#include <itkThinPlateSplineKernelTransform2.h>

Detailed Description

template<class TScalarType, unsigned int NDimensions = 3>
class itk::ThinPlateSplineKernelTransform2< 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

Definition at line 52 of file itkThinPlateSplineKernelTransform2.h.

Inheritance diagram for itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >:

Public Types
typedef SmartPointer< const Self >	ConstPointer

typedef Superclass::InputCovariantVectorType	InputCovariantVectorType

typedef Superclass::InputPointType	InputPointType

typedef Superclass::InputVectorType	InputVectorType

typedef Superclass::JacobianType	JacobianType

typedef Superclass::OutputCovariantVectorType	OutputCovariantVectorType

typedef Superclass::OutputPointType	OutputPointType

typedef Superclass::OutputVectorType	OutputVectorType

typedef Superclass::ParametersType	ParametersType

typedef SmartPointer< Self >	Pointer

typedef Superclass::PointsIterator	PointsIterator

typedef Superclass::ScalarType	ScalarType

typedef ThinPlateSplineKernelTransform2	Self

typedef KernelTransform2< TScalarType, NDimensions >	Superclass

Public Types inherited from itk::KernelTransform2< TScalarType, 3 >
typedef vnl_matrix_fixed< TScalarType, NDimensions, NDimensions >	AMatrixType

typedef vnl_vector_fixed< TScalarType, NDimensions >	BMatrixType

typedef vnl_matrix_fixed< TScalarType, NDimensions, 1 >	ColumnMatrixType

typedef SmartPointer< const Self >	ConstPointer

typedef vnl_matrix< TScalarType >	DMatrixType

typedef vnl_matrix_fixed< TScalarType, NDimensions, NDimensions >	GMatrixType

typedef vnl_matrix_fixed< TScalarType, NDimensions, NDimensions >	IMatrixType

typedef Superclass::InputCovariantVectorType	InputCovariantVectorType

typedef Superclass::InputPointType	InputPointType

typedef Superclass::InputVectorType	InputVectorType

typedef Superclass::InputVnlVectorType	InputVnlVectorType

typedef Superclass::InternalMatrixType	InternalMatrixType

typedef Superclass::JacobianOfSpatialHessianType	JacobianOfSpatialHessianType

typedef Superclass::JacobianOfSpatialJacobianType	JacobianOfSpatialJacobianType

typedef Superclass::JacobianType	JacobianType

typedef vnl_matrix< TScalarType >	KMatrixType

typedef vnl_matrix< TScalarType >	LMatrixType

typedef Superclass::NonZeroJacobianIndicesType	NonZeroJacobianIndicesType

typedef Superclass::NumberOfParametersType	NumberOfParametersType

typedef Superclass::OutputCovariantVectorType	OutputCovariantVectorType

typedef Superclass::OutputPointType	OutputPointType

typedef Superclass::OutputVectorType	OutputVectorType

typedef Superclass::OutputVnlVectorType	OutputVnlVectorType

typedef Superclass::ParametersType	ParametersType

typedef vnl_matrix< TScalarType >	PMatrixType

typedef SmartPointer< Self >	Pointer

typedef PointSetType::PointsContainerConstIterator	PointsConstIterator

typedef PointSetType::PointsContainer	PointsContainer

typedef PointSetType::Pointer	PointSetPointer

typedef DefaultStaticMeshTraits< TScalarType, NDimensions, NDimensions, TScalarType, TScalarType >	PointSetTraitsType

