#include <itkRecursiveGaussianImageFilter.h>

Inheritance diagram for itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >:

Collaboration diagram for itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >:

Detailed Description

template<typename TInputImage, typename TOutputImage = TInputImage>
class itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >

Base class for computing IIR convolution with an approximation of a Gaussian kernel.

$\frac{ 1 }{ \sigma \sqrt{ 2 \pi } } \exp{ \left( - \frac{x^2}{ 2 \sigma^2 } \right) }$

RecursiveGaussianImageFilter is the base class for recursive filters that approximate convolution with the Gaussian kernel. This class implements the recursive filtering method proposed by R.Deriche in IEEE-PAMI Vol.12, No.1, January 1990, pp 78-87, "Fast Algorithms for Low-Level Vision"

Details of the implementation are described in the technical report: R. Deriche, "Recursively Implementing The Gaussian and Its Derivatives", INRIA, 1993, ftp://ftp.inria.fr/INRIA/tech-reports/RR/RR-1893.ps.gz

Further improvements of the algorithm are described in: G. Farneback & C.-F. Westin, "On Implementation of Recursive Gaussian Filters", so far unpublished.

As compared to itk::DiscreteGaussianImageFilter, this filter tends to be faster for large kernels, and it can take the derivative of the blurred image in one step. Also, note that we have itk::RecursiveGaussianImageFilter::SetSigma(), but itk::DiscreteGaussianImageFilter::SetVariance().

See Also: DiscreteGaussianImageFilter

Wiki Examples:

Examples:: Filtering/LaplacianRecursiveGaussianImageFilter1.cxx, Filtering/ResampleVolumesToBeIsotropic.cxx, Filtering/SecondDerivativeRecursiveGaussianImageFilter.cxx, Filtering/SmoothingRecursiveGaussianImageFilter.cxx, and Filtering/SubsampleVolume.cxx.

Definition at line 62 of file itkRecursiveGaussianImageFilter.h.

Public Types
typedef SmartPointer< const Self >	ConstPointer

enum	OrderEnumType { ZeroOrder, FirstOrder, SecondOrder }

typedef TOutputImage	OutputImageType

typedef SmartPointer< Self >	Pointer

typedef Superclass::RealType	RealType

typedef Superclass::ScalarRealType	ScalarRealType

typedef RecursiveGaussianImageFilter	Self

typedef RecursiveSeparableImageFilter < TInputImage, TOutputImage >	Superclass

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

typedef TInputImage::ConstPointer	InputImageConstPointer

typedef TInputImage::Pointer	InputImagePointer

typedef TInputImage	InputImageType

typedef TInputImage::PixelType	InputPixelType

typedef TOutputImage::RegionType	OutputImageRegionType

typedef TOutputImage	OutputImageType

typedef SmartPointer< Self >	Pointer

typedef NumericTraits < InputPixelType >::RealType	RealType

typedef NumericTraits < InputPixelType > ::ScalarRealType	ScalarRealType

typedef RecursiveSeparableImageFilter	Self

typedef InPlaceImageFilter < TInputImage, TOutputImage >	Superclass

Public Types inherited from itk::InPlaceImageFilter< 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::OutputImagePointer	OutputImagePointer

typedef Superclass::OutputImageRegionType	OutputImageRegionType

typedef Superclass::OutputImageType	OutputImageType

typedef SmartPointer< Self >	Pointer

typedef InPlaceImageFilter	Self

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 bool	GetNormalizeAcrossScale () const

void	SetFirstOrder ()

virtual void	SetNormalizeAcrossScale (bool _arg)

void	SetSecondOrder ()

void	SetZeroOrder ()


virtual ScalarRealType	GetSigma () const

virtual void	SetSigma (ScalarRealType _arg)


virtual void	SetOrder (OrderEnumType _arg)

virtual OrderEnumType	GetOrder () const

Public Member Functions inherited from itk::RecursiveSeparableImageFilter< TInputImage, TOutputImage >
virtual unsigned int	GetDirection () const

const TInputImage *	GetInputImage (void)

virtual void	SetDirection (unsigned int _arg)

void	SetInputImage (const TInputImage *)

