#include <itkVariationalSymmetricDiffeomorphicRegistrationFilter.h>

Inheritance diagram for itk::VariationalSymmetricDiffeomorphicRegistrationFilter< TFixedImage, TMovingImage, TDisplacementField >:

Collaboration diagram for itk::VariationalSymmetricDiffeomorphicRegistrationFilter< TFixedImage, TMovingImage, TDisplacementField >:

Detailed Description

template<class TFixedImage, class TMovingImage, class TDisplacementField>
class itk::VariationalSymmetricDiffeomorphicRegistrationFilter< TFixedImage, TMovingImage, TDisplacementField >

Symmetric diffeomorphic deformable registration of two images using static velocity fields.

VariationalSymmetricDiffeomorphicRegistrationFilter is derived from VariationalRegistrationFilter and aims to minimize the functional

$(1)\quad J( \phi ) = \frac{1}{2} (D[R, T\circ\phi] + D[R\circ\phi^{-1}, T]) + \alpha S[\phi] \rightarrow \min$

with $\phi(x)=exp(v(x))$ and $ v(x)$ is a static velocity field. Let $ f $ denote the force term corresponding to the similarity measure $ D$ and $ A$ denote the linear differential operator associated with the regularization term $ S $ , VariationalSymmetricDiffeomorphicRegistrationFilter implements the following iterative scheme to compute $ v$ (and $\phi$ ):

initialize (default ), $\phi_0=exp(v_0)$ and $\phi_0^{-1}=exp(-v_0)$
do
- compute the forward update field $f_k^{forw}$ using and the warped image $T\circ\phi_k$
- compute the backward update field $f_k^{back}$ using the warped image $R(x)\circ\phi_k^{-1}$ and
- compute the next velocity field by $v_{k+1} = (Id - \tau\alpha A)^{-1} (v_k + \frac{\tau}{2}(f_k^{forw} + f_k^{back}))$
- compute the next transformation $\phi_{k+1}=exp(v_{k+1})$ and the inverse $\phi_{k+1}^{-1}=exp(-v_{k+1})$
until is fulfilled or

The force term $ f $ is implemented in a subclass of VariationalRegistrationFunction. The computation of the regularization with $(Id - \tau\alpha A)^{-1}$ is implemented in a subclass of VariationalRegistrationRegularizer. The exponentiation of the velocity field $\phi(x)=exp(v(x))$ is done using the ExponentialDisplacementFieldImageFilter.

You can set SmoothUpdateFieldOn() to smooth the velocity field before exponentiation.

See Also: VariationalRegistrationFilter; VariationalDiffeomorphicRegistrationFilter; VariationalRegistrationFunction; VariationalRegistrationRegularizer; ExponentialDisplacementFieldImageFilter; DenseFiniteDifferenceImageFilter

Note: This class was developed with funding from the German Research Foundation (DFG: EH 224/3-1 and HA 235/9-1).

Author: Alexander Schmidt-Richberg; Rene Werner; Jan Ehrhardt

For details see:

Alexander Schmidt-Richberg, Rene Werner, Heinz Handels and Jan Ehrhardt: A Flexible Variational Registration Framework, Insight Journal, 2014 http://hdl.handle.net/10380/3460
Rene Werner, Alexander Schmidt-Richberg, Heinz Handels and Jan Ehrhardt: Estimation of lung motion fields in 4D CT data by variational non-linear intensity-based registration: A comparison and evaluation study, Phys. Med. Biol., 2014
Jan Ehrhardt, Rene Werner, Alexander Schmidt-Richberg and Heinz Handels: Statistical modeling of 4D respiratory lung motion using diffeomorphic image registration. IEEE Trans. Med. Imaging, 30(2), 2011

Definition at line 90 of file itkVariationalSymmetricDiffeomorphicRegistrationFilter.h.

