#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

Definition at line 53 of file itkThinPlateR2LogRSplineKernelTransform2.h.

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

Public Types
using	ConstPointer = SmartPointer< const Self >

using	Pointer = SmartPointer< Self >

using	PointsIterator = typename PointSetType::PointsContainerIterator

using	Self = ThinPlateR2LogRSplineKernelTransform2

using	Superclass = KernelTransform2< TScalarType, NDimensions >

Public Types inherited from itk::KernelTransform2< TScalarType, NDimensions >
using	AMatrixType = vnl_matrix_fixed< TScalarType, NDimensions, NDimensions >

using	BMatrixType = vnl_vector_fixed< TScalarType, NDimensions >

using	ColumnMatrixType = vnl_matrix_fixed< TScalarType, NDimensions, 1 >

using	ConstPointer = SmartPointer< const Self >

using	DMatrixType = vnl_matrix< TScalarType >

using	GMatrixType = vnl_matrix_fixed< TScalarType, NDimensions, NDimensions >

using	IMatrixType = vnl_matrix_fixed< TScalarType, NDimensions, NDimensions >

using	KMatrixType = vnl_matrix< TScalarType >

using	LMatrixType = vnl_matrix< TScalarType >

using	PMatrixType = vnl_matrix< TScalarType >

using	Pointer = SmartPointer< Self >

using	PointsConstIterator = typename PointSetType::PointsContainerConstIterator

using	PointsContainer = typename PointSetType::PointsContainer

using	PointSetPointer = typename PointSetType::Pointer

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

using	PointSetType = PointSet< InputPointType, NDimensions, PointSetTraitsType >

using	PointsIterator = typename PointSetType::PointsContainerIterator

using	RowMatrixType = vnl_matrix_fixed< TScalarType, 1, NDimensions >

using	Self = KernelTransform2

using	Superclass = AdvancedTransform< TScalarType, NDimensions, NDimensions >

using	VectorSetPointer = typename VectorSetType::Pointer

using	VectorSetType = VectorContainer< unsigned long, InputVectorType >

using	WMatrixType = vnl_matrix< TScalarType >

using	YMatrixType = vnl_matrix< TScalarType >

Public Types inherited from itk::AdvancedTransform< TScalarType, NDimensions, NDimensions >
using	ConstPointer = SmartPointer< const Self >

using	InternalMatrixType = typename SpatialJacobianType::InternalMatrixType

using	InverseTransformBaseType = typename Superclass::InverseTransformBaseType

using	JacobianOfSpatialHessianType = std::vector< SpatialHessianType >

using	JacobianOfSpatialJacobianType = std::vector< SpatialJacobianType >

using	MovingImageGradientType = OutputCovariantVectorType

using	MovingImageGradientValueType = typename MovingImageGradientType::ValueType

using	NonZeroJacobianIndicesType = std::vector< unsigned long >

using	Pointer = SmartPointer< Self >

using	Self = AdvancedTransform

using	SpatialHessianType = FixedArray< Matrix< ScalarType, InputSpaceDimension, InputSpaceDimension >, OutputSpaceDimension >

using	SpatialJacobianType = Matrix< ScalarType, OutputSpaceDimension, InputSpaceDimension >

using	Superclass = Transform< TScalarType, NInputDimensions, NOutputDimensions >

using	TransformType = Transform< TScalarType, NInputDimensions, NOutputDimensions >

using	TransformTypeConstPointer = typename TransformType::ConstPointer

using	TransformTypePointer = typename TransformType::Pointer

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, NDimensions >
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, NDimensions >
static Pointer	New ()

Protected Types
using	GMatrixType = vnl_matrix_fixed< TScalarType, NDimensions, NDimensions >

Protected Types inherited from itk::KernelTransform2< TScalarType, NDimensions >
using	QRDecompositionType = vnl_qr< ScalarType >

using	SVDDecompositionType = vnl_svd< ScalarType >

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, NDimensions >
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, NDimensions >
PointSetPointer	m_SourceLandmarks {}

PointSetPointer	m_TargetLandmarks {}

Protected Attributes inherited from itk::KernelTransform2< TScalarType, NDimensions >
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 = vnl_matrix_fixed<TScalarType, NDimensions, NDimensions>

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 = typename PointSetType::PointsContainerIterator

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, NDimensions >.

◆ 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 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, NDimensions >.

◆ 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, NDimensions >.

◆ 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()