Public Member Functions inherited from itk::InPlaceImageFilter< TInputImage, TOutputImage >
virtual bool	CanRunInPlace () const

virtual void	SetInPlace (bool _arg)

virtual bool	GetInPlace () const

virtual void	InPlaceOn ()

virtual void	InPlaceOff ()

Public Member Functions inherited from itk::ImageToImageFilter< TInputImage, TOutputImage >
const InputImageType *	GetInput (void) const

const InputImageType *	GetInput (unsigned int idx) const

virtual void	PopBackInput ()

virtual void	PopFrontInput ()

virtual void	PushBackInput (const InputImageType *image)

virtual void	PushFrontInput (const InputImageType *image)

virtual void	SetInput (const InputImageType *image)

virtual void	SetInput (unsigned int, const TInputImage *image)

virtual void	SetCoordinateTolerance (double _arg)

virtual double	GetCoordinateTolerance () const

virtual void	SetDirectionTolerance (double _arg)

virtual double	GetDirectionTolerance () const

Public Member Functions inherited from itk::ImageSource< TOutputImage >
OutputImageType *	GetOutput (unsigned int idx)

virtual void	GraftNthOutput (unsigned int idx, DataObject *output)

virtual void	GraftOutput (DataObject *output)

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

OutputImageType *	GetOutput (void)

const OutputImageType *	GetOutput (void) const

virtual ProcessObject::DataObjectPointer	MakeOutput (ProcessObject::DataObjectPointerArraySizeType idx) ITK_OVERRIDE

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

virtual void	AbortGenerateDataOn ()

virtual const bool &	GetAbortGenerateData () const

NameArray	GetInputNames () const

MultiThreader *	GetMultiThreader () const

DataObjectPointerArraySizeType	GetNumberOfIndexedInputs () const

DataObjectPointerArraySizeType	GetNumberOfInputs () const

DataObjectPointerArraySizeType	GetNumberOfOutputs () const

virtual DataObjectPointerArraySizeType	GetNumberOfValidRequiredInputs () const

NameArray	GetOutputNames () const

virtual const float &	GetProgress () const

NameArray	GetRequiredInputNames () const

bool	HasInput (const DataObjectIdentifierType &key) const

bool	HasOutput (const DataObjectIdentifierType &key) const

virtual DataObjectPointer	MakeOutput (const DataObjectIdentifierType &)

virtual void	PrepareOutputs ()

virtual void	PropagateRequestedRegion (DataObject *output)

virtual void	ResetPipeline ()

virtual void	SetAbortGenerateData (bool _arg)

virtual void	Update ()

virtual void	UpdateLargestPossibleRegion ()

virtual void	UpdateOutputData (DataObject *output)

virtual void	UpdateOutputInformation ()

void	UpdateProgress (float progress)

DataObjectPointerArray	GetInputs ()

DataObjectPointerArray	GetOutputs ()

DataObjectPointerArray	GetIndexedInputs ()

DataObjectPointerArray	GetIndexedOutputs ()

DataObjectPointerArraySizeType	GetNumberOfIndexedOutputs () const

void	SetProgress (float progress)

virtual void	SetReleaseDataFlag (bool flag)

virtual bool	GetReleaseDataFlag () const

void	ReleaseDataFlagOn ()

void	ReleaseDataFlagOff ()

virtual void	SetReleaseDataBeforeUpdateFlag (bool _arg)

virtual const bool &	GetReleaseDataBeforeUpdateFlag () const

virtual void	ReleaseDataBeforeUpdateFlagOn ()

virtual void	ReleaseDataBeforeUpdateFlagOff ()

virtual void	SetNumberOfThreads (ThreadIdType _arg)

virtual const ThreadIdType &	GetNumberOfThreads () const

Public Member Functions inherited from itk::Object
unsigned long	AddObserver (const EventObject &event, Command *)

unsigned long	AddObserver (const EventObject &event, Command *) const

virtual void	DebugOff () const

virtual void	DebugOn () const

Command *	GetCommand (unsigned long tag)

bool	GetDebug () const

MetaDataDictionary &	GetMetaDataDictionary (void)

