#include <itkExponentialDisplacementFieldImageFilter.h>

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

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

Detailed Description

template<class TInputImage, class TOutputImage>
class itk::ExponentialDisplacementFieldImageFilter< TInputImage, TOutputImage >

Computes a diffeomorphic displacement field as the Lie group exponential of a vector field.

ExponentialDisplacementFieldImageFilter takes a 'smooth' vector field as input and computes the displacement field that is its exponential.

Given that both the input and output displacement field are represented as discrete images with pixel type vector, the exponential will be only an estimation and will probably not correspond to a perfect exponential. The precision of the exponential can be improved at the price of increasing the computation time (number of iterations).

The method used for computing the exponential displacement field is an iterative scaling and squaring (cf Arsigny et al., "A Log-Euclidean Framework for Statistics on Diffeomorphisms", MICCAI'06).

$exp(\Phi) = exp( \frac{\Phi}{2^N} )^{2^N}$

This filter expects both the input and output images to be of pixel type Vector.

Author: Tom Vercauteren, INRIA & Mauna Kea Technologies

This implementation was taken from the Insight Journal paper: http://hdl.handle.net/1926/510

Definition at line 62 of file itkExponentialDisplacementFieldImageFilter.h.

Public Types
typedef SmartPointer< const Self >	ConstPointer

typedef InputImageType::ConstPointer	InputImageConstPointer

typedef InputImageType::Pointer	InputImagePointer

typedef TInputImage	InputImageType

typedef InputPixelType::RealValueType	InputPixelRealValueType

typedef InputImageType::PixelType	InputPixelType

typedef OutputImageType::Pointer	OutputImagePointer

typedef TOutputImage	OutputImageType

typedef OutputImageType::PixelType	OutputPixelType

typedef SmartPointer< Self >	Pointer

typedef ExponentialDisplacementFieldImageFilter	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

	typedef (Concept::HasNumericTraits< typename OutputPixelType::ValueType >) OutputHasNumericTraitsCheck

	typedef (Concept::SameDimension< ImageDimension, OutputImageDimension >) SameDimensionCheck1

	typedef (Concept::SameDimension< ImageDimension, PixelDimension >) SameDimensionCheck2

	typedef (Concept::SameDimension< ImageDimension, OutputPixelDimension >) SameDimensionCheck3


virtual void	SetMaximumNumberOfIterations (unsigned int _arg)

virtual unsigned int	GetMaximumNumberOfIterations () const


virtual void	SetAutomaticNumberOfIterations (bool _arg)

virtual bool	GetAutomaticNumberOfIterations () const

virtual void	AutomaticNumberOfIterationsOn ()

virtual void	AutomaticNumberOfIterationsOff ()


virtual void	SetComputeInverse (bool _arg)

virtual bool	GetComputeInverse () const

virtual void	ComputeInverseOn ()

virtual void	ComputeInverseOff ()

Public Member Functions inherited from itk::ImageToImageFilter< TInputImage, TOutputImage >
virtual double	GetCoordinateTolerance ()

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	SetCoordinateTolerance (double _arg)

virtual void	SetInput (const InputImageType *image)

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

virtual void	SetDirectionTolerance (double _arg)

virtual double	GetDirectionTolerance ()

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)

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

virtual DataObjectPointerArraySizeType	GetNumberOfValidRequiredInputs () 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 Attributes

static const unsigned int	ImageDimension = TInputImage::ImageDimension

static const unsigned int	OutputImageDimension = TInputImage::ImageDimension

static const unsigned int	PixelDimension = InputPixelType::Dimension

static const unsigned int	OutputPixelDimension = OutputPixelType::Dimension

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
typedef AdderType::Pointer	AdderPointer

typedef AddImageFilter < OutputImageType, OutputImageType, OutputImageType >	AdderType

typedef CasterType::Pointer	CasterPointer

typedef CastImageFilter < InputImageType, OutputImageType >	CasterType

typedef DivideByConstantType::Pointer	DivideByConstantPointer

typedef DivideImageFilter < InputImageType, itk::Image < InputPixelRealValueType, ImageDimension > , OutputImageType >	DivideByConstantType

typedef FieldInterpolatorType::OutputType	FieldInterpolatorOutputType

typedef FieldInterpolatorType::Pointer	FieldInterpolatorPointer

typedef VectorLinearInterpolateNearestNeighborExtrapolateImageFunction < OutputImageType, double >	FieldInterpolatorType

typedef InputImageType::RegionType	RegionType

typedef VectorWarperType::Pointer	VectorWarperPointer

typedef WarpVectorImageFilter < OutputImageType, OutputImageType, OutputImageType >	VectorWarperType