typedef PointSet< InputPointType, NDimensions, PointSetTraitsType >	PointSetType

typedef PointSetType::PointsContainerIterator	PointsIterator

typedef vnl_matrix_fixed< TScalarType, 1, NDimensions >	RowMatrixType

typedef Superclass::ScalarType	ScalarType

typedef KernelTransform2	Self

typedef Superclass::SpatialHessianType	SpatialHessianType

typedef Superclass::SpatialJacobianType	SpatialJacobianType

typedef AdvancedTransform< TScalarType, NDimensions, NDimensions >	Superclass

typedef VectorSetType::Pointer	VectorSetPointer

typedef VectorContainer< unsigned long, InputVectorType >	VectorSetType

typedef vnl_matrix< TScalarType >	WMatrixType

typedef vnl_matrix< TScalarType >	YMatrixType

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

typedef Superclass::DerivativeType	DerivativeType

typedef Superclass::FixedParametersType	FixedParametersType

typedef Superclass::InputCovariantVectorType	InputCovariantVectorType

typedef Superclass::InputPointType	InputPointType

typedef Superclass::InputVectorType	InputVectorType

typedef Superclass::InputVnlVectorType	InputVnlVectorType

typedef SpatialJacobianType::InternalMatrixType	InternalMatrixType

typedef Superclass::InverseTransformBasePointer	InverseTransformBasePointer

typedef Superclass::InverseTransformBaseType	InverseTransformBaseType

typedef std::vector< SpatialHessianType >	JacobianOfSpatialHessianType

typedef std::vector< SpatialJacobianType >	JacobianOfSpatialJacobianType

typedef Superclass::JacobianType	JacobianType

typedef OutputCovariantVectorType	MovingImageGradientType

typedef MovingImageGradientType::ValueType	MovingImageGradientValueType

typedef std::vector< unsigned long >	NonZeroJacobianIndicesType

typedef Superclass::NumberOfParametersType	NumberOfParametersType

typedef Superclass::OutputCovariantVectorType	OutputCovariantVectorType

typedef Superclass::OutputPointType	OutputPointType

typedef Superclass::OutputVectorType	OutputVectorType

typedef Superclass::OutputVnlVectorType	OutputVnlVectorType

typedef Superclass::ParametersType	ParametersType

typedef Superclass::ParametersValueType	ParametersValueType

typedef SmartPointer< Self >	Pointer

typedef Superclass::ScalarType	ScalarType

typedef AdvancedTransform	Self

typedef FixedArray< Matrix< ScalarType, InputSpaceDimension, InputSpaceDimension >, OutputSpaceDimension >	SpatialHessianType

typedef Matrix< ScalarType, OutputSpaceDimension, InputSpaceDimension >	SpatialJacobianType

typedef Transform< TScalarType, NInputDimensions, NOutputDimensions >	Superclass

typedef Transform< TScalarType, NInputDimensions, NOutputDimensions >	TransformType

typedef TransformType::ConstPointer	TransformTypeConstPointer

typedef TransformType::Pointer	TransformTypePointer

Public Member Functions
virtual const char *	GetClassName () const

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

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

void	ComputeWMatrix (void)

virtual TScalarType	GetAlpha (void) const

virtual const char *	GetClassName () const

const ParametersType &	GetFixedParameters (void) const override

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

void	GetJacobianOfSpatialHessian (const InputPointType &ipp, JacobianOfSpatialHessianType &jsh, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const override

void	GetJacobianOfSpatialHessian (const InputPointType &ipp, SpatialHessianType &sh, JacobianOfSpatialHessianType &jsh, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const override

void	GetJacobianOfSpatialJacobian (const InputPointType &ipp, JacobianOfSpatialJacobianType &jsj, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const override

void	GetJacobianOfSpatialJacobian (const InputPointType &ipp, SpatialJacobianType &sj, JacobianOfSpatialJacobianType &jsj, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const override

virtual const std::string &	GetMatrixInversionMethod ()

NumberOfParametersType	GetNumberOfParameters (void) const override

const ParametersType &	GetParameters (void) const override

virtual const TScalarType	GetPoissonRatio (void) const

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

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

virtual double	GetStiffness ()

	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 (void)

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 (void)

