The Wiener deconvolution image filter is designed to restore an image convolved with a blurring kernel while keeping noise enhancement to a minimum. More...

#include <sitkWienerDeconvolutionImageFilter.h>

Inheritance diagram for itk::simple::WienerDeconvolutionImageFilter:

Collaboration diagram for itk::simple::WienerDeconvolutionImageFilter:

Detailed Description

The Wiener deconvolution image filter is designed to restore an image convolved with a blurring kernel while keeping noise enhancement to a minimum.

The Wiener filter aims to minimize noise enhancement induced by frequencies with low signal-to-noise ratio. The Wiener filter kernel is defined in the frequency domain as \(W(\omega) = H^*(\omega) / (|H(\omega)|^2 + (1 / SNR(\omega)))\) where \(H(\omega)\) is the Fourier transform of the blurring kernel with which the original image was convolved and the signal-to-noise ratio \(SNR(\omega)\) . \(SNR(\omega)\) is defined by \(P_f(\omega) / P_n(\omega)\) where \(P_f(\omega)\) is the power spectral density of the uncorrupted signal and \(P_n(\omega)\) is the power spectral density of the noise. When applied to the input blurred image, this filter produces an estimate \(\hat{f}(x)\) of the true underlying signal \(f(x)\) that minimizes the expected error between \(\hat{f}(x)\) and \(f(x)\) .

This filter requires two inputs, the image to be deconvolved and the blurring kernel. These two inputs can be set using the methods SetInput() and SetKernelImage(), respectively.

The power spectral densities of the signal and noise are typically unavailable for a given problem. In particular, \(P_f(\omega)\) cannot be computed from \(f(x)\) because this unknown signal is precisely the signal that this filter aims to recover. Nevertheless, it is common for the noise to have a power spectral density that is flat or decreasing significantly more slowly than the power spectral density of a typical image as the frequency \(\omega\) increases. Hence, \(P_n(\omega)\) can typically be approximated with a constant, and this filter makes this assumption (see the NoiseVariance member variable). \(P_f(\omega)\) , on the other hand, will vary with input. This filter computes the power spectral density of the input blurred image, subtracts the power spectral density of the noise, and uses the result as the estimate of \(P_f(\omega)\) .

For further information on the Wiener deconvolution filter, please see "Digital Signal Processing" by Kenneth R. Castleman, Prentice Hall, 1995

Author: Gaetan Lehmann, Biologie du Developpement et de la Reproduction, INRA de Jouy-en-Josas, France; Chris Mullins, The University of North Carolina at Chapel Hill; Cory Quammen, The University of North Carolina at Chapel Hill

See also: itk::simple::WienerDeconvolution for the procedural interface; itk::WienerDeconvolutionImageFilter for the Doxygen on the original ITK class.

Definition at line 73 of file sitkWienerDeconvolutionImageFilter.h.

Public Types
enum	BoundaryConditionType { ZERO_PAD , ZERO_FLUX_NEUMANN_PAD , PERIODIC_PAD }

enum	OutputRegionModeType { SAME , VALID }

using	PixelIDTypeList = BasicPixelIDTypeList

using	Self = WienerDeconvolutionImageFilter

Public Types inherited from itk::simple::ImageFilter
using	Self = ImageFilter

Public Types inherited from itk::simple::ProcessObject
using	Self = ProcessObject

Public Member Functions
Image	Execute (const Image &image1, const Image &image2)

BoundaryConditionType	GetBoundaryCondition () const

std::string	GetName () const

double	GetNoiseVariance () const

bool	GetNormalize () const

OutputRegionModeType	GetOutputRegionMode () const

void	NormalizeOff ()

void	NormalizeOn ()

void	SetBoundaryCondition (BoundaryConditionType BoundaryCondition)

void	SetNoiseVariance (double NoiseVariance)

void	SetNormalize (bool Normalize)

void	SetOutputRegionMode (OutputRegionModeType OutputRegionMode)

std::string	ToString () const

	WienerDeconvolutionImageFilter ()

virtual	~WienerDeconvolutionImageFilter ()

Public Member Functions inherited from itk::simple::ImageFilter
	ImageFilter ()

virtual	~ImageFilter ()=0

Public Member Functions inherited from itk::simple::ProcessObject
virtual void	Abort ()

virtual int	AddCommand (itk::simple::EventEnum event, const std::function< void()> &func)
	Directly add a callback to observe an event.

virtual int	AddCommand (itk::simple::EventEnum event, itk::simple::Command &cmd)
	Add a Command Object to observer the event.

virtual float	GetProgress () const
	An Active Measurement of the progress of execution.

virtual bool	HasCommand (itk::simple::EventEnum event) const
	Query of this object has any registered commands for event.

