#include <itkWienerDeconvolutionImageFilter.h>

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

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

Detailed Description

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

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

Definition at line 75 of file itkWienerDeconvolutionImageFilter.h.

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 WienerDeconvolutionImageFilter	Self

typedef Superclass::SizeValueType	SizeValueType

typedef InverseDeconvolutionImageFilter < TInputImage, TKernelImage, TOutputImage, TInternalPrecision >	Superclass

Public Types inherited from itk::InverseDeconvolutionImageFilter< TInputImage, TKernelImage, TOutputImage, TInternalPrecision >
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 InverseDeconvolutionImageFilter	Self

typedef Superclass::SizeValueType	SizeValueType

typedef FFTConvolutionImageFilter < TInputImage, TKernelImage, TOutputImage, TInternalPrecision >	Superclass

Public Types inherited from itk::FFTConvolutionImageFilter< TInputImage, TKernelImage, TOutputImage, TInternalPrecision >
typedef Superclass::BoundaryConditionPointerType	BoundaryConditionPointerType

typedef Superclass::BoundaryConditionType	BoundaryConditionType

typedef SmartPointer< const Self >	ConstPointer

typedef TInputImage	InputImageType

typedef InputImageType::IndexType	InputIndexType

typedef InputImageType::PixelType	InputPixelType

typedef InputImageType::RegionType	InputRegionType

typedef InputImageType::SizeType	InputSizeType

typedef InternalComplexImageType::Pointer	InternalComplexImagePointerType

typedef Image < InternalComplexType, TInputImage::ImageDimension >	InternalComplexImageType

typedef std::complex < TInternalPrecision >	InternalComplexType

typedef InternalImageType::Pointer	InternalImagePointerType

typedef Image < TInternalPrecision, TInputImage::ImageDimension >	InternalImageType

typedef TKernelImage	KernelImageType

typedef KernelImageType::IndexType	KernelIndexType

typedef KernelImageType::PixelType	KernelPixelType

typedef KernelImageType::RegionType	KernelRegionType

typedef KernelImageType::SizeType	KernelSizeType

typedef TOutputImage	OutputImageType

typedef OutputImageType::IndexType	OutputIndexType

typedef OutputImageType::PixelType	OutputPixelType

typedef OutputImageType::RegionType	OutputRegionType

typedef OutputImageType::SizeType	OutputSizeType

typedef SmartPointer< Self >	Pointer

typedef FFTConvolutionImageFilter	Self

typedef InputSizeType::SizeValueType	SizeValueType

typedef ConvolutionImageFilterBase < TInputImage, TKernelImage, TOutputImage >	Superclass

Public Types inherited from itk::ConvolutionImageFilterBase< TInputImage, TKernelImage, TOutputImage >
typedef BoundaryConditionType *	BoundaryConditionPointerType

typedef ImageBoundaryCondition < TInputImage >	BoundaryConditionType

typedef SmartPointer< const Self >	ConstPointer

typedef ZeroFluxNeumannBoundaryCondition < TInputImage >	DefaultBoundaryConditionType

typedef TInputImage	InputImageType

typedef InputImageType::IndexType	InputIndexType

typedef InputImageType::PixelType	InputPixelType

typedef InputImageType::RegionType	InputRegionType

typedef InputImageType::SizeType	InputSizeType

typedef TKernelImage	KernelImageType

typedef KernelImageType::IndexType	KernelIndexType

typedef KernelImageType::PixelType	KernelPixelType

typedef KernelImageType::RegionType	KernelRegionType

typedef KernelImageType::SizeType	KernelSizeType

typedef TOutputImage	OutputImageType

typedef OutputImageType::IndexType	OutputIndexType

typedef OutputImageType::PixelType	OutputPixelType

enum	OutputRegionModeType { SAME = 0, VALID }

typedef OutputImageType::RegionType	OutputRegionType

typedef OutputImageType::SizeType	OutputSizeType

typedef SmartPointer< Self >	Pointer

typedef ConvolutionImageFilterBase	Self

typedef InputSizeType::SizeValueType	SizeValueType

typedef ImageToImageFilter < TInputImage, TOutputImage >	Superclass

Public Types inherited from itk::ImageToImageFilter< TInputImage, TOutputImage >
typedef SmartPointer< const Self >	ConstPointer

