#include <itkCurvatureRegistrationFilter.h>

Inheritance diagram for itk::CurvatureRegistrationFilter< TFixedImage, TMovingImage, TDisplacementField, TImageForceFunction >:

Collaboration diagram for itk::CurvatureRegistrationFilter< TFixedImage, TMovingImage, TDisplacementField, TImageForceFunction >:

Detailed Description

template<class TFixedImage, class TMovingImage, class TDisplacementField, class TImageForceFunction = MeanSquareRegistrationFunction< TFixedImage, TMovingImage, TDisplacementField >>
class itk::CurvatureRegistrationFilter< TFixedImage, TMovingImage, TDisplacementField, TImageForceFunction >

Deformably register two images using the fast curvature algorithm.

CurvatureRegistrationFilter implements the fast (i.e., O(n log n) ) registration method described in B. Fischer and J. Modersitzki, "A unified approach to fast image registration and a new curvature based registration technique," Linear Algebra and its Applications, vol. 380, pp. 107-124, 2004.

A deformation field is represented as a image whose pixel type is some vector type with at least N elements, where N is the dimension of the fixed image. The vector type must support element access via operator []. It is assumed that the vector elements behave like floating point scalars.

This class is templated over the fixed image type, moving image type, the deformation field type, and the images forces function. Fundamentally, any image force function in the PDE framework should work (e.g., mean squares, demons, correlation, mutual information, etc.).

The input fixed and moving images are set via methods SetFixedImage and SetMovingImage respectively. An initial deformation field maybe set via SetInitialDisplacementField or SetInput. If no initial field is set, a zero field is used as the initial condition.

The output deformation field can be obtained via methods GetOutput or GetDisplacementField.

This class makes use of the finite difference solver hierarchy. Update for each iteration is computed in the function class defined by the template parameter TImageForceFunction.

The algorithm has three parameters: the number of iteration to be performed, the time step, and the weight of the curvature regularization term in the overall cost function.

Warning: The algorithm parameters (time step and constraint weight) as given by F&M (dt=100; alpha=0.01) do not seem to work with this implementation. In fact, they seem to be off by orders of magnitude. This may be an effect of different normalization of the image forces, or this implementation may be incorrect. Be aware.; This filter assumes that the fixed image type, moving image type and deformation field type all have the same number of dimensions.; There is something sketchy going on with the DCT (see FFTW documentation) regarding numerical stability of the "ordinary" DCT. Also, F&M are slightly ambiguous in their use of the DCT operator. So it is quite possible that the implementation of their algorithm is not quite correct. Ultimately, they are saying that the curvature smoother is equivalent to a special low-pass filter that is applied to the DCT coefficients.

Note: This class was developed with funding from:

"CNS Deficits: Interaction of Age and Alcoholism" NIAAA AA05965, PI: A. Pfefferbaum

"INIA: Imaging Core" NIAAA AA13521, PI: A. Pfefferbaum

See Also: CurvatureRegistrationFunction

Author: Torsten Rohlfing, SRI International, Neuroscience Program

Definition at line 100 of file itkCurvatureRegistrationFilter.h.

Public Types
typedef SmartPointer< const Self >	ConstPointer

typedef DisplacementFieldComponentImageType::Pointer	DisplacementFieldComponentImagePointer

typedef Image< RealTypeDFT, TDisplacementField::ImageDimension >	DisplacementFieldComponentImageType

typedef DisplacementFieldPixelType::ValueType	DisplacementFieldComponentType

typedef TDisplacementField::PixelType	DisplacementFieldPixelType

typedef Superclass::DisplacementFieldPointer	DisplacementFieldPointer

typedef Superclass::DisplacementFieldType	DisplacementFieldType

typedef Superclass::FiniteDifferenceFunctionType	FiniteDifferenceFunctionType

typedef Superclass::FixedImagePointer	FixedImagePointer

typedef Superclass::FixedImageType	FixedImageType

typedef Superclass::MovingImagePointer	MovingImagePointer

typedef Superclass::MovingImageType	MovingImageType

typedef SmartPointer< Self >	Pointer

typedef double	RealTypeDFT

typedef TImageForceFunction	RegistrationFunctionType

typedef CurvatureRegistrationFilter	Self

typedef PDEDeformableRegistrationFilter < TFixedImage, TMovingImage, TDisplacementField >	Superclass

