#include <itkKernelTransform.h>

Detailed Description

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

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 [31]. Notation closely follows the 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 [119].

Definition at line 59 of file itkKernelTransform.h.

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

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

Public Types
using	AMatrixType = vnl_matrix_fixed<TParametersValueType, VDimension, VDimension>

using	BMatrixType = vnl_vector_fixed<TParametersValueType, VDimension>

using	ColumnMatrixType = vnl_matrix_fixed<TParametersValueType, VDimension, 1>

using	ConstPointer = SmartPointer<const Self>

using	DMatrixType = vnl_matrix<TParametersValueType>

using	GMatrixType = vnl_matrix_fixed<TParametersValueType, VDimension, VDimension>

using	IMatrixType = vnl_matrix_fixed<TParametersValueType, VDimension, VDimension>

using	InputCovariantVectorType

using	InputPointType

using	InputVectorType

using	InputVnlVectorType

using	InverseJacobianPositionType

using	InverseTransformBasePointer = typename Superclass::InverseTransformBasePointer

using	JacobianPositionType

using	JacobianType

using	KMatrixType = vnl_matrix<TParametersValueType>

using	LMatrixType = vnl_matrix<TParametersValueType>

using	OutputCovariantVectorType

using	OutputPointType

using	OutputVectorType

using	OutputVnlVectorType

using	PMatrixType = vnl_matrix<TParametersValueType>

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

using	PointSetType = PointSet<InputPointType, VDimension, PointSetTraitsType>

using	PointsIterator = typename PointSetType::PointsContainerIterator

using	RowMatrixType = vnl_matrix_fixed<TParametersValueType, 1, VDimension>

using	ScalarType

using	Self = KernelTransform

using	Superclass = Transform<TParametersValueType, VDimension, VDimension>

using	VectorSetPointer = typename VectorSetType::Pointer

using	VectorSetType = itk::VectorContainer<InputVectorType>

using	WMatrixType = vnl_matrix<TParametersValueType>

using	YMatrixType = vnl_matrix<TParametersValueType>

Public Types inherited from itk::Transform< TParametersValueType, VDimension, VDimension >
using	ConstPointer

using	ConstPointer

using	DerivativeType

using	DerivativeType

using	DirectionChangeMatrix

using	DirectionChangeMatrix

typedef OptimizerParameters< FixedParametersValueType >	FixedParametersType

using	FixedParametersType

typedef double	FixedParametersValueType

using	FixedParametersValueType

using	InputCovariantVectorType

using	InputCovariantVectorType

using	InputDiffusionTensor3DType

using	InputDiffusionTensor3DType

using	InputDirectionMatrix

using	InputDirectionMatrix

using	InputPointType

using	InputPointType

using	InputSymmetricSecondRankTensorType

using	InputSymmetricSecondRankTensorType

using	InputVectorPixelType

using	InputVectorPixelType

using	InputVectorType

using	InputVectorType

using	InputVnlVectorType

using	InputVnlVectorType

using	InverseJacobianPositionType

using	InverseJacobianPositionType

using	InverseTransformBasePointer

using	InverseTransformBasePointer

using	InverseTransformBaseType

using	InverseTransformBaseType

using	JacobianPositionType

using	JacobianPositionType

using	JacobianType

using	JacobianType

using	MatrixType

using	MatrixType

typedef IdentifierType	NumberOfParametersType

using	NumberOfParametersType

using	OutputCovariantVectorType

using	OutputCovariantVectorType

using	OutputDiffusionTensor3DType

using	OutputDiffusionTensor3DType

using	OutputDirectionMatrix

using	OutputDirectionMatrix

using	OutputPointType

using	OutputPointType

using	OutputSymmetricSecondRankTensorType

using	OutputSymmetricSecondRankTensorType

using	OutputVectorPixelType

using	OutputVectorPixelType

using	OutputVectorType

using	OutputVectorType

using	OutputVnlVectorType

using	OutputVnlVectorType

typedef OptimizerParameters< ParametersValueType >	ParametersType

using	ParametersType

typedef TParametersValueType	ParametersValueType

using	ParametersValueType

using	Pointer

using	Pointer

using	ScalarType

using	ScalarType

using	Self

using	Self

using	Superclass

using	Superclass

typedef TransformBaseTemplateEnums::TransformCategory	TransformCategoryEnum

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

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

void	ComputeWMatrix ()

