhonovDeconvolutionImageFilter
* \brief An inverse deconvolution filter regularized in the Tikhonov sense.
*
* The Tikhonov deconvolution filter is the inverse deconvolution
* filter with a regularization term added to the denominator.
* The filter minimizes the equation
* \f[ ||\hat{f} \otimes h - g||_{L_2}^2 + \mu||\hat{f}||^2
* \f]
* where \f$\hat{f}\f$ is the estimate of the unblurred image,
* \f$h\f$ is the blurring kernel, \f$g\f$ is the blurred image, and
* \f$\mu\f$ is a non-negative real regularization function.
*
* The filter applies a kernel described in the Fourier domain as
* \f$H^*(\omega) / (|H(\omega)|^2 + \mu)\f$ where \f$H(\omega)\f$ is
* the Fourier transform of \f$h\f$. The term \f$\mu\f$ is called
* RegularizationConstant in this filter. If \f$\mu\f$ is set to zero,
* this filter is equivalent to the InverseDeconvolutionImageFilter.
*
* \author Gaetan Lehmann, Biologie du Developpement et de la Reproduction, INRA de Jouy-en-Josas, France
* \author Cory Quammen, The University of North Carolina at Chapel Hill
*
* \ingroup ITKDeconvolution
*
*/
template< typename TInputImage, typename TKernelImage = TInputImage, typename TOutputImage = TInputImage, typename TInternalPrecision=double >
class ITK_TEMPLATE_EXPORT TikhonovDeconvolutionImageFilter :
public InverseDeconvolutionImageFilter< TInputImage, TKernelImage, TOutputImage, TInternalPrecision >
{
public:
typedef TikhonovDeconvolutionImageFilter Self;
typedef InverseDeconvolutionImageFilter< TInputImage,
TKernelImage,
TOutputImage,
TInternalPrecision > Superclass;
typedef SmartPointer< Self > Pointer;
typedef SmartPointer< const Self > ConstPointer;
/** Method for creation through the object factory. */
itkNewMacro(Self);
/** Run-time type information ( and related methods ) */
itkTypeMacro(TikhonovDeconvolutionImageFilter, InverseDeconvolutionImageFilter);
/** Dimensionality of input and output data is assumed to be the same. */
itkStaticConstMacro(ImageDimension, unsigned int,
TInputImage::ImageDimension);
typedef TInputImage InputImageType;
typedef TOutputImage OutputImageType;
typedef TKernelImage KernelImageType;
typedef typename Superclass::InputPixelType InputPixelType;
typedef typename Superclass::OutputPixelType OutputPixelType;
typedef typename Superclass::KernelPixelType KernelPixelType;
typedef typename Superclass::InputIndexType InputIndexType;
typedef typename Superclass::OutputIndexType OutputIndexType;
typedef typename Superclass::KernelIndexType KernelIndexType;
typedef typename Superclass::InputSizeType InputSizeType;
typedef typename Superclass::OutputSizeType OutputSizeType;
typedef typename Superclass::KernelSizeType KernelSizeType;
typedef typename Superclass::SizeValueType SizeValueType;
typedef typename Superclass::InputRegionType InputRegionType;
typedef typename Superclass::OutputRegionType OutputRegionType;
typedef typename Superclass::KernelRegionType KernelRegionType;
/** Internal image types. */
typedef typename Superclass::InternalImageType InternalImageType;
typedef typename Superclass::InternalImagePointerType InternalImagePointerType;
typedef typename Superclass::InternalComplexType InternalComplexType;
typedef typename Superclass::InternalComplexImageType InternalComplexImageType;
typedef typename Superclass::InternalComplexImagePointerType InternalComplexImagePointerType;
/** The regularization factor. Larger values reduce the dominance of
* noise in the solution, but results in higher approximation error
* in the deblurred image. Default value is 0.0, yielding the same
* results as the InverseDeconvolutionImageFilter. */
itkSetMacro(RegularizationConstant, double);
itkGetConstMacro(RegularizationConstant, double);
protected:
TikhonovDeconvolutionImageFilter();
~TikhonovDeconvolutionImageFilter() ITK_OVERRIDE {}
/** This filter uses a minipipeline to compute the output. */
void GenerateData() ITK_OVERRIDE;
virtual void PrintSelf(std::ostream & os, Indent indent) const ITK_OVERRIDE;
private:
ITK_DISALLOW_COPY_AND_ASSIGN(TikhonovDeconvolutionImageFilter);
double m_RegularizationConstant;
};
namespace Functor
{
template< typename TInput1, typename TInput2, typename TOutput >
class ITK_TEMPLATE_EXPORT TikhonovDeconvolutionFunctor
{
public:
TikhonovDeconvolutionFunctor() {m_RegularizationConstant = 0.0;}
~TikhonovDeconvolutionFunctor() {}
bool operator!=( const TikhonovDeconvolutionFunctor & ) const
{
return false;
}
bool operator==( const TikhonovDeconvolutionFunctor & other) const
{
return !(*this != other);
}
inline TOutput operator()(const TInput1 & I, const TInput2 & H) const
{
typename TOutput::value_type normH = std::norm( H );
typename TOutput::value_type denominator = normH + m_RegularizationConstant;
TOutput value = NumericTraits< TOutput >::ZeroValue();
if ( denominator >= m_KernelZeroMagnitudeThreshold )
{
value = static_cast< TOutput >( I * ( std::conj( H ) / denominator ) );
}
return value;
}
/** Set/get the regular constant. This needs to be a non-negative
* real value. */
void SetRegularizationConstant(double constant)
{
m_RegularizationConstant = constant;
}
double GetRegularizationConstant() const
{
return m_RegularizationConstant;
}
/** Set/get the threshold value below which complex magnitudes are considered
* to be zero. */
void SetKernelZeroMagnitudeThreshold(double mu)
{
m_KernelZeroMagnitudeThreshold = mu;
}
double GetKernelZeroMagnitudeThreshold() const
{
return m_KernelZeroMagnitudeThreshold;
}
private:
double m_RegularizationConstant;
double m_KernelZeroMagnitudeThreshold;
};
} //namespace Functor
}
#ifndef ITK_MANUAL_INSTANTIATION
#include "itkTikhonovDeconvolutionImageFilter.hxx"
#endif
#endif
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