#include <itkGaussianExponentialDiffeomorphicTransform.h>

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

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

Public Types
using	ConstantVelocityFieldPointer = typename Superclass::ConstantVelocityFieldPointer

using	ConstantVelocityFieldType = typename Superclass::ConstantVelocityFieldType

using	ConstPointer = SmartPointer< const Self >

using	DerivativeType = typename Superclass::DerivativeType

using	DerivativeValueType = typename DerivativeType::ValueType

using	DisplacementFieldPointer = typename Superclass::DisplacementFieldPointer

using	DisplacementFieldType = typename Superclass::DisplacementFieldType

using	DisplacementVectorType = typename DisplacementFieldType::PixelType

using	Pointer = SmartPointer< Self >

using	ScalarType = typename Superclass::ScalarType

using	Self = GaussianExponentialDiffeomorphicTransform

using	Superclass = ConstantVelocityFieldTransform< TParametersValueType, NDimensions >

Public Types inherited from itk::ConstantVelocityFieldTransform< TParametersValueType, NDimensions >
using	ConstantVelocityFieldInterpolatorPointer = typename ConstantVelocityFieldInterpolatorType::Pointer

using	ConstantVelocityFieldInterpolatorType = VectorInterpolateImageFunction< ConstantVelocityFieldType, ScalarType >

using	ConstantVelocityFieldPointer = typename ConstantVelocityFieldType::Pointer

using	ConstantVelocityFieldType = Image< OutputVectorType, ConstantVelocityFieldDimension >

using	ConstPointer = SmartPointer< const Self >

using	DerivativeType = typename Superclass::DerivativeType

using	DirectionType = typename ConstantVelocityFieldType::DirectionType

using	DisplacementFieldPointer = typename DisplacementFieldType::Pointer

using	DisplacementFieldType = typename Superclass::DisplacementFieldType

using	FixedParametersType = typename Superclass::FixedParametersType

using	FixedParametersValueType = typename Superclass::FixedParametersValueType

using	IndexType = typename ConstantVelocityFieldType::IndexType

using	InputPointType = typename Superclass::InputPointType

using	InputVectorPixelType = typename Superclass::InputVectorPixelType

using	InputVectorType = typename Superclass::InputVectorType

using	InverseTransformBasePointer = typename Superclass::InverseTransformBasePointer

using	NumberOfParametersType = typename Superclass::NumberOfParametersType

using	OptimizerParametersHelperType = ImageVectorOptimizerParametersHelper< ScalarType, Dimension, ConstantVelocityFieldDimension >

using	OutputPointType = typename Superclass::OutputPointType

using	OutputVectorPixelType = typename Superclass::OutputVectorPixelType

using	OutputVectorType = typename Superclass::OutputVectorType

using	ParametersType = typename Superclass::ParametersType

using	ParametersValueType = typename Superclass::ParametersValueType

using	PixelType = typename ConstantVelocityFieldType::PixelType

using	Pointer = SmartPointer< Self >

using	PointType = typename ConstantVelocityFieldType::PointType

using	RegionType = typename ConstantVelocityFieldType::RegionType

using	ScalarType = typename Superclass::ScalarType

using	Self = ConstantVelocityFieldTransform

using	SizeType = typename ConstantVelocityFieldType::SizeType

using	SpacingType = typename ConstantVelocityFieldType::SpacingType

using	Superclass = DisplacementFieldTransform< TParametersValueType, NDimensions >

using	TransformCategoryEnum = typename Superclass::TransformCategoryEnum

using	VelocityFieldType = ConstantVelocityFieldType

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

using	DerivativeType = typename Superclass::DerivativeType

using	DirectionType = typename DisplacementFieldType::DirectionType

using	DisplacementFieldConstPointer = typename DisplacementFieldType::ConstPointer

