#include <itkKernelTransform.h>

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

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

Public Types
using	ConstPointer = SmartPointer< const Self >

using	FixedParametersType = typename Superclass::FixedParametersType

using	InputCovariantVectorType = typename Superclass::InputCovariantVectorType

using	InputPointType = typename Superclass::InputPointType

using	InputVectorType = typename Superclass::InputVectorType

using	InputVnlVectorType = typename Superclass::InputVnlVectorType

using	InverseJacobianPositionType = typename Superclass::InverseJacobianPositionType

using	JacobianPositionType = typename Superclass::JacobianPositionType

using	JacobianType = typename Superclass::JacobianType

using	NumberOfParametersType = typename Superclass::NumberOfParametersType

using	OutputCovariantVectorType = typename Superclass::OutputCovariantVectorType

using	OutputPointType = typename Superclass::OutputPointType

using	OutputVectorType = typename Superclass::OutputVectorType

using	OutputVnlVectorType = typename Superclass::OutputVnlVectorType

using	ParametersType = typename Superclass::ParametersType

using	Pointer = SmartPointer< Self >

using	PointIdentifier = typename PointSetType::PointIdentifier

using	PointsConstIterator = typename PointSetType::PointsContainerConstIterator

using	PointsContainer = typename PointSetType::PointsContainer

using	PointSetPointer = typename PointSetType::Pointer

using	PointSetTraitsType = DefaultStaticMeshTraits< TParametersValueType, NDimensions, NDimensions, TParametersValueType, TParametersValueType >

using	PointSetType = PointSet< InputPointType, NDimensions, PointSetTraitsType >

using	PointsIterator = typename PointSetType::PointsContainerIterator

using	ScalarType = typename Superclass::ScalarType

using	Self = KernelTransform

using	Superclass = Transform< TParametersValueType, NDimensions, NDimensions >

using	TransformCategoryEnum = typename Superclass::TransformCategoryEnum

using	VectorSetPointer = typename VectorSetType::Pointer

using	VectorSetType = itk::VectorContainer< SizeValueType, InputVectorType >

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 const char *	GetNameOfClass () 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 InverseTransformBasePointer	GetInverseTransform () const

virtual NumberOfParametersType	GetNumberOfFixedParameters () const

virtual NumberOfParametersType	GetNumberOfLocalParameters () 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	SetFixedParameters (const FixedParametersType &) override=0

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)

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::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	SpaceDimension = NDimensions

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

static constexpr unsigned int	OutputSpaceDimension

using	IMatrixType = vnl_matrix_fixed< TParametersValueType, NDimensions, NDimensions >

using	GMatrixType = vnl_matrix_fixed< TParametersValueType, NDimensions, NDimensions >

using	LMatrixType = vnl_matrix< TParametersValueType >

using	KMatrixType = vnl_matrix< TParametersValueType >

using	PMatrixType = vnl_matrix< TParametersValueType >

using	YMatrixType = vnl_matrix< TParametersValueType >

using	WMatrixType = vnl_matrix< TParametersValueType >

using	DMatrixType = vnl_matrix< TParametersValueType >

using	AMatrixType = vnl_matrix_fixed< TParametersValueType, NDimensions, NDimensions >

using	BMatrixType = vnl_vector_fixed< TParametersValueType, NDimensions >

using	RowMatrixType = vnl_matrix_fixed< TParametersValueType, 1, NDimensions >

using	ColumnMatrixType = vnl_matrix_fixed< TParametersValueType, NDimensions, 1 >

double	m_Stiffness

VectorSetPointer	m_Displacements

LMatrixType	m_LMatrix

KMatrixType	m_KMatrix

PMatrixType	m_PMatrix

YMatrixType	m_YMatrix

WMatrixType	m_WMatrix

DMatrixType	m_DMatrix

AMatrixType	m_AMatrix

BMatrixType	m_BVector

GMatrixType	m_GMatrix

bool	m_WMatrixComputed

IMatrixType	m_I

PointSetPointer	m_SourceLandmarks

PointSetPointer	m_TargetLandmarks

virtual PointSetType *	GetModifiableSourceLandmarks ()

virtual const PointSetType *	GetSourceLandmarks () const

virtual void	SetSourceLandmarks (PointSetType *)

virtual PointSetType *	GetModifiableTargetLandmarks ()

virtual const PointSetType *	GetTargetLandmarks () const

virtual void	SetTargetLandmarks (PointSetType *)

virtual VectorSetType *	GetModifiableDisplacements ()

virtual const VectorSetType *	GetDisplacements () const

void	ComputeWMatrix ()

