#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::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 ()

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 ()

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

virtual	~TransformBaseTemplate ()

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

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

virtual void	SetTimeStamp (const TimeStamp &time)

virtual	~Object ()

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

Private Member Functions
	KernelTransform (const Self &) ITK_DELETE_FUNCTION

void	operator= (const Self &) ITK_DELETE_FUNCTION

Member Typedef Documentation

template<typename TParametersValueType , unsigned int NDimensions>

typedef vnl_matrix_fixed<TParametersValueType, NDimensions, NDimensions> itk::KernelTransform< TParametersValueType, NDimensions >::AMatrixType

'A' matrix typedef. Rotational part of the Affine component

Definition at line 251 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef vnl_vector_fixed<TParametersValueType, NDimensions> itk::KernelTransform< TParametersValueType, NDimensions >::BMatrixType

'B' matrix typedef. Translational part of the Affine component

Definition at line 254 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef vnl_matrix_fixed<TParametersValueType, NDimensions, 1> itk::KernelTransform< TParametersValueType, NDimensions >::ColumnMatrixType

Column matrix typedef.

Definition at line 260 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef SmartPointer<const Self> itk::KernelTransform< TParametersValueType, NDimensions >::ConstPointer

Definition at line 70 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef vnl_matrix<TParametersValueType> itk::KernelTransform< TParametersValueType, NDimensions >::DMatrixType

'D' matrix typedef. Deformation component

Definition at line 248 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef Superclass::FixedParametersType itk::KernelTransform< TParametersValueType, NDimensions >::FixedParametersType

Parameters type.

Definition at line 85 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef vnl_matrix_fixed<TParametersValueType, NDimensions, NDimensions> itk::KernelTransform< TParametersValueType, NDimensions >::GMatrixType

'G' matrix typedef.

Definition at line 230 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef vnl_matrix_fixed<TParametersValueType, NDimensions, NDimensions> itk::KernelTransform< TParametersValueType, NDimensions >::IMatrixType

'I' (identity) matrix typedef.

Definition at line 167 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef Superclass::InputCovariantVectorType itk::KernelTransform< TParametersValueType, NDimensions >::InputCovariantVectorType

Standard covariant vector type for this class

Definition at line 103 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef Superclass::InputPointType itk::KernelTransform< TParametersValueType, NDimensions >::InputPointType

Standard coordinate point type for this class.

Definition at line 95 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef Superclass::InputVectorType itk::KernelTransform< TParametersValueType, NDimensions >::InputVectorType

Standard vector type for this class.

Definition at line 99 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef Superclass::InputVnlVectorType itk::KernelTransform< TParametersValueType, NDimensions >::InputVnlVectorType

Standard vnl_vector type for this class.

Definition at line 107 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef Superclass::JacobianType itk::KernelTransform< TParametersValueType, NDimensions >::JacobianType

Jacobian type.

Definition at line 89 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef vnl_matrix<TParametersValueType> itk::KernelTransform< TParametersValueType, NDimensions >::KMatrixType

'K' matrix typedef.

Definition at line 236 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef vnl_matrix<TParametersValueType> itk::KernelTransform< TParametersValueType, NDimensions >::LMatrixType

'L' matrix typedef.

Definition at line 233 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef Superclass::OutputCovariantVectorType itk::KernelTransform< TParametersValueType, NDimensions >::OutputCovariantVectorType

Definition at line 104 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef Superclass::OutputPointType itk::KernelTransform< TParametersValueType, NDimensions >::OutputPointType

Definition at line 96 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef Superclass::OutputVectorType itk::KernelTransform< TParametersValueType, NDimensions >::OutputVectorType

Definition at line 100 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef Superclass::OutputVnlVectorType itk::KernelTransform< TParametersValueType, NDimensions >::OutputVnlVectorType

Definition at line 108 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef Superclass::ParametersType itk::KernelTransform< TParametersValueType, NDimensions >::ParametersType

Definition at line 86 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef vnl_matrix<TParametersValueType> itk::KernelTransform< TParametersValueType, NDimensions >::PMatrixType

'P' matrix typedef.