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

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

virtual const char *	GetClassName () const

virtual bool	GetHasNonZeroJacobianOfSpatialHessian () const

virtual bool	GetHasNonZeroSpatialHessian () const

virtual void	GetJacobian (const InputPointType &ipp, JacobianType &j, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const=0

virtual void	GetJacobianOfSpatialHessian (const InputPointType &ipp, JacobianOfSpatialHessianType &jsh, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const=0

virtual void	GetJacobianOfSpatialHessian (const InputPointType &ipp, SpatialHessianType &sh, JacobianOfSpatialHessianType &jsh, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const=0

virtual void	GetJacobianOfSpatialJacobian (const InputPointType &ipp, JacobianOfSpatialJacobianType &jsj, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const=0

virtual void	GetJacobianOfSpatialJacobian (const InputPointType &ipp, SpatialJacobianType &sj, JacobianOfSpatialJacobianType &jsj, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const=0

virtual NumberOfParametersType	GetNumberOfNonZeroJacobianIndices (void) const

virtual void	GetSpatialHessian (const InputPointType &ipp, SpatialHessianType &sh) const=0

virtual void	GetSpatialJacobian (const InputPointType &ipp, SpatialJacobianType &sj) const=0

	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
typedef Superclass::GMatrixType	GMatrixType

Protected Types inherited from itk::KernelTransform2< TScalarType, 3 >
typedef vnl_qr< ScalarType >	QRDecompositionType

typedef vnl_svd< ScalarType >	SVDDecompositionType

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

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

	ThinPlateSplineKernelTransform2 ()

	~ThinPlateSplineKernelTransform2 () override

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

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

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

void	ComputeK (void)

void	ComputeL (void)

void	ComputeP (void)

virtual void	ComputeReflexiveG (PointsIterator, GMatrixType &GMatrix) const

void	ComputeY (void)

	KernelTransform2 ()

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

void	ReorganizeW (void)

	~KernelTransform2 () override

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

	AdvancedTransform (NumberOfParametersType numberOfParameters)

	~AdvancedTransform () override

Private Member Functions
void	operator= (const Self &)

	ThinPlateSplineKernelTransform2 (const Self &)

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

NonZeroJacobianIndicesType	m_NonZeroJacobianIndicesTemp

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>

typedef SmartPointer< const Self > itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::ConstPointer

Definition at line 61 of file itkThinPlateSplineKernelTransform2.h.

◆ GMatrixType

template<class TScalarType , unsigned int NDimensions = 3>

typedef Superclass::GMatrixType itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::GMatrixType

protected

These (rather redundant) typedefs are needed because on SGI, typedefs are not inherited.

Definition at line 105 of file itkThinPlateSplineKernelTransform2.h.

◆ InputCovariantVectorType

template<class TScalarType , unsigned int NDimensions = 3>

typedef Superclass::InputCovariantVectorType itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::InputCovariantVectorType

Definition at line 88 of file itkThinPlateSplineKernelTransform2.h.

◆ InputPointType

template<class TScalarType , unsigned int NDimensions = 3>

typedef Superclass::InputPointType itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::InputPointType

These (rather redundant) typedefs are needed because on SGI, typedefs are not inherited.

Definition at line 84 of file itkThinPlateSplineKernelTransform2.h.

◆ InputVectorType

template<class TScalarType , unsigned int NDimensions = 3>

typedef Superclass::InputVectorType itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::InputVectorType

Definition at line 86 of file itkThinPlateSplineKernelTransform2.h.

◆ JacobianType

template<class TScalarType , unsigned int NDimensions = 3>

typedef Superclass::JacobianType itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::JacobianType

Jacobian Type

Definition at line 76 of file itkThinPlateSplineKernelTransform2.h.

◆ OutputCovariantVectorType

template<class TScalarType , unsigned int NDimensions = 3>

typedef Superclass::OutputCovariantVectorType itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::OutputCovariantVectorType

Definition at line 89 of file itkThinPlateSplineKernelTransform2.h.

◆ OutputPointType

template<class TScalarType , unsigned int NDimensions = 3>

typedef Superclass::OutputPointType itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::OutputPointType

Definition at line 85 of file itkThinPlateSplineKernelTransform2.h.

◆ OutputVectorType

template<class TScalarType , unsigned int NDimensions = 3>

typedef Superclass::OutputVectorType itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::OutputVectorType

Definition at line 87 of file itkThinPlateSplineKernelTransform2.h.

◆ ParametersType

template<class TScalarType , unsigned int NDimensions = 3>

typedef Superclass::ParametersType itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::ParametersType

Parameters type.

Definition at line 73 of file itkThinPlateSplineKernelTransform2.h.

