#include <itkGaussianExponentialDiffeomorphicTransform.h>

Detailed Description

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

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.

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

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

Public Types
using	ConstPointer = SmartPointer< const Self >

using	DerivativeValueType = typename DerivativeType::ValueType

using	DisplacementVectorType = typename DisplacementFieldType::PixelType

using	Pointer = SmartPointer< Self >

using	Self = GaussianExponentialDiffeomorphicTransform

using	Superclass = ConstantVelocityFieldTransform< TParametersValueType, VDimension >

Public Types inherited from itk::ConstantVelocityFieldTransform< TParametersValueType, VDimension >
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	DirectionType = typename ConstantVelocityFieldType::DirectionType

using	DisplacementFieldPointer = typename DisplacementFieldType::Pointer

using	IndexType = typename ConstantVelocityFieldType::IndexType

using	OptimizerParametersHelperType = ImageVectorOptimizerParametersHelper< ScalarType, Dimension, ConstantVelocityFieldDimension >

using	PixelType = typename ConstantVelocityFieldType::PixelType

using	Pointer = SmartPointer< Self >

using	PointType = typename ConstantVelocityFieldType::PointType

using	RegionType = typename ConstantVelocityFieldType::RegionType

using	Self = ConstantVelocityFieldTransform

using	SizeType = typename ConstantVelocityFieldType::SizeType

using	SpacingType = typename ConstantVelocityFieldType::SpacingType

using	Superclass = DisplacementFieldTransform< TParametersValueType, VDimension >

using	VelocityFieldType = ConstantVelocityFieldType

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

using	DirectionType = typename DisplacementFieldType::DirectionType

using	DisplacementFieldConstPointer = typename DisplacementFieldType::ConstPointer

using	DisplacementFieldPointer = typename DisplacementFieldType::Pointer

using	DisplacementFieldType = Image< OutputVectorType, Dimension >

using	IndexType = typename DisplacementFieldType::IndexType

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

using	InterpolatorType = VectorInterpolateImageFunction< DisplacementFieldType, ScalarType >

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

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

using	PixelType = typename DisplacementFieldType::PixelType

using	Pointer = SmartPointer< Self >

using	PointType = typename DisplacementFieldType::PointType

using	RegionType = typename DisplacementFieldType::RegionType

using	Self = DisplacementFieldTransform

using	SizeType = typename DisplacementFieldType::SizeType

using	SpacingType = typename DisplacementFieldType::SpacingType

using	Superclass = Transform< TParametersValueType, VDimension, VDimension >

using	VectorImageDisplacementFieldType = VectorImage< TParametersValueType, Dimension >

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

using	DerivativeType = Array< ParametersValueType >

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

using	InputCovariantVectorType = CovariantVector< TParametersValueType, VInputDimension >

using	InputDiffusionTensor3DType = DiffusionTensor3D< TParametersValueType >

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

using	InputPointType = Point< TParametersValueType, VInputDimension >

using	InputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< TParametersValueType, VInputDimension >

using	InputVectorPixelType = VariableLengthVector< TParametersValueType >

using	InputVectorType = Vector< TParametersValueType, VInputDimension >

using	InputVnlVectorType = vnl_vector_fixed< TParametersValueType, VInputDimension >

using	InverseJacobianPositionType = vnl_matrix_fixed< ParametersValueType, VInputDimension, VOutputDimension >

using	InverseTransformBasePointer = typename InverseTransformBaseType::Pointer

using	InverseTransformBaseType = Transform< TParametersValueType, VOutputDimension, VInputDimension >

using	JacobianPositionType = vnl_matrix_fixed< ParametersValueType, VOutputDimension, VInputDimension >

using	JacobianType = Array2D< ParametersValueType >

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

using	OutputCovariantVectorType = CovariantVector< TParametersValueType, VOutputDimension >

using	OutputDiffusionTensor3DType = DiffusionTensor3D< TParametersValueType >

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

using	OutputPointType = Point< TParametersValueType, VOutputDimension >

using	OutputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< TParametersValueType, VOutputDimension >