using	DisplacementFieldPointer = typename DisplacementFieldType::Pointer

using	DisplacementFieldType = Image< OutputVectorType, Dimension >

using	FixedParametersType = typename Superclass::FixedParametersType

using	FixedParametersValueType = typename Superclass::FixedParametersValueType

using	IndexType = typename DisplacementFieldType::IndexType

using	InputCovariantVectorType = typename Superclass::InputCovariantVectorType

using	InputDiffusionTensor3DType = typename Superclass::InputDiffusionTensor3DType

using	InputPointType = typename Superclass::InputPointType

using	InputTensorEigenVectorType = CovariantVector< ScalarType, InputDiffusionTensor3DType::Dimension >

using	InputVectorPixelType = typename Superclass::InputVectorPixelType

using	InputVectorType = typename Superclass::InputVectorType

using	InputVnlVectorType = typename Superclass::InputVnlVectorType

using	InterpolatorType = VectorInterpolateImageFunction< DisplacementFieldType, ScalarType >

using	InverseJacobianPositionType = typename Superclass::InverseJacobianPositionType

using	InverseTransformBasePointer = typename Superclass::InverseTransformBasePointer

using	JacobianPositionType = typename Superclass::JacobianPositionType

using	JacobianType = typename Superclass::JacobianType

using	NumberOfParametersType = typename Superclass::NumberOfParametersType

using	OptimizerParametersHelperType = ImageVectorOptimizerParametersHelper< ScalarType, OutputVectorType::Dimension, Dimension >

using	OutputCovariantVectorType = typename Superclass::OutputCovariantVectorType

using	OutputDiffusionTensor3DType = typename Superclass::OutputDiffusionTensor3DType

using	OutputPointType = typename Superclass::OutputPointType

using	OutputTensorEigenVectorType = CovariantVector< ScalarType, OutputDiffusionTensor3DType::Dimension >

using	OutputVectorPixelType = typename Superclass::OutputVectorPixelType

using	OutputVectorType = typename Superclass::OutputVectorType

using	OutputVnlVectorType = typename Superclass::OutputVnlVectorType

using	ParametersType = typename Superclass::ParametersType

using	ParametersValueType = typename Superclass::ParametersValueType

using	PixelType = typename DisplacementFieldType::PixelType

using	Pointer = SmartPointer< Self >

using	PointType = typename DisplacementFieldType::PointType

using	RegionType = typename DisplacementFieldType::RegionType

using	ScalarType = typename Superclass::ScalarType

using	Self = DisplacementFieldTransform

using	SizeType = typename DisplacementFieldType::SizeType

using	SpacingType = typename DisplacementFieldType::SpacingType

using	Superclass = Transform< TParametersValueType, NDimensions, NDimensions >

using	TransformCategoryEnum = typename Superclass::TransformCategoryEnum

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

using	DerivativeType = Array< ParametersValueType >

using	DirectionChangeMatrix = Matrix< double, Self::OutputSpaceDimension, Self::InputSpaceDimension >

using	FixedParametersType = typename Superclass::FixedParametersType

using	FixedParametersValueType = typename Superclass::FixedParametersValueType

using	InputCovariantVectorType = CovariantVector< TParametersValueType, NInputDimensions >

using	InputDiffusionTensor3DType = DiffusionTensor3D< TParametersValueType >

using	InputDirectionMatrix = Matrix< double, Self::InputSpaceDimension, Self::InputSpaceDimension >

using	InputPointType = Point< TParametersValueType, NInputDimensions >

using	InputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< TParametersValueType, NInputDimensions >

using	InputVectorPixelType = VariableLengthVector< TParametersValueType >

using	InputVectorType = Vector< TParametersValueType, NInputDimensions >

using	InputVnlVectorType = vnl_vector_fixed< TParametersValueType, NInputDimensions >

using	InverseJacobianPositionType = vnl_matrix_fixed< ParametersValueType, NInputDimensions, NOutputDimensions >

using	InverseTransformBasePointer = typename InverseTransformBaseType::Pointer

using	InverseTransformBaseType = Transform< TParametersValueType, NOutputDimensions, NInputDimensions >

