#include <itkThinPlateSplineKernelTransform2.h>

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

Collaboration 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, NDimensions >
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::InputPointType	InputPointType

typedef Superclass::InputVectorType	InputVectorType

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::OutputPointType	OutputPointType

typedef Superclass::OutputVectorType	OutputVectorType

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::InputCovariantVectorType	InputCovariantVectorType

typedef Superclass::InputPointType	InputPointType

typedef Superclass::InputVectorType	InputVectorType

typedef Superclass::InputVnlVectorType	InputVnlVectorType

typedef SpatialJacobianType::InternalMatrixType	InternalMatrixType

typedef std::vector < SpatialHessianType >	JacobianOfSpatialHessianType

typedef std::vector < SpatialJacobianType >	JacobianOfSpatialJacobianType

typedef Superclass::JacobianType	JacobianType

typedef std::vector< unsigned long >	NonZeroJacobianIndicesType

typedef Superclass::OutputCovariantVectorType	OutputCovariantVectorType

typedef Superclass::OutputPointType	OutputPointType

typedef Superclass::OutputVectorType	OutputVectorType

typedef Superclass::OutputVnlVectorType	OutputVnlVectorType

typedef Superclass::ParametersType	ParametersType

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

Public Member Functions
virtual const char *	GetClassName () const

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

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

void	ComputeWMatrix (void)

virtual TScalarType	GetAlpha (void) const

virtual VectorSetType *	GetDisplacements ()

virtual const ParametersType &	GetFixedParameters (void) const

virtual const JacobianType &	GetJacobian (const InputPointType &point) const

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

virtual const std::string &	GetMatrixInversionMethod ()

virtual unsigned int	GetNumberOfParameters (void) const

virtual const ParametersType &	GetParameters (void) const

virtual const TScalarType	GetPoissonRatio (void) const

virtual PointSetType *	GetSourceLandmarks ()

virtual double	GetStiffness ()

virtual PointSetType *	GetTargetLandmarks ()

	itkStaticConstMacro (SpaceDimension, unsigned int, NDimensions)

virtual void	SetAlpha (TScalarType)

virtual void	SetFixedParameters (const ParametersType &)

virtual void	SetIdentity (void)

virtual void	SetMatrixInversionMethod (std::string _arg)

virtual void	SetParameters (const ParametersType &)

virtual void	SetPoissonRatio (TScalarType _arg)

virtual void	SetSourceLandmarks (PointSetType *)

virtual void	SetStiffness (double stiffness)

virtual void	SetTargetLandmarks (PointSetType *)

virtual OutputPointType	TransformPoint (const InputPointType &thisPoint) const

virtual void	UpdateParameters (void)

Public Member Functions inherited from itk::AdvancedTransform< TScalarType, NDimensions, NDimensions >
virtual bool	GetHasNonZeroJacobianOfSpatialHessian () const

virtual bool	GetHasNonZeroSpatialHessian () const

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

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

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

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

virtual unsigned long	GetNumberOfNonZeroJacobianIndices (void) const

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

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

	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 ()

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

Protected Types
typedef Superclass::GMatrixType	GMatrixType

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

typedef vnl_svd< ScalarType >	SVDDecompositionType

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

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

	ThinPlateSplineKernelTransform2 ()

virtual	~ThinPlateSplineKernelTransform2 ()

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

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

void	ReorganizeW (void)

virtual	~KernelTransform2 ()

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

	AdvancedTransform (unsigned int Dimension, unsigned int NumberOfParameters)

virtual	~AdvancedTransform ()

Private Member Functions
void	operator= (const Self &)

	ThinPlateSplineKernelTransform2 (const Self &)

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

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

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 34 of file itkThinPlateSplineKernelTransform2.h.

Member Typedef Documentation

template<class TScalarType , unsigned int NDimensions = 3>

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

Definition at line 42 of file itkThinPlateSplineKernelTransform2.h.

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 83 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>

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

Definition at line 69 of file itkThinPlateSplineKernelTransform2.h.

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 65 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>

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

Definition at line 67 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>

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

Jacobian Type

Definition at line 57 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>

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

Definition at line 70 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>

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

Definition at line 66 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>

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

Definition at line 68 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>

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

Parameters type.

Definition at line 54 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>

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

Definition at line 41 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>

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

Definition at line 71 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>

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

Scalar type.

Definition at line 48 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>

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

Standard class typedefs.

Definition at line 39 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>

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

Definition at line 40 of file itkThinPlateSplineKernelTransform2.h.

Constructor & Destructor Documentation

template<class TScalarType , unsigned int NDimensions = 3>

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

inlineprotected

Definition at line 74 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>

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

inlineprotectedvirtual

Definition at line 78 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>

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

private

Member Function Documentation

template<class TScalarType , unsigned int NDimensions = 3>

virtual void itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::ComputeDeformationContribution	(	const InputPointType &	inputPoint,
		OutputPointType &	result
	)		const

protectedvirtual

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

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

template<class TScalarType , unsigned int NDimensions = 3>

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

protectedvirtual

Compute G(x) For the thin plate spline, this is: G(x) = r(x)*I $ 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, NDimensions >.

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, NDimensions >.

template<class TScalarType , unsigned int NDimensions = 3>

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

Dimension of the domain space.

template<class TScalarType , unsigned int NDimensions = 3>

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

static

New macro for creation of through a Smart Pointer

template<class TScalarType , unsigned int NDimensions = 3>

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

private

Public Types

Public Member Functions

Static Public Member Functions

Protected Types

Protected Member Functions

Private Member Functions

Additional Inherited Members

Detailed Description

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

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

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