using	OutputVectorPixelType = VariableLengthVector< TParametersValueType >

using	OutputVectorType = Vector< TParametersValueType, VOutputDimension >

using	OutputVnlVectorType = vnl_vector_fixed< TParametersValueType, VOutputDimension >

using	Pointer = SmartPointer< Self >

using	ScalarType = ParametersValueType

using	Self = Transform

using	Superclass = TransformBaseTemplate< TParametersValueType >

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 ConstantVelocityFieldPointer	GaussianSmoothConstantVelocityField (ConstantVelocityFieldType *, ScalarType)

const char *	GetNameOfClass () const override

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


virtual void	SetGaussianSmoothingVarianceForTheConstantVelocityField (ScalarType _arg)

virtual ScalarType	GetGaussianSmoothingVarianceForTheConstantVelocityField () const


virtual void	SetGaussianSmoothingVarianceForTheUpdateField (ScalarType _arg)

virtual ScalarType	GetGaussianSmoothingVarianceForTheUpdateField () const

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

virtual bool	GetCalculateNumberOfIntegrationStepsAutomatically () const

virtual const ModifiedTimeType &	GetConstantVelocityFieldSetTime () const

bool	GetInverse (Self *inverse) const

InverseTransformBasePointer	GetInverseTransform () const override

virtual ScalarType	GetLowerTimeBound () const

const char *	GetNameOfClass () const override

virtual unsigned int	GetNumberOfIntegrationSteps () const

virtual ScalarType	GetUpperTimeBound () const

virtual void	IntegrateVelocityField ()

virtual void	SetCalculateNumberOfIntegrationStepsAutomatically (bool _arg)

void	SetFixedParameters (const FixedParametersType &) override

virtual void	SetLowerTimeBound (ScalarType _arg)

virtual void	SetNumberOfIntegrationSteps (unsigned int _arg)

virtual void	SetUpperTimeBound (ScalarType _arg)

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

virtual void	SetConstantVelocityField (ConstantVelocityFieldType *)

virtual ConstantVelocityFieldType *	GetModifiableConstantVelocityField ()

virtual void	SetConstantVelocityFieldInterpolator (ConstantVelocityFieldInterpolatorType *)

virtual ConstantVelocityFieldInterpolatorType *	GetModifiableConstantVelocityFieldInterpolator ()

Public Member Functions inherited from itk::DisplacementFieldTransform< TParametersValueType, VDimension >
void	ComputeInverseJacobianWithRespectToPosition (const InputPointType &point, InverseJacobianPositionType &jacobian) const override

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

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

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

virtual const ModifiedTimeType &	GetDisplacementFieldSetTime () const

bool	GetInverse (Self *inverse) const

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

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

InverseTransformBasePointer	GetInverseTransform () const override

const char *	GetNameOfClass () const override

NumberOfParametersType	GetNumberOfLocalParameters () const override

TransformCategoryEnum	GetTransformCategory () const override

void	SetFixedParameters (const FixedParametersType &) override

virtual void	SetIdentity ()

OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &) const override

OutputVectorPixelType	TransformDiffusionTensor (const InputVectorPixelType &) const

OutputPointType	TransformPoint (const InputPointType &inputPoint) const override

OutputVectorPixelType	TransformVector (const InputVectorPixelType &) const override

OutputVnlVectorType	TransformVector (const InputVnlVectorType &) const override

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

virtual void	SetDisplacementField (DisplacementFieldType *field)

virtual void	SetDisplacementField (VectorImageDisplacementFieldType *field)

void	SetDisplacementField (std::nullptr_t)=delete

virtual DisplacementFieldType *	GetModifiableDisplacementField ()

virtual void	SetInverseDisplacementField (DisplacementFieldType *inverseField)

virtual DisplacementFieldType *	GetModifiableInverseDisplacementField ()

virtual void	SetInterpolator (InterpolatorType *interpolator)

virtual InterpolatorType *	GetModifiableInterpolator ()

virtual void	SetInverseInterpolator (InterpolatorType *interpolator)

virtual InterpolatorType *	GetModifiableInverseInterpolator ()

OutputVectorType	TransformVector (const InputVectorType &) const override

OutputDiffusionTensor3DType	TransformDiffusionTensor (const InputDiffusionTensor3DType &) const

OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const override

void	SetParameters (const ParametersType &params) override

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

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

virtual const std::string &	GetInputSpaceName () const

bool	GetInverse (Self *) const

virtual InverseTransformBasePointer	GetInverseTransform () const

const char *	GetNameOfClass () const override

virtual NumberOfParametersType	GetNumberOfFixedParameters () const

virtual NumberOfParametersType	GetNumberOfLocalParameters () const

NumberOfParametersType	GetNumberOfParameters () const override

unsigned int	GetOutputSpaceDimension () const override

virtual const std::string &	GetOutputSpaceName () const

const ParametersType &	GetParameters () const override

TransformCategoryEnum	GetTransformCategory () const override

std::string	GetTransformTypeAsString () const override

virtual bool	IsLinear () const

	itkCloneMacro (Self)

void	SetFixedParameters (const FixedParametersType &) override=0

virtual void	SetInputSpaceName (std::string _arg)

virtual void	SetOutputSpaceName (std::string _arg)

void	SetParameters (const ParametersType &) override=0

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)

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

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

std::enable_if_t< TImage::ImageDimension==VInputDimension &&TImage::ImageDimension==VOutputDimension, void >	ApplyToImageMetadata (TImage *image) const

std::enable_if_t< TImage::ImageDimension==VInputDimension &&TImage::ImageDimension==VOutputDimension, void >	ApplyToImageMetadata (SmartPointer< TImage > image) const

virtual void	CopyInFixedParameters (const FixedParametersValueType const begin, const FixedParametersValueType const end)=0

virtual void	CopyInParameters (const ParametersValueType const begin, const ParametersValueType const end)=0

virtual const FixedParametersType &	GetFixedParameters () const =0

virtual unsigned int	GetInputSpaceDimension () const =0

const char *	GetNameOfClass () const override

virtual NumberOfParametersType	GetNumberOfParameters () const =0

virtual unsigned int	GetOutputSpaceDimension () const =0

virtual const ParametersType &	GetParameters () const =0

virtual TransformCategoryEnum	GetTransformCategory () const =0

virtual std::string	GetTransformTypeAsString () const =0

virtual void	SetFixedParameters (const FixedParametersType &)=0

virtual void	SetParameters (const ParametersType &)=0

virtual void	SetParametersByValue (const ParametersType &p)=0

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

LightObject::Pointer	CreateAnother () const override

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

const char *	GetNameOfClass () const override

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 Pointer	CreateAnother () const

virtual void	Delete ()

virtual const char *	GetNameOfClass () const

virtual int	GetReferenceCount () const

void	Print (std::ostream &os, Indent indent=0) const

virtual void	Register () const

virtual void	SetReferenceCount (int)

virtual void	UnRegister () const noexcept

Static Public Member Functions
static Pointer	New ()

Static Public Member Functions inherited from itk::ConstantVelocityFieldTransform< TParametersValueType, VDimension >
static Pointer	New ()

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

static constexpr unsigned int	Dimension = VDimension

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

static constexpr unsigned int	Dimension = VDimension

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

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

static constexpr unsigned int	OutputSpaceDimension

Protected Types
using	GaussianSmoothingOperatorType = GaussianOperator< ScalarType, VDimension >

using	GaussianSmoothingSmootherType = VectorNeighborhoodOperatorImageFilter< ConstantVelocityFieldType, ConstantVelocityFieldType >

Protected Member Functions
	GaussianExponentialDiffeomorphicTransform ()

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

	~GaussianExponentialDiffeomorphicTransform () override=default

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

DisplacementFieldType::Pointer	CopyDisplacementField (const DisplacementFieldType *) const

LightObject::Pointer	InternalClone () const override

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

	~ConstantVelocityFieldTransform () override=default

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

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

	~DisplacementFieldTransform () override=default

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

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

	Transform ()=default

	Transform (NumberOfParametersType numberOfParameters)

	~Transform () override=default

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

	~TransformBaseTemplate () override=default

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

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

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

virtual void	SetTimeStamp (const TimeStamp &timeStamp)

	~Object () override

Protected Member Functions inherited from itk::LightObject
virtual LightObject::Pointer	InternalClone () const

	LightObject ()