using	JacobianPositionType = vnl_matrix_fixed< ParametersValueType, NOutputDimensions, NInputDimensions >

using	JacobianType = Array2D< ParametersValueType >

using	MatrixType = Matrix< TParametersValueType, Self::OutputSpaceDimension, Self::InputSpaceDimension >

using	NumberOfParametersType = typename Superclass::NumberOfParametersType

using	OutputCovariantVectorType = CovariantVector< TParametersValueType, NOutputDimensions >

using	OutputDiffusionTensor3DType = DiffusionTensor3D< TParametersValueType >

using	OutputDirectionMatrix = Matrix< double, Self::OutputSpaceDimension, Self::OutputSpaceDimension >

using	OutputPointType = Point< TParametersValueType, NOutputDimensions >

using	OutputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< TParametersValueType, NOutputDimensions >

using	OutputVectorPixelType = VariableLengthVector< TParametersValueType >

using	OutputVectorType = Vector< TParametersValueType, NOutputDimensions >

using	OutputVnlVectorType = vnl_vector_fixed< TParametersValueType, NOutputDimensions >

using	ParametersType = typename Superclass::ParametersType

using	ParametersValueType = typename Superclass::ParametersValueType

using	Pointer = SmartPointer< Self >

using	ScalarType = ParametersValueType

using	Self = Transform

using	Superclass = TransformBaseTemplate< TParametersValueType >

using	TransformCategoryEnum = typename Superclass::TransformCategoryEnum

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

using	FixedParametersType = OptimizerParameters< FixedParametersValueType >

using	FixedParametersValueType = double

using	NumberOfParametersType = IdentifierType

using	ParametersType = OptimizerParameters< ParametersValueType >

using	ParametersValueType = TParametersValueType

using	Pointer = SmartPointer< Self >

using	Self = TransformBaseTemplate

using	Superclass = Object

using	TransformCategoryEnum = TransformBaseTemplateEnums::TransformCategory

Public Types inherited from itk::Object
using	ConstPointer = SmartPointer< const Self >

using	Pointer = SmartPointer< Self >

using	Self = Object

using	Superclass = LightObject

Public Types inherited from itk::LightObject
using	ConstPointer = SmartPointer< const Self >

using	Pointer = SmartPointer< Self >

using	Self = LightObject

Public Member Functions
virtual ::itk::LightObject::Pointer	CreateAnother () const

virtual ConstantVelocityFieldPointer	GaussianSmoothConstantVelocityField (ConstantVelocityFieldType *, ScalarType)

virtual const char *	GetNameOfClass () const

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

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

virtual ConstantVelocityFieldType *	GetModifiableConstantVelocityField ()

virtual const ConstantVelocityFieldType *	GetConstantVelocityField () const

void	SetFixedParameters (const FixedParametersType &) override

virtual void	SetConstantVelocityFieldInterpolator (ConstantVelocityFieldInterpolatorType *)

virtual ConstantVelocityFieldInterpolatorType *	GetModifiableConstantVelocityFieldInterpolator ()

virtual const ConstantVelocityFieldInterpolatorType *	GetConstantVelocityFieldInterpolator () const

virtual const ModifiedTimeType &	GetConstantVelocityFieldSetTime () const

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

bool	GetInverse (Self *inverse) const

InverseTransformBasePointer	GetInverseTransform () const override

virtual void	IntegrateVelocityField ()

virtual void	SetCalculateNumberOfIntegrationStepsAutomatically (bool _arg)

virtual bool	GetCalculateNumberOfIntegrationStepsAutomatically () const

virtual void	CalculateNumberOfIntegrationStepsAutomaticallyOn ()

virtual void	CalculateNumberOfIntegrationStepsAutomaticallyOff ()

virtual void	SetLowerTimeBound (ScalarType _arg)

virtual ScalarType	GetLowerTimeBound () const

virtual void	SetUpperTimeBound (ScalarType _arg)