	ProcessObject ()

virtual void	RemoveAllCommands ()
	Remove all registered commands.

virtual	~ProcessObject ()

virtual void	DebugOn ()

virtual void	DebugOff ()

virtual bool	GetDebug () const

virtual void	SetDebug (bool debugFlag)

virtual void	SetNumberOfThreads (unsigned int n)

virtual unsigned int	GetNumberOfThreads () const

virtual void	SetNumberOfWorkUnits (unsigned int n)

virtual unsigned int	GetNumberOfWorkUnits () const

Private Types
using	MemberFunctionType = Image (Self::*)(const Image &image1, const Image &image2)

Private Member Functions
template<class TImageType>
Image	ExecuteInternal (const Image &image1, const Image &image2)

Static Private Member Functions
static const detail::MemberFunctionFactory< MemberFunctionType > &	GetMemberFunctionFactory ()

Private Attributes
BoundaryConditionType	m_BoundaryCondition { itk::simple::WienerDeconvolutionImageFilter::ZERO_FLUX_NEUMANN_PAD }

double	m_NoiseVariance { 0.0 }

bool	m_Normalize { false }

OutputRegionModeType	m_OutputRegionMode { itk::simple::WienerDeconvolutionImageFilter::SAME }

Friends
struct	detail::MemberFunctionAddressor< MemberFunctionType >

Additional Inherited Members
Static Public Member Functions inherited from itk::simple::ProcessObject
static bool	GetGlobalDefaultDebug ()

static void	GlobalDefaultDebugOff ()

static void	GlobalDefaultDebugOn ()

static void	SetGlobalDefaultDebug (bool debugFlag)

static void	GlobalWarningDisplayOn ()

static void	GlobalWarningDisplayOff ()

static void	SetGlobalWarningDisplay (bool flag)

static bool	GetGlobalWarningDisplay ()

static double	GetGlobalDefaultCoordinateTolerance ()
	Access the global tolerance to determine congruent spaces.

static void	SetGlobalDefaultCoordinateTolerance (double)
	Access the global tolerance to determine congruent spaces.

static double	GetGlobalDefaultDirectionTolerance ()
	Access the global tolerance to determine congruent spaces.

static void	SetGlobalDefaultDirectionTolerance (double)
	Access the global tolerance to determine congruent spaces.

static bool	SetGlobalDefaultThreader (const std::string &threader)
	Set/Get the default threader used for process objects.

static std::string	GetGlobalDefaultThreader ()
	Set/Get the default threader used for process objects.

static void	SetGlobalDefaultNumberOfThreads (unsigned int n)

static unsigned int	GetGlobalDefaultNumberOfThreads ()
	Set/Get the default threader used for process objects.

Protected Member Functions inherited from itk::simple::ImageFilter
void	CheckImageMatchingDimension (const Image &image1, const Image &image2, const std::string &image2Name)

void	CheckImageMatchingPixelType (const Image &image1, const Image &image2, const std::string &image2Name)

void	CheckImageMatchingSize (const Image &image1, const Image &image2, const std::string &image2Name)

Protected Member Functions inherited from itk::simple::ProcessObject
virtual unsigned long	AddITKObserver (const itk::EventObject &, itk::Command *)

virtual itk::ProcessObject *	GetActiveProcess ()

virtual void	OnActiveProcessDelete ()

virtual void	onCommandDelete (const itk::simple::Command *cmd) noexcept

virtual void	PreUpdate (itk::ProcessObject *p)

virtual void	RemoveITKObserver (EventCommand &e)

Protected Member Functions inherited from itk::simple::NonCopyable
	NonCopyable ()=default

	NonCopyable (const NonCopyable &)=delete

NonCopyable &	operator= (const NonCopyable &)=delete

Static Protected Member Functions inherited from itk::simple::ImageFilter
template<class TImageType>
static void	FixNonZeroIndex (TImageType *img)

Static Protected Member Functions inherited from itk::simple::ProcessObject
template<class TImageType>
static TImageType::ConstPointer	CastImageToITK (const Image &img)

template<class TPixelType, unsigned int VImageDimension, unsigned int VLength, template< typename, unsigned int > class TVector>
static Image	CastITKToImage (itk::Image< TVector< TPixelType, VLength >, VImageDimension > *img)

template<unsigned int VImageDimension, unsigned int VLength, template< unsigned int > class TVector>
static Image	CastITKToImage (itk::Image< TVector< VLength >, VImageDimension > *img)

template<class TImageType>
static Image	CastITKToImage (TImageType *img)

static const itk::EventObject &	GetITKEventObject (EventEnum e)

template<typename T>
static std::ostream &	ToStringHelper (std::ostream &os, const T &v)

static std::ostream &	ToStringHelper (std::ostream &os, const char &v)

static std::ostream &	ToStringHelper (std::ostream &os, const signed char &v)

static std::ostream &	ToStringHelper (std::ostream &os, const unsigned char &v)

