#include <itkBSplineExponentialDiffeomorphicTransform.h>

Inheritance diagram for itk::BSplineExponentialDiffeomorphicTransform< TParametersValueType, NDimensions >:

Collaboration diagram for itk::BSplineExponentialDiffeomorphicTransform< TParametersValueType, NDimensions >:

Detailed Description

template<typename TParametersValueType, unsigned int NDimensions>
class itk::BSplineExponentialDiffeomorphicTransform< TParametersValueType, NDimensions >

Exponential transform using B-splines as the smoothing kernel.

Exponential transform inspired by the work of J. Ashburner (see reference below). Assuming a constant velocity field, the transform takes as input the update field at time point t = 1, $u$ and smooths it using a B-spline smoothing (i.e. fitting) operation, $S_{update}$ defined by SplineOrder and NumberOfControlPointsForTheUpdateField. We add that the current estimate of the velocity field and then perform a second smoothing step such that the new velocity field is

$\begin{eqnarray*} v_{new} = S_{velocity}( v_{old} + S_{update}( u ) ). \end{eqnarray*}$

We then exponentiate $v_{new}$ using the class ExponentialDisplacementImageFilter to yield both the forward and inverse displacement fields.

J. Ashburner. A Fast Diffeomorphic Image Registration Algorithm. NeuroImage, 38(1):95-113, 2007.

Author: Nick Tustison; Brian Avants

Definition at line 56 of file itkBSplineExponentialDiffeomorphicTransform.h.

Public Types
typedef BSplineFilterType::ArrayType	ArrayType

typedef ArrayType::ValueType	ArrayValueType

typedef DisplacementFieldToBSplineImageFilter < ConstantVelocityFieldType >	BSplineFilterType

typedef Superclass::ConstantVelocityFieldPointer	ConstantVelocityFieldPointer

typedef Superclass::ConstantVelocityFieldType	ConstantVelocityFieldType

typedef SmartPointer< const Self >	ConstPointer

typedef Superclass::DerivativeType	DerivativeType

typedef DerivativeType::ValueType	DerivativeValueType

typedef Superclass::DisplacementFieldPointer	DisplacementFieldPointer

typedef Superclass::DisplacementFieldType	DisplacementFieldType

typedef DisplacementFieldType::PixelType	DisplacementVectorType

typedef Superclass::FixedParametersType	FixedParametersType

typedef Superclass::FixedParametersValueType	FixedParametersValueType

typedef Superclass::ParametersType	ParametersType

typedef Superclass::ParametersValueType	ParametersValueType

typedef SmartPointer< Self >	Pointer

typedef PointSet < ConstantVelocityFieldType, Dimension >	PointSetType

typedef Superclass::ScalarType	ScalarType

typedef BSplineExponentialDiffeomorphicTransform	Self

typedef unsigned int	SplineOrderType

typedef ConstantVelocityFieldTransform < TParametersValueType, NDimensions >	Superclass

typedef BSplineFilterType::WeightsContainerType	WeightsContainerType

Public Types inherited from itk::ConstantVelocityFieldTransform< TParametersValueType, NDimensions >
typedef ConstantVelocityFieldInterpolatorType::Pointer	ConstantVelocityFieldInterpolatorPointer

typedef VectorInterpolateImageFunction < ConstantVelocityFieldType, ScalarType >	ConstantVelocityFieldInterpolatorType

typedef ConstantVelocityFieldType::Pointer	ConstantVelocityFieldPointer

typedef Image < OutputVectorType, ConstantVelocityFieldDimension >	ConstantVelocityFieldType