typedef Superclass::TimeStepType	TimeStepType

Public Types inherited from itk::PDEDeformableRegistrationFilter< TFixedImage, TMovingImage, TDisplacementField >
typedef SmartPointer< const Self >	ConstPointer

typedef DisplacementFieldType::Pointer	DisplacementFieldPointer

typedef TDisplacementField	DisplacementFieldType

typedef Superclass::FiniteDifferenceFunctionType	FiniteDifferenceFunctionType

typedef FixedImageType::ConstPointer	FixedImageConstPointer

typedef FixedImageType::Pointer	FixedImagePointer

typedef TFixedImage	FixedImageType

typedef MovingImageType::ConstPointer	MovingImageConstPointer

typedef MovingImageType::Pointer	MovingImagePointer

typedef TMovingImage	MovingImageType

typedef Superclass::OutputImageType	OutputImageType

typedef PDEDeformableRegistrationFunction < FixedImageType, MovingImageType, DisplacementFieldType >	PDEDeformableRegistrationFunctionType

typedef SmartPointer< Self >	Pointer

typedef PDEDeformableRegistrationFilter	Self

typedef FixedArray< double, ImageDimension >	StandardDeviationsType

typedef DenseFiniteDifferenceImageFilter < TDisplacementField, TDisplacementField >	Superclass

Public Types inherited from itk::DenseFiniteDifferenceImageFilter< TDisplacementField, TDisplacementField >
typedef SmartPointer< const Self >	ConstPointer

typedef Superclass::FiniteDifferenceFunctionType	FiniteDifferenceFunctionType

typedef Superclass::InputImageType	InputImageType

typedef Superclass::OutputImageType	OutputImageType

typedef Superclass::PixelType	PixelType

typedef SmartPointer< Self >	Pointer

typedef DenseFiniteDifferenceImageFilter	Self

typedef FiniteDifferenceImageFilter < TDisplacementField, TDisplacementField >	Superclass

typedef Superclass::TimeStepType	TimeStepType

typedef OutputImageType	UpdateBufferType

Public Types inherited from itk::FiniteDifferenceImageFilter< TDisplacementField, TDisplacementField >
typedef SmartPointer< const Self >	ConstPointer

typedef FiniteDifferenceFunction < TDisplacementField >	FiniteDifferenceFunctionType

typedef TDisplacementField	InputImageType

typedef TDisplacementField::PixelType	InputPixelType

typedef NumericTraits < InputPixelType >::ValueType	InputPixelValueType

typedef FiniteDifferenceFunctionType::NeighborhoodScalesType	NeighborhoodScalesType

typedef TDisplacementField	OutputImageType

typedef TDisplacementField::PixelType	OutputPixelType

typedef NumericTraits < OutputPixelType >::ValueType	OutputPixelValueType

typedef OutputPixelType	PixelType

typedef SmartPointer< Self >	Pointer

typedef FiniteDifferenceFunctionType::RadiusType	RadiusType

typedef FiniteDifferenceImageFilter	Self

typedef InPlaceImageFilter < TDisplacementField, TDisplacementField >	Superclass

typedef FiniteDifferenceFunctionType::TimeStepType	TimeStepType

Public Types inherited from itk::InPlaceImageFilter< TDisplacementField, TDisplacementField >
typedef SmartPointer< const Self >	ConstPointer

typedef InputImageType::ConstPointer	InputImageConstPointer

typedef InputImageType::PixelType	InputImagePixelType

typedef InputImageType::Pointer	InputImagePointer

typedef InputImageType::RegionType	InputImageRegionType

typedef TDisplacementField	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 < TDisplacementField, TDisplacementField >	Superclass