Public Types
typedef SmartPointer< const Self >	ConstPointer

typedef DisplacementFieldType::Pointer	DisplacementFieldPointer

typedef TDisplacementField	DisplacementFieldType

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 SmartPointer< Self >	Pointer

typedef Superclass::RegistrationFunctionType	RegistrationFunctionType

typedef Superclass::RegularizerType	RegularizerType

typedef VariationalSymmetricDiffeomorphicRegistrationFilter	Self

typedef VariationalDiffeomorphicRegistrationFilter < TFixedImage, TMovingImage, TDisplacementField >	Superclass

typedef Superclass::TimeStepType	TimeStepType

typedef OutputImageType	UpdateBufferType

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

typedef DisplacementFieldType::Pointer	DisplacementFieldPointer

typedef TDisplacementField	DisplacementFieldType

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 SmartPointer< Self >	Pointer

typedef Superclass::RegistrationFunctionType	RegistrationFunctionType

typedef Superclass::RegularizerType	RegularizerType

typedef VariationalDiffeomorphicRegistrationFilter	Self

typedef VariationalRegistrationFilter < TFixedImage, TMovingImage, TDisplacementField >	Superclass

typedef Superclass::TimeStepType	TimeStepType

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

typedef VariationalRegistrationDemonsFunction < FixedImageType, MovingImageType, DisplacementFieldType >	DefaultRegistrationFunctionType

typedef VariationalRegistrationDiffusionRegularizer < DisplacementFieldType >	DefaultRegularizerType

typedef DisplacementFieldType::Pointer	DisplacementFieldPointer

typedef TDisplacementField	DisplacementFieldType

typedef FixedImageType::ConstPointer	FixedImageConstPointer

typedef FixedImageType::Pointer	FixedImagePointer

typedef TFixedImage	FixedImageType

typedef MaskImageType::ConstPointer	MaskImageConstPointer

typedef unsigned char	MaskImagePixelType

typedef MaskImageType::Pointer	MaskImagePointer

typedef Image < MaskImagePixelType, ImageDimension >	MaskImageType

typedef MovingImageType::ConstPointer	MovingImageConstPointer

typedef MovingImageType::Pointer	MovingImagePointer

typedef TMovingImage	MovingImageType

typedef Superclass::OutputImageType	OutputImageType

typedef SmartPointer< Self >	Pointer

typedef VariationalRegistrationFunction < FixedImageType, MovingImageType, DisplacementFieldType >	RegistrationFunctionType

typedef RegularizerType::Pointer	RegularizerPointer

typedef VariationalRegistrationRegularizer < DisplacementFieldType >	RegularizerType

typedef VariationalRegistrationFilter	Self

typedef DenseFiniteDifferenceImageFilter < TDisplacementField, TDisplacementField >	Superclass

typedef Superclass::TimeStepType	TimeStepType

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 () const

virtual const char *	GetNameOfClass () const

	itkGetObjectMacro (InverseDisplacementField, DisplacementFieldType)

Public Member Functions inherited from itk::VariationalDiffeomorphicRegistrationFilter< TFixedImage, TMovingImage, TDisplacementField >
virtual DisplacementFieldType *	GetDisplacementField ()

virtual unsigned int	GetNumberOfExponentiatorIterations () const

virtual DisplacementFieldType *	GetVelocityField ()

virtual void	SetInitialDisplacementField (DisplacementFieldType *ptr)

virtual void	SetInitialVelocityField (DisplacementFieldType *ptr)

virtual void	SetNumberOfExponentiatorIterations (unsigned int _arg)

Public Member Functions inherited from itk::VariationalRegistrationFilter< TFixedImage, TMovingImage, TDisplacementField >
virtual const FixedImageType *	GetFixedImage (void) const

virtual const MaskImageType *	GetMaskImage (void) const

virtual double	GetMetric () const

virtual const MovingImageType *	GetMovingImage (void) const

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

virtual const RegularizerType::Pointer &	GetRegularizer () const

virtual bool	GetSmoothDisplacementField () const

virtual bool	GetSmoothUpdateField () const

virtual void	SetFixedImage (const FixedImageType *ptr)

virtual void	SetMaskImage (const MaskImageType *ptr)

virtual void	SetMovingImage (const MovingImageType *ptr)

virtual void	SetRegularizer (RegularizerType *_arg)

virtual void	SetSmoothDisplacementField (bool _arg)

virtual void	SetSmoothUpdateField (bool _arg)

virtual void	SmoothDisplacementFieldOff ()

virtual void	SmoothDisplacementFieldOn ()

virtual void	SmoothUpdateFieldOff ()

virtual void	SmoothUpdateFieldOn ()

virtual void	StopRegistration ()