const MetaDataDictionary &	GetMetaDataDictionary (void) const

virtual ModifiedTimeType	GetMTime () const

virtual const TimeStamp &	GetTimeStamp () const

bool	HasObserver (const EventObject &event) const

void	InvokeEvent (const EventObject &)

void	InvokeEvent (const EventObject &) const

virtual void	Modified () const

virtual void	Register () const ITK_OVERRIDE

void	RemoveAllObservers ()

void	RemoveObserver (unsigned long tag)

void	SetDebug (bool debugFlag) const

void	SetMetaDataDictionary (const MetaDataDictionary &rhs)

virtual void	SetReferenceCount (int) ITK_OVERRIDE

virtual void	UnRegister () const ITK_OVERRIDE

virtual void	SetObjectName (std::string _arg)

virtual const std::string &	GetObjectName () const

Public Member Functions inherited from itk::LightObject
virtual void	Delete ()

virtual int	GetReferenceCount () const

	itkCloneMacro (Self)

void	Print (std::ostream &os, Indent indent=0) const

Static Public Member Functions
static Pointer	New ()

Static Public Member Functions inherited from itk::Object
static bool	GetGlobalWarningDisplay ()

static void	GlobalWarningDisplayOff ()

static void	GlobalWarningDisplayOn ()

static Pointer	New ()

static void	SetGlobalWarningDisplay (bool flag)

Static Public Member Functions inherited from itk::LightObject
static void	BreakOnError ()

static Pointer	New ()

Protected Member Functions
void	PrintSelf (std::ostream &os, Indent indent) const

	RecursiveGaussianImageFilter ()

virtual void	SetUp (ScalarRealType spacing)

virtual void	VerifyPreconditions ()

virtual	~RecursiveGaussianImageFilter ()

Protected Member Functions inherited from itk::RecursiveSeparableImageFilter< TInputImage, TOutputImage >
void	BeforeThreadedGenerateData ()

void	EnlargeOutputRequestedRegion (DataObject *output)

void	FilterDataArray (RealType outs, const RealType data, RealType *scratch, unsigned int ln)

virtual const ImageRegionSplitterBase *	GetImageRegionSplitter (void) const

	RecursiveSeparableImageFilter ()

void	ThreadedGenerateData (const OutputImageRegionType &outputRegionForThread, ThreadIdType threadId)

virtual	~RecursiveSeparableImageFilter ()

Protected Member Functions inherited from itk::InPlaceImageFilter< TInputImage, TOutputImage >
virtual void	AllocateOutputs ()

virtual bool	GetRunningInPlace () const

	InPlaceImageFilter ()

virtual void	ReleaseInputs ()

	~InPlaceImageFilter ()

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)

virtual void	GenerateInputRequestedRegion ()

	ImageToImageFilter ()

virtual void	VerifyInputInformation ()

	~ImageToImageFilter ()

void	PushBackInput (const DataObject *input)

void	PushFrontInput (const DataObject *input)

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

virtual void	GenerateData () ITK_OVERRIDE

	ImageSource ()

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

virtual	~ImageSource ()

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

virtual void	AddOutput (DataObject *output)

virtual void	CacheInputReleaseDataFlags ()

virtual void	GenerateOutputInformation ()

virtual void	GenerateOutputRequestedRegion (DataObject *output)

virtual const DataObjectPointerArraySizeType &	GetNumberOfRequiredOutputs () const

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	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)

	~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 () const

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	ComputeDCoefficients (ScalarRealType sigmad, ScalarRealType W1, ScalarRealType L1, ScalarRealType W2, ScalarRealType L2, ScalarRealType &SD, ScalarRealType &DD, ScalarRealType &ED)

void	ComputeNCoefficients (ScalarRealType sigmad, ScalarRealType A1, ScalarRealType B1, ScalarRealType W1, ScalarRealType L1, ScalarRealType A2, ScalarRealType B2, ScalarRealType W2, ScalarRealType L2, ScalarRealType &N0, ScalarRealType &N1, ScalarRealType &N2, ScalarRealType &N3, ScalarRealType &SN, ScalarRealType &DN, ScalarRealType &EN)

void	ComputeRemainingCoefficients (bool symmetric)

void	operator= (const Self &)

