itk::ThinPlateSplineKernelTransform2

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#include <itkThinPlateSplineKernelTransform2.h>

Inherits from itk::KernelTransform2< TScalarType, 3 >, itk::AdvancedTransform< TScalarType, NDimensions, NDimensions >, Transform< TScalarType, 3, 3 >

Public Types

	Name
typedef ThinPlateSplineKernelTransform2	Self
typedef KernelTransform2< TScalarType, NDimensions >	Superclass
typedef SmartPointer< Self >	Pointer
typedef SmartPointer< const Self >	ConstPointer
typedef Superclass::ScalarType	ScalarType
typedef Superclass::ParametersType	ParametersType
typedef Superclass::JacobianType	JacobianType
typedef Superclass::InputPointType	InputPointType
typedef Superclass::OutputPointType	OutputPointType
typedef Superclass::InputVectorType	InputVectorType
typedef Superclass::OutputVectorType	OutputVectorType
typedef Superclass::InputCovariantVectorType	InputCovariantVectorType
typedef Superclass::OutputCovariantVectorType	OutputCovariantVectorType
typedef Superclass::PointsIterator	PointsIterator

Protected Types

	Name
typedef Superclass::GMatrixType	GMatrixType

Public Functions

	Name
	itkNewMacro(Self )
	itkTypeMacro(ThinPlateSplineKernelTransform2 , KernelTransform2 )
	itkStaticConstMacro(SpaceDimension , unsigned int , Superclass::SpaceDimension )
void	SetSigma(double sigma)

Protected Functions

	Name
	ThinPlateSplineKernelTransform2()
virtual	~ThinPlateSplineKernelTransform2()
virtual void	ComputeG(const InputVectorType & x, GMatrixType & GMatrix) const
virtual void	ComputeDeformationContribution(const InputPointType & inputPoint, OutputPointType & result) const

Additional inherited members

Public Types inherited from itk::KernelTransform2< TScalarType, 3 >

	Name
typedef Superclass::NumberOfParametersType	NumberOfParametersType
typedef Superclass::InputVnlVectorType	InputVnlVectorType
typedef Superclass::OutputVnlVectorType	OutputVnlVectorType
typedef Superclass ::NonZeroJacobianIndicesType	NonZeroJacobianIndicesType
typedef Superclass::SpatialJacobianType	SpatialJacobianType
typedef Superclass ::JacobianOfSpatialJacobianType	JacobianOfSpatialJacobianType
typedef Superclass::SpatialHessianType	SpatialHessianType
typedef Superclass ::JacobianOfSpatialHessianType	JacobianOfSpatialHessianType
typedef Superclass::InternalMatrixType	InternalMatrixType
typedef DefaultStaticMeshTraits< TScalarType, NDimensions, NDimensions, TScalarType, TScalarType >	PointSetTraitsType
typedef PointSet< InputPointType, NDimensions, PointSetTraitsType >	PointSetType
typedef PointSetType::Pointer	PointSetPointer
typedef PointSetType::PointsContainer	PointsContainer
typedef PointSetType::PointsContainerConstIterator	PointsConstIterator
typedef VectorContainer< unsigned long, InputVectorType >	VectorSetType
typedef VectorSetType::Pointer	VectorSetPointer
typedef vnl_matrix_fixed< TScalarType, NDimensions, NDimensions >	IMatrixType
typedef vnl_matrix< TScalarType >	LMatrixType
typedef vnl_matrix< TScalarType >	KMatrixType
typedef vnl_matrix< TScalarType >	PMatrixType
typedef vnl_matrix< TScalarType >	YMatrixType
typedef vnl_matrix< TScalarType >	WMatrixType
typedef vnl_matrix< TScalarType >	DMatrixType
typedef vnl_matrix_fixed< TScalarType, NDimensions, NDimensions >	AMatrixType
typedef vnl_vector_fixed< TScalarType, NDimensions >	BMatrixType
typedef vnl_matrix_fixed< TScalarType, 1, NDimensions >	RowMatrixType
typedef vnl_matrix_fixed< TScalarType, NDimensions, 1 >	ColumnMatrixType

Protected Types inherited from itk::KernelTransform2< TScalarType, 3 >

	Name
typedef vnl_svd< ScalarType >	SVDDecompositionType
typedef vnl_qr< ScalarType >	QRDecompositionType