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

typedef InputImageType::ConstPointer	InputImageConstPointer

typedef InputImageType::PixelType	InputImagePixelType

typedef InputImageType::Pointer	InputImagePointer

typedef InputImageType::RegionType	InputImageRegionType

typedef TDisplacementField	InputImageType

typedef Superclass::OutputImagePixelType	OutputImagePixelType

typedef Superclass::OutputImageRegionType	OutputImageRegionType

typedef SmartPointer< Self >	Pointer

typedef ImageToImageFilter	Self

typedef ImageSource < TDisplacementField >	Superclass

Public Types inherited from itk::ImageSource< TDisplacementField >
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 TDisplacementField	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 double	GetMetric () const

virtual const char *	GetNameOfClass () const

void	SetConstraintWeight (const float w)

void	SetTimeStep (const TimeStepType ts)

Public Member Functions inherited from itk::PDEDeformableRegistrationFilter< TFixedImage, TMovingImage, TDisplacementField >
virtual ::itk::LightObject::Pointer	CreateAnother (void) const

DisplacementFieldType *	GetDisplacementField ()

const FixedImageType *	GetFixedImage (void) const

const MovingImageType *	GetMovingImage (void) const

virtual std::vector < SmartPointer< DataObject > >::size_type	GetNumberOfValidRequiredInputs () const

virtual const StandardDeviationsType &	GetStandardDeviations ()

virtual const StandardDeviationsType &	GetUpdateFieldStandardDeviations ()

void	SetFixedImage (const FixedImageType *ptr)

void	SetInitialDisplacementField (const DisplacementFieldType *ptr)

void	SetMovingImage (const MovingImageType *ptr)

virtual void	StopRegistration ()

virtual void	SetSmoothDisplacementField (bool _arg)

virtual bool	GetSmoothDisplacementField () const

virtual void	SmoothDisplacementFieldOn ()

virtual void	SmoothDisplacementFieldOff ()

virtual void	SetStandardDeviations (StandardDeviationsType _arg)

virtual void	SetStandardDeviations (double value)

virtual void	SetSmoothUpdateField (bool _arg)

virtual bool	GetSmoothUpdateField () const

virtual void	SmoothUpdateFieldOn ()

virtual void	SmoothUpdateFieldOff ()

virtual void	SetUpdateFieldStandardDeviations (StandardDeviationsType _arg)

virtual void	SetUpdateFieldStandardDeviations (double value)

virtual void	SetMaximumError (double _arg)

virtual double	GetMaximumError () const

virtual void	SetMaximumKernelWidth (unsigned int _arg)

virtual unsigned int	GetMaximumKernelWidth () const

Public Member Functions inherited from itk::DenseFiniteDifferenceImageFilter< TDisplacementField, TDisplacementField >
	typedef (Concept::MultiplyOperator< PixelType, double >) OutputTimesDoubleCheck

	typedef (Concept::AdditiveOperators< PixelType >) OutputAdditiveOperatorsCheck

	typedef (Concept::AdditiveAndAssignOperators< PixelType >) OutputAdditiveAndAssignOperatorsCheck

	typedef (Concept::Convertible< typename TDisplacementField::PixelType, PixelType >) InputConvertibleToOutputCheck