	RecursiveGaussianImageFilter (const Self &)

Private Attributes
bool	m_NormalizeAcrossScale

OrderEnumType	m_Order

ScalarRealType	m_Sigma

Additional Inherited Members
Static Public Attributes inherited from itk::InPlaceImageFilter< TInputImage, TOutputImage >
static const unsigned int	InputImageDimension = TInputImage::ImageDimension

static const unsigned int	OutputImageDimension = TOutputImage::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 Types inherited from itk::ImageToImageFilter< TInputImage, TOutputImage >
typedef ImageToImageFilterDetail::ImageRegionCopier < itkGetStaticConstMacro(OutputImageDimension), itkGetStaticConstMacro(InputImageDimension) >	InputToOutputRegionCopierType

typedef ImageToImageFilterDetail::ImageRegionCopier < itkGetStaticConstMacro(InputImageDimension), itkGetStaticConstMacro(OutputImageDimension) >	OutputToInputRegionCopierType

Protected Types inherited from itk::LightObject
typedef int	InternalReferenceCountType

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::RecursiveSeparableImageFilter< TInputImage, TOutputImage >
ScalarRealType	m_BM1

ScalarRealType	m_BM2

ScalarRealType	m_BM3

ScalarRealType	m_BM4

ScalarRealType	m_BN1

ScalarRealType	m_BN2

ScalarRealType	m_BN3

ScalarRealType	m_BN4

ScalarRealType	m_D1

ScalarRealType	m_D2

ScalarRealType	m_D3

ScalarRealType	m_D4

ScalarRealType	m_M1

ScalarRealType	m_M2

ScalarRealType	m_M3

ScalarRealType	m_M4

ScalarRealType	m_N0

ScalarRealType	m_N1

ScalarRealType	m_N2

ScalarRealType	m_N3

Protected Attributes inherited from itk::ProcessObject
TimeStamp	m_OutputInformationMTime

bool	m_Updating

Protected Attributes inherited from itk::LightObject
InternalReferenceCountType	m_ReferenceCount

SimpleFastMutexLock	m_ReferenceCountLock

Member Typedef Documentation

template<typename TInputImage , typename TOutputImage = TInputImage>

typedef SmartPointer< const Self > itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::ConstPointer

Definition at line 70 of file itkRecursiveGaussianImageFilter.h.

template<typename TInputImage , typename TOutputImage = TInputImage>

typedef TOutputImage itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::OutputImageType

Type of the output image

Definition at line 95 of file itkRecursiveGaussianImageFilter.h.

template<typename TInputImage , typename TOutputImage = TInputImage>

typedef SmartPointer< Self > itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::Pointer

Definition at line 69 of file itkRecursiveGaussianImageFilter.h.

template<typename TInputImage , typename TOutputImage = TInputImage>

typedef Superclass::RealType itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::RealType

Definition at line 72 of file itkRecursiveGaussianImageFilter.h.

template<typename TInputImage , typename TOutputImage = TInputImage>

typedef Superclass::ScalarRealType itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::ScalarRealType

Definition at line 73 of file itkRecursiveGaussianImageFilter.h.

template<typename TInputImage , typename TOutputImage = TInputImage>

typedef RecursiveGaussianImageFilter itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::Self

Standard class typedefs.

Definition at line 67 of file itkRecursiveGaussianImageFilter.h.

template<typename TInputImage , typename TOutputImage = TInputImage>

typedef RecursiveSeparableImageFilter< TInputImage, TOutputImage > itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::Superclass

Definition at line 68 of file itkRecursiveGaussianImageFilter.h.

Member Enumeration Documentation

template<typename TInputImage , typename TOutputImage = TInputImage>

enum itk::RecursiveGaussianImageFilter::OrderEnumType

Enum type that indicates if the filter applies the equivalent operation of convolving with a gaussian, first derivative of a gaussian or the second derivative of a gaussian.

Enumerator
ZeroOrder
FirstOrder
SecondOrder

Definition at line 92 of file itkRecursiveGaussianImageFilter.h.

