#include <itkKernelTransform.h>

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

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

Detailed Description

template<typename TParametersValueType, unsigned int NDimensions>
class itk::KernelTransform< TParametersValueType, 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 62 of file itkKernelTransform.h.

Public Types
typedef vnl_matrix_fixed < TParametersValueType, NDimensions, NDimensions >	AMatrixType

typedef vnl_vector_fixed < TParametersValueType, NDimensions >	BMatrixType

typedef vnl_matrix_fixed < TParametersValueType, NDimensions, 1 >	ColumnMatrixType

typedef SmartPointer< const Self >	ConstPointer

typedef vnl_matrix < TParametersValueType >	DMatrixType

typedef Superclass::FixedParametersType	FixedParametersType

typedef vnl_matrix_fixed < TParametersValueType, NDimensions, NDimensions >	GMatrixType

typedef vnl_matrix_fixed < TParametersValueType, 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 < TParametersValueType >	KMatrixType

typedef vnl_matrix < TParametersValueType >	LMatrixType

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 < TParametersValueType >	PMatrixType

typedef SmartPointer< Self >	Pointer

typedef PointSetType::PointIdentifier	PointIdentifier

typedef PointSetType::PointsContainerConstIterator	PointsConstIterator

typedef PointSetType::PointsContainer	PointsContainer

typedef PointSetType::Pointer	PointSetPointer

typedef DefaultStaticMeshTraits < TParametersValueType, NDimensions, NDimensions, TParametersValueType, TParametersValueType >	PointSetTraitsType

typedef PointSet < InputPointType, NDimensions, PointSetTraitsType >	PointSetType

typedef PointSetType::PointsContainerIterator	PointsIterator

typedef vnl_matrix_fixed < TParametersValueType, 1, NDimensions >	RowMatrixType

typedef Superclass::ScalarType	ScalarType

typedef KernelTransform	Self

typedef Transform < TParametersValueType, NDimensions, NDimensions >	Superclass

typedef Superclass::TransformCategoryType	TransformCategoryType

typedef VectorSetType::Pointer	VectorSetPointer

typedef itk::VectorContainer < SizeValueType, InputVectorType >	VectorSetType

typedef vnl_matrix < TParametersValueType >	WMatrixType

typedef vnl_matrix < TParametersValueType >	YMatrixType

Public Types inherited from itk::Transform< TParametersValueType, NDimensions, NDimensions >
typedef SmartPointer< const Self >	ConstPointer

typedef Array < ParametersValueType >	DerivativeType

typedef Matrix< double, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)>	DirectionChangeMatrix

typedef Superclass::FixedParametersType	FixedParametersType

typedef Superclass::FixedParametersValueType	FixedParametersValueType

typedef CovariantVector < TParametersValueType, NInputDimensions >	InputCovariantVectorType

typedef DiffusionTensor3D < TParametersValueType >	InputDiffusionTensor3DType

typedef Matrix< double, itkGetStaticConstMacro(InputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)>	InputDirectionMatrix

typedef Point < TParametersValueType, NInputDimensions >	InputPointType

typedef SymmetricSecondRankTensor < TParametersValueType, NInputDimensions >	InputSymmetricSecondRankTensorType

typedef VariableLengthVector < TParametersValueType >	InputVectorPixelType

typedef Vector < TParametersValueType, NInputDimensions >	InputVectorType

typedef vnl_vector_fixed < TParametersValueType, NInputDimensions >	InputVnlVectorType

typedef InverseTransformBaseType::Pointer	InverseTransformBasePointer

typedef Transform < TParametersValueType, NOutputDimensions, NInputDimensions >	InverseTransformBaseType

typedef Array2D < ParametersValueType >	JacobianType

typedef Matrix < TParametersValueType, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)>	MatrixType

typedef Superclass::NumberOfParametersType	NumberOfParametersType

typedef CovariantVector < TParametersValueType, NOutputDimensions >	OutputCovariantVectorType

typedef DiffusionTensor3D < TParametersValueType >	OutputDiffusionTensor3DType

typedef Matrix< double, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(OutputSpaceDimension)>	OutputDirectionMatrix

typedef Point < TParametersValueType, NOutputDimensions >	OutputPointType

typedef SymmetricSecondRankTensor < TParametersValueType, NOutputDimensions >	OutputSymmetricSecondRankTensorType

typedef VariableLengthVector < TParametersValueType >	OutputVectorPixelType

typedef Vector < TParametersValueType, NOutputDimensions >	OutputVectorType

typedef vnl_vector_fixed < TParametersValueType, NOutputDimensions >	OutputVnlVectorType