typedef SmartPointer< const Self >	ConstPointer

typedef Superclass::DerivativeType	DerivativeType

typedef ConstantVelocityFieldType::DirectionType	DirectionType

typedef DisplacementFieldType::Pointer	DisplacementFieldPointer

typedef Superclass::DisplacementFieldType	DisplacementFieldType

typedef Superclass::FixedParametersType	FixedParametersType

typedef Superclass::FixedParametersValueType	FixedParametersValueType

typedef ConstantVelocityFieldType::IndexType	IndexType

typedef Superclass::InputPointType	InputPointType

typedef Superclass::InputVectorPixelType	InputVectorPixelType

typedef Superclass::InputVectorType	InputVectorType

typedef Superclass::InverseTransformBasePointer	InverseTransformBasePointer

typedef Superclass::NumberOfParametersType	NumberOfParametersType

typedef ImageVectorOptimizerParametersHelper < ScalarType, Dimension, ConstantVelocityFieldDimension >	OptimizerParametersHelperType

typedef Superclass::OutputPointType	OutputPointType

typedef Superclass::OutputVectorPixelType	OutputVectorPixelType

typedef Superclass::OutputVectorType	OutputVectorType

typedef Superclass::ParametersType	ParametersType

typedef Superclass::ParametersValueType	ParametersValueType

typedef ConstantVelocityFieldType::PixelType	PixelType

typedef SmartPointer< Self >	Pointer

typedef ConstantVelocityFieldType::PointType	PointType

typedef ConstantVelocityFieldType::RegionType	RegionType

typedef Superclass::ScalarType	ScalarType

typedef ConstantVelocityFieldTransform	Self

typedef ConstantVelocityFieldType::SizeType	SizeType

typedef ConstantVelocityFieldType::SpacingType	SpacingType

typedef DisplacementFieldTransform < TParametersValueType, NDimensions >	Superclass

typedef Superclass::TransformCategoryType	TransformCategoryType

typedef ConstantVelocityFieldType	VelocityFieldType

Public Types inherited from itk::DisplacementFieldTransform< TParametersValueType, NDimensions >
typedef SmartPointer< const Self >	ConstPointer

typedef Superclass::DerivativeType	DerivativeType

typedef DisplacementFieldType::DirectionType	DirectionType

typedef DisplacementFieldType::ConstPointer	DisplacementFieldConstPointer

typedef DisplacementFieldType::Pointer	DisplacementFieldPointer

typedef Image < OutputVectorType, Dimension >	DisplacementFieldType

typedef Superclass::FixedParametersType	FixedParametersType

typedef Superclass::FixedParametersValueType	FixedParametersValueType

typedef DisplacementFieldType::IndexType	IndexType

typedef Superclass::InputCovariantVectorType	InputCovariantVectorType

typedef Superclass::InputDiffusionTensor3DType	InputDiffusionTensor3DType

typedef Superclass::InputPointType	InputPointType

typedef CovariantVector < ScalarType, InputDiffusionTensor3DType::Dimension >	InputTensorEigenVectorType

typedef Superclass::InputVectorPixelType	InputVectorPixelType

typedef Superclass::InputVectorType	InputVectorType

typedef Superclass::InputVnlVectorType	InputVnlVectorType

typedef VectorInterpolateImageFunction < DisplacementFieldType, ScalarType >	InterpolatorType

typedef Superclass::InverseTransformBasePointer	InverseTransformBasePointer

typedef Superclass::JacobianType	JacobianType

typedef Superclass::NumberOfParametersType	NumberOfParametersType

typedef ImageVectorOptimizerParametersHelper < ScalarType, OutputVectorType::Dimension, Dimension >	OptimizerParametersHelperType

typedef Superclass::OutputCovariantVectorType	OutputCovariantVectorType

typedef Superclass::OutputDiffusionTensor3DType	OutputDiffusionTensor3DType

typedef Superclass::OutputPointType	OutputPointType

typedef CovariantVector < ScalarType, OutputDiffusionTensor3DType::Dimension >	OutputTensorEigenVectorType