virtual ScalarType	GetUpperTimeBound () const

virtual void	SetNumberOfIntegrationSteps (unsigned int _arg)

virtual unsigned int	GetNumberOfIntegrationSteps () const

Public Member Functions inherited from itk::DisplacementFieldTransform< TParametersValueType, NDimensions >
virtual void	SetDisplacementField (DisplacementFieldType *field)

virtual DisplacementFieldType *	GetModifiableDisplacementField ()

virtual const DisplacementFieldType *	GetDisplacementField () const

virtual void	SetInverseDisplacementField (DisplacementFieldType *inverseField)

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 const ModifiedTimeType &	GetDisplacementFieldSetTime () const

OutputPointType	TransformPoint (const InputPointType &inputPoint) const override

OutputVectorType	TransformVector (const InputVectorType &) const override

OutputVectorPixelType	TransformVector (const InputVectorPixelType &) const override

OutputVnlVectorType	TransformVector (const InputVnlVectorType &) const override

OutputDiffusionTensor3DType	TransformDiffusionTensor (const InputDiffusionTensor3DType &) const

OutputVectorPixelType	TransformDiffusionTensor (const InputVectorPixelType &) const

OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const override

OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &) const override

void	SetParameters (const ParametersType &params) override

void	SetFixedParameters (const FixedParametersType &) override

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

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

void	ComputeJacobianWithRespectToPosition (const InputPointType &point, JacobianPositionType &jacobian) const override

void	ComputeInverseJacobianWithRespectToPosition (const InputPointType &point, InverseJacobianPositionType &jacobian) const override

virtual void	ComputeJacobianWithRespectToPosition (const IndexType &index, JacobianPositionType &jacobian) const

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

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

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

bool	GetInverse (Self *inverse) const

InverseTransformBasePointer	GetInverseTransform () const override

virtual void	SetIdentity ()

TransformCategoryEnum	GetTransformCategory () const override

NumberOfParametersType	GetNumberOfLocalParameters () 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 >
void	CopyInFixedParameters (const FixedParametersValueType const begin, const FixedParametersValueType const end) override

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

const FixedParametersType &	GetFixedParameters () const override

unsigned int	GetInputSpaceDimension () const override

bool	GetInverse (Self *) const

virtual NumberOfParametersType	GetNumberOfFixedParameters () const

NumberOfParametersType	GetNumberOfParameters () const override

unsigned int	GetOutputSpaceDimension () const override

const ParametersType &	GetParameters () const override

TransformCategoryEnum	GetTransformCategory () const override

std::string	GetTransformTypeAsString () const override

virtual bool	IsLinear () const

	itkCloneMacro (Self)

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 &inputTensor, const InputPointType &point) const

virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &) const

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

virtual OutputPointType	TransformPoint (const InputPointType &) const=0

virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &) const

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

virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &) const

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

virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &) const

virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &vector, 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 void	UpdateTransformParameters (const DerivativeType &update, ParametersValueType factor=1.0)

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

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

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

	itkLegacyMacro (virtual void ComputeJacobianWithRespectToPosition(const InputPointType &x, JacobianType &jacobian) const)

	itkLegacyMacro (virtual void ComputeInverseJacobianWithRespectToPosition(const InputPointType &x, JacobianType &jacobian) const)

virtual void	ComputeInverseJacobianWithRespectToPosition (const InputPointType &pnt, InverseJacobianPositionType &jacobian) const

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

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

unsigned long	AddObserver (const EventObject &event, std::function< void(const EventObject &)> function) 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

void	Register () const override

void	RemoveAllObservers ()

void	RemoveObserver (unsigned long tag)

void	SetDebug (bool debugFlag) const

void	SetReferenceCount (int) override

void	UnRegister () const noexcept override

void	SetMetaDataDictionary (const MetaDataDictionary &rhs)

void	SetMetaDataDictionary (MetaDataDictionary &&rrhs)

virtual void	SetObjectName (std::string _arg)

virtual const std::string &	GetObjectName () const

Public Member Functions inherited from itk::LightObject
Pointer	Clone () const

virtual void	Delete ()

virtual int	GetReferenceCount () const

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 val)