OutputPointType	TransformPoint (const InputPointType &thisPoint) const override

OutputVectorType	TransformVector (const InputVectorType &) const override

OutputVnlVectorType	TransformVector (const InputVnlVectorType &) const override

OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const override

void	ComputeJacobianWithRespectToParameters (const InputPointType &p, JacobianType &jacobian) const override

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

void	SetParameters (const ParametersType &) override

void	SetFixedParameters (const FixedParametersType &) override

virtual void	UpdateParameters () const

const ParametersType &	GetParameters () const override

const FixedParametersType &	GetFixedParameters () const override

TransformCategoryEnum	GetTransformCategory () const override

virtual void	SetStiffness (double _arg)

virtual double	GetStiffness () const

	KernelTransform ()

	~KernelTransform () override=default

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

virtual void	ComputeG (const InputVectorType &landmarkVector, GMatrixType &gmatrix) const

virtual const GMatrixType &	ComputeReflexiveG (PointsIterator) const

virtual void	ComputeDeformationContribution (const InputPointType &thisPoint, OutputPointType &result) const

void	ComputeK ()

void	ComputeL ()

void	ComputeP ()

void	ComputeY ()

void	ComputeD ()

void	ReorganizeW ()

Additional Inherited Members
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::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::KernelTransform< TParametersValueType, NDimensions >

Intended to be a base class for elastic body spline and thin plate spline. This is implemented in as straightforward a manner as possible from the IEEE TMI paper by Davis, Khotanzad, Flamig, and Harms, Vol. 16, No. 3 June 1997. Notation closely follows their paper, so if you have it in front of you, this code will make a lot more sense.

KernelTransform: Provides support for defining source and target landmarks Defines a number of data types used in the computations Defines the mathematical framework used to compute all splines, so that subclasses need only provide a kernel specific to that spline

This formulation allows the stiffness of the spline to be adjusted, allowing the spline to vary from interpolating the landmarks to approximating the landmarks. This part of the formulation is based on the short paper by R. Sprengel, K. Rohr, H. Stiehl. "Thin-Plate Spline Approximation for Image Registration". In 18th International Conference of the IEEE Engineering in Medicine and Biology Society. 1996.

Definition at line 61 of file itkKernelTransform.h.

Member Typedef Documentation

◆ AMatrixType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::AMatrixType = vnl_matrix_fixed<TParametersValueType, NDimensions, NDimensions>

'A' matrix type alias. Rotational part of the Affine component

Definition at line 275 of file itkKernelTransform.h.

◆ BMatrixType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::BMatrixType = vnl_vector_fixed<TParametersValueType, NDimensions>

'B' matrix type alias. Translational part of the Affine component

Definition at line 278 of file itkKernelTransform.h.

◆ ColumnMatrixType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::ColumnMatrixType = vnl_matrix_fixed<TParametersValueType, NDimensions, 1>

Column matrix type alias.

Definition at line 284 of file itkKernelTransform.h.

◆ ConstPointer

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::ConstPointer = SmartPointer<const Self>

Definition at line 70 of file itkKernelTransform.h.

◆ DMatrixType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::DMatrixType = vnl_matrix<TParametersValueType>

'D' matrix type alias. Deformation component

Definition at line 272 of file itkKernelTransform.h.

◆ FixedParametersType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::FixedParametersType = typename Superclass::FixedParametersType

Parameters type.

Definition at line 85 of file itkKernelTransform.h.

◆ GMatrixType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::GMatrixType = vnl_matrix_fixed<TParametersValueType, NDimensions, NDimensions>

'G' matrix type alias.

Definition at line 254 of file itkKernelTransform.h.

◆ IMatrixType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::IMatrixType = vnl_matrix_fixed<TParametersValueType, NDimensions, NDimensions>

'I' (identity) matrix type alias.

Definition at line 181 of file itkKernelTransform.h.

◆ InputCovariantVectorType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::InputCovariantVectorType = typename Superclass::InputCovariantVectorType

Standard covariant vector type for this class

Definition at line 105 of file itkKernelTransform.h.