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

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

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

virtual	~LightObject ()

Protected Attributes
GaussianSmoothingOperatorType	m_GaussianSmoothingOperator {}

Protected Attributes inherited from itk::ConstantVelocityFieldTransform< TParametersValueType, VDimension >
bool	m_CalculateNumberOfIntegrationStepsAutomatically { false }

ConstantVelocityFieldPointer	m_ConstantVelocityField {}

ConstantVelocityFieldInterpolatorPointer	m_ConstantVelocityFieldInterpolator {}

ModifiedTimeType	m_ConstantVelocityFieldSetTime { 0 }

ScalarType	m_LowerTimeBound {}

unsigned int	m_NumberOfIntegrationSteps {}

ScalarType	m_UpperTimeBound {}

Protected Attributes inherited from itk::DisplacementFieldTransform< TParametersValueType, VDimension >
DisplacementFieldType::Pointer	m_DisplacementField {}

ModifiedTimeType	m_DisplacementFieldSetTime { 0 }

JacobianType	m_IdentityJacobian {}

InterpolatorType::Pointer	m_Interpolator {}

DisplacementFieldType::Pointer	m_InverseDisplacementField {}

InterpolatorType::Pointer	m_InverseInterpolator {}

Protected Attributes inherited from itk::Transform< TParametersValueType, VDimension, VDimension >
FixedParametersType	m_FixedParameters

ParametersType	m_Parameters

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

Private Attributes
ScalarType	m_GaussianSmoothingVarianceForTheConstantVelocityField {}

ScalarType	m_GaussianSmoothingVarianceForTheUpdateField {}

Additional Inherited Members
Static Protected Member Functions inherited from itk::Transform< TParametersValueType, VDimension, VDimension >
static InverseTransformBasePointer	InvertTransform (const TTransform &transform)

Member Typedef Documentation

◆ ConstPointer

template<typename TParametersValueType , unsigned int VDimension>

using itk::GaussianExponentialDiffeomorphicTransform< TParametersValueType, VDimension >::ConstPointer = SmartPointer<const Self>

Definition at line 66 of file itkGaussianExponentialDiffeomorphicTransform.h.

◆ DerivativeValueType

template<typename TParametersValueType , unsigned int VDimension>

using itk::GaussianExponentialDiffeomorphicTransform< TParametersValueType, VDimension >::DerivativeValueType = typename DerivativeType::ValueType

Definition at line 83 of file itkGaussianExponentialDiffeomorphicTransform.h.

◆ DisplacementVectorType

template<typename TParametersValueType , unsigned int VDimension>

using itk::GaussianExponentialDiffeomorphicTransform< TParametersValueType, VDimension >::DisplacementVectorType = typename DisplacementFieldType::PixelType

Definition at line 90 of file itkGaussianExponentialDiffeomorphicTransform.h.

◆ GaussianSmoothingOperatorType

template<typename TParametersValueType , unsigned int VDimension>

using itk::GaussianExponentialDiffeomorphicTransform< TParametersValueType, VDimension >::GaussianSmoothingOperatorType = GaussianOperator<ScalarType, VDimension>

protected

Type of Gaussian Operator used during smoothing. Define here so we can use a member var during the operation.

Definition at line 126 of file itkGaussianExponentialDiffeomorphicTransform.h.

◆ GaussianSmoothingSmootherType

template<typename TParametersValueType , unsigned int VDimension>

using itk::GaussianExponentialDiffeomorphicTransform< TParametersValueType, VDimension >::GaussianSmoothingSmootherType = VectorNeighborhoodOperatorImageFilter<ConstantVelocityFieldType, ConstantVelocityFieldType>

protected

Definition at line 128 of file itkGaussianExponentialDiffeomorphicTransform.h.

◆ Pointer

template<typename TParametersValueType , unsigned int VDimension>

using itk::GaussianExponentialDiffeomorphicTransform< TParametersValueType, VDimension >::Pointer = SmartPointer<Self>

Definition at line 65 of file itkGaussianExponentialDiffeomorphicTransform.h.

◆ Self

template<typename TParametersValueType , unsigned int VDimension>

using itk::GaussianExponentialDiffeomorphicTransform< TParametersValueType, VDimension >::Self = GaussianExponentialDiffeomorphicTransform

Standard class type aliases.