typedef Superclass::ParametersType	ParametersType

typedef Superclass::ParametersValueType	ParametersValueType

typedef SmartPointer< Self >	Pointer

typedef ParametersValueType	ScalarType

typedef Transform	Self

typedef TransformBaseTemplate < TParametersValueType >	Superclass

typedef Superclass::TransformCategoryType	TransformCategoryType

Public Types inherited from itk::TransformBaseTemplate< TParametersValueType >
typedef SmartPointer< const Self >	ConstPointer

typedef OptimizerParameters < FixedParametersValueType >	FixedParametersType

typedef double	FixedParametersValueType

typedef IdentifierType	NumberOfParametersType

typedef OptimizerParameters < ParametersValueType >	ParametersType

typedef TParametersValueType	ParametersValueType

typedef SmartPointer< Self >	Pointer

typedef TransformBaseTemplate	Self

typedef Object	Superclass

enum	TransformCategoryType { UnknownTransformCategory =0, Linear =1, BSpline =2, Spline =3, DisplacementField =4, VelocityField =5 }

Public Types inherited from itk::Object
typedef SmartPointer< const Self >	ConstPointer

typedef SmartPointer< Self >	Pointer

typedef Object	Self

typedef LightObject	Superclass

Public Types inherited from itk::LightObject
typedef SmartPointer< const Self >	ConstPointer

typedef SmartPointer< Self >	Pointer

typedef LightObject	Self

Public Member Functions
virtual void	ComputeJacobianWithRespectToParameters (const InputPointType &p, JacobianType &jacobian) const override

virtual void	ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianType &) const override

void	ComputeWMatrix ()

virtual ::itk::LightObject::Pointer	CreateAnother () const

virtual const VectorSetType *	GetDisplacements () const

virtual const FixedParametersType &	GetFixedParameters () const override

virtual VectorSetType *	GetModifiableDisplacements ()

virtual const char *	GetNameOfClass () const

virtual const ParametersType &	GetParameters () const override

virtual TransformCategoryType	GetTransformCategory () const override

virtual void	SetFixedParameters (const FixedParametersType &) override

virtual void	SetParameters (const ParametersType &) override

virtual OutputPointType	TransformPoint (const InputPointType &thisPoint) const override

virtual OutputVnlVectorType	TransformVector (const InputVnlVectorType &) const override

virtual void	UpdateParameters () const


virtual PointSetType *	GetModifiableSourceLandmarks ()

virtual const PointSetType *	GetSourceLandmarks () const

virtual void	SetSourceLandmarks (PointSetType *)


virtual PointSetType *	GetModifiableTargetLandmarks ()

virtual const PointSetType *	GetTargetLandmarks () const

virtual void	SetTargetLandmarks (PointSetType *)


virtual OutputVectorType	TransformVector (const InputVectorType &) const override


virtual OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const override


virtual void	SetStiffness (double _arg)

virtual double	GetStiffness () const

Public Member Functions inherited from itk::Transform< TParametersValueType, NDimensions, NDimensions >
virtual void	ComputeInverseJacobianWithRespectToPosition (const InputPointType &x, JacobianType &jacobian) const

virtual void	ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &) const =0

virtual void	ComputeJacobianWithRespectToParametersCachedTemporaries (const InputPointType &p, JacobianType &jacobian, JacobianType &) const

virtual void	ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianType &) const

virtual void	CopyInFixedParameters (const FixedParametersValueType const begin, const FixedParametersValueType const end) override

virtual void	CopyInParameters (const ParametersValueType const begin, const ParametersValueType const end) override

unsigned int	GetInputSpaceDimension (void) const override

bool	GetInverse (Self *) const

virtual InverseTransformBasePointer	GetInverseTransform () const

virtual NumberOfParametersType	GetNumberOfFixedParameters () const

virtual NumberOfParametersType	GetNumberOfLocalParameters (void) const

virtual NumberOfParametersType	GetNumberOfParameters (void) const override

unsigned int	GetOutputSpaceDimension (void) const override

virtual std::string	GetTransformTypeAsString () const override

virtual bool	IsLinear () const

	itkCloneMacro (Self)

virtual void	SetFixedParameters (const FixedParametersType &) override=0

virtual void	SetParameters (const ParametersType &) override=0

virtual void	SetParametersByValue (const ParametersType &p) override

virtual OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const

virtual OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &vector, const InputPointType &point) const