◆ Pointer

template<class TScalarType , unsigned int NDimensions = 3>

typedef SmartPointer< Self > itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::Pointer

Definition at line 60 of file itkThinPlateSplineKernelTransform2.h.

◆ PointsIterator

template<class TScalarType , unsigned int NDimensions = 3>

typedef Superclass::PointsIterator itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::PointsIterator

Definition at line 90 of file itkThinPlateSplineKernelTransform2.h.

◆ ScalarType

template<class TScalarType , unsigned int NDimensions = 3>

typedef Superclass::ScalarType itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::ScalarType

Scalar type.

Definition at line 70 of file itkThinPlateSplineKernelTransform2.h.

◆ Self

template<class TScalarType , unsigned int NDimensions = 3>

typedef ThinPlateSplineKernelTransform2 itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::Self

Standard class typedefs.

Definition at line 58 of file itkThinPlateSplineKernelTransform2.h.

◆ Superclass

template<class TScalarType , unsigned int NDimensions = 3>

typedef KernelTransform2< TScalarType, NDimensions > itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::Superclass

Definition at line 59 of file itkThinPlateSplineKernelTransform2.h.

Constructor & Destructor Documentation

◆ ThinPlateSplineKernelTransform2() [1/2]

template<class TScalarType , unsigned int NDimensions = 3>

itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::ThinPlateSplineKernelTransform2 ( )

inlineprotected

Definition at line 94 of file itkThinPlateSplineKernelTransform2.h.

◆ ~ThinPlateSplineKernelTransform2()

template<class TScalarType , unsigned int NDimensions = 3>

itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::~ThinPlateSplineKernelTransform2 ( )

inlineoverrideprotected

Definition at line 100 of file itkThinPlateSplineKernelTransform2.h.

◆ ThinPlateSplineKernelTransform2() [2/2]

template<class TScalarType , unsigned int NDimensions = 3>

itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::ThinPlateSplineKernelTransform2 ( const Self & )

private

Member Function Documentation

◆ ComputeDeformationContribution()

template<class TScalarType , unsigned int NDimensions = 3>

void itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::ComputeDeformationContribution	(	const InputPointType &	inputPoint,
		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::KernelTransform2< TScalarType, 3 >.

◆ ComputeG()

template<class TScalarType , unsigned int NDimensions = 3>

void itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::ComputeG	(	const InputVectorType &	x,
		GMatrixType &	GMatrix
	)		const

overrideprotectedvirtual

Compute G(x) For the thin plate spline, this is: G(x) = 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::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::GetClassName ( ) const

virtual

Run-time type information (and related methods).

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

◆ itkStaticConstMacro()

template<class TScalarType , unsigned int NDimensions = 3>

itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::itkStaticConstMacro	(	SpaceDimension	,
		unsigned int	,
		Superclass::SpaceDimension
	)

Dimension of the domain space.

◆ New()

template<class TScalarType , unsigned int NDimensions = 3>

static Pointer itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::New ( )

static

New macro for creation of through a Smart Pointer

◆ operator=()

template<class TScalarType , unsigned int NDimensions = 3>

void itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::operator= ( const Self & )

private

Detailed Description

Public Types

Public Member Functions

Static Public Member Functions

Protected Types

Protected Member Functions

Private Member Functions

Additional Inherited Members

Member Typedef Documentation

◆ ConstPointer

◆ GMatrixType

◆ InputCovariantVectorType

◆ InputPointType

◆ InputVectorType

◆ JacobianType

◆ OutputCovariantVectorType

◆ OutputPointType

◆ OutputVectorType

◆ ParametersType

◆ Pointer

◆ PointsIterator

◆ ScalarType

◆ Self

◆ Superclass

Constructor & Destructor Documentation

◆ ThinPlateSplineKernelTransform2() [1/2]

◆ ~ThinPlateSplineKernelTransform2()

◆ ThinPlateSplineKernelTransform2() [2/2]

Member Function Documentation

◆ ComputeDeformationContribution()

◆ ComputeG()

◆ GetClassName()

◆ itkStaticConstMacro()

◆ New()

◆ operator=()