typedef Superclass::OutputVectorPixelType	OutputVectorPixelType

typedef Superclass::OutputVectorType	OutputVectorType

typedef Superclass::OutputVnlVectorType	OutputVnlVectorType

typedef Superclass::ParametersType	ParametersType

typedef Superclass::ParametersValueType	ParametersValueType

typedef DisplacementFieldType::PixelType	PixelType

typedef SmartPointer< Self >	Pointer

typedef DisplacementFieldType::PointType	PointType

typedef DisplacementFieldType::RegionType	RegionType

typedef Superclass::ScalarType	ScalarType

typedef DisplacementFieldTransform	Self

typedef DisplacementFieldType::SizeType	SizeType

typedef DisplacementFieldType::SpacingType	SpacingType

typedef Transform < TParametersValueType, NDimensions, NDimensions >	Superclass

typedef Superclass::TransformCategoryType	TransformCategoryType

Public Types inherited from itk::Transform< TParametersValueType, NDimensions, NDimensions >
typedef SmartPointer< const Self >	ConstPointer

typedef Array < ParametersValueType >	DerivativeType

typedef Matrix< double, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)>	DirectionChangeMatrix

typedef Superclass::FixedParametersType	FixedParametersType

typedef Superclass::FixedParametersValueType	FixedParametersValueType

typedef CovariantVector < TParametersValueType, NInputDimensions >	InputCovariantVectorType

typedef DiffusionTensor3D < TParametersValueType >	InputDiffusionTensor3DType

typedef Matrix< double, itkGetStaticConstMacro(InputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)>	InputDirectionMatrix

typedef Point < TParametersValueType, NInputDimensions >	InputPointType

typedef SymmetricSecondRankTensor < TParametersValueType, NInputDimensions >	InputSymmetricSecondRankTensorType

typedef VariableLengthVector < TParametersValueType >	InputVectorPixelType

typedef Vector < TParametersValueType, NInputDimensions >	InputVectorType

typedef vnl_vector_fixed < TParametersValueType, NInputDimensions >	InputVnlVectorType

typedef InverseTransformBaseType::Pointer	InverseTransformBasePointer

typedef Transform < TParametersValueType, NOutputDimensions, NInputDimensions >	InverseTransformBaseType

typedef Array2D < ParametersValueType >	JacobianType

typedef Matrix < TParametersValueType, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)>	MatrixType

typedef Superclass::NumberOfParametersType	NumberOfParametersType

typedef CovariantVector < TParametersValueType, NOutputDimensions >	OutputCovariantVectorType

typedef DiffusionTensor3D < TParametersValueType >	OutputDiffusionTensor3DType

typedef Matrix< double, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(OutputSpaceDimension)>	OutputDirectionMatrix

typedef Point < TParametersValueType, NOutputDimensions >	OutputPointType

typedef SymmetricSecondRankTensor < TParametersValueType, NOutputDimensions >	OutputSymmetricSecondRankTensorType

typedef VariableLengthVector < TParametersValueType >	OutputVectorPixelType

typedef Vector < TParametersValueType, NOutputDimensions >	OutputVectorType

typedef vnl_vector_fixed < TParametersValueType, NOutputDimensions >	OutputVnlVectorType

typedef Superclass::ParametersType	ParametersType

typedef Superclass::ParametersValueType	ParametersValueType

typedef SmartPointer< Self >	Pointer

typedef ParametersValueType	ScalarType

typedef Transform	Self

typedef TransformBaseTemplate < TParametersValueType >	Superclass

typedef Superclass::TransformCategoryType	TransformCategoryType

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

typedef OptimizerParameters < FixedParametersValueType >	FixedParametersType

typedef double	FixedParametersValueType

typedef IdentifierType	NumberOfParametersType

typedef OptimizerParameters < ParametersValueType >	ParametersType

typedef TParametersValueType	ParametersValueType

typedef SmartPointer< Self >	Pointer

typedef TransformBaseTemplate	Self

typedef Object	Superclass

enum	TransformCategoryType { UnknownTransformCategory =0, Linear =1, BSpline =2, Spline =3, DisplacementField =4, VelocityField =5 }