typedef InputImageType::ConstPointer	InputImageConstPointer

typedef InputImageType::PixelType	InputImagePixelType

typedef InputImageType::Pointer	InputImagePointer

typedef InputImageType::RegionType	InputImageRegionType

typedef TInputImage	InputImageType

typedef Superclass::OutputImagePixelType	OutputImagePixelType

typedef Superclass::OutputImageRegionType	OutputImageRegionType

typedef SmartPointer< Self >	Pointer

typedef ImageToImageFilter	Self

typedef ImageSource< TOutputImage >	Superclass

Public Types inherited from itk::ImageSource< TOutputImage >
typedef SmartPointer< const Self >	ConstPointer

typedef Superclass::DataObjectIdentifierType	DataObjectIdentifierType

typedef DataObject::Pointer	DataObjectPointer

typedef Superclass::DataObjectPointerArraySizeType	DataObjectPointerArraySizeType

typedef OutputImageType::PixelType	OutputImagePixelType

typedef OutputImageType::Pointer	OutputImagePointer

typedef OutputImageType::RegionType	OutputImageRegionType

typedef TOutputImage	OutputImageType

typedef SmartPointer< Self >	Pointer

typedef ImageSource	Self

typedef ProcessObject	Superclass

Public Types inherited from itk::ProcessObject
typedef SmartPointer< const Self >	ConstPointer

typedef DataObject::DataObjectIdentifierType	DataObjectIdentifierType

typedef DataObject::Pointer	DataObjectPointer

typedef std::vector < DataObjectPointer >	DataObjectPointerArray

typedef DataObjectPointerArray::size_type	DataObjectPointerArraySizeType

typedef std::vector < DataObjectIdentifierType >	NameArray

typedef SmartPointer< Self >	Pointer

typedef ProcessObject	Self

typedef Object	Superclass

Public Types inherited from itk::Object
typedef SmartPointer< const Self >	ConstPointer

typedef SmartPointer< Self >	Pointer

typedef Object	Self

typedef LightObject	Superclass

Public Types inherited from itk::LightObject
typedef SmartPointer< const Self >	ConstPointer

typedef SmartPointer< Self >	Pointer

typedef LightObject	Self

Public Member Functions
virtual ::itk::LightObject::Pointer	CreateAnother (void) const

virtual const char *	GetNameOfClass () const


virtual void	SetNoiseVariance (double _arg)

virtual double	GetNoiseVariance () const

Public Member Functions inherited from itk::InverseDeconvolutionImageFilter< TInputImage, TKernelImage, TOutputImage, TInternalPrecision >
virtual void	SetKernelZeroMagnitudeThreshold (double _arg)

virtual double	GetKernelZeroMagnitudeThreshold () const

Static Public Member Functions
static Pointer	New ()

Static Public Member Functions inherited from itk::InverseDeconvolutionImageFilter< TInputImage, TKernelImage, TOutputImage, TInternalPrecision >
static Pointer	New ()

Static Public Member Functions inherited from itk::FFTConvolutionImageFilter< TInputImage, TKernelImage, TOutputImage, TInternalPrecision >
static Pointer	New ()

Static Public Attributes
static const unsigned int	ImageDimension = TInputImage::ImageDimension

Static Public Attributes inherited from itk::InverseDeconvolutionImageFilter< TInputImage, TKernelImage, TOutputImage, TInternalPrecision >
static const unsigned int	ImageDimension = TInputImage::ImageDimension

Static Public Attributes inherited from itk::FFTConvolutionImageFilter< TInputImage, TKernelImage, TOutputImage, TInternalPrecision >
static const unsigned int	ImageDimension = TInputImage::ImageDimension

Static Public Attributes inherited from itk::ConvolutionImageFilterBase< TInputImage, TKernelImage, TOutputImage >
static const unsigned int	ImageDimension = TInputImage::ImageDimension

Static Public Attributes inherited from itk::ImageToImageFilter< TInputImage, TOutputImage >
static const unsigned int	InputImageDimension = TInputImage::ImageDimension

static const unsigned int	OutputImageDimension = TOutputImage::ImageDimension

Static Public Attributes inherited from itk::ImageSource< TOutputImage >
static const unsigned int	OutputImageDimension = TOutputImage::ImageDimension

Protected Member Functions
void	GenerateData ()

virtual void	PrintSelf (std::ostream &os, Indent indent) const

	WienerDeconvolutionImageFilter ()

	~WienerDeconvolutionImageFilter ()

