#include <itkThinPlateR2LogRSplineKernelTransform2.h>

Detailed Description

template<class TScalarType, unsigned int NDimensions = 3>
class itk::ThinPlateR2LogRSplineKernelTransform2< TScalarType, NDimensions >

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 53 of file itkThinPlateR2LogRSplineKernelTransform2.h.

Inheritance diagram for itk::ThinPlateR2LogRSplineKernelTransform2< TScalarType, NDimensions >:

[legend]

Public Types
using	ConstPointer = SmartPointer<const Self>

using	Pointer = SmartPointer<Self>

using	PointsIterator

using	Self = ThinPlateR2LogRSplineKernelTransform2

using	Superclass = KernelTransform2<TScalarType, NDimensions>

Public Types inherited from itk::KernelTransform2< TScalarType, 3 >
using	AMatrixType

using	BMatrixType

using	ColumnMatrixType

using	ConstPointer

using	DMatrixType

using	GMatrixType

using	IMatrixType

using	KMatrixType

using	LMatrixType

using	PMatrixType

using	Pointer

using	PointsConstIterator

using	PointsContainer

using	PointSetPointer

using	PointSetTraitsType

using	PointSetType

using	PointsIterator

using	RowMatrixType

using	Self

using	Superclass

using	VectorSetPointer

using	VectorSetType

using	WMatrixType

using	YMatrixType

Public Types inherited from itk::AdvancedTransform< TScalarType, NDimensions, NDimensions >
using	ConstPointer

using	InternalMatrixType

using	InverseTransformBaseType

using	JacobianOfSpatialHessianType

using	JacobianOfSpatialJacobianType

using	MovingImageGradientType

using	MovingImageGradientValueType

using	NonZeroJacobianIndicesType

using	Pointer

using	Self

using	SpatialHessianType

using	SpatialJacobianType

using	Superclass

using	TransformType

using	TransformTypeConstPointer

using	TransformTypePointer

Public Member Functions
virtual const char *	GetClassName () const

	ITK_DISALLOW_COPY_AND_MOVE (ThinPlateR2LogRSplineKernelTransform2)

	itkStaticConstMacro (SpaceDimension, unsigned int, Superclass::SpaceDimension)

Public Member Functions inherited from itk::KernelTransform2< TScalarType, 3 >
void	ComputeLInverse ()

void	ComputeWMatrix ()

const ParametersType &	GetFixedParameters () const override

void	GetJacobian (const InputPointType &, JacobianType &, NonZeroJacobianIndicesType &) const override

void	GetJacobianOfSpatialHessian (const InputPointType &, JacobianOfSpatialHessianType &, NonZeroJacobianIndicesType &) const override

void	GetJacobianOfSpatialHessian (const InputPointType &, SpatialHessianType &, JacobianOfSpatialHessianType &, NonZeroJacobianIndicesType &) const override

void	GetJacobianOfSpatialJacobian (const InputPointType &, JacobianOfSpatialJacobianType &, NonZeroJacobianIndicesType &) const override

void	GetJacobianOfSpatialJacobian (const InputPointType &, SpatialJacobianType &, JacobianOfSpatialJacobianType &, NonZeroJacobianIndicesType &) const override

virtual const std::string &	GetMatrixInversionMethod ()

NumberOfParametersType	GetNumberOfParameters () const override

const ParametersType &	GetParameters () const override

virtual const TScalarType	GetPoissonRatio () const

void	GetSpatialHessian (const InputPointType &, SpatialHessianType &) const override

void	GetSpatialJacobian (const InputPointType &, SpatialJacobianType &) const override

virtual double	GetStiffness () const

	ITK_DISALLOW_COPY_AND_MOVE (KernelTransform2)

	itkGetModifiableObjectMacro (Displacements, VectorSetType)

	itkGetModifiableObjectMacro (SourceLandmarks, PointSetType)

	itkGetModifiableObjectMacro (TargetLandmarks, PointSetType)

	itkStaticConstMacro (SpaceDimension, unsigned int, NDimensions)

virtual void	SetAlpha (TScalarType)

void	SetFixedParameters (const ParametersType &) override

virtual void	SetIdentity ()

virtual void	SetMatrixInversionMethod (std::string _arg)

void	SetParameters (const ParametersType &) override

virtual void	SetPoissonRatio (TScalarType _arg)

virtual void	SetSourceLandmarks (PointSetType *)

virtual void	SetStiffness (double stiffness)

virtual void	SetTargetLandmarks (PointSetType *)

OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const override

OutputPointType	TransformPoint (const InputPointType &thisPoint) const override

OutputVectorType	TransformVector (const InputVectorType &) const override

OutputVnlVectorType	TransformVector (const InputVnlVectorType &) const override

virtual void	UpdateParameters ()

Public Member Functions inherited from itk::AdvancedTransform< TScalarType, NDimensions, NDimensions >
void	ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &) const override

virtual void	EvaluateJacobianWithImageGradientProduct (const InputPointType &inputPoint, const MovingImageGradientType &movingImageGradient, DerivativeType &imageJacobian, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const

virtual bool	GetHasNonZeroJacobianOfSpatialHessian () const

virtual bool	GetHasNonZeroSpatialHessian () const

virtual NumberOfParametersType	GetNumberOfNonZeroJacobianIndices () const

	ITK_DISALLOW_COPY_AND_MOVE (AdvancedTransform)

	itkStaticConstMacro (InputSpaceDimension, unsigned int, NInputDimensions)

	itkStaticConstMacro (OutputSpaceDimension, unsigned int, NOutputDimensions)

Static Public Member Functions
static Pointer	New ()

Static Public Member Functions inherited from itk::KernelTransform2< TScalarType, 3 >
static Pointer	New ()

Protected Types
using	GMatrixType

Protected Types inherited from itk::KernelTransform2< TScalarType, 3 >
using	QRDecompositionType

using	SVDDecompositionType

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

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

	ThinPlateR2LogRSplineKernelTransform2 ()

	~ThinPlateR2LogRSplineKernelTransform2 () override=default

Protected Member Functions inherited from itk::KernelTransform2< TScalarType, 3 >
void	ComputeD ()

void	ComputeK ()

void	ComputeL ()

void	ComputeP ()

virtual void	ComputeReflexiveG (PointsIterator, GMatrixType &GMatrix) const

void	ComputeY ()

	KernelTransform2 ()

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

void	ReorganizeW ()

	~KernelTransform2 () override

Protected Member Functions inherited from itk::AdvancedTransform< TScalarType, NDimensions, NDimensions >
	AdvancedTransform ()=default

	~AdvancedTransform () override=default

Additional Inherited Members
Data Fields inherited from itk::KernelTransform2< TScalarType, 3 >
PointSetPointer	m_SourceLandmarks

PointSetPointer	m_TargetLandmarks

Protected Attributes inherited from itk::KernelTransform2< TScalarType, 3 >
AMatrixType	m_AMatrix

BMatrixType	m_BVector

VectorSetPointer	m_Displacements

DMatrixType	m_DMatrix

bool	m_FastComputationPossible

IMatrixType	m_I

KMatrixType	m_KMatrix

bool	m_LInverseComputed

LMatrixType	m_LMatrix

bool	m_LMatrixComputed

bool	m_LMatrixDecompositionComputed

QRDecompositionType *	m_LMatrixDecompositionQR

SVDDecompositionType *	m_LMatrixDecompositionSVD

LMatrixType	m_LMatrixInverse

NonZeroJacobianIndicesType	m_NonZeroJacobianIndices

PMatrixType	m_PMatrix

double	m_Stiffness

WMatrixType	m_WMatrix

bool	m_WMatrixComputed

YMatrixType	m_YMatrix

Protected Attributes inherited from itk::AdvancedTransform< TScalarType, NDimensions, NDimensions >
bool	m_HasNonZeroJacobianOfSpatialHessian

bool	m_HasNonZeroSpatialHessian

Member Typedef Documentation

◆ ConstPointer

template<class TScalarType , unsigned int NDimensions = 3>

using itk::ThinPlateR2LogRSplineKernelTransform2< TScalarType, NDimensions >::ConstPointer = SmartPointer<const Self>

Definition at line 62 of file itkThinPlateR2LogRSplineKernelTransform2.h.

◆ GMatrixType

template<class TScalarType , unsigned int NDimensions = 3>

using itk::KernelTransform2< TScalarType, NDimensions >::GMatrixType

protected

'G' matrix typedef.

Definition at line 365 of file itkKernelTransform2.h.

◆ Pointer

template<class TScalarType , unsigned int NDimensions = 3>

using itk::ThinPlateR2LogRSplineKernelTransform2< TScalarType, NDimensions >::Pointer = SmartPointer<Self>

Definition at line 61 of file itkThinPlateR2LogRSplineKernelTransform2.h.