◆ InputPointType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::InputPointType = typename Superclass::InputPointType

Standard coordinate point type for this class.

Definition at line 97 of file itkKernelTransform.h.

◆ InputVectorType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::InputVectorType = typename Superclass::InputVectorType

Standard vector type for this class.

Definition at line 101 of file itkKernelTransform.h.

◆ InputVnlVectorType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::InputVnlVectorType = typename Superclass::InputVnlVectorType

Standard vnl_vector type for this class.

Definition at line 109 of file itkKernelTransform.h.

◆ InverseJacobianPositionType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::InverseJacobianPositionType = typename Superclass::InverseJacobianPositionType

Definition at line 91 of file itkKernelTransform.h.

◆ JacobianPositionType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::JacobianPositionType = typename Superclass::JacobianPositionType

Definition at line 90 of file itkKernelTransform.h.

◆ JacobianType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::JacobianType = typename Superclass::JacobianType

Jacobian types.

Definition at line 89 of file itkKernelTransform.h.

◆ KMatrixType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::KMatrixType = vnl_matrix<TParametersValueType>

'K' matrix type alias.

Definition at line 260 of file itkKernelTransform.h.

◆ LMatrixType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::LMatrixType = vnl_matrix<TParametersValueType>

'L' matrix type alias.

Definition at line 257 of file itkKernelTransform.h.

◆ NumberOfParametersType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::NumberOfParametersType = typename Superclass::NumberOfParametersType

The number of parameters defining this transform.

Definition at line 113 of file itkKernelTransform.h.

◆ OutputCovariantVectorType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::OutputCovariantVectorType = typename Superclass::OutputCovariantVectorType

Definition at line 106 of file itkKernelTransform.h.

◆ OutputPointType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::OutputPointType = typename Superclass::OutputPointType

Definition at line 98 of file itkKernelTransform.h.

◆ OutputVectorType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::OutputVectorType = typename Superclass::OutputVectorType

Definition at line 102 of file itkKernelTransform.h.

◆ OutputVnlVectorType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::OutputVnlVectorType = typename Superclass::OutputVnlVectorType

Definition at line 110 of file itkKernelTransform.h.

◆ ParametersType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::ParametersType = typename Superclass::ParametersType

Definition at line 86 of file itkKernelTransform.h.

◆ PMatrixType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::PMatrixType = vnl_matrix<TParametersValueType>

'P' matrix type alias.

Definition at line 263 of file itkKernelTransform.h.

◆ Pointer

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::Pointer = SmartPointer<Self>

Definition at line 69 of file itkKernelTransform.h.

◆ PointIdentifier

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::PointIdentifier = typename PointSetType::PointIdentifier

Definition at line 125 of file itkKernelTransform.h.

◆ PointsConstIterator

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::PointsConstIterator = typename PointSetType::PointsContainerConstIterator

Definition at line 124 of file itkKernelTransform.h.

◆ PointsContainer

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::PointsContainer = typename PointSetType::PointsContainer

Definition at line 122 of file itkKernelTransform.h.

◆ PointSetPointer

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::PointSetPointer = typename PointSetType::Pointer

Definition at line 121 of file itkKernelTransform.h.

◆ PointSetTraitsType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::PointSetTraitsType = DefaultStaticMeshTraits<TParametersValueType, NDimensions, NDimensions, TParametersValueType, TParametersValueType>

PointList type alias. This type is used for maintaining lists of points, specifically, the source and target landmark lists.

Definition at line 118 of file itkKernelTransform.h.

◆ PointSetType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::PointSetType = PointSet<InputPointType, NDimensions, PointSetTraitsType>

Definition at line 119 of file itkKernelTransform.h.

◆ PointsIterator

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::PointsIterator = typename PointSetType::PointsContainerIterator

Definition at line 123 of file itkKernelTransform.h.

◆ RowMatrixType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::RowMatrixType = vnl_matrix_fixed<TParametersValueType, 1, NDimensions>

Row matrix type alias.

Definition at line 281 of file itkKernelTransform.h.

◆ ScalarType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::ScalarType = typename Superclass::ScalarType

Scalar type.

Definition at line 82 of file itkKernelTransform.h.

◆ Self

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::Self = KernelTransform

Standard class type aliases.

Definition at line 67 of file itkKernelTransform.h.