Protected Member Functions inherited from itk::InverseDeconvolutionImageFilter< TInputImage, TKernelImage, TOutputImage, TInternalPrecision >
	InverseDeconvolutionImageFilter ()

	~InverseDeconvolutionImageFilter ()

Protected Member Functions inherited from itk::FFTConvolutionImageFilter< TInputImage, TKernelImage, TOutputImage, TInternalPrecision >
void	CropOutput (InternalImageType paddedOutput, ProgressAccumulator progress, float progressWeight)

	FFTConvolutionImageFilter ()

void	GenerateInputRequestedRegion ()

InputSizeType	GetPadLowerBound () const

InputSizeType	GetPadSize () const

bool	GetXDimensionIsOdd () const

void	PadInput (const InputImageType input, InternalImagePointerType &paddedInput, ProgressAccumulator progress, float progressWeight)

void	PrepareInput (const InputImageType input, InternalComplexImagePointerType &preparedInput, ProgressAccumulator progress, float progressWeight)

void	PrepareInputs (const InputImageType input, const KernelImageType kernel, InternalComplexImagePointerType &preparedInput, InternalComplexImagePointerType &preparedKernel, ProgressAccumulator *progress, float progressWeight)

void	PrepareKernel (const KernelImageType kernel, InternalComplexImagePointerType &preparedKernel, ProgressAccumulator progress, float progressWeight)

void	ProduceOutput (InternalComplexImageType paddedOutput, ProgressAccumulator progress, float progressWeight)

void	TransformPaddedInput (const InternalImageType paddedInput, InternalComplexImagePointerType &transformedInput, ProgressAccumulator progress, float progressWeight)

	~FFTConvolutionImageFilter ()

Protected Member Functions inherited from itk::ConvolutionImageFilterBase< TInputImage, TKernelImage, TOutputImage >
	ConvolutionImageFilterBase ()

void	GenerateOutputInformation ()

OutputRegionType	GetValidRegion () const

virtual void	VerifyInputInformation ()

	~ConvolutionImageFilterBase ()

Protected Member Functions inherited from itk::ImageToImageFilter< TInputImage, TOutputImage >
virtual void	CallCopyInputRegionToOutputRegion (OutputImageRegionType &destRegion, const InputImageRegionType &srcRegion)

virtual void	CallCopyOutputRegionToInputRegion (InputImageRegionType &destRegion, const OutputImageRegionType &srcRegion)

	ImageToImageFilter ()

	~ImageToImageFilter ()

void	PushBackInput (const DataObject *input)

void	PushFrontInput (const DataObject *input)

Protected Member Functions inherited from itk::ImageSource< TOutputImage >
virtual void	AfterThreadedGenerateData ()

virtual void	AllocateOutputs ()

virtual void	BeforeThreadedGenerateData ()

virtual const ImageRegionSplitterBase *	GetImageRegionSplitter (void) const

	ImageSource ()

virtual unsigned int	SplitRequestedRegion (unsigned int i, unsigned int num, OutputImageRegionType &splitRegion)

virtual void	ThreadedGenerateData (const OutputImageRegionType &outputRegionForThread, ThreadIdType threadId)

virtual	~ImageSource ()

Protected Member Functions inherited from itk::ProcessObject
virtual void	AddInput (DataObject *input)

virtual void	AddOutput (DataObject *output)

virtual void	CacheInputReleaseDataFlags ()

virtual void	GenerateOutputRequestedRegion (DataObject *output)

virtual const DataObjectPointerArraySizeType &	GetNumberOfRequiredOutputs ()

bool	IsIndexedInputName (const DataObjectIdentifierType &) const

bool	IsIndexedOutputName (const DataObjectIdentifierType &) const

	itkLegacyMacro (virtual void RemoveOutput(DataObject *output))

	itkLegacyMacro (void SetNumberOfOutputs(DataObjectPointerArraySizeType num))

	itkLegacyMacro (virtual void RemoveInput(DataObject *input))

	itkLegacyMacro (void SetNumberOfInputs(DataObjectPointerArraySizeType num))

DataObjectPointerArraySizeType	MakeIndexFromInputName (const DataObjectIdentifierType &name) const

DataObjectPointerArraySizeType	MakeIndexFromOutputName (const DataObjectIdentifierType &name) const

DataObjectIdentifierType	MakeNameFromInputIndex (DataObjectPointerArraySizeType idx) const

DataObjectIdentifierType	MakeNameFromOutputIndex (DataObjectPointerArraySizeType idx) const