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

static Pointer	New ()

Static Public Attributes
static constexpr unsigned int	ConstantVelocityFieldDimension = NDimensions

static constexpr unsigned int	Dimension = NDimensions

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

static constexpr unsigned int	Dimension = NDimensions

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

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

static constexpr unsigned int	OutputSpaceDimension

using	GaussianSmoothingOperatorType = GaussianOperator< ScalarType, NDimensions >

using	GaussianSmoothingSmootherType = VectorNeighborhoodOperatorImageFilter< ConstantVelocityFieldType, ConstantVelocityFieldType >

GaussianSmoothingOperatorType	m_GaussianSmoothingOperator

ScalarType	m_GaussianSmoothingVarianceForTheUpdateField

ScalarType	m_GaussianSmoothingVarianceForTheConstantVelocityField

virtual void	SetGaussianSmoothingVarianceForTheConstantVelocityField (ScalarType _arg)

virtual ScalarType	GetGaussianSmoothingVarianceForTheConstantVelocityField () const

virtual void	SetGaussianSmoothingVarianceForTheUpdateField (ScalarType _arg)

virtual ScalarType	GetGaussianSmoothingVarianceForTheUpdateField () const

	GaussianExponentialDiffeomorphicTransform ()

	~GaussianExponentialDiffeomorphicTransform () override=default

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

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

	~ConstantVelocityFieldTransform () override=default

LightObject::Pointer	InternalClone () const override

DisplacementFieldType::Pointer	CopyDisplacementField (const DisplacementFieldType *) const

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

	~DisplacementFieldTransform () override=default

Protected Member Functions inherited from itk::Transform< TParametersValueType, NDimensions, NDimensions >
LightObject::Pointer	InternalClone () const override

	Transform ()

	Transform (NumberOfParametersType numberOfParameters)

	~Transform () override=default

OutputDiffusionTensor3DType	PreservationOfPrincipalDirectionDiffusionTensor3DReorientation (const InputDiffusionTensor3DType &, const InverseJacobianPositionType &) const

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

	~TransformBaseTemplate () override=default

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

	~Object () override

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

virtual void	SetTimeStamp (const TimeStamp &timeStamp)

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 ()

Protected Attributes inherited from itk::ConstantVelocityFieldTransform< TParametersValueType, NDimensions >
ConstantVelocityFieldPointer	m_ConstantVelocityField

bool	m_CalculateNumberOfIntegrationStepsAutomatically { false }

ConstantVelocityFieldInterpolatorPointer	m_ConstantVelocityFieldInterpolator

ModifiedTimeType	m_ConstantVelocityFieldSetTime { 0 }

ScalarType	m_LowerTimeBound

ScalarType	m_UpperTimeBound

unsigned int	m_NumberOfIntegrationSteps

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

DisplacementFieldType::Pointer	m_InverseDisplacementField

InterpolatorType::Pointer	m_Interpolator

InterpolatorType::Pointer	m_InverseInterpolator

ModifiedTimeType	m_DisplacementFieldSetTime { 0 }

JacobianType	m_IdentityJacobian

Protected Attributes inherited from itk::Transform< TParametersValueType, NDimensions, NDimensions >
ParametersType	m_Parameters

FixedParametersType	m_FixedParameters

DirectionChangeMatrix	m_DirectionChange

Protected Attributes inherited from itk::LightObject
std::atomic< int >	m_ReferenceCount

Detailed Description

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

Exponential transform using a Gaussian 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 Gaussian smoothing, $S_{update}$ defined by GaussianSmoothingVarianceForTheUpdateField 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 itkGaussianExponentialDiffeomorphicTransform.h.