◆ Superclass

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::Superclass = Transform<TParametersValueType, NDimensions, NDimensions>

Definition at line 68 of file itkKernelTransform.h.

◆ TransformCategoryEnum

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::TransformCategoryEnum = typename Superclass::TransformCategoryEnum

Transform category type.

Definition at line 94 of file itkKernelTransform.h.

◆ VectorSetPointer

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::VectorSetPointer = typename VectorSetType::Pointer

Definition at line 129 of file itkKernelTransform.h.

◆ VectorSetType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::VectorSetType = itk::VectorContainer<SizeValueType, InputVectorType>

VectorSet type alias.

Definition at line 128 of file itkKernelTransform.h.

◆ WMatrixType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::WMatrixType = vnl_matrix<TParametersValueType>

'W' matrix type alias.

Definition at line 269 of file itkKernelTransform.h.

◆ YMatrixType

template<typename TParametersValueType , unsigned int NDimensions>

using itk::KernelTransform< TParametersValueType, NDimensions >::YMatrixType = vnl_matrix<TParametersValueType>

'Y' matrix type alias.

Definition at line 266 of file itkKernelTransform.h.

Constructor & Destructor Documentation

◆ KernelTransform()

template<typename TParametersValueType , unsigned int NDimensions>

itk::KernelTransform< TParametersValueType, NDimensions >::KernelTransform ( )

protected

'I' (identity) matrix type alias.

◆ ~KernelTransform()

template<typename TParametersValueType , unsigned int NDimensions>

itk::KernelTransform< TParametersValueType, NDimensions >::~KernelTransform ( )

overrideprotecteddefault

'I' (identity) matrix type alias.

Member Function Documentation

◆ ComputeD()

template<typename TParametersValueType , unsigned int NDimensions>

void itk::KernelTransform< TParametersValueType, NDimensions >::ComputeD ( )

protected

Compute displacements $ q_i - p_i $ .

◆ ComputeDeformationContribution()

template<typename TParametersValueType , unsigned int NDimensions>

virtual void itk::KernelTransform< TParametersValueType, NDimensions >::ComputeDeformationContribution	(	const InputPointType &	thisPoint,
		OutputPointType &	result
	)		const

protectedvirtual

Compute the contribution of the landmarks weighted by the kernel function to the global deformation of the space

Reimplemented in itk::ThinPlateR2LogRSplineKernelTransform< TParametersValueType, NDimensions >, itk::ThinPlateSplineKernelTransform< TParametersValueType, NDimensions >, and itk::VolumeSplineKernelTransform< TParametersValueType, NDimensions >.

◆ ComputeG()

template<typename TParametersValueType , unsigned int NDimensions>

virtual void itk::KernelTransform< TParametersValueType, NDimensions >::ComputeG	(	const InputVectorType &	landmarkVector,
		GMatrixType &	gmatrix
	)		const

protectedvirtual

Compute G(x) This is essentially the kernel of the transform. By overriding this method, we can obtain (among others): Elastic body spline Thin plate spline Volume spline

Reimplemented in itk::ThinPlateR2LogRSplineKernelTransform< TParametersValueType, NDimensions >, itk::ThinPlateSplineKernelTransform< TParametersValueType, NDimensions >, and itk::VolumeSplineKernelTransform< TParametersValueType, NDimensions >.

◆ ComputeJacobianWithRespectToParameters()

template<typename TParametersValueType , unsigned int NDimensions>

void itk::KernelTransform< TParametersValueType, NDimensions >::ComputeJacobianWithRespectToParameters	(	const InputPointType &	p,
		JacobianType &	jacobian
	)		const

override

Compute the Jacobian Matrix of the transformation at one point

◆ ComputeJacobianWithRespectToPosition()

template<typename TParametersValueType , unsigned int NDimensions>

void itk::KernelTransform< TParametersValueType, NDimensions >::ComputeJacobianWithRespectToPosition	(	const InputPointType &	,
		JacobianPositionType &
	)		const

inlineoverride

'I' (identity) matrix type alias.

Definition at line 188 of file itkKernelTransform.h.

◆ ComputeK()

template<typename TParametersValueType , unsigned int NDimensions>

void itk::KernelTransform< TParametersValueType, NDimensions >::ComputeK ( )

protected

Compute K matrix.