Definition at line 239 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef SmartPointer<Self> itk::KernelTransform< TParametersValueType, NDimensions >::Pointer

Definition at line 69 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef PointSetType::PointIdentifier itk::KernelTransform< TParametersValueType, NDimensions >::PointIdentifier

Definition at line 119 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef PointSetType::PointsContainerConstIterator itk::KernelTransform< TParametersValueType, NDimensions >::PointsConstIterator

Definition at line 118 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef PointSetType::PointsContainer itk::KernelTransform< TParametersValueType, NDimensions >::PointsContainer

Definition at line 116 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef PointSetType::Pointer itk::KernelTransform< TParametersValueType, NDimensions >::PointSetPointer

Definition at line 115 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef DefaultStaticMeshTraits<TParametersValueType, NDimensions, NDimensions, TParametersValueType, TParametersValueType> itk::KernelTransform< TParametersValueType, NDimensions >::PointSetTraitsType

PointList typedef. This type is used for maintaining lists of points, specifically, the source and target landmark lists.

Definition at line 112 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef PointSet<InputPointType, NDimensions, PointSetTraitsType> itk::KernelTransform< TParametersValueType, NDimensions >::PointSetType

Definition at line 113 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef PointSetType::PointsContainerIterator itk::KernelTransform< TParametersValueType, NDimensions >::PointsIterator

Definition at line 117 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef vnl_matrix_fixed<TParametersValueType, 1, NDimensions> itk::KernelTransform< TParametersValueType, NDimensions >::RowMatrixType

Row matrix typedef.

Definition at line 257 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef Superclass::ScalarType itk::KernelTransform< TParametersValueType, NDimensions >::ScalarType

Scalar type.

Definition at line 82 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef KernelTransform itk::KernelTransform< TParametersValueType, NDimensions >::Self

Standard class typedefs.

Definition at line 67 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef Transform<TParametersValueType, NDimensions, NDimensions> itk::KernelTransform< TParametersValueType, NDimensions >::Superclass

Definition at line 68 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef Superclass::TransformCategoryType itk::KernelTransform< TParametersValueType, NDimensions >::TransformCategoryType

Transform category type.

Definition at line 92 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef VectorSetType::Pointer itk::KernelTransform< TParametersValueType, NDimensions >::VectorSetPointer

Definition at line 123 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef itk::VectorContainer<SizeValueType, InputVectorType> itk::KernelTransform< TParametersValueType, NDimensions >::VectorSetType

VectorSet typedef.

Definition at line 122 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef vnl_matrix<TParametersValueType> itk::KernelTransform< TParametersValueType, NDimensions >::WMatrixType

'W' matrix typedef.

Definition at line 245 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

typedef vnl_matrix<TParametersValueType> itk::KernelTransform< TParametersValueType, NDimensions >::YMatrixType

'Y' matrix typedef.

Definition at line 242 of file itkKernelTransform.h.

Constructor & Destructor Documentation

template<typename TParametersValueType , unsigned int NDimensions>

itk::KernelTransform< TParametersValueType, NDimensions >::KernelTransform ( )

protected

template<typename TParametersValueType , unsigned int NDimensions>

virtual itk::KernelTransform< TParametersValueType, NDimensions >::~KernelTransform ( )

protectedvirtual

template<typename TParametersValueType , unsigned int NDimensions>

itk::KernelTransform< TParametersValueType, NDimensions >::KernelTransform ( const Self & )

private

Member Function Documentation

template<typename TParametersValueType , unsigned int NDimensions>

void itk::KernelTransform< TParametersValueType, NDimensions >::ComputeD ( )

protected

Compute displacements $ q_i - p_i $ .

template<typename TParametersValueType , unsigned int NDimensions>

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

protectedvirtual

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

Reimplemented in itk::VolumeSplineKernelTransform< TParametersValueType, NDimensions >, itk::ThinPlateSplineKernelTransform< TParametersValueType, NDimensions >, and itk::ThinPlateR2LogRSplineKernelTransform< TParametersValueType, NDimensions >.

template<typename TParametersValueType , unsigned int NDimensions>

virtual void itk::KernelTransform< TParametersValueType, NDimensions >::ComputeG	(	const InputVectorType &	landmarkVector,
		GMatrixType &	gmatrix
	)		const

protectedvirtual

Compute G(x) This is essentially the kernel of the transform. By overriding this method, we can obtain (among others): Elastic body spline Thin plate spline Volume spline

Reimplemented in itk::VolumeSplineKernelTransform< TParametersValueType, NDimensions >, itk::ThinPlateSplineKernelTransform< TParametersValueType, NDimensions >, and itk::ThinPlateR2LogRSplineKernelTransform< TParametersValueType, NDimensions >.

template<typename TParametersValueType , unsigned int NDimensions>

virtual void itk::KernelTransform< TParametersValueType, NDimensions >::ComputeJacobianWithRespectToParameters	(	const InputPointType &	p,
		JacobianType &	jacobian
	)		const

overridevirtual

Compute the Jacobian Matrix of the transformation at one point

template<typename TParametersValueType , unsigned int NDimensions>

virtual void itk::KernelTransform< TParametersValueType, NDimensions >::ComputeJacobianWithRespectToPosition	(	const InputPointType &	,
		JacobianType &
	)		const

inlineoverridevirtual

Definition at line 172 of file itkKernelTransform.h.

