#include <itkElasticBodySplineKernelTransform2.h>

Detailed Description

template<class TScalarType = double, unsigned int NDimensions = 3>
class itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >

This class defines the elastic body spline (EBS) 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 Taken from the paper: The EBS "is based on a physical model of a homogeneous, isotropic, three-dimensional elastic body. The model can approximate the way that some physical objects deform".

Definition at line 56 of file itkElasticBodySplineKernelTransform2.h.

Inheritance diagram for itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >:

Public Types
using	ConstPointer = SmartPointer< const Self >

using	Pointer = SmartPointer< Self >

using	Self = ElasticBodySplineKernelTransform2

using	Superclass = KernelTransform2< TScalarType, NDimensions >

Public Types inherited from itk::KernelTransform2< TScalarType, NDimensions >
using	AMatrixType = vnl_matrix_fixed< TScalarType, NDimensions, NDimensions >

using	BMatrixType = vnl_vector_fixed< TScalarType, NDimensions >

using	ColumnMatrixType = vnl_matrix_fixed< TScalarType, NDimensions, 1 >

using	ConstPointer = SmartPointer< const Self >

using	DMatrixType = vnl_matrix< TScalarType >

using	GMatrixType = vnl_matrix_fixed< TScalarType, NDimensions, NDimensions >

using	IMatrixType = vnl_matrix_fixed< TScalarType, NDimensions, NDimensions >

using	KMatrixType = vnl_matrix< TScalarType >

using	LMatrixType = vnl_matrix< TScalarType >

using	PMatrixType = vnl_matrix< TScalarType >

using	Pointer = SmartPointer< Self >

using	PointsConstIterator = typename PointSetType::PointsContainerConstIterator

using	PointsContainer = typename PointSetType::PointsContainer

using	PointSetPointer = typename PointSetType::Pointer

using	PointSetTraitsType = DefaultStaticMeshTraits< TScalarType, NDimensions, NDimensions, TScalarType, TScalarType >

using	PointSetType = PointSet< InputPointType, NDimensions, PointSetTraitsType >

using	PointsIterator = typename PointSetType::PointsContainerIterator

using	RowMatrixType = vnl_matrix_fixed< TScalarType, 1, NDimensions >

using	Self = KernelTransform2

using	Superclass = AdvancedTransform< TScalarType, NDimensions, NDimensions >

using	VectorSetPointer = typename VectorSetType::Pointer

using	VectorSetType = VectorContainer< unsigned long, InputVectorType >

using	WMatrixType = vnl_matrix< TScalarType >

using	YMatrixType = vnl_matrix< TScalarType >

Public Types inherited from itk::AdvancedTransform< TScalarType, NDimensions, NDimensions >
using	ConstPointer = SmartPointer< const Self >

using	InternalMatrixType = typename SpatialJacobianType::InternalMatrixType

using	InverseTransformBaseType = typename Superclass::InverseTransformBaseType

using	JacobianOfSpatialHessianType = std::vector< SpatialHessianType >

using	JacobianOfSpatialJacobianType = std::vector< SpatialJacobianType >

using	MovingImageGradientType = OutputCovariantVectorType

using	MovingImageGradientValueType = typename MovingImageGradientType::ValueType

using	NonZeroJacobianIndicesType = std::vector< unsigned long >

using	Pointer = SmartPointer< Self >

using	Self = AdvancedTransform

using	SpatialHessianType = FixedArray< Matrix< ScalarType, InputSpaceDimension, InputSpaceDimension >, OutputSpaceDimension >

using	SpatialJacobianType = Matrix< ScalarType, OutputSpaceDimension, InputSpaceDimension >

using	Superclass = Transform< TScalarType, NInputDimensions, NOutputDimensions >

using	TransformType = Transform< TScalarType, NInputDimensions, NOutputDimensions >

using	TransformTypeConstPointer = typename TransformType::ConstPointer

using	TransformTypePointer = typename TransformType::Pointer

Public Member Functions
virtual TScalarType	GetAlpha () const

virtual const char *	GetClassName () const

const TScalarType	GetPoissonRatio () const override

	ITK_DISALLOW_COPY_AND_MOVE (ElasticBodySplineKernelTransform2)