Public Functions inherited from itk::KernelTransform2< TScalarType, 3 >

	Name
virtual NumberOfParametersType	GetNumberOfParameters(void ) const
	itkGetObjectMacro(SourceLandmarks , PointSetType )
virtual void	SetSourceLandmarks(PointSetType * )
	itkGetObjectMacro(TargetLandmarks , PointSetType )
virtual void	SetTargetLandmarks(PointSetType * )
	itkGetObjectMacro(Displacements , VectorSetType )
void	ComputeWMatrix(void )
void	ComputeLInverse(void )
virtual OutputPointType	TransformPoint(const InputPointType & thisPoint) const
virtual OutputVectorType	TransformVector(const InputVectorType & ) const
virtual OutputVnlVectorType	TransformVector(const InputVnlVectorType & ) const
virtual OutputCovariantVectorType	TransformCovariantVector(const InputCovariantVectorType & ) const
virtual void	GetJacobian(const InputPointType & , JacobianType & , NonZeroJacobianIndicesType & ) const
virtual void	SetIdentity(void )
virtual void	SetParameters(const ParametersType & )
virtual void	SetFixedParameters(const ParametersType & )
virtual void	UpdateParameters(void )
virtual const ParametersType &	GetParameters(void ) const
virtual const ParametersType &	GetFixedParameters(void ) const
virtual void	SetStiffness(double stiffness)
	itkGetMacro(Stiffness , double )
virtual void	SetAlpha(TScalarType itkNotUsedAlpha)
virtual TScalarType	GetAlpha(void ) const
	itkSetMacro(PoissonRatio , TScalarType )
virtual const TScalarType	GetPoissonRatio(void ) const
	itkSetMacro(MatrixInversionMethod , std::string )
	itkGetConstReferenceMacro(MatrixInversionMethod , std::string )
virtual void	GetSpatialJacobian(const InputPointType & ipp, SpatialJacobianType & sj) const
virtual void	GetSpatialHessian(const InputPointType & ipp, SpatialHessianType & sh) 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 void	GetJacobianOfSpatialHessian(const InputPointType & ipp, JacobianOfSpatialHessianType & jsh, NonZeroJacobianIndicesType & nonZeroJacobianIndices) const
virtual void	GetJacobianOfSpatialHessian(const InputPointType & ipp, SpatialHessianType & sh, JacobianOfSpatialHessianType & jsh, NonZeroJacobianIndicesType & nonZeroJacobianIndices) const

Protected Functions inherited from itk::KernelTransform2< TScalarType, 3 >

	Name
	KernelTransform2()
virtual	~KernelTransform2()
void	PrintSelf(std::ostream & os, Indent indent) const
virtual void	ComputeReflexiveG(PointsIterator , GMatrixType & GMatrix) const
void	ComputeK(void )
void	ComputeL(void )
void	ComputeP(void )
void	ComputeY(void )
void	ComputeD(void )
void	ReorganizeW(void )

Public Attributes inherited from itk::KernelTransform2< TScalarType, 3 >

	Name
PointSetPointer	m_SourceLandmarks
PointSetPointer	m_TargetLandmarks

Protected Attributes inherited from itk::KernelTransform2< TScalarType, 3 >

	Name
double	m_Stiffness
VectorSetPointer	m_Displacements
LMatrixType	m_LMatrix
LMatrixType	m_LMatrixInverse
KMatrixType	m_KMatrix
PMatrixType	m_PMatrix
YMatrixType	m_YMatrix
WMatrixType	m_WMatrix
DMatrixType	m_DMatrix
AMatrixType	m_AMatrix
BMatrixType	m_BVector
bool	m_WMatrixComputed
bool	m_LMatrixComputed
bool	m_LInverseComputed
bool	m_LMatrixDecompositionComputed
SVDDecompositionType *	m_LMatrixDecompositionSVD
QRDecompositionType *	m_LMatrixDecompositionQR
IMatrixType	m_I
NonZeroJacobianIndicesType	m_NonZeroJacobianIndices
NonZeroJacobianIndicesType	m_NonZeroJacobianIndicesTemp
bool	m_FastComputationPossible

Public Types inherited from itk::AdvancedTransform< TScalarType, NDimensions, NDimensions >