References itk::KernelTransform< TParametersValueType, NDimensions >::GetNameOfClass().

template<typename TParametersValueType , unsigned int NDimensions>

void itk::KernelTransform< TParametersValueType, NDimensions >::ComputeK ( )

protected

Compute K matrix.

template<typename TParametersValueType , unsigned int NDimensions>

void itk::KernelTransform< TParametersValueType, NDimensions >::ComputeL ( )

protected

Compute L matrix.

template<typename TParametersValueType , unsigned int NDimensions>

void itk::KernelTransform< TParametersValueType, NDimensions >::ComputeP ( )

protected

Compute P matrix.

template<typename TParametersValueType , unsigned int NDimensions>

virtual const GMatrixType& itk::KernelTransform< TParametersValueType, NDimensions >::ComputeReflexiveG ( PointsIterator ) const

protectedvirtual

Compute a G(x) for a point to itself (i.e. for the block diagonal elements of the matrix K. Parameter indicates for which landmark the reflexive G is to be computed. The default implementation for the reflexive contribution is a diagonal matrix where the diagonal elements are the stiffness of the spline.

Warning: this method is not thread-safe. However this method is called only through ComputeWMatrix() that is itself normally called from a single thread during the initialization of the Transform.

template<typename TParametersValueType , unsigned int NDimensions>

void itk::KernelTransform< TParametersValueType, NDimensions >::ComputeWMatrix ( )

Compute W matrix.

template<typename TParametersValueType , unsigned int NDimensions>

void itk::KernelTransform< TParametersValueType, NDimensions >::ComputeY ( )

protected

Compute Y matrix.

template<typename TParametersValueType , unsigned int NDimensions>

virtual::itk::LightObject::Pointer itk::KernelTransform< TParametersValueType, NDimensions >::CreateAnother ( ) const

virtual

Create an object from an instance, potentially deferring to a factory. This method allows you to create an instance of an object that is exactly the same type as the referring object. This is useful in cases where an object has been cast back to a base class.

Reimplemented from itk::Object.

Reimplemented in itk::ThinPlateR2LogRSplineKernelTransform< TParametersValueType, NDimensions >, itk::ThinPlateSplineKernelTransform< TParametersValueType, NDimensions >, and itk::VolumeSplineKernelTransform< TParametersValueType, NDimensions >.

template<typename TParametersValueType , unsigned int NDimensions>

virtual const VectorSetType* itk::KernelTransform< TParametersValueType, NDimensions >::GetDisplacements ( ) const

virtual

template<typename TParametersValueType , unsigned int NDimensions>

virtual const FixedParametersType& itk::KernelTransform< TParametersValueType, NDimensions >::GetFixedParameters ( ) const

overridevirtual

Get Transform Fixed Parameters - Gets the Target Landmarks

Reimplemented from itk::Transform< TParametersValueType, NDimensions, NDimensions >.

template<typename TParametersValueType , unsigned int NDimensions>

virtual VectorSetType* itk::KernelTransform< TParametersValueType, NDimensions >::GetModifiableDisplacements ( )

virtual

Get the displacements list, which we will denote $ d $ , where $ d_i = q_i - p_i $ .

template<typename TParametersValueType , unsigned int NDimensions>

virtual PointSetType* itk::KernelTransform< TParametersValueType, NDimensions >::GetModifiableSourceLandmarks ( )

virtual

Get/Set the source landmarks list, which we will denote $ p $ .

template<typename TParametersValueType , unsigned int NDimensions>

virtual PointSetType* itk::KernelTransform< TParametersValueType, NDimensions >::GetModifiableTargetLandmarks ( )

virtual

Get the target landmarks list, which we will denote $ q $ .

template<typename TParametersValueType , unsigned int NDimensions>

virtual const char* itk::KernelTransform< TParametersValueType, NDimensions >::GetNameOfClass ( ) const

virtual

Run-time type information (and related methods).

Reimplemented from itk::Transform< TParametersValueType, NDimensions, NDimensions >.

Reimplemented in itk::ElasticBodySplineKernelTransform< TParametersValueType, NDimensions >, itk::ElasticBodyReciprocalSplineKernelTransform< TParametersValueType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TParametersValueType, NDimensions >, itk::ThinPlateSplineKernelTransform< TParametersValueType, NDimensions >, and itk::VolumeSplineKernelTransform< TParametersValueType, NDimensions >.