◆ ComputeL()

template<typename TParametersValueType , unsigned int NDimensions>

void itk::KernelTransform< TParametersValueType, NDimensions >::ComputeL ( )

protected

Compute L matrix.

◆ ComputeP()

template<typename TParametersValueType , unsigned int NDimensions>

void itk::KernelTransform< TParametersValueType, NDimensions >::ComputeP ( )

protected

Compute P matrix.

◆ ComputeReflexiveG()

template<typename TParametersValueType , unsigned int NDimensions>

virtual const GMatrixType& itk::KernelTransform< TParametersValueType, NDimensions >::ComputeReflexiveG ( PointsIterator ) const

protectedvirtual

Compute a G(x) for a point to itself (i.e. for the block diagonal elements of the matrix K. Parameter indicates for which landmark the reflexive G is to be computed. The default implementation for the reflexive contribution is a diagonal matrix where the diagonal elements are the stiffness of the spline.

Warning: this method is not thread-safe. However this method is called only through ComputeWMatrix() that is itself normally called from a single thread during the initialization of the Transform.

◆ ComputeWMatrix()

template<typename TParametersValueType , unsigned int NDimensions>

void itk::KernelTransform< TParametersValueType, NDimensions >::ComputeWMatrix ( )

Compute W matrix.

◆ ComputeY()

template<typename TParametersValueType , unsigned int NDimensions>

void itk::KernelTransform< TParametersValueType, NDimensions >::ComputeY ( )

protected

Compute Y matrix.

◆ CreateAnother()

template<typename TParametersValueType , unsigned int NDimensions>

virtual::itk::LightObject::Pointer itk::KernelTransform< TParametersValueType, NDimensions >::CreateAnother ( ) const

virtual

Create an object from an instance, potentially deferring to a factory. This method allows you to create an instance of an object that is exactly the same type as the referring object. This is useful in cases where an object has been cast back to a base class.

Reimplemented from itk::Object.

Reimplemented in itk::ThinPlateR2LogRSplineKernelTransform< TParametersValueType, NDimensions >, itk::ThinPlateSplineKernelTransform< TParametersValueType, NDimensions >, and itk::VolumeSplineKernelTransform< TParametersValueType, NDimensions >.

◆ GetDisplacements()

template<typename TParametersValueType , unsigned int NDimensions>

virtual const VectorSetType* itk::KernelTransform< TParametersValueType, NDimensions >::GetDisplacements ( ) const

virtual

'I' (identity) matrix type alias.

◆ GetFixedParameters()

template<typename TParametersValueType , unsigned int NDimensions>

const FixedParametersType& itk::KernelTransform< TParametersValueType, NDimensions >::GetFixedParameters ( ) const

overridevirtual

Get Transform Fixed Parameters - Gets the Target Landmarks

Implements itk::TransformBaseTemplate< TParametersValueType >.

◆ GetModifiableDisplacements()

template<typename TParametersValueType , unsigned int NDimensions>

virtual VectorSetType* itk::KernelTransform< TParametersValueType, NDimensions >::GetModifiableDisplacements ( )

virtual

Get the displacements list, which we will denote $ d $ , where $ d_i = q_i - p_i $ .

◆ GetModifiableSourceLandmarks()

template<typename TParametersValueType , unsigned int NDimensions>

virtual PointSetType* itk::KernelTransform< TParametersValueType, NDimensions >::GetModifiableSourceLandmarks ( )

virtual

Get/Set the source landmarks list, which we will denote $ p $ .

◆ GetModifiableTargetLandmarks()

template<typename TParametersValueType , unsigned int NDimensions>

virtual PointSetType* itk::KernelTransform< TParametersValueType, NDimensions >::GetModifiableTargetLandmarks ( )

virtual

Get the target landmarks list, which we will denote $ q $ .

◆ GetNameOfClass()

template<typename TParametersValueType , unsigned int NDimensions>

virtual const char* itk::KernelTransform< TParametersValueType, NDimensions >::GetNameOfClass ( ) const

virtual

Run-time type information (and related methods).

Reimplemented from itk::Transform< TParametersValueType, NDimensions, NDimensions >.

Reimplemented in itk::ElasticBodySplineKernelTransform< TParametersValueType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TParametersValueType, NDimensions >, itk::ElasticBodyReciprocalSplineKernelTransform< TParametersValueType, NDimensions >, itk::ThinPlateSplineKernelTransform< TParametersValueType, NDimensions >, and itk::VolumeSplineKernelTransform< TParametersValueType, NDimensions >.