Public Member Functions inherited from itk::FiniteDifferenceImageFilter< TDisplacementField, TDisplacementField >
virtual const FiniteDifferenceFunctionType::Pointer &	GetDifferenceFunction () const

virtual const IdentifierType &	GetElapsedIterations ()

virtual bool	GetIsInitialized ()

virtual void	SetDifferenceFunction (FiniteDifferenceFunctionType *_arg)

virtual void	SetIsInitialized (bool _arg)

void	SetStateToInitialized ()

void	SetStateToUninitialized ()

virtual void	SetNumberOfIterations (IdentifierType _arg)

virtual const IdentifierType &	GetNumberOfIterations ()

virtual void	SetUseImageSpacing (bool _arg)

virtual void	UseImageSpacingOn ()

virtual void	UseImageSpacingOff ()

virtual const bool &	GetUseImageSpacing ()

virtual void	SetMaximumRMSError (double _arg)

virtual const double &	GetMaximumRMSError ()

virtual void	SetRMSChange (double _arg)

virtual const double &	GetRMSChange ()

virtual void	SetManualReinitialization (bool _arg)

virtual const bool &	GetManualReinitialization ()

virtual void	ManualReinitializationOn ()

virtual void	ManualReinitializationOff ()

Public Member Functions inherited from itk::InPlaceImageFilter< TDisplacementField, TDisplacementField >
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< TDisplacementField, TDisplacementField >
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 TDisplacementField *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< TDisplacementField >
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)

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

virtual void	AbortGenerateDataOn ()

virtual void	EnlargeOutputRequestedRegion (DataObject *)

virtual const bool &	GetAbortGenerateData ()

NameArray	GetInputNames () const

MultiThreader *	GetMultiThreader () const

DataObjectPointerArraySizeType	GetNumberOfIndexedInputs () const

DataObjectPointerArraySizeType	GetNumberOfInputs () const

DataObjectPointerArraySizeType	GetNumberOfOutputs () const

NameArray	GetOutputNames () const

virtual const float &	GetProgress ()

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	SetProgress (float _arg)

virtual void	Update ()

virtual void	UpdateLargestPossibleRegion ()

virtual void	UpdateOutputData (DataObject *output)

virtual void	UpdateOutputInformation ()

void	UpdateProgress (float amount)

DataObjectPointerArray	GetInputs ()

DataObjectPointerArray	GetOutputs ()

DataObjectPointerArray	GetIndexedInputs ()

DataObjectPointerArray	GetIndexedOutputs ()

DataObjectPointerArraySizeType	GetNumberOfIndexedOutputs () const

virtual void	SetReleaseDataFlag (bool flag)

virtual bool	GetReleaseDataFlag () const

void	ReleaseDataFlagOn ()

void	ReleaseDataFlagOff ()

virtual void	SetReleaseDataBeforeUpdateFlag (bool _arg)

virtual const bool &	GetReleaseDataBeforeUpdateFlag ()

virtual void	ReleaseDataBeforeUpdateFlagOn ()

virtual void	ReleaseDataBeforeUpdateFlagOff ()

virtual void	SetNumberOfThreads (ThreadIdType _arg)

virtual const ThreadIdType &	GetNumberOfThreads ()

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

void	RemoveAllObservers ()

void	RemoveObserver (unsigned long tag)

void	SetDebug (bool debugFlag) const

void	SetMetaDataDictionary (const MetaDataDictionary &rhs)

virtual void	SetReferenceCount (int)

virtual void	UnRegister () 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::PDEDeformableRegistrationFilter< TFixedImage, TMovingImage, TDisplacementField >
static Pointer	New ()

Static Public Attributes
static const unsigned int	DeformationVectorDimension = DisplacementFieldPixelType::Dimension

static const unsigned int	ImageDimension = FixedImageType::ImageDimension

Static Public Attributes inherited from itk::PDEDeformableRegistrationFilter< TFixedImage, TMovingImage, TDisplacementField >
static const unsigned int	ImageDimension = Superclass::ImageDimension

Static Public Attributes inherited from itk::DenseFiniteDifferenceImageFilter< TDisplacementField, TDisplacementField >
static const unsigned int	ImageDimension

Static Public Attributes inherited from itk::FiniteDifferenceImageFilter< TDisplacementField, TDisplacementField >
static const unsigned int	ImageDimension