◆ PointsIterator

template<class TScalarType , unsigned int NDimensions = 3>

using itk::KernelTransform2< TScalarType, NDimensions >::PointsIterator

Definition at line 146 of file itkKernelTransform2.h.

◆ Self

template<class TScalarType , unsigned int NDimensions = 3>

using itk::ThinPlateR2LogRSplineKernelTransform2< TScalarType, NDimensions >::Self = ThinPlateR2LogRSplineKernelTransform2

Standard class typedefs.

Definition at line 59 of file itkThinPlateR2LogRSplineKernelTransform2.h.

◆ Superclass

template<class TScalarType , unsigned int NDimensions = 3>

using itk::ThinPlateR2LogRSplineKernelTransform2< TScalarType, NDimensions >::Superclass = KernelTransform2<TScalarType, NDimensions>

Definition at line 60 of file itkThinPlateR2LogRSplineKernelTransform2.h.

Constructor & Destructor Documentation

◆ ThinPlateR2LogRSplineKernelTransform2()

template<class TScalarType , unsigned int NDimensions = 3>

itk::ThinPlateR2LogRSplineKernelTransform2< TScalarType, NDimensions >::ThinPlateR2LogRSplineKernelTransform2 ( )

inlineprotected

Definition at line 93 of file itkThinPlateR2LogRSplineKernelTransform2.h.

◆ ~ThinPlateR2LogRSplineKernelTransform2()

template<class TScalarType , unsigned int NDimensions = 3>

itk::ThinPlateR2LogRSplineKernelTransform2< TScalarType, NDimensions >::~ThinPlateR2LogRSplineKernelTransform2 ( )

overrideprotecteddefault

Member Function Documentation

◆ ComputeDeformationContribution()

template<class TScalarType , unsigned int NDimensions = 3>

void itk::ThinPlateR2LogRSplineKernelTransform2< TScalarType, NDimensions >::ComputeDeformationContribution	(	const InputPointType &	inputPoint,
		OutputPointType &	result ) const

overrideprotectedvirtual

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

Reimplemented from itk::KernelTransform2< TScalarType, 3 >.

◆ ComputeG()

template<class TScalarType , unsigned int NDimensions = 3>

void itk::ThinPlateR2LogRSplineKernelTransform2< TScalarType, NDimensions >::ComputeG	(	const InputVectorType &	x,
		GMatrixType &	GMatrix ) const

overrideprotectedvirtual

Compute G(x) For the thin plate spline, this is: G(x) = r(x)^2 log(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::KernelTransform2< TScalarType, 3 >.

◆ GetClassName()

template<class TScalarType , unsigned int NDimensions = 3>

virtual const char * itk::ThinPlateR2LogRSplineKernelTransform2< TScalarType, NDimensions >::GetClassName ( ) const

virtual

Run-time type information (and related methods).

Reimplemented from itk::KernelTransform2< TScalarType, 3 >.

◆ ITK_DISALLOW_COPY_AND_MOVE()

template<class TScalarType , unsigned int NDimensions = 3>

itk::ThinPlateR2LogRSplineKernelTransform2< TScalarType, NDimensions >::ITK_DISALLOW_COPY_AND_MOVE ( ThinPlateR2LogRSplineKernelTransform2< TScalarType, NDimensions > )

◆ itkStaticConstMacro()

template<class TScalarType , unsigned int NDimensions = 3>

itk::ThinPlateR2LogRSplineKernelTransform2< TScalarType, NDimensions >::itkStaticConstMacro	(	SpaceDimension	,
		unsigned int	,
		Superclass::SpaceDimension	)

Dimension of the domain space.

◆ New()

template<class TScalarType , unsigned int NDimensions = 3>

static Pointer itk::ThinPlateR2LogRSplineKernelTransform2< TScalarType, NDimensions >::New ( )

static

New macro for creation of through a Smart Pointer

Detailed Description

Public Types

Public Member Functions

Static Public Member Functions

Protected Types

Protected Member Functions

Additional Inherited Members

Member Typedef Documentation

◆ ConstPointer

◆ GMatrixType

◆ Pointer

◆ PointsIterator

◆ Self

◆ Superclass

Constructor & Destructor Documentation

◆ ThinPlateR2LogRSplineKernelTransform2()

◆ ~ThinPlateR2LogRSplineKernelTransform2()

Member Function Documentation

◆ ComputeDeformationContribution()

◆ ComputeG()

◆ GetClassName()

◆ ITK_DISALLOW_COPY_AND_MOVE()

◆ itkStaticConstMacro()

◆ New()