◆ GetParameters()

template<typename TParametersValueType , unsigned int NDimensions>

const ParametersType& itk::KernelTransform< TParametersValueType, NDimensions >::GetParameters ( ) const

overridevirtual

Get the Transformation Parameters - Gets the Source Landmarks

Implements itk::TransformBaseTemplate< TParametersValueType >.

◆ GetSourceLandmarks()

template<typename TParametersValueType , unsigned int NDimensions>

virtual const PointSetType* itk::KernelTransform< TParametersValueType, NDimensions >::GetSourceLandmarks ( ) const

virtual

'I' (identity) matrix type alias.

◆ GetStiffness()

template<typename TParametersValueType , unsigned int NDimensions>

virtual double itk::KernelTransform< TParametersValueType, NDimensions >::GetStiffness ( ) const

virtual

'I' (identity) matrix type alias.

◆ GetTargetLandmarks()

template<typename TParametersValueType , unsigned int NDimensions>

virtual const PointSetType* itk::KernelTransform< TParametersValueType, NDimensions >::GetTargetLandmarks ( ) const

virtual

'I' (identity) matrix type alias.

◆ GetTransformCategory()

template<typename TParametersValueType , unsigned int NDimensions>

TransformCategoryEnum itk::KernelTransform< TParametersValueType, NDimensions >::GetTransformCategory ( ) const

inlineoverridevirtual

This transform is not linear, because the transformation of a linear combination of points is not equal to the linear combination of the transformations of individual points

Implements itk::TransformBaseTemplate< TParametersValueType >.

Definition at line 227 of file itkKernelTransform.h.

◆ New()

template<typename TParametersValueType , unsigned int NDimensions>

static Pointer itk::KernelTransform< TParametersValueType, NDimensions >::New ( )

static

New macro for creation of through a Smart Pointer

◆ PrintSelf()

template<typename TParametersValueType , unsigned int NDimensions>

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

overrideprotectedvirtual

'I' (identity) matrix type alias.

Reimplemented from itk::Object.

◆ ReorganizeW()

template<typename TParametersValueType , unsigned int NDimensions>

void itk::KernelTransform< TParametersValueType, NDimensions >::ReorganizeW ( )

protected

Reorganize the components of W into D (deformable), A (rotation part of affine) and B (translational part of affine ) components.

Warning: This method release the memory of the W Matrix

◆ SetFixedParameters()

template<typename TParametersValueType , unsigned int NDimensions>

void itk::KernelTransform< TParametersValueType, NDimensions >::SetFixedParameters ( const FixedParametersType & )

override

Set Transform Fixed Parameters: To support the transform file writer this function was added to set the target landmarks similar to the SetParameters function setting the source landmarks

◆ SetParameters()

template<typename TParametersValueType , unsigned int NDimensions>

void itk::KernelTransform< TParametersValueType, NDimensions >::SetParameters ( const ParametersType & )

override

Set the Transformation Parameters and update the internal transformation. The parameters represent the source landmarks. Each landmark point is represented by NDimensions doubles. All the landmarks are concatenated to form one flat Array<double>.

◆ SetSourceLandmarks()

template<typename TParametersValueType , unsigned int NDimensions>

virtual void itk::KernelTransform< TParametersValueType, NDimensions >::SetSourceLandmarks ( PointSetType * )

virtual

'I' (identity) matrix type alias.

◆ SetStiffness()

template<typename TParametersValueType , unsigned int NDimensions>

virtual void itk::KernelTransform< TParametersValueType, NDimensions >::SetStiffness ( double _arg )

virtual

Stiffness of the spline. A stiffness of zero results in the standard interpolating spline. A non-zero stiffness allows the spline to approximate rather than interpolate the landmarks. Stiffness values are usually rather small, typically in the range of 0.001 to 0.1. The approximating spline formulation is based on the short paper by R. Sprengel, K. Rohr, H. Stiehl. "Thin-Plate Spline Approximation for Image Registration". In 18th International Conference of the IEEE Engineering in Medicine and Biology Society. 1996.

◆ SetTargetLandmarks()

template<typename TParametersValueType , unsigned int NDimensions>

virtual void itk::KernelTransform< TParametersValueType, NDimensions >::SetTargetLandmarks ( PointSetType * )

virtual

'I' (identity) matrix type alias.