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 ConstantVelocityFieldPointer	BSplineSmoothConstantVelocityField (const ConstantVelocityFieldType *, const ArrayType &)

virtual ::itk::LightObject::Pointer	CreateAnother () const

virtual const char *	GetNameOfClass () const

void	SetMeshSizeForTheConstantVelocityField (const ArrayType &)

void	SetMeshSizeForTheUpdateField (const ArrayType &)

virtual void	UpdateTransformParameters (const DerivativeType &update, ScalarType factor=1.0) override


virtual void	SetSplineOrder (SplineOrderType _arg)

virtual SplineOrderType	GetSplineOrder () const


virtual void	SetNumberOfControlPointsForTheConstantVelocityField (ArrayType _arg)

virtual ArrayType	GetNumberOfControlPointsForTheConstantVelocityField () const


virtual void	SetNumberOfControlPointsForTheUpdateField (ArrayType _arg)

virtual ArrayType	GetNumberOfControlPointsForTheUpdateField () const

Public Member Functions inherited from itk::ConstantVelocityFieldTransform< TParametersValueType, NDimensions >
virtual void	CalculateNumberOfIntegrationStepsAutomaticallyOff ()

virtual void	CalculateNumberOfIntegrationStepsAutomaticallyOn ()

virtual ::itk::LightObject::Pointer	CreateAnother () const

virtual bool	GetCalculateNumberOfIntegrationStepsAutomatically () const

virtual const ModifiedTimeType &	GetConstantVelocityFieldSetTime () const

bool	GetInverse (Self *inverse) const

virtual InverseTransformBasePointer	GetInverseTransform () const override

virtual ScalarType	GetLowerTimeBound () const

virtual unsigned int	GetNumberOfIntegrationSteps () const

virtual ScalarType	GetUpperTimeBound () const

virtual void	IntegrateVelocityField ()

virtual void	SetCalculateNumberOfIntegrationStepsAutomatically (bool _arg)

virtual void	SetFixedParameters (const FixedParametersType &) override

virtual void	SetLowerTimeBound (ScalarType _arg)

virtual void	SetNumberOfIntegrationSteps (unsigned int _arg)

virtual void	SetUpperTimeBound (ScalarType _arg)

virtual void	SetConstantVelocityField (ConstantVelocityFieldType *)

virtual ConstantVelocityFieldType *	GetModifiableConstantVelocityField ()

virtual const ConstantVelocityFieldType *	GetConstantVelocityField () const

virtual void	SetConstantVelocityFieldInterpolator (ConstantVelocityFieldInterpolatorType *)

virtual ConstantVelocityFieldInterpolatorType *	GetModifiableConstantVelocityFieldInterpolator ()

virtual const ConstantVelocityFieldInterpolatorType *	GetConstantVelocityFieldInterpolator () const

Public Member Functions inherited from itk::DisplacementFieldTransform< TParametersValueType, NDimensions >
virtual void	ComputeInverseJacobianWithRespectToPosition (const InputPointType &x, JacobianType &j) const override

virtual void	ComputeJacobianWithRespectToParameters (const IndexType &, JacobianType &j) const

virtual void	ComputeJacobianWithRespectToPosition (const InputPointType &x, JacobianType &j) const override

virtual void	ComputeJacobianWithRespectToPosition (const IndexType &x, JacobianType &j) const

virtual ::itk::LightObject::Pointer	CreateAnother () const

virtual const ModifiedTimeType &	GetDisplacementFieldSetTime () const

bool	GetInverse (Self *inverse) const

virtual void	GetInverseJacobianOfForwardFieldWithRespectToPosition (const InputPointType &point, JacobianType &jacobian, bool useSVD=false) const

virtual void	GetInverseJacobianOfForwardFieldWithRespectToPosition (const IndexType &index, JacobianType &jacobian, bool useSVD=false) const