Member Typedef Documentation

◆ MemberFunctionType

using itk::simple::WienerDeconvolutionImageFilter::MemberFunctionType = Image (Self::*)(const Image &image1, const Image &image2)

private

Setup for member function dispatching

Definition at line 158 of file sitkWienerDeconvolutionImageFilter.h.

◆ PixelIDTypeList

using itk::simple::WienerDeconvolutionImageFilter::PixelIDTypeList = BasicPixelIDTypeList

Define the pixels types supported by this filter

Definition at line 85 of file sitkWienerDeconvolutionImageFilter.h.

◆ Self

using itk::simple::WienerDeconvolutionImageFilter::Self = WienerDeconvolutionImageFilter

Definition at line 75 of file sitkWienerDeconvolutionImageFilter.h.

Member Enumeration Documentation

◆ BoundaryConditionType

enum itk::simple::WienerDeconvolutionImageFilter::BoundaryConditionType

Enumerator
ZERO_PAD
ZERO_FLUX_NEUMANN_PAD
PERIODIC_PAD

Definition at line 120 of file sitkWienerDeconvolutionImageFilter.h.

◆ OutputRegionModeType

enum itk::simple::WienerDeconvolutionImageFilter::OutputRegionModeType

Enumerator
SAME
VALID

Definition at line 132 of file sitkWienerDeconvolutionImageFilter.h.

Constructor & Destructor Documentation

◆ ~WienerDeconvolutionImageFilter()

virtual itk::simple::WienerDeconvolutionImageFilter::~WienerDeconvolutionImageFilter ( )

virtual

Destructor

◆ WienerDeconvolutionImageFilter()

itk::simple::WienerDeconvolutionImageFilter::WienerDeconvolutionImageFilter ( )

Default Constructor that takes no arguments and initializes default parameters

Member Function Documentation

◆ Execute()

Image itk::simple::WienerDeconvolutionImageFilter::Execute	(	const Image &	image1,
		const Image &	image2 )

Execute the filter on the input images

◆ ExecuteInternal()

template<class TImageType>

Image itk::simple::WienerDeconvolutionImageFilter::ExecuteInternal	(	const Image &	image1,
		const Image &	image2 )

private

Referenced by detail::MemberFunctionAddressor< MemberFunctionType >.

◆ GetBoundaryCondition()

BoundaryConditionType itk::simple::WienerDeconvolutionImageFilter::GetBoundaryCondition ( ) const

inline

Definition at line 130 of file sitkWienerDeconvolutionImageFilter.h.

References m_BoundaryCondition.

◆ GetMemberFunctionFactory()

static const detail::MemberFunctionFactory< MemberFunctionType > & itk::simple::WienerDeconvolutionImageFilter::GetMemberFunctionFactory ( )

staticprivate

◆ GetName()

std::string itk::simple::WienerDeconvolutionImageFilter::GetName ( ) const

inlinevirtual

Name of this class

Implements itk::simple::ProcessObject.

Definition at line 146 of file sitkWienerDeconvolutionImageFilter.h.

◆ GetNoiseVariance()

double itk::simple::WienerDeconvolutionImageFilter::GetNoiseVariance ( ) const

inline

Set/get the variance of the zero-mean Gaussian white noise assumed to be added to the input.

Definition at line 100 of file sitkWienerDeconvolutionImageFilter.h.

References m_NoiseVariance.

◆ GetNormalize()

bool itk::simple::WienerDeconvolutionImageFilter::GetNormalize ( ) const

inline

Definition at line 118 of file sitkWienerDeconvolutionImageFilter.h.

References m_Normalize.

◆ GetOutputRegionMode()

OutputRegionModeType itk::simple::WienerDeconvolutionImageFilter::GetOutputRegionMode ( ) const

inline

Definition at line 142 of file sitkWienerDeconvolutionImageFilter.h.

References m_OutputRegionMode.

◆ NormalizeOff()

void itk::simple::WienerDeconvolutionImageFilter::NormalizeOff ( )

inline

Definition at line 114 of file sitkWienerDeconvolutionImageFilter.h.

References SetNormalize().

◆ NormalizeOn()

void itk::simple::WienerDeconvolutionImageFilter::NormalizeOn ( )

inline

Set the value of Normalize to true or false respectfully.