◆ TransformCovariantVector()

template<typename TParametersValueType , unsigned int NDimensions>

OutputCovariantVectorType itk::KernelTransform< TParametersValueType, NDimensions >::TransformCovariantVector ( const InputCovariantVectorType & ) const

inlineoverride

'I' (identity) matrix type alias.

Definition at line 173 of file itkKernelTransform.h.

◆ TransformPoint()

template<typename TParametersValueType , unsigned int NDimensions>

OutputPointType itk::KernelTransform< TParametersValueType, NDimensions >::TransformPoint ( const InputPointType & thisPoint ) const

override

Compute the position of point in the new space

◆ TransformVector() [1/2]

template<typename TParametersValueType , unsigned int NDimensions>

OutputVectorType itk::KernelTransform< TParametersValueType, NDimensions >::TransformVector ( const InputVectorType & ) const

inlineoverride

'I' (identity) matrix type alias.

Definition at line 158 of file itkKernelTransform.h.

◆ TransformVector() [2/2]

template<typename TParametersValueType , unsigned int NDimensions>

OutputVnlVectorType itk::KernelTransform< TParametersValueType, NDimensions >::TransformVector ( const InputVnlVectorType & ) const

inlineoverride

'I' (identity) matrix type alias.

Definition at line 165 of file itkKernelTransform.h.

◆ UpdateParameters()

template<typename TParametersValueType , unsigned int NDimensions>

virtual void itk::KernelTransform< TParametersValueType, NDimensions >::UpdateParameters ( ) const

virtual

Update the Parameters array from the landmarks coordinates.

Member Data Documentation

◆ m_AMatrix

template<typename TParametersValueType , unsigned int NDimensions>

AMatrixType itk::KernelTransform< TParametersValueType, NDimensions >::m_AMatrix

protected

Rotatinoal/Shearing part of the Affine component of the Transformation

Definition at line 369 of file itkKernelTransform.h.

◆ m_BVector

template<typename TParametersValueType , unsigned int NDimensions>

BMatrixType itk::KernelTransform< TParametersValueType, NDimensions >::m_BVector

protected

Translational part of the Affine component of the Transformation

Definition at line 372 of file itkKernelTransform.h.

◆ m_Displacements

template<typename TParametersValueType , unsigned int NDimensions>

VectorSetPointer itk::KernelTransform< TParametersValueType, NDimensions >::m_Displacements

protected

The list of displacements. d[i] = q[i] - p[i];

Definition at line 344 of file itkKernelTransform.h.

◆ m_DMatrix

template<typename TParametersValueType , unsigned int NDimensions>

DMatrixType itk::KernelTransform< TParametersValueType, NDimensions >::m_DMatrix

protected

The Deformation matrix. This is an auxiliary matrix that will hold the Deformation (non-affine) part of the transform. Those are the coefficients that will multiply the Kernel function

Definition at line 366 of file itkKernelTransform.h.

◆ m_GMatrix

template<typename TParametersValueType , unsigned int NDimensions>

GMatrixType itk::KernelTransform< TParametersValueType, NDimensions >::m_GMatrix

mutableprotected

The G matrix. It is made mutable because m_GMatrix was made an ivar only to avoid copying the matrix at return time

Definition at line 377 of file itkKernelTransform.h.

◆ m_I

template<typename TParametersValueType , unsigned int NDimensions>

IMatrixType itk::KernelTransform< TParametersValueType, NDimensions >::m_I

protected

Identity matrix.

Definition at line 383 of file itkKernelTransform.h.

◆ m_KMatrix

template<typename TParametersValueType , unsigned int NDimensions>

KMatrixType itk::KernelTransform< TParametersValueType, NDimensions >::m_KMatrix

protected

The K matrix.

Definition at line 350 of file itkKernelTransform.h.

◆ m_LMatrix

template<typename TParametersValueType , unsigned int NDimensions>

LMatrixType itk::KernelTransform< TParametersValueType, NDimensions >::m_LMatrix

protected

The L matrix.

Definition at line 347 of file itkKernelTransform.h.

◆ m_PMatrix

template<typename TParametersValueType , unsigned int NDimensions>

PMatrixType itk::KernelTransform< TParametersValueType, NDimensions >::m_PMatrix

protected

The P matrix.