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

void	SetAlpha (TScalarType Alpha) override

void	SetPoissonRatio (const TScalarType Nu) override

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

void	ComputeWMatrix ()

const ParametersType &	GetFixedParameters () const override

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

void	GetJacobianOfSpatialHessian (const InputPointType &, JacobianOfSpatialHessianType &, NonZeroJacobianIndicesType &) const override

void	GetJacobianOfSpatialHessian (const InputPointType &, SpatialHessianType &, JacobianOfSpatialHessianType &, NonZeroJacobianIndicesType &) const override

void	GetJacobianOfSpatialJacobian (const InputPointType &, JacobianOfSpatialJacobianType &, NonZeroJacobianIndicesType &) const override

void	GetJacobianOfSpatialJacobian (const InputPointType &, SpatialJacobianType &, JacobianOfSpatialJacobianType &, NonZeroJacobianIndicesType &) const override

virtual const std::string &	GetMatrixInversionMethod ()

NumberOfParametersType	GetNumberOfParameters () const override

const ParametersType &	GetParameters () const override

void	GetSpatialHessian (const InputPointType &, SpatialHessianType &) const override

void	GetSpatialJacobian (const InputPointType &, SpatialJacobianType &) const override

virtual double	GetStiffness () const

	ITK_DISALLOW_COPY_AND_MOVE (KernelTransform2)

	itkGetModifiableObjectMacro (Displacements, VectorSetType)

	itkGetModifiableObjectMacro (SourceLandmarks, PointSetType)

	itkGetModifiableObjectMacro (TargetLandmarks, PointSetType)

	itkStaticConstMacro (SpaceDimension, unsigned int, NDimensions)

void	SetFixedParameters (const ParametersType &) override

virtual void	SetIdentity ()

virtual void	SetMatrixInversionMethod (std::string _arg)

void	SetParameters (const ParametersType &) override

virtual void	SetSourceLandmarks (PointSetType *)

virtual void	SetStiffness (double stiffness)

virtual void	SetTargetLandmarks (PointSetType *)

OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const override

OutputPointType	TransformPoint (const InputPointType &thisPoint) const override

OutputVectorType	TransformVector (const InputVectorType &) const override

OutputVnlVectorType	TransformVector (const InputVnlVectorType &) const override

virtual void	UpdateParameters ()

Public Member Functions inherited from itk::AdvancedTransform< TScalarType, NDimensions, NDimensions >
void	ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &) const override

virtual void	EvaluateJacobianWithImageGradientProduct (const InputPointType &inputPoint, const MovingImageGradientType &movingImageGradient, DerivativeType &imageJacobian, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const

virtual bool	GetHasNonZeroJacobianOfSpatialHessian () const

virtual bool	GetHasNonZeroSpatialHessian () const

virtual NumberOfParametersType	GetNumberOfNonZeroJacobianIndices () const

	ITK_DISALLOW_COPY_AND_MOVE (AdvancedTransform)

	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 ()

Protected Types
using	GMatrixType = vnl_matrix_fixed< TScalarType, NDimensions, NDimensions >

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

using	SVDDecompositionType = vnl_svd< ScalarType >

Protected Member Functions
void	ComputeG (const InputVectorType &x, GMatrixType &GMatrix) const override

	ElasticBodySplineKernelTransform2 ()

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

	~ElasticBodySplineKernelTransform2 () override=default

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

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

void	ComputeK ()

void	ComputeL ()

void	ComputeP ()

virtual void	ComputeReflexiveG (PointsIterator, GMatrixType &GMatrix) const

void	ComputeY ()

	KernelTransform2 ()

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

void	ReorganizeW ()

	~KernelTransform2 () override

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

	~AdvancedTransform () override=default

Protected Attributes
TScalarType	m_Alpha {}

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 {}

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

Additional Inherited Members
Data Fields inherited from itk::KernelTransform2< TScalarType, NDimensions >
PointSetPointer	m_SourceLandmarks {}

PointSetPointer	m_TargetLandmarks {}

Member Typedef Documentation

◆ ConstPointer

template<class TScalarType = double, unsigned int NDimensions = 3>

using itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::ConstPointer = SmartPointer<const Self>

Definition at line 66 of file itkElasticBodySplineKernelTransform2.h.

◆ GMatrixType

template<class TScalarType = double, unsigned int NDimensions = 3>

using itk::KernelTransform2< TScalarType, NDimensions >::GMatrixType = vnl_matrix_fixed<TScalarType, NDimensions, NDimensions>

protected

'G' matrix typedef.

Definition at line 365 of file itkKernelTransform2.h.

◆ Pointer

template<class TScalarType = double, unsigned int NDimensions = 3>

using itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::Pointer = SmartPointer<Self>

Definition at line 65 of file itkElasticBodySplineKernelTransform2.h.

◆ Self

template<class TScalarType = double, unsigned int NDimensions = 3>

using itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::Self = ElasticBodySplineKernelTransform2

Standard class typedefs.

Definition at line 62 of file itkElasticBodySplineKernelTransform2.h.