virtual OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &) const

virtual OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &vector, const InputPointType &point) const

virtual OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &) const

virtual OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &tensor, const InputPointType &point) const

virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &) const

virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &tensor, const InputPointType &point) const

virtual OutputPointType	TransformPoint (const InputPointType &) const =0

virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &tensor, const InputPointType &point) const

virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &) const

virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &) const

virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &tensor, const InputPointType &point) const

virtual OutputVectorType	TransformVector (const InputVectorType &) const

virtual OutputVectorType	TransformVector (const InputVectorType &vector, const InputPointType &point) const

virtual OutputVnlVectorType	TransformVector (const InputVnlVectorType &) const

virtual OutputVnlVectorType	TransformVector (const InputVnlVectorType &vector, const InputPointType &point) const

virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &) const

virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &vector, const InputPointType &point) const

virtual void	UpdateTransformParameters (const DerivativeType &update, ParametersValueType factor=1.0)

Public Member Functions inherited from itk::Object
unsigned long	AddObserver (const EventObject &event, Command *)

unsigned long	AddObserver (const EventObject &event, Command *) const

virtual void	DebugOff () const

virtual void	DebugOn () const

Command *	GetCommand (unsigned long tag)

bool	GetDebug () const

MetaDataDictionary &	GetMetaDataDictionary ()

const MetaDataDictionary &	GetMetaDataDictionary () const

virtual ModifiedTimeType	GetMTime () const

virtual const TimeStamp &	GetTimeStamp () const

bool	HasObserver (const EventObject &event) const

void	InvokeEvent (const EventObject &)

void	InvokeEvent (const EventObject &) const

virtual void	Modified () const

virtual void	Register () const override

void	RemoveAllObservers ()

void	RemoveObserver (unsigned long tag)

void	SetDebug (bool debugFlag) const

void	SetMetaDataDictionary (const MetaDataDictionary &rhs)

virtual void	SetReferenceCount (int) override

virtual void	UnRegister () const noexceptoverride

virtual void	SetObjectName (std::string _arg)

virtual const std::string &	GetObjectName () const

Public Member Functions inherited from itk::LightObject
virtual void	Delete ()

virtual int	GetReferenceCount () const

	itkCloneMacro (Self)

void	Print (std::ostream &os, Indent indent=0) const

Static Public Member Functions
static Pointer	New ()

Static Public Member Functions inherited from itk::Object
static bool	GetGlobalWarningDisplay ()

static void	GlobalWarningDisplayOff ()

static void	GlobalWarningDisplayOn ()

static Pointer	New ()

static void	SetGlobalWarningDisplay (bool flag)

Static Public Member Functions inherited from itk::LightObject
static void	BreakOnError ()

static Pointer	New ()

Static Public Attributes
static const unsigned int	SpaceDimension = NDimensions

Static Public Attributes inherited from itk::Transform< TParametersValueType, NDimensions, NDimensions >
static const unsigned int	InputSpaceDimension

static const unsigned int	OutputSpaceDimension

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 ()

	KernelTransform ()

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

void	ReorganizeW ()

virtual	~KernelTransform () override

Protected Member Functions inherited from itk::Transform< TParametersValueType, NDimensions, NDimensions >
virtual LightObject::Pointer	InternalClone () const override

OutputDiffusionTensor3DType	PreservationOfPrincipalDirectionDiffusionTensor3DReorientation (const InputDiffusionTensor3DType, const JacobianType) const

	Transform ()

	Transform (NumberOfParametersType NumberOfParameters)

virtual	~Transform () override

Protected Member Functions inherited from itk::TransformBaseTemplate< TParametersValueType >
	TransformBaseTemplate ()

virtual	~TransformBaseTemplate () override

Protected Member Functions inherited from itk::Object
	Object ()

bool	PrintObservers (std::ostream &os, Indent indent) const

virtual void	SetTimeStamp (const TimeStamp &time)

virtual	~Object () override

Protected Member Functions inherited from itk::LightObject
	LightObject ()

virtual void	PrintHeader (std::ostream &os, Indent indent) const

virtual void	PrintTrailer (std::ostream &os, Indent indent) const

virtual	~LightObject ()

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

Protected Attributes inherited from itk::Transform< TParametersValueType, NDimensions, NDimensions >
DirectionChangeMatrix	m_DirectionChange

FixedParametersType	m_FixedParameters

ParametersType	m_Parameters

Protected Attributes inherited from itk::LightObject
AtomicInt< int >	m_ReferenceCount