Referenced by itk::KernelTransform< TParametersValueType, NDimensions >::ComputeJacobianWithRespectToPosition().

template<typename TParametersValueType , unsigned int NDimensions>

virtual const ParametersType& itk::KernelTransform< TParametersValueType, NDimensions >::GetParameters ( ) const

overridevirtual

Get the Transformation Parameters - Gets the Source Landmarks

Reimplemented from itk::Transform< TParametersValueType, NDimensions, NDimensions >.

template<typename TParametersValueType , unsigned int NDimensions>

virtual const PointSetType* itk::KernelTransform< TParametersValueType, NDimensions >::GetSourceLandmarks ( ) const

virtual

Get/Set the source landmarks list, which we will denote $ p $ .

template<typename TParametersValueType , unsigned int NDimensions>

virtual double itk::KernelTransform< TParametersValueType, NDimensions >::GetStiffness ( ) const

virtual

Stiffness of the spline. A stiffness of zero results in the standard interpolating spline. A non-zero stiffness allows the spline to approximate rather than interpolate the landmarks. Stiffness values are usually rather small, typically in the range of 0.001 to 0.1. The approximating spline 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.

template<typename TParametersValueType , unsigned int NDimensions>

virtual const PointSetType* itk::KernelTransform< TParametersValueType, NDimensions >::GetTargetLandmarks ( ) const

virtual

Get the target landmarks list, which we will denote $ q $ .

template<typename TParametersValueType , unsigned int NDimensions>

virtual TransformCategoryType itk::KernelTransform< TParametersValueType, NDimensions >::GetTransformCategory ( ) const

inlineoverridevirtual

This transform is not linear, because the transformation of a linear combination of points is not equal to the linear combination of the transformations of individual points

Reimplemented from itk::Transform< TParametersValueType, NDimensions, NDimensions >.

Definition at line 204 of file itkKernelTransform.h.

References itk::TransformBaseTemplate< TParametersValueType >::Spline.

template<typename TParametersValueType , unsigned int NDimensions>

static Pointer itk::KernelTransform< TParametersValueType, NDimensions >::New ( )

static

New macro for creation of through a Smart Pointer

template<typename TParametersValueType , unsigned int NDimensions>

void itk::KernelTransform< TParametersValueType, NDimensions >::operator= ( const Self & )

private

template<typename TParametersValueType , unsigned int NDimensions>

void itk::KernelTransform< TParametersValueType, NDimensions >::PrintSelf	(	std::ostream &	os,
		Indent	indent
	)		const

overrideprotectedvirtual

Methods invoked by Print() to print information about the object including superclasses. Typically not called by the user (use Print() instead) but used in the hierarchical print process to combine the output of several classes.

Reimplemented from itk::Object.

template<typename TParametersValueType , unsigned int NDimensions>

void itk::KernelTransform< TParametersValueType, NDimensions >::ReorganizeW ( )

protected

Reorganize the components of W into D (deformable), A (rotation part of affine) and B (translational part of affine ) components.

Warning: This method release the memory of the W Matrix

template<typename TParametersValueType , unsigned int NDimensions>

virtual void itk::KernelTransform< TParametersValueType, NDimensions >::SetFixedParameters ( const FixedParametersType & )

overridevirtual

Set Transform Fixed Parameters: To support the transform file writer this function was added to set the target landmarks similar to the SetParameters function setting the source landmarks

template<typename TParametersValueType , unsigned int NDimensions>

virtual void itk::KernelTransform< TParametersValueType, NDimensions >::SetParameters ( const ParametersType & )

overridevirtual

Set the Transformation Parameters and update the internal transformation. The parameters represent the source landmarks. Each landmark point is represented by NDimensions doubles. All the landmarks are concatenated to form one flat Array<double>.

template<typename TParametersValueType , unsigned int NDimensions>

virtual void itk::KernelTransform< TParametersValueType, NDimensions >::SetSourceLandmarks ( PointSetType * )

virtual

Get/Set the source landmarks list, which we will denote $ p $ .

template<typename TParametersValueType , unsigned int NDimensions>

virtual void itk::KernelTransform< TParametersValueType, NDimensions >::SetStiffness ( double _arg )

virtual

Stiffness of the spline. A stiffness of zero results in the standard interpolating spline. A non-zero stiffness allows the spline to approximate rather than interpolate the landmarks. Stiffness values are usually rather small, typically in the range of 0.001 to 0.1. The approximating spline 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.