◆ Superclass

template<class TScalarType = double, unsigned int NDimensions = 3>

using itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::Superclass = KernelTransform2<TScalarType, NDimensions>

Definition at line 63 of file itkElasticBodySplineKernelTransform2.h.

Constructor & Destructor Documentation

◆ ElasticBodySplineKernelTransform2()

template<class TScalarType = double, unsigned int NDimensions = 3>

itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::ElasticBodySplineKernelTransform2 ( )

protected

◆ ~ElasticBodySplineKernelTransform2()

template<class TScalarType = double, unsigned int NDimensions = 3>

itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::~ElasticBodySplineKernelTransform2 ( )

overrideprotecteddefault

Member Function Documentation

◆ ComputeG()

template<class TScalarType = double, unsigned int NDimensions = 3>

void itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::ComputeG	(	const InputVectorType &	x,
		GMatrixType &	GMatrix
	)		const

overrideprotectedvirtual

Compute G(x) For the elastic body spline, this is:

$G(x) = [\alpha*r(x)^2*I - 3*x*x']*r(x)$

where $\alpha = 12 ( 1 - \nu ) - 1$ , $\nu$ is Poisson's Ratio, $r(x) = \sqrt{ x_1^2 + x_2^2 + x_3^2 }$ and is the identity matrix.

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

◆ GetAlpha()

template<class TScalarType = double, unsigned int NDimensions = 3>

virtual TScalarType itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::GetAlpha ( ) const

virtual

Get alpha

◆ GetClassName()

template<class TScalarType = double, unsigned int NDimensions = 3>

virtual const char * itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::GetClassName ( ) const

virtual

Run-time type information (and related methods).

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

◆ GetPoissonRatio()

template<class TScalarType = double, unsigned int NDimensions = 3>

const TScalarType itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::GetPoissonRatio ( ) const

inlineoverridevirtual

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

Definition at line 115 of file itkElasticBodySplineKernelTransform2.h.

◆ ITK_DISALLOW_COPY_AND_MOVE()

template<class TScalarType = double, unsigned int NDimensions = 3>

itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::ITK_DISALLOW_COPY_AND_MOVE ( ElasticBodySplineKernelTransform2< TScalarType, NDimensions > )

◆ itkStaticConstMacro()

template<class TScalarType = double, unsigned int NDimensions = 3>

itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::itkStaticConstMacro	(	SpaceDimension	,
		unsigned int	,
		Superclass::SpaceDimension
	)

Dimension of the domain space.

◆ New()

template<class TScalarType = double, unsigned int NDimensions = 3>

static Pointer itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::New ( )

static

New macro for creation of through a Smart Pointer

◆ PrintSelf()

template<class TScalarType = double, unsigned int NDimensions = 3>

void itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::PrintSelf	(	std::ostream &	os,
		Indent	indent
	)		const

overrideprotected

◆ SetAlpha()

template<class TScalarType = double, unsigned int NDimensions = 3>

void itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::SetAlpha ( TScalarType Alpha )

inlineoverridevirtual

Set alpha. Alpha is related to Poisson's Ratio ( $\nu$ ) as $\alpha = 12 ( 1 - \nu ) - 1$

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

Definition at line 91 of file itkElasticBodySplineKernelTransform2.h.

◆ SetPoissonRatio()

template<class TScalarType = double, unsigned int NDimensions = 3>

void itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::SetPoissonRatio ( const TScalarType Nu )

inlineoverridevirtual

Convenience method

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

Definition at line 105 of file itkElasticBodySplineKernelTransform2.h.

Field Documentation

◆ m_Alpha

template<class TScalarType = double, unsigned int NDimensions = 3>

TScalarType itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::m_Alpha {}

protected

alpha, Alpha is related to Poisson's Ratio $\nu$ as $\alpha = 12 ( 1 - \nu ) - 1$

Definition at line 154 of file itkElasticBodySplineKernelTransform2.h.

Detailed Description

Public Types

Public Member Functions

Static Public Member Functions

Protected Types

Protected Member Functions

Protected Attributes

Additional Inherited Members

Member Typedef Documentation

◆ ConstPointer

◆ GMatrixType

◆ Pointer

◆ Self

◆ Superclass

Constructor & Destructor Documentation

◆ ElasticBodySplineKernelTransform2()

◆ ~ElasticBodySplineKernelTransform2()

Member Function Documentation

◆ ComputeG()

◆ GetAlpha()

◆ GetClassName()

◆ GetPoissonRatio()

◆ ITK_DISALLOW_COPY_AND_MOVE()

◆ itkStaticConstMacro()

◆ New()

◆ PrintSelf()

◆ SetAlpha()

◆ SetPoissonRatio()

Field Documentation

◆ m_Alpha