	ProcessObject ()

virtual void	PropagateResetPipeline ()

virtual void	ReleaseInputs ()

virtual void	RemoveInput (const DataObjectIdentifierType &key)

virtual void	RemoveInput (DataObjectPointerArraySizeType)

virtual void	RemoveOutput (const DataObjectIdentifierType &key)

virtual void	RemoveOutput (DataObjectPointerArraySizeType idx)

virtual void	RestoreInputReleaseDataFlags ()

virtual void	SetInput (const DataObjectIdentifierType &key, DataObject *input)

virtual void	SetNthInput (DataObjectPointerArraySizeType num, DataObject *input)

virtual void	SetNthOutput (DataObjectPointerArraySizeType num, DataObject *output)

void	SetNumberOfIndexedInputs (DataObjectPointerArraySizeType num)

void	SetNumberOfIndexedOutputs (DataObjectPointerArraySizeType num)

virtual void	SetNumberOfRequiredOutputs (DataObjectPointerArraySizeType _arg)

virtual void	SetOutput (const DataObjectIdentifierType &key, DataObject *output)

virtual void	SetPrimaryInput (DataObject *input)

virtual void	SetPrimaryOutput (DataObject *output)

virtual void	VerifyPreconditions ()

	~ProcessObject ()

DataObject *	GetInput (const DataObjectIdentifierType &key)

const DataObject *	GetInput (const DataObjectIdentifierType &key) const

DataObject *	GetInput (DataObjectPointerArraySizeType idx)

const DataObject *	GetInput (DataObjectPointerArraySizeType idx) const

DataObject *	GetPrimaryInput ()

const DataObject *	GetPrimaryInput () const

virtual void	SetPrimaryInputName (const DataObjectIdentifierType &key)

virtual const char *	GetPrimaryInputName (void) const

virtual void	SetNumberOfRequiredInputs (DataObjectPointerArraySizeType)

virtual const DataObjectPointerArraySizeType &	GetNumberOfRequiredInputs ()

bool	AddRequiredInputName (const DataObjectIdentifierType &)

bool	AddRequiredInputName (const DataObjectIdentifierType &, DataObjectPointerArraySizeType idx)

bool	RemoveRequiredInputName (const DataObjectIdentifierType &)

bool	IsRequiredInputName (const DataObjectIdentifierType &) const

void	SetRequiredInputNames (const NameArray &)

DataObject *	GetOutput (const DataObjectIdentifierType &key)

const DataObject *	GetOutput (const DataObjectIdentifierType &key) const

virtual void	SetPrimaryOutputName (const DataObjectIdentifierType &key)

virtual const char *	GetPrimaryOutputName (void) const

DataObject *	GetOutput (DataObjectPointerArraySizeType idx)

const DataObject *	GetOutput (DataObjectPointerArraySizeType idx) const

DataObject *	GetPrimaryOutput ()

const DataObject *	GetPrimaryOutput () const

Protected Member Functions inherited from itk::Object
	Object ()

bool	PrintObservers (std::ostream &os, Indent indent) const

virtual void	SetTimeStamp (const TimeStamp &time)

virtual	~Object ()

Protected Member Functions inherited from itk::LightObject
virtual LightObject::Pointer	InternalClone () const

	LightObject ()

virtual void	PrintHeader (std::ostream &os, Indent indent) const

virtual void	PrintTrailer (std::ostream &os, Indent indent) const

virtual	~LightObject ()

Private Member Functions
void	operator= (const Self &)

	WienerDeconvolutionImageFilter (const Self &)

Private Attributes
double	m_NoiseVariance

Additional Inherited Members
Protected Types inherited from itk::FFTConvolutionImageFilter< TInputImage, TKernelImage, TOutputImage, TInternalPrecision >
typedef RealToHalfHermitianForwardFFTImageFilter < InternalImageType, InternalComplexImageType >	FFTFilterType

typedef HalfHermitianToRealInverseFFTImageFilter < InternalComplexImageType, InternalImageType >	IFFTFilterType

Static Protected Member Functions inherited from itk::ImageSource< TOutputImage >
static const ImageRegionSplitterBase *	GetGlobalDefaultSplitter ()

static ITK_THREAD_RETURN_TYPE	ThreaderCallback (void *arg)

Protected Attributes inherited from itk::ProcessObject
TimeStamp	m_OutputInformationMTime

bool	m_Updating