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 Member Functions
	ExponentialDisplacementFieldImageFilter ()

void	GenerateData ()

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

virtual	~ExponentialDisplacementFieldImageFilter ()

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 ()

virtual void	VerifyInputInformation ()

void	PushBackInput (const DataObject *input)

void	PushFrontInput (const DataObject *input)

	ImageToImageFilter ()

	~ImageToImageFilter ()

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

virtual void	AllocateOutputs ()

virtual void	BeforeThreadedGenerateData ()

	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)

bool	AddRequiredInputName (const DataObjectIdentifierType &)

virtual void	CacheInputReleaseDataFlags ()

virtual void	GenerateOutputInformation ()

virtual void	GenerateOutputRequestedRegion (DataObject *output)

virtual const DataObjectPointerArraySizeType &	GetNumberOfRequiredOutputs ()

bool	IsIndexedInputName (const DataObjectIdentifierType &) const

bool	IsIndexedOutputName (const DataObjectIdentifierType &) const

bool	IsRequiredInputName (const DataObjectIdentifierType &) const

	itkLegacyMacro (virtual void RemoveInput(DataObject *input))

	itkLegacyMacro (virtual void RemoveOutput(DataObject *output))

	itkLegacyMacro (void SetNumberOfInputs(DataObjectPointerArraySizeType num))

	itkLegacyMacro (void SetNumberOfOutputs(DataObjectPointerArraySizeType num))

DataObjectPointerArraySizeType	MakeIndexFromInputName (const DataObjectIdentifierType &name) const

DataObjectPointerArraySizeType	MakeIndexFromOutputName (const DataObjectIdentifierType &name) const

DataObjectIdentifierType	MakeNameFromInputIndex (DataObjectPointerArraySizeType idx) const

DataObjectIdentifierType	MakeNameFromOutputIndex (DataObjectPointerArraySizeType idx) const

	ProcessObject ()

virtual void	PropagateResetPipeline ()

virtual void	ReleaseInputs ()

virtual void	RemoveInput (const DataObjectIdentifierType &key)

virtual void	RemoveInput (DataObjectPointerArraySizeType)

virtual void	RemoveOutput (const DataObjectIdentifierType &key)

virtual void	RemoveOutput (DataObjectPointerArraySizeType idx)

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	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 (const DataObjectIdentifierType &key)

const DataObject *	GetInput (const DataObjectIdentifierType &key) const

DataObject *	GetInput (DataObjectPointerArraySizeType)

const DataObject *	GetInput (DataObjectPointerArraySizeType idx) const

DataObject *	GetPrimaryInput ()

const DataObject *	GetPrimaryInput () const

virtual void	SetPrimaryInputName (const DataObjectIdentifierType &key)

virtual const char *	GetPrimaryInputName () const

DataObject *	GetOutput (const DataObjectIdentifierType &key)

const DataObject *	GetOutput (const DataObjectIdentifierType &key) const

virtual void	SetPrimaryOutputName (const DataObjectIdentifierType &key)

virtual const char *	GetPrimaryOutputName () const

DataObject *	GetOutput (DataObjectPointerArraySizeType idx)

const DataObject *	GetOutput (DataObjectPointerArraySizeType idx) const

DataObject *	GetPrimaryOutput ()

const DataObject *	GetPrimaryOutput () const

virtual void	SetNumberOfRequiredInputs (DataObjectPointerArraySizeType)

virtual const DataObjectPointerArraySizeType &	GetNumberOfRequiredInputs ()

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
	ExponentialDisplacementFieldImageFilter (const Self &)

void	operator= (const Self &)

Private Attributes
AdderPointer	m_Adder

bool	m_AutomaticNumberOfIterations

CasterPointer	m_Caster

bool	m_ComputeInverse

DivideByConstantPointer	m_Divider

unsigned int	m_MaximumNumberOfIterations

VectorWarperPointer	m_Warper

Additional Inherited Members
Static Protected Member Functions inherited from itk::ImageSource< TOutputImage >
static ITK_THREAD_RETURN_TYPE	ThreaderCallback (void *arg)

Protected Attributes inherited from itk::ProcessObject
TimeStamp	m_OutputInformationMTime

bool	m_Updating