Definition at line 63 of file itkGaussianExponentialDiffeomorphicTransform.h.

◆ Superclass

template<typename TParametersValueType , unsigned int VDimension>

using itk::GaussianExponentialDiffeomorphicTransform< TParametersValueType, VDimension >::Superclass = ConstantVelocityFieldTransform<TParametersValueType, VDimension>

Definition at line 64 of file itkGaussianExponentialDiffeomorphicTransform.h.

Constructor & Destructor Documentation

◆ GaussianExponentialDiffeomorphicTransform()

template<typename TParametersValueType , unsigned int VDimension>

itk::GaussianExponentialDiffeomorphicTransform< TParametersValueType, VDimension >::GaussianExponentialDiffeomorphicTransform ( )

protected

◆ ~GaussianExponentialDiffeomorphicTransform()

template<typename TParametersValueType , unsigned int VDimension>

itk::GaussianExponentialDiffeomorphicTransform< TParametersValueType, VDimension >::~GaussianExponentialDiffeomorphicTransform ( )

overrideprotecteddefault

Member Function Documentation

◆ GaussianSmoothConstantVelocityField()

template<typename TParametersValueType , unsigned int VDimension>

virtual ConstantVelocityFieldPointer itk::GaussianExponentialDiffeomorphicTransform< TParametersValueType, VDimension >::GaussianSmoothConstantVelocityField	(	ConstantVelocityFieldType *	,
		ScalarType
	)

virtual

Smooth the velocity field in-place.

Warning: Not thread safe. Does its own threading.

◆ GetGaussianSmoothingVarianceForTheConstantVelocityField()

template<typename TParametersValueType , unsigned int VDimension>

virtual ScalarType itk::GaussianExponentialDiffeomorphicTransform< TParametersValueType, VDimension >::GetGaussianSmoothingVarianceForTheConstantVelocityField ( ) const

virtual

Set/Get Gaussian smoothing parameter for the smoothed velocity field.

◆ GetGaussianSmoothingVarianceForTheUpdateField()

template<typename TParametersValueType , unsigned int VDimension>

virtual ScalarType itk::GaussianExponentialDiffeomorphicTransform< TParametersValueType, VDimension >::GetGaussianSmoothingVarianceForTheUpdateField ( ) const

virtual

Set/Get Gaussian smoothing parameter for the smoothed update field.

◆ GetNameOfClass()

template<typename TParametersValueType , unsigned int VDimension>

const char * itk::GaussianExponentialDiffeomorphicTransform< TParametersValueType, VDimension >::GetNameOfClass ( ) const

overridevirtual

See also: LightObject::GetNameOfClass()

Reimplemented from itk::ConstantVelocityFieldTransform< TParametersValueType, VDimension >.

◆ New()

template<typename TParametersValueType , unsigned int VDimension>

static Pointer itk::GaussianExponentialDiffeomorphicTransform< TParametersValueType, VDimension >::New ( )

static

New macro for creation of through a Smart Pointer

◆ PrintSelf()

template<typename TParametersValueType , unsigned int VDimension>

void itk::GaussianExponentialDiffeomorphicTransform< TParametersValueType, VDimension >::PrintSelf	(	std::ostream &	os,
		Indent	indent
	)		const

overrideprotectedvirtual

Methods invoked by Print() to print information about the object including superclasses. Typically not called by the user (use Print() instead) but used in the hierarchical print process to combine the output of several classes.

Reimplemented from itk::ConstantVelocityFieldTransform< TParametersValueType, VDimension >.

◆ SetGaussianSmoothingVarianceForTheConstantVelocityField()

template<typename TParametersValueType , unsigned int VDimension>

virtual void itk::GaussianExponentialDiffeomorphicTransform< TParametersValueType, VDimension >::SetGaussianSmoothingVarianceForTheConstantVelocityField ( ScalarType _arg )

virtual

Set/Get Gaussian smoothing parameter for the smoothed velocity field.