Constructor & Destructor Documentation

template<typename TInputImage , typename TOutputImage = TInputImage>

itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::RecursiveGaussianImageFilter ( )

protected

template<typename TInputImage , typename TOutputImage = TInputImage>

virtual itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::~RecursiveGaussianImageFilter ( )

inlineprotectedvirtual

Definition at line 160 of file itkRecursiveGaussianImageFilter.h.

template<typename TInputImage , typename TOutputImage = TInputImage>

itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::RecursiveGaussianImageFilter ( const Self & )

private

Member Function Documentation

template<typename TInputImage , typename TOutputImage = TInputImage>

void itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::ComputeDCoefficients	(	ScalarRealType	sigmad,
		ScalarRealType	W1,
		ScalarRealType	L1,
		ScalarRealType	W2,
		ScalarRealType	L2,
		ScalarRealType &	SD,
		ScalarRealType &	DD,
		ScalarRealType &	ED
	)

private

Compute the D coefficients in the recursive filter.

template<typename TInputImage , typename TOutputImage = TInputImage>

void itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::ComputeNCoefficients	(	ScalarRealType	sigmad,
		ScalarRealType	A1,
		ScalarRealType	B1,
		ScalarRealType	W1,
		ScalarRealType	L1,
		ScalarRealType	A2,
		ScalarRealType	B2,
		ScalarRealType	W2,
		ScalarRealType	L2,
		ScalarRealType &	N0,
		ScalarRealType &	N1,
		ScalarRealType &	N2,
		ScalarRealType &	N3,
		ScalarRealType &	SN,
		ScalarRealType &	DN,
		ScalarRealType &	EN
	)

private

Compute the N coefficients in the recursive filter.

template<typename TInputImage , typename TOutputImage = TInputImage>

void itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::ComputeRemainingCoefficients ( bool symmetric )

private

Compute the M coefficients and the boundary coefficients in the recursive filter.

template<typename TInputImage , typename TOutputImage = TInputImage>

virtual::itk::LightObject::Pointer itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::CreateAnother ( void ) const

virtual

Create an object from an instance, potentially deferring to a factory. This method allows you to create an instance of an object that is exactly the same type as the referring object. This is useful in cases where an object has been cast back to a base class.

Reimplemented from itk::Object.

template<typename TInputImage , typename TOutputImage = TInputImage>

virtual const char* itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::GetNameOfClass ( ) const

virtual

Type macro that defines a name for this class

Reimplemented from itk::RecursiveSeparableImageFilter< TInputImage, TOutputImage >.

template<typename TInputImage , typename TOutputImage = TInputImage>

virtual bool itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::GetNormalizeAcrossScale ( ) const

virtual

template<typename TInputImage , typename TOutputImage = TInputImage>

virtual OrderEnumType itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::GetOrder ( ) const

virtual

Set/Get the Order of the Gaussian to convolve with.

ZeroOrder is equivalent to convolving with a Gaussian. This is the default.
FirstOrder is equivalent to convolving with the first derivative of a Gaussian.
SecondOrder is equivalent to convolving with the second derivative of a Gaussian.

template<typename TInputImage , typename TOutputImage = TInputImage>

virtual ScalarRealType itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::GetSigma ( ) const

virtual

Set/Get the Sigma, measured in world coordinates, of the Gaussian kernel. The default is 1.0. An exception will be generated if the Sigma value is less than or equal to zero.

template<typename TInputImage , typename TOutputImage = TInputImage>

static Pointer itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::New ( )

static

Method for creation through the object factory.

template<typename TInputImage , typename TOutputImage = TInputImage>

void itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::operator= ( const Self & )

private

template<typename TInputImage , typename TOutputImage = TInputImage>

void itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::PrintSelf	(	std::ostream &	os,
		Indent	indent
	)		const

protectedvirtual

Methods invoked by Print() to print information about the object including superclasses. Typically not called by the user (use Print() instead) but used in the hierarchical print process to combine the output of several classes.

Reimplemented from itk::RecursiveSeparableImageFilter< TInputImage, TOutputImage >.

template<typename TInputImage , typename TOutputImage = TInputImage>

void itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::SetFirstOrder ( )

Explicitly set a first order derivative.

template<typename TInputImage , typename TOutputImage = TInputImage>

virtual void itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::SetNormalizeAcrossScale ( bool _arg )

virtual

Set/Get the flag for normalizing the gaussian over scale-space.