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

virtual const VectorSetType *	GetDisplacements () const

const FixedParametersType &	GetFixedParameters () const override

template<typename TTransform>
bool	GetInverse (SmartPointer< TTransform > inverseTransform) const

template<typename TTransform>
bool	GetInverse (TTransform *inverseTransform) const

InverseTransformBasePointer	GetInverseTransform () const override

virtual VectorSetType *	GetModifiableDisplacements ()

virtual const char *	GetNameOfClass () const

const ParametersType &	GetParameters () const override

TransformCategoryEnum	GetTransformCategory () const override

void	SetFixedParameters (const FixedParametersType &) override

void	SetParameters (const ParametersType &) override

OutputPointType	TransformPoint (const InputPointType &thisPoint) const override

OutputVnlVectorType	TransformVector (const InputVnlVectorType &) const override

virtual void	UpdateParameters () const


virtual PointSetType *	GetModifiableSourceLandmarks ()

virtual const PointSetType *	GetSourceLandmarks () const

virtual void	SetSourceLandmarks (PointSetType *)


virtual PointSetType *	GetModifiableTargetLandmarks ()

virtual const PointSetType *	GetTargetLandmarks () const

virtual void	SetTargetLandmarks (PointSetType *)


OutputVectorType	TransformVector (const InputVectorType &) const override

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

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

virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &vector) const

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


OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const override

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

virtual OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &vector) const

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


virtual void	SetStiffness (double _arg)

virtual double	GetStiffness () const

Public Member Functions inherited from itk::Transform< TParametersValueType, VDimension, VDimension >
virtual void	ComputeInverseJacobianWithRespectToPosition (const InputPointType &pnt, InverseJacobianPositionType &jacobian) const

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

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

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

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

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

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

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

const FixedParametersType &	GetFixedParameters () const override

const FixedParametersType &	GetFixedParameters () const override

unsigned int	GetInputSpaceDimension () const override

unsigned int	GetInputSpaceDimension () const override

bool	GetInverse (Self *inverseTransform) const

bool	GetInverse (Self *inverseTransform) const

virtual NumberOfParametersType	GetNumberOfFixedParameters () const

virtual NumberOfParametersType	GetNumberOfFixedParameters () const

virtual NumberOfParametersType	GetNumberOfLocalParameters () const

virtual NumberOfParametersType	GetNumberOfLocalParameters () const

NumberOfParametersType	GetNumberOfParameters () const override

NumberOfParametersType	GetNumberOfParameters () const override

unsigned int	GetOutputSpaceDimension () const override

unsigned int	GetOutputSpaceDimension () const override

const ParametersType &	GetParameters () const override

const ParametersType &	GetParameters () const override

TransformCategoryEnum	GetTransformCategory () const override

TransformCategoryEnum	GetTransformCategory () const override

std::string	GetTransformTypeAsString () const override

std::string	GetTransformTypeAsString () const override

virtual bool	IsLinear () const

virtual bool	IsLinear () const

	itkCloneMacro (Self)

	itkCloneMacro (Self)

void	SetParametersByValue (const ParametersType &p) override

void	SetParametersByValue (const ParametersType &p) override

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

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

virtual OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &tensor) const

virtual OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &tensor) const

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

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

virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &tensor) const

virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &tensor) const

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

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

virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &tensor) const

virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &tensor) const

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

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

virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &tensor) const

virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &tensor) const

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

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

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

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

Public Member Functions inherited from itk::TransformBaseTemplate< TParametersValueType >
virtual const std::string &	GetInputSpaceName () const

virtual const std::string &	GetOutputSpaceName () const

virtual void	SetInputSpaceName (std::string _arg)

virtual void	SetOutputSpaceName (std::string _arg)

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

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) const

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 = VDimension

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

static constexpr unsigned int	InputSpaceDimension

static constexpr unsigned int	OutputSpaceDimension

static constexpr unsigned int	OutputSpaceDimension

Protected Member Functions
void	ComputeD ()

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

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

void	ComputeK ()

void	ComputeL ()

void	ComputeP ()

virtual const GMatrixType &	ComputeReflexiveG (PointsIterator) const

void	ComputeY ()

	KernelTransform ()

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

void	ReorganizeW ()

	~KernelTransform () override=default

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

LightObject::Pointer	InternalClone () const override

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

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

	Transform ()=default

	Transform ()=default

	Transform (NumberOfParametersType numberOfParameters)

	Transform (NumberOfParametersType numberOfParameters)

	~Transform () override=default

	~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
	LightObject ()

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

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

virtual	~LightObject ()

Protected Attributes
AMatrixType	m_AMatrix {}

BMatrixType	m_BVector {}

VectorSetPointer	m_Displacements { VectorSetType::New() }

DMatrixType	m_DMatrix {}

GMatrixType	m_GMatrix {}

IMatrixType	m_I {}

KMatrixType	m_KMatrix {}

LMatrixType	m_LMatrix {}

PMatrixType	m_PMatrix {}

PointSetPointer	m_SourceLandmarks { PointSetType::New() }

double	m_Stiffness {}

PointSetPointer	m_TargetLandmarks { PointSetType::New() }

WMatrixType	m_WMatrix {}

bool	m_WMatrixComputed {}

YMatrixType	m_YMatrix {}

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

FixedParametersType	m_FixedParameters

ParametersType	m_Parameters

ParametersType	m_Parameters

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

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

static InverseTransformBasePointer	InvertTransform (const TTransform &transform)

Member Typedef Documentation

◆ AMatrixType

template<typename TParametersValueType, unsigned int VDimension>

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

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

Definition at line 292 of file itkKernelTransform.h.

◆ BMatrixType

template<typename TParametersValueType, unsigned int VDimension>

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

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

Definition at line 295 of file itkKernelTransform.h.

◆ ColumnMatrixType

template<typename TParametersValueType, unsigned int VDimension>

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

Column matrix type alias.

Definition at line 301 of file itkKernelTransform.h.

◆ ConstPointer

template<typename TParametersValueType, unsigned int VDimension>

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

Definition at line 68 of file itkKernelTransform.h.

◆ DMatrixType

template<typename TParametersValueType, unsigned int VDimension>

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

'D' matrix type alias. Deformation component

Definition at line 289 of file itkKernelTransform.h.

◆ GMatrixType

template<typename TParametersValueType, unsigned int VDimension>

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

'G' matrix type alias.

Definition at line 271 of file itkKernelTransform.h.

◆ IMatrixType

template<typename TParametersValueType, unsigned int VDimension>

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

'I' (identity) matrix type alias.

Definition at line 179 of file itkKernelTransform.h.

◆ InputCovariantVectorType

template<typename TParametersValueType, unsigned int VDimension>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::InputCovariantVectorType

Standard covariant vector type for this class

Definition at line 151 of file itkTransform.h.

◆ InputPointType

template<typename TParametersValueType, unsigned int VDimension>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::InputPointType

Standard coordinate point type for this class

Definition at line 159 of file itkTransform.h.

◆ InputVectorType

template<typename TParametersValueType, unsigned int VDimension>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::InputVectorType

Standard vector type for this class.

Definition at line 134 of file itkTransform.h.

◆ InputVnlVectorType

template<typename TParametersValueType, unsigned int VDimension>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::InputVnlVectorType

Standard vnl_vector type for this class.

Definition at line 155 of file itkTransform.h.

◆ InverseJacobianPositionType

template<typename TParametersValueType, unsigned int VDimension>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::InverseJacobianPositionType

Definition at line 131 of file itkTransform.h.

◆ InverseTransformBasePointer

template<typename TParametersValueType, unsigned int VDimension>

using itk::KernelTransform< TParametersValueType, VDimension >::InverseTransformBasePointer = typename Superclass::InverseTransformBasePointer

Definition at line 243 of file itkKernelTransform.h.

◆ JacobianPositionType

template<typename TParametersValueType, unsigned int VDimension>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::JacobianPositionType

Definition at line 130 of file itkTransform.h.

◆ JacobianType

template<typename TParametersValueType, unsigned int VDimension>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::JacobianType

Type of the Jacobian matrix.

Definition at line 129 of file itkTransform.h.

◆ KMatrixType

template<typename TParametersValueType, unsigned int VDimension>

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

'K' matrix type alias.

Definition at line 277 of file itkKernelTransform.h.

◆ LMatrixType

template<typename TParametersValueType, unsigned int VDimension>

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

'L' matrix type alias.

Definition at line 274 of file itkKernelTransform.h.

◆ OutputCovariantVectorType

template<typename TParametersValueType, unsigned int VDimension>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::OutputCovariantVectorType

Definition at line 152 of file itkTransform.h.

◆ OutputPointType

template<typename TParametersValueType, unsigned int VDimension>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::OutputPointType

Definition at line 160 of file itkTransform.h.

◆ OutputVectorType

template<typename TParametersValueType, unsigned int VDimension>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::OutputVectorType

Definition at line 135 of file itkTransform.h.

◆ OutputVnlVectorType

template<typename TParametersValueType, unsigned int VDimension>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::OutputVnlVectorType

Definition at line 156 of file itkTransform.h.

◆ PMatrixType

template<typename TParametersValueType, unsigned int VDimension>

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

'P' matrix type alias.

Definition at line 280 of file itkKernelTransform.h.

◆ Pointer

template<typename TParametersValueType, unsigned int VDimension>

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

Definition at line 67 of file itkKernelTransform.h.

◆ PointIdentifier

template<typename TParametersValueType, unsigned int VDimension>

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

Definition at line 123 of file itkKernelTransform.h.

◆ PointsConstIterator

template<typename TParametersValueType, unsigned int VDimension>

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

Definition at line 122 of file itkKernelTransform.h.

◆ PointsContainer

template<typename TParametersValueType, unsigned int VDimension>

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

Definition at line 120 of file itkKernelTransform.h.

◆ PointSetPointer

template<typename TParametersValueType, unsigned int VDimension>

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

Definition at line 119 of file itkKernelTransform.h.

◆ PointSetTraitsType

template<typename TParametersValueType, unsigned int VDimension>

using itk::KernelTransform< TParametersValueType, VDimension >::PointSetTraitsType

Initial value:

DefaultStaticMeshTraits<TParametersValueType, VDimension, VDimension, TParametersValueType, TParametersValueType>

itk::DefaultStaticMeshTraits

Definition itkDefaultStaticMeshTraits.h:62

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

Definition at line 115 of file itkKernelTransform.h.

◆ PointSetType

template<typename TParametersValueType, unsigned int VDimension>

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

Definition at line 117 of file itkKernelTransform.h.

◆ PointsIterator

template<typename TParametersValueType, unsigned int VDimension>

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

Definition at line 121 of file itkKernelTransform.h.

◆ RowMatrixType

template<typename TParametersValueType, unsigned int VDimension>

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

Row matrix type alias.

Definition at line 298 of file itkKernelTransform.h.

◆ ScalarType

template<typename TParametersValueType, unsigned int VDimension>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::ScalarType

Type of the scalar representing coordinate and vector elements.

Definition at line 126 of file itkTransform.h.

◆ Self

template<typename TParametersValueType, unsigned int VDimension>

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

Standard class type aliases.

Definition at line 65 of file itkKernelTransform.h.

◆ Superclass

template<typename TParametersValueType, unsigned int VDimension>

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

Definition at line 66 of file itkKernelTransform.h.

◆ VectorSetPointer

template<typename TParametersValueType, unsigned int VDimension>

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

Definition at line 127 of file itkKernelTransform.h.

◆ VectorSetType

template<typename TParametersValueType, unsigned int VDimension>

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

VectorSet type alias.

Definition at line 126 of file itkKernelTransform.h.

◆ WMatrixType

template<typename TParametersValueType, unsigned int VDimension>

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

'W' matrix type alias.

Definition at line 286 of file itkKernelTransform.h.

◆ YMatrixType

template<typename TParametersValueType, unsigned int VDimension>

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

'Y' matrix type alias.

Definition at line 283 of file itkKernelTransform.h.

Constructor & Destructor Documentation

◆ KernelTransform()

template<typename TParametersValueType, unsigned int VDimension>

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

protected

◆ ~KernelTransform()

template<typename TParametersValueType, unsigned int VDimension>

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

overrideprotecteddefault

Member Function Documentation

◆ ComputeD()

template<typename TParametersValueType, unsigned int VDimension>

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

protected

Compute displacements \( q_i - p_i \).

◆ ComputeDeformationContribution()

template<typename TParametersValueType, unsigned int VDimension>

virtual void itk::KernelTransform< TParametersValueType, VDimension >::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, VDimension >, itk::ThinPlateSplineKernelTransform< TParametersValueType, VDimension >, and itk::VolumeSplineKernelTransform< TParametersValueType, VDimension >.

◆ ComputeG()

template<typename TParametersValueType, unsigned int VDimension>

virtual void itk::KernelTransform< TParametersValueType, VDimension >::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, VDimension >, itk::ThinPlateSplineKernelTransform< TParametersValueType, VDimension >, and itk::VolumeSplineKernelTransform< TParametersValueType, VDimension >.

◆ ComputeJacobianWithRespectToParameters()

template<typename TParametersValueType, unsigned int VDimension>

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

overridevirtual

Compute the Jacobian Matrix of the transformation at one point

Implements itk::Transform< TParametersValueType, VDimension, VDimension >.

◆ ComputeJacobianWithRespectToPosition()

template<typename TParametersValueType, unsigned int VDimension>

void itk::KernelTransform< TParametersValueType, VDimension >::ComputeJacobianWithRespectToPosition	(	const InputPointType &	x,
		JacobianPositionType &	jacobian ) const

inlineoverridevirtual

This provides the ability to get a local jacobian value in a dense/local transform, e.g. DisplacementFieldTransform. For such transforms it would be unclear what parameters would refer to. Generally, global transforms should return an identity jacobian since there is no change with respect to position.

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

Definition at line 186 of file itkKernelTransform.h.

◆ ComputeK()

template<typename TParametersValueType, unsigned int VDimension>

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

protected

Compute K matrix.

◆ ComputeL()

template<typename TParametersValueType, unsigned int VDimension>

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

protected

Compute L matrix.

◆ ComputeP()

template<typename TParametersValueType, unsigned int VDimension>

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

protected

Compute P matrix.

◆ ComputeReflexiveG()

template<typename TParametersValueType, unsigned int VDimension>

virtual const GMatrixType & itk::KernelTransform< TParametersValueType, VDimension >::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 VDimension>

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

Compute W matrix.

◆ ComputeY()

template<typename TParametersValueType, unsigned int VDimension>

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

protected

Compute Y matrix.

◆ CreateAnother()

template<typename TParametersValueType, unsigned int VDimension>

virtual::itk::LightObject::Pointer itk::KernelTransform< TParametersValueType, VDimension >::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::LightObject.

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

◆ GetDisplacements()

template<typename TParametersValueType, unsigned int VDimension>

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

virtual

◆ GetFixedParameters()

template<typename TParametersValueType, unsigned int VDimension>

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

overridevirtual

Get Transform Fixed Parameters - Gets the Target Landmarks

Implements itk::TransformBaseTemplate< TParametersValueType >.

◆ GetInverse() [1/2]

template<typename TParametersValueType, unsigned int VDimension>

template<typename TTransform>

bool itk::KernelTransform< TParametersValueType, VDimension >::GetInverse ( SmartPointer< TTransform > inverseTransform ) const

inline

Definition at line 238 of file itkKernelTransform.h.

◆ GetInverse() [2/2]

template<typename TParametersValueType, unsigned int VDimension>

template<typename TTransform>

bool itk::KernelTransform< TParametersValueType, VDimension >::GetInverse ( TTransform * inverseTransform ) const

Returns a boolean indicating whether it is possible or not to compute the inverse of this current Transform. If it is possible, then the inverse of the transform is returned in the inverseTransform variable passed by the user. Inverting is possible if the variable is not a null pointer.

◆ GetInverseTransform()

template<typename TParametersValueType, unsigned int VDimension>

InverseTransformBasePointer itk::KernelTransform< TParametersValueType, VDimension >::GetInverseTransform ( ) const

inlineoverridevirtual

Return an inverse of this transform.

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

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

Definition at line 247 of file itkKernelTransform.h.

◆ GetModifiableDisplacements()

template<typename TParametersValueType, unsigned int VDimension>

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

virtual

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

◆ GetModifiableSourceLandmarks()

template<typename TParametersValueType, unsigned int VDimension>

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

virtual

Get/Set the source landmarks list, which we will denote \( p \).

◆ GetModifiableTargetLandmarks()

template<typename TParametersValueType, unsigned int VDimension>

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

virtual

Get the target landmarks list, which we will denote \( q \).

◆ GetNameOfClass()

template<typename TParametersValueType, unsigned int VDimension>

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

virtual

See also: LightObject::GetNameOfClass()

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

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

◆ GetParameters()

template<typename TParametersValueType, unsigned int VDimension>

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

overridevirtual

Get the Transformation Parameters - Gets the Source Landmarks

Implements itk::TransformBaseTemplate< TParametersValueType >.

◆ GetSourceLandmarks()

template<typename TParametersValueType, unsigned int VDimension>

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

virtual

Get/Set the source landmarks list, which we will denote \( p \).

◆ GetStiffness()

template<typename TParametersValueType, unsigned int VDimension>

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

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 [119].

◆ GetTargetLandmarks()

template<typename TParametersValueType, unsigned int VDimension>

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

virtual

Get the target landmarks list, which we will denote \( q \).

◆ GetTransformCategory()

template<typename TParametersValueType, unsigned int VDimension>

TransformCategoryEnum itk::KernelTransform< TParametersValueType, VDimension >::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 223 of file itkKernelTransform.h.

◆ New()

template<typename TParametersValueType, unsigned int VDimension>

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

static

New macro for creation of through a Smart Pointer

◆ PrintSelf()

template<typename TParametersValueType, unsigned int VDimension>

void itk::KernelTransform< 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::LightObject.

◆ ReorganizeW()

template<typename TParametersValueType, unsigned int VDimension>

void itk::KernelTransform< TParametersValueType, VDimension >::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 VDimension>

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

overridevirtual

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

Implements itk::Transform< TParametersValueType, VDimension, VDimension >.

◆ SetParameters()

template<typename TParametersValueType, unsigned int VDimension>

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

overridevirtual

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

Implements itk::Transform< TParametersValueType, VDimension, VDimension >.

◆ SetSourceLandmarks()

template<typename TParametersValueType, unsigned int VDimension>

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

virtual

Get/Set the source landmarks list, which we will denote \( p \).

◆ SetStiffness()

template<typename TParametersValueType, unsigned int VDimension>

virtual void itk::KernelTransform< TParametersValueType, VDimension >::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 [119].

◆ SetTargetLandmarks()

template<typename TParametersValueType, unsigned int VDimension>

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

virtual

Get the target landmarks list, which we will denote \( q \).

◆ TransformCovariantVector() [1/4]

template<typename TParametersValueType, unsigned int VDimension>

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

inlineoverridevirtual

Method to transform a CovariantVector.

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

Definition at line 172 of file itkKernelTransform.h.

◆ TransformCovariantVector() [2/4]

template<typename TParametersValueType, unsigned int VDimension>

virtual OutputCovariantVectorType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::TransformCovariantVector	(	const InputCovariantVectorType &	vector,
		const InputPointType &	point ) const

virtual

Method to transform a CovariantVector.

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

◆ TransformCovariantVector() [3/4]

template<typename TParametersValueType, unsigned int VDimension>

virtual OutputVectorPixelType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::TransformCovariantVector ( const InputVectorPixelType & vector ) const

inlinevirtual

Method to transform a CovariantVector.

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

Definition at line 245 of file itkTransform.h.

◆ TransformCovariantVector() [4/4]

template<typename TParametersValueType, unsigned int VDimension>

virtual OutputVectorPixelType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::TransformCovariantVector	(	const InputVectorPixelType &	vector,
		const InputPointType &	point ) const

virtual

Method to transform a CovariantVector.

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

◆ TransformPoint()

template<typename TParametersValueType, unsigned int VDimension>

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

overridevirtual

Compute the position of point in the new space

Implements itk::Transform< TParametersValueType, VDimension, VDimension >.

◆ TransformVector() [1/6]

template<typename TParametersValueType, unsigned int VDimension>

virtual OutputVectorPixelType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::TransformVector ( const InputVectorPixelType & vector ) const

inlinevirtual

These vector transforms are not implemented for this transform

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

Definition at line 213 of file itkTransform.h.

◆ TransformVector() [2/6]

template<typename TParametersValueType, unsigned int VDimension>

virtual OutputVectorPixelType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::TransformVector	(	const InputVectorPixelType &	vector,
		const InputPointType &	point ) const

virtual

These vector transforms are not implemented for this transform

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

◆ TransformVector() [3/6]

template<typename TParametersValueType, unsigned int VDimension>

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

inlineoverridevirtual

These vector transforms are not implemented for this transform

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

Definition at line 157 of file itkKernelTransform.h.

◆ TransformVector() [4/6]

template<typename TParametersValueType, unsigned int VDimension>

virtual OutputVectorType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::TransformVector	(	const InputVectorType &	vector,
		const InputPointType &	point ) const

virtual

These vector transforms are not implemented for this transform

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

◆ TransformVector() [5/6]

template<typename TParametersValueType, unsigned int VDimension>

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

inlineoverridevirtual

Method to transform a vnl_vector.

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

Definition at line 163 of file itkKernelTransform.h.

◆ TransformVector() [6/6]

template<typename TParametersValueType, unsigned int VDimension>

virtual OutputVnlVectorType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::TransformVector	(	const InputVnlVectorType &	vector,
		const InputPointType &	point ) const

virtual

These vector transforms are not implemented for this transform

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

◆ UpdateParameters()

template<typename TParametersValueType, unsigned int VDimension>

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

virtual

Update the Parameters array from the landmarks coordinates.

Member Data Documentation

◆ m_AMatrix

template<typename TParametersValueType, unsigned int VDimension>

AMatrixType itk::KernelTransform< TParametersValueType, VDimension >::m_AMatrix {}

protected

Rotational/Shearing part of the Affine component of the Transformation

Definition at line 386 of file itkKernelTransform.h.

◆ m_BVector

template<typename TParametersValueType, unsigned int VDimension>

BMatrixType itk::KernelTransform< TParametersValueType, VDimension >::m_BVector {}

protected

Translational part of the Affine component of the Transformation

Definition at line 389 of file itkKernelTransform.h.

◆ m_Displacements

template<typename TParametersValueType, unsigned int VDimension>

VectorSetPointer itk::KernelTransform< TParametersValueType, VDimension >::m_Displacements { VectorSetType::New() }

protected

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

Definition at line 361 of file itkKernelTransform.h.

◆ m_DMatrix

template<typename TParametersValueType, unsigned int VDimension>

DMatrixType itk::KernelTransform< TParametersValueType, VDimension >::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 383 of file itkKernelTransform.h.

◆ m_GMatrix

template<typename TParametersValueType, unsigned int VDimension>

GMatrixType itk::KernelTransform< TParametersValueType, VDimension >::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 394 of file itkKernelTransform.h.

◆ m_I

template<typename TParametersValueType, unsigned int VDimension>

IMatrixType itk::KernelTransform< TParametersValueType, VDimension >::m_I {}

protected

Identity matrix.

Definition at line 400 of file itkKernelTransform.h.

◆ m_KMatrix

template<typename TParametersValueType, unsigned int VDimension>

KMatrixType itk::KernelTransform< TParametersValueType, VDimension >::m_KMatrix {}

protected

The K matrix.

Definition at line 367 of file itkKernelTransform.h.

◆ m_LMatrix

template<typename TParametersValueType, unsigned int VDimension>

LMatrixType itk::KernelTransform< TParametersValueType, VDimension >::m_LMatrix {}

protected

The L matrix.

Definition at line 364 of file itkKernelTransform.h.

◆ m_PMatrix

template<typename TParametersValueType, unsigned int VDimension>

PMatrixType itk::KernelTransform< TParametersValueType, VDimension >::m_PMatrix {}

protected

The P matrix.

Definition at line 370 of file itkKernelTransform.h.

◆ m_SourceLandmarks

template<typename TParametersValueType, unsigned int VDimension>

PointSetPointer itk::KernelTransform< TParametersValueType, VDimension >::m_SourceLandmarks { PointSetType::New() }

protected

The list of source landmarks, denoted 'p'.

Definition at line 403 of file itkKernelTransform.h.

◆ m_Stiffness

template<typename TParametersValueType, unsigned int VDimension>

double itk::KernelTransform< TParametersValueType, VDimension >::m_Stiffness {}

protected

Stiffness parameter

Definition at line 357 of file itkKernelTransform.h.

◆ m_TargetLandmarks

template<typename TParametersValueType, unsigned int VDimension>

PointSetPointer itk::KernelTransform< TParametersValueType, VDimension >::m_TargetLandmarks { PointSetType::New() }

protected

The list of target landmarks, denoted 'q'.

Definition at line 406 of file itkKernelTransform.h.

◆ m_WMatrix

template<typename TParametersValueType, unsigned int VDimension>

WMatrixType itk::KernelTransform< TParametersValueType, VDimension >::m_WMatrix {}

protected

The W matrix.

Definition at line 376 of file itkKernelTransform.h.

◆ m_WMatrixComputed

template<typename TParametersValueType, unsigned int VDimension>

bool itk::KernelTransform< TParametersValueType, VDimension >::m_WMatrixComputed {}

protected

Has the W matrix been computed?

Definition at line 397 of file itkKernelTransform.h.

◆ m_YMatrix

template<typename TParametersValueType, unsigned int VDimension>

YMatrixType itk::KernelTransform< TParametersValueType, VDimension >::m_YMatrix {}

protected

The Y matrix.

Definition at line 373 of file itkKernelTransform.h.

◆ SpaceDimension

template<typename TParametersValueType, unsigned int VDimension>

unsigned int itk::KernelTransform< TParametersValueType, VDimension >::SpaceDimension = VDimension

staticconstexpr

Dimension of the domain space.

Definition at line 77 of file itkKernelTransform.h.

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

itkKernelTransform.h

Detailed Description

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Protected Attributes

Additional Inherited Members

Member Typedef Documentation

◆ AMatrixType

◆ BMatrixType

◆ ColumnMatrixType

◆ ConstPointer

◆ DMatrixType

◆ GMatrixType

◆ IMatrixType

◆ InputCovariantVectorType

◆ InputPointType

◆ InputVectorType

◆ InputVnlVectorType

◆ InverseJacobianPositionType

◆ InverseTransformBasePointer

◆ JacobianPositionType

◆ JacobianType

◆ KMatrixType

◆ LMatrixType

◆ OutputCovariantVectorType

◆ OutputPointType

◆ OutputVectorType

◆ OutputVnlVectorType

◆ PMatrixType

◆ Pointer

◆ PointIdentifier

◆ PointsConstIterator

◆ PointsContainer

◆ PointSetPointer

◆ PointSetTraitsType

◆ PointSetType

◆ PointsIterator

◆ RowMatrixType

◆ ScalarType

◆ Self

◆ Superclass

◆ 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()

◆ GetInverse() [1/2]

◆ GetInverse() [2/2]

◆ GetInverseTransform()

◆ GetModifiableDisplacements()

◆ GetModifiableSourceLandmarks()

◆ GetModifiableTargetLandmarks()

◆ GetNameOfClass()

◆ GetParameters()

◆ GetSourceLandmarks()

◆ GetStiffness()

◆ GetTargetLandmarks()

◆ GetTransformCategory()

◆ New()

◆ PrintSelf()

◆ ReorganizeW()