virtual NumberOfParametersType	GetNumberOfLocalParameters (void) const override

virtual TransformCategoryType	GetTransformCategory () const override

virtual void	SetIdentity ()

virtual OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &) const override

OutputVectorPixelType	TransformDiffusionTensor (const InputVectorPixelType &) const

virtual OutputPointType	TransformPoint (const InputPointType &thisPoint) const override

virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &) const override

virtual OutputVnlVectorType	TransformVector (const InputVnlVectorType &) const override

virtual void	SetDisplacementField (DisplacementFieldType *field)

virtual DisplacementFieldType *	GetModifiableDisplacementField ()

virtual const DisplacementFieldType *	GetDisplacementField () const

virtual void	SetInverseDisplacementField (DisplacementFieldType *inverseDisplacementField)

virtual DisplacementFieldType *	GetModifiableInverseDisplacementField ()

virtual const DisplacementFieldType *	GetInverseDisplacementField () const

virtual void	SetInterpolator (InterpolatorType *interpolator)

virtual InterpolatorType *	GetModifiableInterpolator ()

virtual const InterpolatorType *	GetInterpolator () const

virtual void	SetInverseInterpolator (InterpolatorType *interpolator)

virtual InterpolatorType *	GetModifiableInverseInterpolator ()

virtual const InterpolatorType *	GetInverseInterpolator () const

virtual OutputVectorType	TransformVector (const InputVectorType &) const override

OutputDiffusionTensor3DType	TransformDiffusionTensor (const InputDiffusionTensor3DType &) const

virtual OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const override

virtual void	SetParameters (const ParametersType &params) override

virtual void	ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &j) const override

virtual void	SetCoordinateTolerance (double _arg)

virtual double	GetCoordinateTolerance () const

virtual void	SetDirectionTolerance (double _arg)

virtual double	GetDirectionTolerance () const

Public Member Functions inherited from itk::Transform< TParametersValueType, NDimensions, NDimensions >
virtual void	ComputeInverseJacobianWithRespectToPosition (const InputPointType &x, JacobianType &jacobian) const

virtual void	ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &) const =0

virtual void	ComputeJacobianWithRespectToParametersCachedTemporaries (const InputPointType &p, JacobianType &jacobian, JacobianType &) const

virtual void	ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianType &) const

virtual void	CopyInFixedParameters (const FixedParametersValueType const begin, const FixedParametersValueType const end) override

virtual void	CopyInParameters (const ParametersValueType const begin, const ParametersValueType const end) override

virtual const FixedParametersType &	GetFixedParameters (void) const override

unsigned int	GetInputSpaceDimension (void) const override

bool	GetInverse (Self *) const

virtual NumberOfParametersType	GetNumberOfFixedParameters () const

virtual NumberOfParametersType	GetNumberOfParameters (void) const override

unsigned int	GetOutputSpaceDimension (void) const override

virtual const ParametersType &	GetParameters (void) const override

virtual std::string	GetTransformTypeAsString () const override

virtual bool	IsLinear () const

	itkCloneMacro (Self)

virtual void	SetParametersByValue (const ParametersType &p) override

virtual OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const

virtual OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &vector, const InputPointType &point) const

virtual OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &) const

virtual OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &vector, const InputPointType &point) const

virtual OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &) const

virtual OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &tensor, const InputPointType &point) const

virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &) const

virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &tensor, const InputPointType &point) const

virtual OutputPointType	TransformPoint (const InputPointType &) const =0

virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &tensor, const InputPointType &point) const

virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &) const

virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &) const

virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &tensor, const InputPointType &point) const

virtual OutputVectorType	TransformVector (const InputVectorType &) const

virtual OutputVectorType	TransformVector (const InputVectorType &vector, const InputPointType &point) const

virtual OutputVnlVectorType	TransformVector (const InputVnlVectorType &) const

virtual OutputVnlVectorType	TransformVector (const InputVnlVectorType &vector, const InputPointType &point) const

virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &) const

virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &vector, const InputPointType &point) const

virtual void	UpdateTransformParameters (const DerivativeType &update, ParametersValueType factor=1.0)