template<typename TParametersValueType , unsigned int NDimensions>

virtual void itk::KernelTransform< TParametersValueType, NDimensions >::SetTargetLandmarks ( PointSetType * )

virtual

Get the target landmarks list, which we will denote $ q $ .

template<typename TParametersValueType , unsigned int NDimensions>

virtual OutputCovariantVectorType itk::KernelTransform< TParametersValueType, NDimensions >::TransformCovariantVector ( const InputCovariantVectorType & ) const

inlineoverridevirtual

Definition at line 160 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

virtual OutputPointType itk::KernelTransform< TParametersValueType, NDimensions >::TransformPoint ( const InputPointType & thisPoint ) const

overridevirtual

Compute the position of point in the new space

template<typename TParametersValueType , unsigned int NDimensions>

virtual OutputVectorType itk::KernelTransform< TParametersValueType, NDimensions >::TransformVector ( const InputVectorType & ) const

inlineoverridevirtual

Definition at line 147 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

virtual OutputVnlVectorType itk::KernelTransform< TParametersValueType, NDimensions >::TransformVector ( const InputVnlVectorType & ) const

inlineoverridevirtual

Definition at line 153 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

virtual void itk::KernelTransform< TParametersValueType, NDimensions >::UpdateParameters ( ) const

virtual

Update the Parameters array from the landmarks corrdinates.

Member Data Documentation

template<typename TParametersValueType , unsigned int NDimensions>

AMatrixType itk::KernelTransform< TParametersValueType, NDimensions >::m_AMatrix

protected

Rotatinoal/Shearing part of the Affine component of the Transformation

Definition at line 337 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

BMatrixType itk::KernelTransform< TParametersValueType, NDimensions >::m_BVector

protected

Translational part of the Affine component of the Transformation

Definition at line 340 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

VectorSetPointer itk::KernelTransform< TParametersValueType, NDimensions >::m_Displacements

protected

The list of displacements. d[i] = q[i] - p[i];

Definition at line 312 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

DMatrixType itk::KernelTransform< TParametersValueType, NDimensions >::m_DMatrix

protected

The Deformation matrix. This is an auxiliary matrix that will hold the Deformation (non-affine) part of the transform. Those are the coefficients that will multiply the Kernel function

Definition at line 334 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

GMatrixType itk::KernelTransform< TParametersValueType, NDimensions >::m_GMatrix

mutableprotected

The G matrix. It is made mutable because m_GMatrix was made an ivar only to avoid copying the matrix at return time

Definition at line 345 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

IMatrixType itk::KernelTransform< TParametersValueType, NDimensions >::m_I

protected

Identity matrix.

Definition at line 351 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

KMatrixType itk::KernelTransform< TParametersValueType, NDimensions >::m_KMatrix

protected

The K matrix.

Definition at line 318 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

LMatrixType itk::KernelTransform< TParametersValueType, NDimensions >::m_LMatrix

protected

The L matrix.

Definition at line 315 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

PMatrixType itk::KernelTransform< TParametersValueType, NDimensions >::m_PMatrix

protected

The P matrix.

Definition at line 321 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

PointSetPointer itk::KernelTransform< TParametersValueType, NDimensions >::m_SourceLandmarks

protected

The list of source landmarks, denoted 'p'.

Definition at line 354 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

double itk::KernelTransform< TParametersValueType, NDimensions >::m_Stiffness

protected

Stiffness parameter

Definition at line 308 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

PointSetPointer itk::KernelTransform< TParametersValueType, NDimensions >::m_TargetLandmarks

protected

The list of target landmarks, denoted 'q'.

Definition at line 357 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

WMatrixType itk::KernelTransform< TParametersValueType, NDimensions >::m_WMatrix

protected

The W matrix.

Definition at line 327 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

bool itk::KernelTransform< TParametersValueType, NDimensions >::m_WMatrixComputed

protected

Has the W matrix been computed?

Definition at line 348 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

YMatrixType itk::KernelTransform< TParametersValueType, NDimensions >::m_YMatrix

protected

The Y matrix.

Definition at line 324 of file itkKernelTransform.h.

template<typename TParametersValueType , unsigned int NDimensions>

const unsigned int itk::KernelTransform< TParametersValueType, NDimensions >::SpaceDimension = NDimensions

static

Dimension of the domain space.

Definition at line 79 of file itkKernelTransform.h.

The documentation for this class was generated from the following file:

itkKernelTransform.h

Detailed Description

template<typename TParametersValueType, unsigned int NDimensions> class itk::KernelTransform< TParametersValueType, NDimensions >

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Protected Attributes

Private Member Functions

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<typename TParametersValueType, unsigned int NDimensions>
class itk::KernelTransform< TParametersValueType, NDimensions >