This flag enables the analysis of the differential shape of features independent of their size ( both pixels and physical size ). Following the notation of Tony Lindeberg:

Let

$L(x; t) = g(x; t) \ast f(x)$

be the scale-space representation of image

$f(x)$

where

$g(x; t) = \frac{1}{ \sqrt{ 2 \pi t} } \exp{ \left( -\frac{x^2}{ 2 t } \right) }$

is the Gaussian function and

$\ast$

denotes convolution. This is a change from above with

$t = \sigma^2$

.

Then the normalized derivative operator for normalized coordinates across scale is:

$\partial_\xi = \sqrt{t} \partial_x$

The resulting scaling factor is

$\sigma^N$

where N is the order of the derivative.

When this flag is ON the filter will be normalized in such a way that the values of derivatives are not biased by the size of the object. That is to say the maximum value a feature reaches across scale is independent of the scale of the object.

For analyzing an image across scale-space you want to enable this flag. It is disabled by default.

Note: Not all scale space axioms are satisfied by this filter, some are only approximated. Particularly, at fine scales ( say less than 1 pixel ) other methods such as a discrete Gaussian kernel should be considered.

template<typename TInputImage , typename TOutputImage = TInputImage>

virtual void itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::SetOrder ( OrderEnumType _arg )

virtual

Set/Get the Order of the Gaussian to convolve with.

ZeroOrder is equivalent to convolving with a Gaussian. This is the default.
FirstOrder is equivalent to convolving with the first derivative of a Gaussian.
SecondOrder is equivalent to convolving with the second derivative of a Gaussian.

template<typename TInputImage , typename TOutputImage = TInputImage>

void itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::SetSecondOrder ( )

Explicitly set a second order derivative.

template<typename TInputImage , typename TOutputImage = TInputImage>

virtual void itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::SetSigma ( ScalarRealType _arg )

virtual

Set/Get the Sigma, measured in world coordinates, of the Gaussian kernel. The default is 1.0. An exception will be generated if the Sigma value is less than or equal to zero.

template<typename TInputImage , typename TOutputImage = TInputImage>

virtual void itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::SetUp ( ScalarRealType spacing )

protectedvirtual

Set up the coefficients of the filter to approximate a specific kernel. Here it is used to approximate a Gaussian or one of its derivatives. Parameter is the spacing along the dimension to filter.

Implements itk::RecursiveSeparableImageFilter< TInputImage, TOutputImage >.

template<typename TInputImage , typename TOutputImage = TInputImage>

void itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::SetZeroOrder ( )

Explicitly set a zeroth order derivative.

template<typename TInputImage , typename TOutputImage = TInputImage>

virtual void itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::VerifyPreconditions ( )

protectedvirtual

Verifies that the process object has been configured correctly, that all required inputs are set, and needed parameters are set appropriately. If not valid an exceptions will be thrown.

This method is called before UpdateOutputInformation is propagated to the inputs.

The ProcessObject's implementation verifies that the NumberOfRequiredInputs are set and not null.

Reimplemented from itk::ProcessObject.

Member Data Documentation

template<typename TInputImage , typename TOutputImage = TInputImage>

bool itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::m_NormalizeAcrossScale

private

Normalize the image across scale space

Definition at line 198 of file itkRecursiveGaussianImageFilter.h.

template<typename TInputImage , typename TOutputImage = TInputImage>

OrderEnumType itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::m_Order

private

Definition at line 200 of file itkRecursiveGaussianImageFilter.h.

template<typename TInputImage , typename TOutputImage = TInputImage>

ScalarRealType itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::m_Sigma

private

Sigma of the gaussian kernel.

Definition at line 195 of file itkRecursiveGaussianImageFilter.h.

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

itkRecursiveGaussianImageFilter.h

Detailed Description

template<typename TInputImage, typename TOutputImage = TInputImage> class itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >

Public Types

Public Member Functions

Static Public Member Functions

Protected Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Member Typedef Documentation

Member Enumeration Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<typename TInputImage, typename TOutputImage = TInputImage>
class itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >