#include <itkThinPlateR2LogRSplineKernelTransform.h>

Detailed Description

template<typename TParametersValueType, unsigned int VDimension = 3>
class itk::ThinPlateR2LogRSplineKernelTransform< TParametersValueType, VDimension >

This class defines the thin plate spline (TPS) transformation. It 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.

The kernel used in this variant of TPS is \( R^2 log(R) \)

Definition at line 37 of file itkThinPlateR2LogRSplineKernelTransform.h.

Inheritance diagram for itk::ThinPlateR2LogRSplineKernelTransform< TParametersValueType, VDimension >:

Collaboration diagram for itk::ThinPlateR2LogRSplineKernelTransform< TParametersValueType, VDimension >:

Public Types
using	ConstPointer = SmartPointer< const Self >

using	Pointer = SmartPointer< Self >

using	Self = ThinPlateR2LogRSplineKernelTransform

using	Superclass = KernelTransform< TParametersValueType, VDimension >

Public Types inherited from itk::KernelTransform< TParametersValueType, 3 >
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	KMatrixType = vnl_matrix< TParametersValueType >

using	LMatrixType = vnl_matrix< TParametersValueType >

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

using	PointSetType = PointSet< InputPointType, VDimension, PointSetTraitsType >

using	PointsIterator = typename PointSetType::PointsContainerIterator

using	RowMatrixType = vnl_matrix_fixed< TParametersValueType, 1, VDimension >

using	Self = KernelTransform

using	Superclass = Transform< TParametersValueType, VDimension, VDimension >

using	VectorSetPointer = typename VectorSetType::Pointer

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

using	WMatrixType = vnl_matrix< TParametersValueType >

using	YMatrixType = vnl_matrix< TParametersValueType >

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

using	DerivativeType = Array< ParametersValueType >

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

using	InputCovariantVectorType = CovariantVector< TParametersValueType, VInputDimension >

using	InputDiffusionTensor3DType = DiffusionTensor3D< TParametersValueType >

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

using	InputPointType = Point< TParametersValueType, VInputDimension >

using	InputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< TParametersValueType, VInputDimension >

using	InputVectorPixelType = VariableLengthVector< TParametersValueType >

using	InputVectorType = Vector< TParametersValueType, VInputDimension >

using	InputVnlVectorType = vnl_vector_fixed< TParametersValueType, VInputDimension >

using	InverseJacobianPositionType = vnl_matrix_fixed< ParametersValueType, VInputDimension, VOutputDimension >

using	InverseTransformBasePointer = typename InverseTransformBaseType::Pointer

using	InverseTransformBaseType = Transform< TParametersValueType, VOutputDimension, VInputDimension >

using	JacobianPositionType = vnl_matrix_fixed< ParametersValueType, VOutputDimension, VInputDimension >

using	JacobianType = Array2D< ParametersValueType >

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

using	OutputCovariantVectorType = CovariantVector< TParametersValueType, VOutputDimension >

using	OutputDiffusionTensor3DType = DiffusionTensor3D< TParametersValueType >

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

using	OutputPointType = Point< TParametersValueType, VOutputDimension >

using	OutputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< TParametersValueType, VOutputDimension >

using	OutputVectorPixelType = VariableLengthVector< TParametersValueType >

using	OutputVectorType = Vector< TParametersValueType, VOutputDimension >

using	OutputVnlVectorType = vnl_vector_fixed< TParametersValueType, VOutputDimension >

using	Pointer = SmartPointer< Self >

using	ScalarType = ParametersValueType

using	Self = Transform

using	Superclass = TransformBaseTemplate< TParametersValueType >

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

using	FixedParametersType = OptimizerParameters< FixedParametersValueType >

using	FixedParametersValueType = double

using	NumberOfParametersType = IdentifierType

using	ParametersType = OptimizerParameters< ParametersValueType >

using	ParametersValueType = TParametersValueType

using	Pointer = SmartPointer< Self >

using	Self = TransformBaseTemplate

using	Superclass = Object

using	TransformCategoryEnum = TransformBaseTemplateEnums::TransformCategory

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

using	Pointer = SmartPointer< Self >

using	Self = Object

using	Superclass = LightObject

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

using	Pointer = SmartPointer< Self >

using	Self = LightObject

Public Member Functions
const char *	GetNameOfClass () const override

Public Member Functions inherited from itk::KernelTransform< TParametersValueType, 3 >
void	ComputeJacobianWithRespectToParameters (const InputPointType &p, JacobianType &jacobian) const override

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

void	ComputeWMatrix ()

const FixedParametersType &	GetFixedParameters () const override

virtual VectorSetType *	GetModifiableDisplacements ()

const char *	GetNameOfClass () const override

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 void	SetSourceLandmarks (PointSetType *)

virtual PointSetType *	GetModifiableTargetLandmarks ()

virtual void	SetTargetLandmarks (PointSetType *)

OutputVectorType	TransformVector (const InputVectorType &) const override

OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const override

virtual void	SetStiffness (double _arg)

virtual double	GetStiffness () const

Public Member Functions inherited from itk::Transform< TParametersValueType, VDimension, VDimension >
virtual void	ComputeJacobianWithRespectToParametersCachedTemporaries (const InputPointType &p, JacobianType &jacobian, JacobianType &) const

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

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

const FixedParametersType &	GetFixedParameters () const override

unsigned int	GetInputSpaceDimension () const override

virtual const std::string &	GetInputSpaceName () const

bool	GetInverse (Self *) const

virtual InverseTransformBasePointer	GetInverseTransform () const

const char *	GetNameOfClass () const override

virtual NumberOfParametersType	GetNumberOfFixedParameters () const

virtual NumberOfParametersType	GetNumberOfLocalParameters () const

NumberOfParametersType	GetNumberOfParameters () const override

unsigned int	GetOutputSpaceDimension () const override

virtual const std::string &	GetOutputSpaceName () const

const ParametersType &	GetParameters () const override

TransformCategoryEnum	GetTransformCategory () const override

std::string	GetTransformTypeAsString () const override

virtual bool	IsLinear () const

	itkCloneMacro (Self)

void	SetFixedParameters (const FixedParametersType &) override=0

virtual void	SetInputSpaceName (std::string _arg)

virtual void	SetOutputSpaceName (std::string _arg)

void	SetParameters (const ParametersType &) override=0

void	SetParametersByValue (const ParametersType &p) override

virtual OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const

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

virtual OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &) const

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

virtual OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &) const

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

virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &) const

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

virtual OutputPointType	TransformPoint (const InputPointType &) const=0

virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &) const

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

virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &) const

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

virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &) const

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

virtual OutputVectorType	TransformVector (const InputVectorType &) const

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

virtual OutputVnlVectorType	TransformVector (const InputVnlVectorType &) const

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

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

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

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

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

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

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

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

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

virtual const FixedParametersType &	GetFixedParameters () const =0

virtual unsigned int	GetInputSpaceDimension () const =0

const char *	GetNameOfClass () const override

virtual NumberOfParametersType	GetNumberOfParameters () const =0

virtual unsigned int	GetOutputSpaceDimension () const =0

virtual const ParametersType &	GetParameters () const =0

virtual TransformCategoryEnum	GetTransformCategory () const =0

virtual std::string	GetTransformTypeAsString () const =0

virtual void	SetFixedParameters (const FixedParametersType &)=0

virtual void	SetParameters (const ParametersType &)=0

virtual void	SetParametersByValue (const ParametersType &p)=0

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

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

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

LightObject::Pointer	CreateAnother () const override

virtual void	DebugOff () const

virtual void	DebugOn () const

Command *	GetCommand (unsigned long tag)

bool	GetDebug () const

MetaDataDictionary &	GetMetaDataDictionary ()

const MetaDataDictionary &	GetMetaDataDictionary () const

virtual ModifiedTimeType	GetMTime () const

const char *	GetNameOfClass () const override

virtual const TimeStamp &	GetTimeStamp () const

bool	HasObserver (const EventObject &event) const

void	InvokeEvent (const EventObject &)

void	InvokeEvent (const EventObject &) const

virtual void	Modified () const

void	Register () const override

void	RemoveAllObservers ()

void	RemoveObserver (unsigned long tag)

void	SetDebug (bool debugFlag) const

void	SetReferenceCount (int) override

void	UnRegister () const noexcept override

void	SetMetaDataDictionary (const MetaDataDictionary &rhs)

void	SetMetaDataDictionary (MetaDataDictionary &&rrhs)

virtual void	SetObjectName (std::string _arg)

virtual const std::string &	GetObjectName () const

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

virtual Pointer	CreateAnother () const

virtual void	Delete ()

virtual const char *	GetNameOfClass () const

virtual int	GetReferenceCount () const

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

virtual void	Register () const

virtual void	SetReferenceCount (int)

virtual void	UnRegister () const noexcept

Static Public Member Functions
static Pointer	New ()

Static Public Member Functions inherited from itk::KernelTransform< TParametersValueType, 3 >
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 = Superclass::SpaceDimension

Static Public Attributes inherited from itk::KernelTransform< TParametersValueType, 3 >
static constexpr unsigned int	SpaceDimension

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

static constexpr unsigned int	OutputSpaceDimension

Protected Member Functions
void	ComputeDeformationContribution (const InputPointType &thisPoint, OutputPointType &result) const override

void	ComputeG (const InputVectorType &x, GMatrixType &gmatrix) const override

	ThinPlateR2LogRSplineKernelTransform ()=default

	~ThinPlateR2LogRSplineKernelTransform () override=default

Protected Member Functions inherited from itk::KernelTransform< TParametersValueType, 3 >
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

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

	Transform ()=default

	Transform (NumberOfParametersType numberOfParameters)

	~Transform () override=default

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

	~TransformBaseTemplate () override=default

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

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

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

virtual void	SetTimeStamp (const TimeStamp &timeStamp)

	~Object () override

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

	LightObject ()

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

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

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

virtual	~LightObject ()

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

Protected Attributes inherited from itk::KernelTransform< TParametersValueType, 3 >
AMatrixType	m_AMatrix

BMatrixType	m_BVector

VectorSetPointer	m_Displacements

DMatrixType	m_DMatrix

GMatrixType	m_GMatrix

IMatrixType	m_I

KMatrixType	m_KMatrix

LMatrixType	m_LMatrix

PMatrixType	m_PMatrix

PointSetPointer	m_SourceLandmarks

double	m_Stiffness

PointSetPointer	m_TargetLandmarks

WMatrixType	m_WMatrix

bool	m_WMatrixComputed

YMatrixType	m_YMatrix

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

ParametersType	m_Parameters

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

Member Typedef Documentation

◆ ConstPointer

template<typename TParametersValueType , unsigned int VDimension = 3>

using itk::ThinPlateR2LogRSplineKernelTransform< TParametersValueType, VDimension >::ConstPointer = SmartPointer<const Self>

Definition at line 47 of file itkThinPlateR2LogRSplineKernelTransform.h.

◆ Pointer

template<typename TParametersValueType , unsigned int VDimension = 3>

using itk::ThinPlateR2LogRSplineKernelTransform< TParametersValueType, VDimension >::Pointer = SmartPointer<Self>

Definition at line 46 of file itkThinPlateR2LogRSplineKernelTransform.h.

◆ Self

template<typename TParametersValueType , unsigned int VDimension = 3>

using itk::ThinPlateR2LogRSplineKernelTransform< TParametersValueType, VDimension >::Self = ThinPlateR2LogRSplineKernelTransform

Standard class type aliases.

Definition at line 44 of file itkThinPlateR2LogRSplineKernelTransform.h.

◆ Superclass

template<typename TParametersValueType , unsigned int VDimension = 3>

using itk::ThinPlateR2LogRSplineKernelTransform< TParametersValueType, VDimension >::Superclass = KernelTransform<TParametersValueType, VDimension>

Definition at line 45 of file itkThinPlateR2LogRSplineKernelTransform.h.

Constructor & Destructor Documentation

◆ ThinPlateR2LogRSplineKernelTransform()

template<typename TParametersValueType , unsigned int VDimension = 3>

itk::ThinPlateR2LogRSplineKernelTransform< TParametersValueType, VDimension >::ThinPlateR2LogRSplineKernelTransform ( )

protecteddefault

◆ ~ThinPlateR2LogRSplineKernelTransform()

template<typename TParametersValueType , unsigned int VDimension = 3>

itk::ThinPlateR2LogRSplineKernelTransform< TParametersValueType, VDimension >::~ThinPlateR2LogRSplineKernelTransform ( )

overrideprotecteddefault

Member Function Documentation

◆ ComputeDeformationContribution()

template<typename TParametersValueType , unsigned int VDimension = 3>

void itk::ThinPlateR2LogRSplineKernelTransform< TParametersValueType, VDimension >::ComputeDeformationContribution	(	const InputPointType &	thisPoint,
		OutputPointType &	result
	)		const

overrideprotectedvirtual

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

Reimplemented from itk::KernelTransform< TParametersValueType, 3 >.

◆ ComputeG()

template<typename TParametersValueType , unsigned int VDimension = 3>

void itk::ThinPlateR2LogRSplineKernelTransform< TParametersValueType, VDimension >::ComputeG	(	const InputVectorType &	x,
		GMatrixType &	gmatrix
	)		const

overrideprotectedvirtual

Compute G(x) For the thin plate spline, this is: G(x) = r(x)*I \( G(x) = r(x)^2 log(r(x) ) *I \) where r(x) = Euclidean norm = sqrt[x1^2 + x2^2 + x3^2]

\[ r(x) = \sqrt{ x_1^2 + x_2^2 + x_3^2 } \]

I = identity matrix.

Reimplemented from itk::KernelTransform< TParametersValueType, 3 >.

◆ GetNameOfClass()

template<typename TParametersValueType , unsigned int VDimension = 3>

const char * itk::ThinPlateR2LogRSplineKernelTransform< TParametersValueType, VDimension >::GetNameOfClass ( ) const

overridevirtual

See also: LightObject::GetNameOfClass()

Reimplemented from itk::Object.

◆ New()

template<typename TParametersValueType , unsigned int VDimension = 3>

static Pointer itk::ThinPlateR2LogRSplineKernelTransform< TParametersValueType, VDimension >::New ( )

static

New macro for creation of through a Smart Pointer

Member Data Documentation

◆ SpaceDimension

template<typename TParametersValueType , unsigned int VDimension = 3>

constexpr unsigned int itk::ThinPlateR2LogRSplineKernelTransform< TParametersValueType, VDimension >::SpaceDimension = Superclass::SpaceDimension

staticconstexpr

Dimension of the domain space.

Definition at line 68 of file itkThinPlateR2LogRSplineKernelTransform.h.

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

itkThinPlateR2LogRSplineKernelTransform.h

Detailed Description

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Additional Inherited Members

Member Typedef Documentation

◆ ConstPointer

◆ Pointer

◆ Self

◆ Superclass

Constructor & Destructor Documentation

◆ ThinPlateR2LogRSplineKernelTransform()

◆ ~ThinPlateR2LogRSplineKernelTransform()

Member Function Documentation

◆ ComputeDeformationContribution()

◆ ComputeG()

◆ GetNameOfClass()

◆ New()

Member Data Documentation

◆ SpaceDimension