#include <itkTikhonovDeconvolutionImageFilter.h>

Inheritance diagram for itk::TikhonovDeconvolutionImageFilter< TInputImage, TKernelImage, TOutputImage, TInternalPrecision >:

Collaboration diagram for itk::TikhonovDeconvolutionImageFilter< TInputImage, TKernelImage, TOutputImage, TInternalPrecision >:

List of all members.

Public Types
typedef SmartPointer< const Self >	ConstPointer
typedef TInputImage	InputImageType
typedef Superclass::InputIndexType	InputIndexType
typedef Superclass::InputPixelType	InputPixelType
typedef Superclass::InputRegionType	InputRegionType
typedef Superclass::InputSizeType	InputSizeType
typedef Superclass::InternalComplexImagePointerType	InternalComplexImagePointerType
typedef Superclass::InternalComplexImageType	InternalComplexImageType
typedef Superclass::InternalComplexType	InternalComplexType
typedef Superclass::InternalImagePointerType	InternalImagePointerType
typedef Superclass::InternalImageType	InternalImageType
typedef TKernelImage	KernelImageType
typedef Superclass::KernelIndexType	KernelIndexType
typedef Superclass::KernelPixelType	KernelPixelType
typedef Superclass::KernelRegionType	KernelRegionType
typedef Superclass::KernelSizeType	KernelSizeType
typedef TOutputImage	OutputImageType
typedef Superclass::OutputIndexType	OutputIndexType
typedef Superclass::OutputPixelType	OutputPixelType
typedef Superclass::OutputRegionType	OutputRegionType
typedef Superclass::OutputSizeType	OutputSizeType
typedef SmartPointer< Self >	Pointer
typedef TikhonovDeconvolutionImageFilter	Self
typedef Superclass::SizeValueType	SizeValueType
typedef InverseDeconvolutionImageFilter < TInputImage, TOutputImage >	Superclass
Public Member Functions
virtual ::itk::LightObject::Pointer	CreateAnother (void) const
virtual const char *	GetNameOfClass () const

virtual void	SetRegularizationConstant (double _arg)
virtual double	GetRegularizationConstant () const
Static Public Member Functions
static Pointer	New ()
Static Public Attributes
static const unsigned int	ImageDimension = TInputImage::ImageDimension
Protected Member Functions
void	GenerateData ()
virtual void	PrintSelf (std::ostream &os, Indent indent) const
	TikhonovDeconvolutionImageFilter ()
	~TikhonovDeconvolutionImageFilter ()
Private Member Functions
void	operator= (const Self &)
	TikhonovDeconvolutionImageFilter (const Self &)
Private Attributes
double	m_RegularizationConstant

Detailed Description

template<class TInputImage, class TKernelImage = TInputImage, class TOutputImage = TInputImage, class TInternalPrecision = double>
class itk::TikhonovDeconvolutionImageFilter< TInputImage, TKernelImage, TOutputImage, TInternalPrecision >

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

$||\hat{f} \otimes h - g||_{L_2}^2 + \mu||\hat{f}||^2$

where $\hat{f}$ is the estimate of the unblurred image, $h$ is the blurring kernel, $g$ is the blurred image, and $\mu$ is a non-negative real regularization function.

The filter applies a kernel described in the Fourier domain as $H^*(\omega) / (|H(\omega)|^2 + \mu)$ where $H(\omega)$ is the Fourier transform of $h$ . The term $\mu$ is called RegularizationConstant in this filter. If $\mu$ is set to zero, this filter is equivalent to the InverseDeconvolutionImageFilter.