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::ConstantVelocityFieldTransform< TParametersValueType, NDimensions >
static Pointer	New ()

Static Public Member Functions inherited from itk::DisplacementFieldTransform< TParametersValueType, NDimensions >
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	ConstantVelocityFieldDimension = NDimensions

static const unsigned int	Dimension = NDimensions

Static Public Attributes inherited from itk::ConstantVelocityFieldTransform< TParametersValueType, NDimensions >
static const unsigned int	ConstantVelocityFieldDimension = NDimensions

static const unsigned int	Dimension = NDimensions

Static Public Attributes inherited from itk::DisplacementFieldTransform< TParametersValueType, NDimensions >
static const unsigned int	Dimension = NDimensions

Static Public Attributes inherited from itk::Transform< TParametersValueType, NDimensions, NDimensions >
static const unsigned int	InputSpaceDimension

static const unsigned int	OutputSpaceDimension

Protected Member Functions
	BSplineExponentialDiffeomorphicTransform ()

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

virtual	~BSplineExponentialDiffeomorphicTransform () override

Protected Member Functions inherited from itk::ConstantVelocityFieldTransform< TParametersValueType, NDimensions >
	ConstantVelocityFieldTransform ()

DisplacementFieldType::Pointer	CopyDisplacementField (const DisplacementFieldType *) const

virtual LightObject::Pointer	InternalClone () const override

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

virtual	~ConstantVelocityFieldTransform () override

Protected Member Functions inherited from itk::DisplacementFieldTransform< TParametersValueType, NDimensions >
	DisplacementFieldTransform ()

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

virtual	~DisplacementFieldTransform () override

Protected Member Functions inherited from itk::Transform< TParametersValueType, NDimensions, NDimensions >
OutputDiffusionTensor3DType	PreservationOfPrincipalDirectionDiffusionTensor3DReorientation (const InputDiffusionTensor3DType, const JacobianType) const

	Transform ()

	Transform (NumberOfParametersType NumberOfParameters)

virtual	~Transform () override

Protected Member Functions inherited from itk::TransformBaseTemplate< TParametersValueType >
	TransformBaseTemplate ()

virtual	~TransformBaseTemplate () override

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

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

virtual void	SetTimeStamp (const TimeStamp &time)

virtual	~Object () override

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

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

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

virtual	~LightObject ()

Private Attributes
ArrayType	m_NumberOfControlPointsForTheConstantVelocityField

ArrayType	m_NumberOfControlPointsForTheUpdateField

SplineOrderType	m_SplineOrder

Additional Inherited Members
Protected Attributes inherited from itk::ConstantVelocityFieldTransform< TParametersValueType, NDimensions >
bool	m_CalculateNumberOfIntegrationStepsAutomatically

ConstantVelocityFieldPointer	m_ConstantVelocityField

ConstantVelocityFieldInterpolatorPointer	m_ConstantVelocityFieldInterpolator

ModifiedTimeType	m_ConstantVelocityFieldSetTime

ScalarType	m_LowerTimeBound

unsigned int	m_NumberOfIntegrationSteps

ScalarType	m_UpperTimeBound

Protected Attributes inherited from itk::DisplacementFieldTransform< TParametersValueType, NDimensions >
DisplacementFieldType::Pointer	m_DisplacementField

ModifiedTimeType	m_DisplacementFieldSetTime

JacobianType	m_IdentityJacobian

InterpolatorType::Pointer	m_Interpolator

DisplacementFieldType::Pointer	m_InverseDisplacementField

InterpolatorType::Pointer	m_InverseInterpolator

Protected Attributes inherited from itk::Transform< TParametersValueType, NDimensions, NDimensions >
DirectionChangeMatrix	m_DirectionChange

FixedParametersType	m_FixedParameters

ParametersType	m_Parameters

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