Definition at line 353 of file itkKernelTransform.h.

◆ m_SourceLandmarks

template<typename TParametersValueType , unsigned int NDimensions>

PointSetPointer itk::KernelTransform< TParametersValueType, NDimensions >::m_SourceLandmarks

protected

The list of source landmarks, denoted 'p'.

Definition at line 386 of file itkKernelTransform.h.

◆ m_Stiffness

template<typename TParametersValueType , unsigned int NDimensions>

double itk::KernelTransform< TParametersValueType, NDimensions >::m_Stiffness

protected

Stiffness parameter

Definition at line 340 of file itkKernelTransform.h.

◆ m_TargetLandmarks

template<typename TParametersValueType , unsigned int NDimensions>

PointSetPointer itk::KernelTransform< TParametersValueType, NDimensions >::m_TargetLandmarks

protected

The list of target landmarks, denoted 'q'.

Definition at line 389 of file itkKernelTransform.h.

◆ m_WMatrix

template<typename TParametersValueType , unsigned int NDimensions>

WMatrixType itk::KernelTransform< TParametersValueType, NDimensions >::m_WMatrix

protected

The W matrix.

Definition at line 359 of file itkKernelTransform.h.

◆ m_WMatrixComputed

template<typename TParametersValueType , unsigned int NDimensions>

bool itk::KernelTransform< TParametersValueType, NDimensions >::m_WMatrixComputed

protected

Has the W matrix been computed?

Definition at line 380 of file itkKernelTransform.h.

◆ m_YMatrix

template<typename TParametersValueType , unsigned int NDimensions>

YMatrixType itk::KernelTransform< TParametersValueType, NDimensions >::m_YMatrix

protected

The Y matrix.

Definition at line 356 of file itkKernelTransform.h.

◆ SpaceDimension

template<typename TParametersValueType , unsigned int NDimensions>

constexpr unsigned int itk::KernelTransform< TParametersValueType, NDimensions >::SpaceDimension = NDimensions

staticconstexpr

Dimension of the domain space.

Definition at line 79 of file itkKernelTransform.h.

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

itkKernelTransform.h

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Additional Inherited Members

Detailed Description

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

Member Typedef Documentation

◆ AMatrixType

◆ BMatrixType

◆ ColumnMatrixType

◆ ConstPointer

◆ DMatrixType

◆ FixedParametersType

◆ GMatrixType

◆ IMatrixType

◆ InputCovariantVectorType

◆ InputPointType

◆ InputVectorType

◆ InputVnlVectorType

◆ InverseJacobianPositionType

◆ JacobianPositionType

◆ JacobianType

◆ KMatrixType

◆ LMatrixType

◆ NumberOfParametersType

◆ OutputCovariantVectorType

◆ OutputPointType

◆ OutputVectorType

◆ OutputVnlVectorType

◆ ParametersType

◆ PMatrixType

◆ Pointer

◆ PointIdentifier

◆ PointsConstIterator

◆ PointsContainer

◆ PointSetPointer

◆ PointSetTraitsType

◆ PointSetType

◆ PointsIterator

◆ RowMatrixType

◆ ScalarType

◆ Self

◆ Superclass

◆ TransformCategoryEnum

◆ VectorSetPointer

◆ VectorSetType

◆ WMatrixType

◆ YMatrixType

Constructor & Destructor Documentation

◆ KernelTransform()

◆ ~KernelTransform()

Member Function Documentation

◆ ComputeD()

◆ ComputeDeformationContribution()

◆ ComputeG()

◆ ComputeJacobianWithRespectToParameters()

◆ ComputeJacobianWithRespectToPosition()

◆ ComputeK()

◆ ComputeL()

◆ ComputeP()

◆ ComputeReflexiveG()

◆ ComputeWMatrix()

◆ ComputeY()

◆ CreateAnother()

◆ GetDisplacements()

◆ GetFixedParameters()

◆ GetModifiableDisplacements()

◆ GetModifiableSourceLandmarks()

◆ GetModifiableTargetLandmarks()

◆ GetNameOfClass()

◆ GetParameters()

◆ GetSourceLandmarks()

◆ GetStiffness()

◆ GetTargetLandmarks()

◆ GetTransformCategory()

◆ New()

◆ PrintSelf()

◆ ReorganizeW()

◆ SetFixedParameters()

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