Static Public Attributes inherited from itk::InPlaceImageFilter< TDisplacementField, TDisplacementField >
static const unsigned int	InputImageDimension

static const unsigned int	OutputImageDimension

Static Public Attributes inherited from itk::ImageToImageFilter< TDisplacementField, TDisplacementField >
static const unsigned int	InputImageDimension

static const unsigned int	OutputImageDimension

Static Public Attributes inherited from itk::ImageSource< TDisplacementField >
static const unsigned int	OutputImageDimension

Protected Member Functions
virtual void	ApplyUpdate (const TimeStepType &dt)

	CurvatureRegistrationFilter ()

virtual void	Initialize ()

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

	~CurvatureRegistrationFilter ()

Protected Member Functions inherited from itk::PDEDeformableRegistrationFilter< TFixedImage, TMovingImage, TDisplacementField >
virtual void	CopyInputToOutput ()

virtual void	GenerateInputRequestedRegion ()

virtual void	GenerateOutputInformation ()

virtual bool	Halt ()

virtual void	InitializeIteration ()

	PDEDeformableRegistrationFilter ()

virtual void	PostProcessOutput ()

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

virtual void	SmoothDisplacementField ()

virtual void	SmoothUpdateField ()

	~PDEDeformableRegistrationFilter ()

Protected Member Functions inherited from itk::DenseFiniteDifferenceImageFilter< TDisplacementField, TDisplacementField >
virtual void	AllocateUpdateBuffer ()

virtual TimeStepType	CalculateChange ()

	DenseFiniteDifferenceImageFilter ()

virtual UpdateBufferType *	GetUpdateBuffer ()

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

virtual void	ThreadedApplyUpdate (const TimeStepType &dt, const ThreadRegionType &regionToProcess, ThreadIdType threadId)

virtual TimeStepType	ThreadedCalculateChange (const ThreadRegionType &regionToProcess, ThreadIdType threadId)

	~DenseFiniteDifferenceImageFilter ()

Protected Member Functions inherited from itk::FiniteDifferenceImageFilter< TDisplacementField, TDisplacementField >
virtual void	ApplyUpdate (const TimeStepType &dt)=0

	FiniteDifferenceImageFilter ()

virtual void	GenerateData ()

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

virtual TimeStepType	ResolveTimeStep (const std::vector< TimeStepType > &timeStepList, const std::vector< bool > &valid) const

virtual void	SetElapsedIterations (IdentifierType _arg)

virtual bool	ThreadedHalt (void *)

virtual	~FiniteDifferenceImageFilter ()

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

virtual bool	GetRunningInPlace () const

	InPlaceImageFilter ()

virtual void	ReleaseInputs ()

	~InPlaceImageFilter ()

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

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

	ImageToImageFilter ()

virtual void	VerifyInputInformation ()

	~ImageToImageFilter ()

void	PushBackInput (const DataObject *input)

void	PushFrontInput (const DataObject *input)

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

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	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
	CurvatureRegistrationFilter (const Self &)

void	operator= (const Self &)

Private Attributes
float	m_ConstraintWeight

RealTypeDFT *	m_DiagonalElements [ImageDimension]

RealTypeDFT *	m_DisplacementFieldComponentImage

RealTypeDFT *	m_DisplacementFieldComponentImageDCT

unsigned int	m_FixedImageDimensions [ImageDimension]

fftw_plan	m_PlanBackwardDCT

fftw_plan	m_PlanForwardDCT

TimeStepType	m_TimeStep

Additional Inherited Members
Protected Types inherited from itk::DenseFiniteDifferenceImageFilter< TDisplacementField, TDisplacementField >
typedef UpdateBufferType::RegionType	ThreadRegionType

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

static ITK_THREAD_RETURN_TYPE	ThreaderCallback (void *arg)

Protected Attributes inherited from itk::FiniteDifferenceImageFilter< TDisplacementField, TDisplacementField >
IdentifierType	m_ElapsedIterations

bool	m_IsInitialized

bool	m_ManualReinitialization

double	m_MaximumRMSError

IdentifierType	m_NumberOfIterations

double	m_RMSChange