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 () const

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 () const

virtual void	SetUseImageSpacing (bool _arg)

virtual void	UseImageSpacingOn ()

virtual void	UseImageSpacingOff ()

virtual const bool &	GetUseImageSpacing () const

virtual void	SetMaximumRMSError (double _arg)

virtual const double &	GetMaximumRMSError () const

virtual void	SetRMSChange (double _arg)

virtual const double &	GetRMSChange () const

virtual void	SetManualReinitialization (bool _arg)

virtual const bool &	GetManualReinitialization () const

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 () const

const InputImageType *	GetInput (unsigned int idx) const

virtual void	PopBackInput () override

virtual void	PopFrontInput () override

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 (const DataObjectIdentifierType &key, DataObject *output)

OutputImageType *	GetOutput ()

const OutputImageType *	GetOutput () const

virtual void	GraftOutput (DataObject *output)

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

virtual ProcessObject::DataObjectPointer	MakeOutput (const ProcessObject::DataObjectIdentifierType &) override

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

virtual void	AbortGenerateDataOn ()

virtual void	EnlargeOutputRequestedRegion (DataObject *)

virtual const bool &	GetAbortGenerateData () const

DataObjectPointerArray	GetIndexedInputs ()

DataObjectPointerArray	GetIndexedOutputs ()

NameArray	GetInputNames () const

DataObjectPointerArray	GetInputs ()

MultiThreader *	GetMultiThreader () const

DataObjectPointerArraySizeType	GetNumberOfIndexedInputs () const

DataObjectPointerArraySizeType	GetNumberOfIndexedOutputs () const

DataObjectPointerArraySizeType	GetNumberOfInputs () const

DataObjectPointerArraySizeType	GetNumberOfOutputs () const

NameArray	GetOutputNames () const

DataObjectPointerArray	GetOutputs ()

virtual const float &	GetProgress () const

NameArray	GetRequiredInputNames () const

bool	HasInput (const DataObjectIdentifierType &key) const

bool	HasOutput (const DataObjectIdentifierType &key) const

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)

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 ()

const MetaDataDictionary &	GetMetaDataDictionary () 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 override

void	RemoveAllObservers ()

void	RemoveObserver (unsigned long tag)

void	SetDebug (bool debugFlag) const

void	SetMetaDataDictionary (const MetaDataDictionary &rhs)

virtual void	SetReferenceCount (int) override

virtual void	UnRegister () const noexceptoverride

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::VariationalDiffeomorphicRegistrationFilter< TFixedImage, TMovingImage, TDisplacementField >
static Pointer	New ()

Static Public Member Functions inherited from itk::VariationalRegistrationFilter< TFixedImage, TMovingImage, TDisplacementField >
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 ()

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

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

Static Public Attributes inherited from itk::VariationalRegistrationFilter< 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 Types
typedef UpdateBufferType::RegionType	ThreadRegionType

Protected Types inherited from itk::VariationalDiffeomorphicRegistrationFilter< TFixedImage, TMovingImage, TDisplacementField >
typedef FieldExponentiatorType::Pointer	FieldExponentiatorPointer

typedef itk::ExponentialDisplacementFieldImageFilter < DisplacementFieldType, DisplacementFieldType >	FieldExponentiatorType

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

Protected Types inherited from itk::ImageToImageFilter< TDisplacementField, TDisplacementField >
typedef ImageToImageFilterDetail::ImageRegionCopier < itkGetStaticConstMacro(OutputImageDimension), itkGetStaticConstMacro(InputImageDimension) >	InputToOutputRegionCopierType