Definition at line 112 of file sitkWienerDeconvolutionImageFilter.h.

References SetNormalize().

◆ SetBoundaryCondition()

void itk::simple::WienerDeconvolutionImageFilter::SetBoundaryCondition ( BoundaryConditionType BoundaryCondition )

inline

Definition at line 125 of file sitkWienerDeconvolutionImageFilter.h.

References m_BoundaryCondition.

◆ SetNoiseVariance()

void itk::simple::WienerDeconvolutionImageFilter::SetNoiseVariance ( double NoiseVariance )

inline

Set/get the variance of the zero-mean Gaussian white noise assumed to be added to the input.

Definition at line 94 of file sitkWienerDeconvolutionImageFilter.h.

References m_NoiseVariance.

◆ SetNormalize()

void itk::simple::WienerDeconvolutionImageFilter::SetNormalize ( bool Normalize )

inline

Normalize the output image by the sum of the kernel components

Definition at line 107 of file sitkWienerDeconvolutionImageFilter.h.

References m_Normalize, and itk::simple::Normalize().

Referenced by NormalizeOff(), and NormalizeOn().

◆ SetOutputRegionMode()

void itk::simple::WienerDeconvolutionImageFilter::SetOutputRegionMode ( OutputRegionModeType OutputRegionMode )

inline

Definition at line 137 of file sitkWienerDeconvolutionImageFilter.h.

References m_OutputRegionMode.

◆ ToString()

std::string itk::simple::WienerDeconvolutionImageFilter::ToString ( ) const

virtual

Print ourselves out

Reimplemented from itk::simple::ProcessObject.

Friends And Related Symbol Documentation

◆ detail::MemberFunctionAddressor< MemberFunctionType >

friend struct detail::MemberFunctionAddressor< MemberFunctionType >

friend

Definition at line 159 of file sitkWienerDeconvolutionImageFilter.h.

References ExecuteInternal().

Member Data Documentation

◆ m_BoundaryCondition

BoundaryConditionType itk::simple::WienerDeconvolutionImageFilter::m_BoundaryCondition { itk::simple::WienerDeconvolutionImageFilter::ZERO_FLUX_NEUMANN_PAD }

private

Definition at line 168 of file sitkWienerDeconvolutionImageFilter.h.

Referenced by GetBoundaryCondition(), and SetBoundaryCondition().

◆ m_NoiseVariance

double itk::simple::WienerDeconvolutionImageFilter::m_NoiseVariance { 0.0 }

private

Definition at line 164 of file sitkWienerDeconvolutionImageFilter.h.

Referenced by GetNoiseVariance(), and SetNoiseVariance().

◆ m_Normalize

bool itk::simple::WienerDeconvolutionImageFilter::m_Normalize { false }

private

Definition at line 166 of file sitkWienerDeconvolutionImageFilter.h.

Referenced by GetNormalize(), and SetNormalize().

◆ m_OutputRegionMode

OutputRegionModeType itk::simple::WienerDeconvolutionImageFilter::m_OutputRegionMode { itk::simple::WienerDeconvolutionImageFilter::SAME }

private

Definition at line 170 of file sitkWienerDeconvolutionImageFilter.h.

Referenced by GetOutputRegionMode(), and SetOutputRegionMode().

The documentation for this class was generated from the following file:

sitkWienerDeconvolutionImageFilter.h

Detailed Description

Public Types

Public Member Functions

Private Types

Private Member Functions

Static Private Member Functions

Private Attributes

Friends

Additional Inherited Members

Member Typedef Documentation

◆ MemberFunctionType

◆ PixelIDTypeList

◆ Self

Member Enumeration Documentation

◆ BoundaryConditionType

◆ OutputRegionModeType

Constructor & Destructor Documentation

◆ ~WienerDeconvolutionImageFilter()

◆ WienerDeconvolutionImageFilter()

Member Function Documentation

◆ Execute()

◆ ExecuteInternal()

◆ GetBoundaryCondition()

◆ GetMemberFunctionFactory()

◆ GetName()

◆ GetNoiseVariance()

◆ GetNormalize()

◆ GetOutputRegionMode()

◆ NormalizeOff()

◆ NormalizeOn()

◆ SetBoundaryCondition()

◆ SetNoiseVariance()

◆ SetNormalize()

◆ SetOutputRegionMode()

◆ ToString()

Friends And Related Symbol Documentation

◆ detail::MemberFunctionAddressor< MemberFunctionType >

Member Data Documentation

◆ m_BoundaryCondition

◆ m_NoiseVariance

◆ m_Normalize

◆ m_OutputRegionMode