◆ SetGaussianSmoothingVarianceForTheUpdateField()

template<typename TParametersValueType , unsigned int VDimension>

virtual void itk::GaussianExponentialDiffeomorphicTransform< TParametersValueType, VDimension >::SetGaussianSmoothingVarianceForTheUpdateField ( ScalarType _arg )

virtual

Set/Get Gaussian smoothing parameter for the smoothed update field.

◆ UpdateTransformParameters()

template<typename TParametersValueType , unsigned int VDimension>

void itk::GaussianExponentialDiffeomorphicTransform< TParametersValueType, VDimension >::UpdateTransformParameters	(	const DerivativeType &	update,
		ScalarType	factor = `1.0`
	)

overridevirtual

Update the transform's parameters by the values in update. We overwrite the base class implementation as we might want to smooth the update field before adding it to the velocity field

Reimplemented from itk::ConstantVelocityFieldTransform< TParametersValueType, VDimension >.

Member Data Documentation

◆ ConstantVelocityFieldDimension

template<typename TParametersValueType , unsigned int VDimension>

constexpr unsigned int itk::GaussianExponentialDiffeomorphicTransform< TParametersValueType, VDimension >::ConstantVelocityFieldDimension = VDimension

staticconstexpr

Dimension of the velocity field .

Definition at line 75 of file itkGaussianExponentialDiffeomorphicTransform.h.

◆ Dimension

template<typename TParametersValueType , unsigned int VDimension>

constexpr unsigned int itk::GaussianExponentialDiffeomorphicTransform< TParametersValueType, VDimension >::Dimension = VDimension

staticconstexpr

Dimension of the vector spaces.

Definition at line 78 of file itkGaussianExponentialDiffeomorphicTransform.h.

◆ m_GaussianSmoothingOperator

template<typename TParametersValueType , unsigned int VDimension>

GaussianSmoothingOperatorType itk::GaussianExponentialDiffeomorphicTransform< TParametersValueType, VDimension >::m_GaussianSmoothingOperator {}

protected

Definition at line 131 of file itkGaussianExponentialDiffeomorphicTransform.h.

◆ m_GaussianSmoothingVarianceForTheConstantVelocityField

template<typename TParametersValueType , unsigned int VDimension>

ScalarType itk::GaussianExponentialDiffeomorphicTransform< TParametersValueType, VDimension >::m_GaussianSmoothingVarianceForTheConstantVelocityField {}

private

Definition at line 138 of file itkGaussianExponentialDiffeomorphicTransform.h.

◆ m_GaussianSmoothingVarianceForTheUpdateField

template<typename TParametersValueType , unsigned int VDimension>

ScalarType itk::GaussianExponentialDiffeomorphicTransform< TParametersValueType, VDimension >::m_GaussianSmoothingVarianceForTheUpdateField {}

private

Definition at line 137 of file itkGaussianExponentialDiffeomorphicTransform.h.

The documentation for this class was generated from the following file:

itkGaussianExponentialDiffeomorphicTransform.h

Detailed Description

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Types

Protected Member Functions

Protected Attributes

Private Attributes

Additional Inherited Members

Member Typedef Documentation

◆ ConstPointer

◆ DerivativeValueType

◆ DisplacementVectorType

◆ GaussianSmoothingOperatorType

◆ GaussianSmoothingSmootherType

◆ Pointer

◆ Self

◆ Superclass

Constructor & Destructor Documentation

◆ GaussianExponentialDiffeomorphicTransform()

◆ ~GaussianExponentialDiffeomorphicTransform()

Member Function Documentation

◆ GaussianSmoothConstantVelocityField()

◆ GetGaussianSmoothingVarianceForTheConstantVelocityField()

◆ GetGaussianSmoothingVarianceForTheUpdateField()

◆ GetNameOfClass()

◆ New()

◆ PrintSelf()

◆ SetGaussianSmoothingVarianceForTheConstantVelocityField()

◆ SetGaussianSmoothingVarianceForTheUpdateField()

◆ UpdateTransformParameters()

Member Data Documentation

◆ ConstantVelocityFieldDimension

◆ Dimension

◆ m_GaussianSmoothingOperator

◆ m_GaussianSmoothingVarianceForTheConstantVelocityField

◆ m_GaussianSmoothingVarianceForTheUpdateField