	Name
typedef Superclass::ParametersValueType	ParametersValueType
typedef Superclass::NumberOfParametersType	NumberOfParametersType
typedef Superclass::DerivativeType	DerivativeType
typedef Superclass::InputVnlVectorType	InputVnlVectorType
typedef Superclass::OutputVnlVectorType	OutputVnlVectorType
typedef Superclass::InverseTransformBaseType	InverseTransformBaseType
typedef Superclass::InverseTransformBasePointer	InverseTransformBasePointer
typedef Transform< TScalarType, NInputDimensions, NOutputDimensions >	TransformType
typedef TransformType::Pointer	TransformTypePointer
typedef TransformType::ConstPointer	TransformTypeConstPointer
typedef std::vector< unsigned long >	NonZeroJacobianIndicesType
typedef Matrix< ScalarType, OutputSpaceDimension, InputSpaceDimension >	SpatialJacobianType
typedef std::vector< SpatialJacobianType >	JacobianOfSpatialJacobianType
typedef FixedArray< Matrix< ScalarType, InputSpaceDimension, InputSpaceDimension >, OutputSpaceDimension >	SpatialHessianType
typedef std::vector< SpatialHessianType >	JacobianOfSpatialHessianType
typedef SpatialJacobianType::InternalMatrixType	InternalMatrixType
typedef OutputCovariantVectorType	MovingImageGradientType
typedef MovingImageGradientType::ValueType	MovingImageGradientValueType

Public Functions inherited from itk::AdvancedTransform< TScalarType, NDimensions, NDimensions >

	Name
virtual NumberOfParametersType	GetNumberOfNonZeroJacobianIndices(void ) const
	itkGetConstMacro(HasNonZeroSpatialHessian , bool )
	itkGetConstMacro(HasNonZeroJacobianOfSpatialHessian , bool )
virtual void	GetJacobian(const InputPointType & ipp, JacobianType & j, NonZeroJacobianIndicesType & nonZeroJacobianIndices) const =0
virtual void	EvaluateJacobianWithImageGradientProduct(const InputPointType & ipp, const MovingImageGradientType & movingImageGradient, DerivativeType & imageJacobian, NonZeroJacobianIndicesType & nonZeroJacobianIndices) const
virtual void	GetSpatialJacobian(const InputPointType & ipp, SpatialJacobianType & sj) const =0
virtual void	ComputeJacobianWithRespectToParameters(const InputPointType & itkNotUsedp, JacobianType & itkNotUsedj) const
virtual void	ComputeJacobianWithRespectToPosition(const InputPointType & itkNotUsedp, JacobianType & itkNotUsedj) const
virtual void	GetSpatialHessian(const InputPointType & ipp, SpatialHessianType & sh) 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 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

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

	Name
	AdvancedTransform()
	AdvancedTransform(NumberOfParametersType numberOfParameters)
virtual	~AdvancedTransform()

Protected Attributes inherited from itk::AdvancedTransform< TScalarType, NDimensions, NDimensions >

	Name
bool	m_HasNonZeroSpatialHessian
bool	m_HasNonZeroJacobianOfSpatialHessian

Detailed Description

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

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

Public Types Documentation

typedef Self

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

Standard class typedefs.

typedef Superclass

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

typedef Pointer

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

typedef ConstPointer

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

typedef ScalarType

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

Scalar type.

typedef ParametersType

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

Parameters type.

typedef JacobianType

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

Jacobian Type

typedef InputPointType

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

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

typedef OutputPointType

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

typedef InputVectorType

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

typedef OutputVectorType

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

typedef InputCovariantVectorType

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

typedef OutputCovariantVectorType

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

typedef PointsIterator

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

Protected Types Documentation

typedef GMatrixType

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

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

Public Functions Documentation

function itkNewMacro

itkNewMacro(
    Self 
)

New macro for creation of through a Smart Pointer

function itkTypeMacro

itkTypeMacro(
    ThinPlateSplineKernelTransform2 ,
    KernelTransform2 
)

Run-time type information (and related methods).

function itkStaticConstMacro

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

Dimension of the domain space.

function SetSigma

inline void SetSigma(
    double sigma
)

Protected Functions Documentation

function ThinPlateSplineKernelTransform2

inline ThinPlateSplineKernelTransform2()

function ~ThinPlateSplineKernelTransform2

inline virtual ~ThinPlateSplineKernelTransform2()

function ComputeG

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

Reimplements: itk::KernelTransform2::ComputeG

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.

function ComputeDeformationContribution

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

Reimplements: itk::KernelTransform2::ComputeDeformationContribution

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

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Updated on 2022-07-23 at 16:40:06 -0600