#include <itkKernelTransform.h>

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

Collaboration diagram for itk::KernelTransform< TScalarType, NDimensions >:

Public Types
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::JacobianType	JacobianType
typedef vnl_matrix< TScalarType >	KMatrixType
typedef vnl_matrix< TScalarType >	LMatrixType
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::PointIdentifier	PointIdentifier
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 KernelTransform	Self
typedef Transform< TScalarType, NDimensions, NDimensions >	Superclass
typedef VectorSetType::Pointer	VectorSetPointer
typedef itk::VectorContainer < SizeValueType, InputVectorType >	VectorSetType
typedef vnl_matrix< TScalarType >	WMatrixType
typedef vnl_matrix< TScalarType >	YMatrixType
Public Member Functions
virtual void	ComputeJacobianWithRespectToParameters (const InputPointType &p, JacobianType &jacobian) const
virtual void	ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianType &) const
void	ComputeWMatrix (void)
virtual ::itk::LightObject::Pointer	CreateAnother (void) const
virtual VectorSetType *	GetDisplacements ()
virtual const ParametersType &	GetFixedParameters (void) const
virtual const char *	GetNameOfClass () const
virtual const ParametersType &	GetParameters (void) const
virtual PointSetType *	GetSourceLandmarks ()
virtual PointSetType *	GetTargetLandmarks ()
virtual bool	IsLinear () const
virtual void	SetFixedParameters (const ParametersType &)
virtual void	SetParameters (const ParametersType &)
virtual void	SetSourceLandmarks (PointSetType *)
virtual void	SetTargetLandmarks (PointSetType *)
virtual OutputPointType	TransformPoint (const InputPointType &thisPoint) const
virtual OutputVnlVectorType	TransformVector (const InputVnlVectorType &) const
virtual void	UpdateParameters (void) const

virtual OutputVectorType	TransformVector (const InputVectorType &) const

virtual OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const
Static Public Member Functions
static Pointer	New ()
Static Public Attributes
static const unsigned int	SpaceDimension = NDimensions
Protected Member Functions
void	ComputeD ()
virtual void	ComputeDeformationContribution (const InputPointType &inputPoint, 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 ()
void	ReorganizeW (void)
Protected Attributes
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
Private Member Functions
	KernelTransform (const Self &)
void	operator= (const Self &)
virtual void	SetStiffness (double _arg)
virtual double	GetStiffness () const
	KernelTransform ()
virtual	~KernelTransform ()
void	PrintSelf (std::ostream &os, Indent indent) const

Detailed Description

template<class TScalarType, unsigned int NDimensions>
class itk::KernelTransform< TScalarType, NDimensions >

Intended to be a base class for elastic body spline and thin plate spline. This 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. Notation closely follows their paper, so if you have it in front of you, this code will make a lot more sense.

KernelTransform: Provides support for defining source and target landmarks Defines a number of data types used in the computations Defines the mathematical framework used to compute all splines, so that subclasses need only provide a kernel specific to that spline

This formulation allows the stiffness of the spline to be adjusted, allowing the spline to vary from interpolating the landmarks to approximating the landmarks. This part of the formulation is based on the short paper by R. Sprengel, K. Rohr, H. Stiehl. "Thin-Plate Spline Approximation for Image Registration". In 18th International Conference of the IEEE Engineering in Medicine and Biology Society. 1996.

Definition at line 63 of file itkKernelTransform.h.