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

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

virtual void	CalcInverseDeformationFromVelocityField (const DisplacementFieldType *velocityField)

virtual TimeStepType	CalculateChange ()

virtual void	Initialize ()

virtual void	InitializeBackwardIteration ()

	itkGetObjectMacro (BackwardUpdateBuffer, UpdateBufferType)

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

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

	VariationalSymmetricDiffeomorphicRegistrationFilter ()

	~VariationalSymmetricDiffeomorphicRegistrationFilter ()

Protected Member Functions inherited from itk::VariationalDiffeomorphicRegistrationFilter< TFixedImage, TMovingImage, TDisplacementField >
virtual void	CalcDeformationFromVelocityField (const DisplacementFieldType *velocityField)

virtual FieldExponentiatorPointer	GetExponentiator ()

	VariationalDiffeomorphicRegistrationFilter ()

	~VariationalDiffeomorphicRegistrationFilter ()

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

virtual void	GenerateInputRequestedRegion ()

virtual void	GenerateOutputInformation ()

virtual bool	Halt ()

virtual void	InitializeIteration ()

	VariationalRegistrationFilter ()

virtual void	VerifyInputInformation ()

	~VariationalRegistrationFilter ()

RegistrationFunctionType *	DownCastDifferenceFunctionType ()

const RegistrationFunctionType *	DownCastDifferenceFunctionType () const

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

	DenseFiniteDifferenceImageFilter ()

virtual UpdateBufferType *	GetUpdateBuffer ()

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

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 () override

virtual void	PostProcessOutput ()

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

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 () override

virtual bool	GetRunningInPlace () const

	InPlaceImageFilter ()

virtual void	ReleaseInputs () override

	~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 ()

	~ImageToImageFilter ()

void	PushBackInput (const DataObject *input) override

void	PushFrontInput (const DataObject *input) override

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

virtual void	BeforeThreadedGenerateData ()

virtual const ImageRegionSplitterBase *	GetImageRegionSplitter () const

	ImageSource ()

virtual unsigned int	SplitRequestedRegion (unsigned int i, unsigned int pieces, 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)

bool	AddRequiredInputName (const DataObjectIdentifierType &)

bool	AddRequiredInputName (const DataObjectIdentifierType &, DataObjectPointerArraySizeType idx)

virtual void	CacheInputReleaseDataFlags ()

virtual void	GenerateOutputRequestedRegion (DataObject *output)

DataObject *	GetInput (const DataObjectIdentifierType &key)

const DataObject *	GetInput (const DataObjectIdentifierType &key) const

virtual const DataObjectPointerArraySizeType &	GetNumberOfRequiredInputs () const

virtual const DataObjectPointerArraySizeType &	GetNumberOfRequiredOutputs () const

bool	IsIndexedInputName (const DataObjectIdentifierType &) const

bool	IsIndexedOutputName (const DataObjectIdentifierType &) const

bool	IsRequiredInputName (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)

bool	RemoveRequiredInputName (const DataObjectIdentifierType &)

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	SetNumberOfRequiredInputs (DataObjectPointerArraySizeType)

virtual void	SetNumberOfRequiredOutputs (DataObjectPointerArraySizeType _arg)

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

virtual void	SetPrimaryInput (DataObject *input)

virtual void	SetPrimaryOutput (DataObject *output)

void	SetRequiredInputNames (const NameArray &)

virtual void	VerifyPreconditions ()

	~ProcessObject ()

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

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 Types
typedef FieldExponentiatorType::Pointer	FieldExponentiatorPointer

typedef Superclass::FieldExponentiatorType	FieldExponentiatorType

Private Member Functions
void	operator= (const Self &)

	VariationalSymmetricDiffeomorphicRegistrationFilter (const Self &)

Private Attributes
UpdateBufferType::Pointer	m_BackwardUpdateBuffer

DisplacementFieldPointer	m_InverseDisplacementField

FieldExponentiatorPointer	m_InverseExponentiator

Additional Inherited Members
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

Protected Attributes inherited from itk::ProcessObject
TimeStamp	m_OutputInformationMTime

bool	m_Updating

Protected Attributes inherited from itk::LightObject
AtomicInt< int >	m_ReferenceCount