#include <itkElasticBodySplineKernelTransform2.h>

Detailed Description

template<typename 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 >:

[legend]

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< double, 3 >
using	AMatrixType
using	BMatrixType
using	ColumnMatrixType
using	ConstPointer
using	DMatrixType
using	GMatrixType
using	IMatrixType
typedef typename SpatialJacobianType::InternalMatrixType	InternalMatrixType
typedef std::vector< SpatialHessianType >	JacobianOfSpatialHessianType
typedef std::vector< SpatialJacobianType >	JacobianOfSpatialJacobianType
using	KMatrixType
using	LMatrixType
typedef std::vector< uint64_t >	NonZeroJacobianIndicesType
using	PMatrixType
using	Pointer
using	PointsConstIterator
using	PointsContainer
using	PointSetPointer
using	PointSetTraitsType
using	PointSetType
using	PointsIterator
using	RowMatrixType
using	Self
typedef FixedArray< Matrix< ScalarType, InputSpaceDimension, InputSpaceDimension >, OutputSpaceDimension >	SpatialHessianType
typedef Matrix< ScalarType, OutputSpaceDimension, InputSpaceDimension >	SpatialJacobianType
using	Superclass
using	VectorSetPointer
using	VectorSetType
using	WMatrixType
using	YMatrixType
Public Types inherited from itk::AdvancedTransform< double, NDimensions, NDimensions >
using	ConstPointer
using	InternalMatrixType
using	InverseTransformBaseType
using	JacobianOfSpatialHessianType
using	JacobianOfSpatialJacobianType
using	MovingImageGradientType
using	MovingImageGradientValueType
using	NonZeroJacobianIndicesType
using	Pointer
using	Self
using	SpatialHessianType
using	SpatialJacobianType
using	Superclass
using	TransformType
using	TransformTypeConstPointer
using	TransformTypePointer

Public Member Functions
virtual TScalarType	GetAlpha () const
const TScalarType	GetPoissonRatio () const override
	ITK_DISALLOW_COPY_AND_MOVE (ElasticBodySplineKernelTransform2)
	itkOverrideGetNameOfClassMacro (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< double, 3 >
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	GetJacobianOfSpatialJacobian (const InputPointType &, 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 (SourceLandmarks, PointSetType)
	itkOverrideGetNameOfClassMacro (KernelTransform2)
	itkStaticConstMacro (SpaceDimension, unsigned int, NDimensions)
virtual void	SetAlpha (double)
void	SetFixedParameters (const ParametersType &) override
virtual void	SetIdentity ()
virtual void	SetMatrixInversionMethod (std::string _arg)
void	SetParameters (const ParametersType &) override
virtual void	SetPoissonRatio (double _arg)
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
virtual void	UpdateParameters ()
Public Member Functions inherited from itk::AdvancedTransform< double, 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)
	itkOverrideGetNameOfClassMacro (AdvancedTransform)
	itkStaticConstMacro (InputSpaceDimension, unsigned int, NInputDimensions)

Static Public Member Functions
static Pointer	New ()
Static Public Member Functions inherited from itk::KernelTransform2< double, 3 >
static Pointer	New ()

Protected Types
using	GMatrixType
Protected Types inherited from itk::KernelTransform2< double, 3 >
using	QRDecompositionType
using	SVDDecompositionType

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< double, 3 >
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 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< double, NDimensions, NDimensions >
	AdvancedTransform ()=default
	~AdvancedTransform () override=default

Protected Attributes
TScalarType	m_Alpha {}
Protected Attributes inherited from itk::KernelTransform2< double, 3 >
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< double, NDimensions, NDimensions >
bool	m_HasNonZeroJacobianOfSpatialHessian
bool	m_HasNonZeroSpatialHessian

Additional Inherited Members
Public Attributes inherited from itk::KernelTransform2< double, 3 >
PointSetPointer	m_SourceLandmarks
PointSetPointer	m_TargetLandmarks

Member Typedef Documentation

◆ ConstPointer

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

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

protected

'G' matrix typedef.

Definition at line 365 of file itkKernelTransform2.h.

◆ Pointer

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

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

Definition at line 65 of file itkElasticBodySplineKernelTransform2.h.

◆ Self

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

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

protected

◆ ~ElasticBodySplineKernelTransform2()

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

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

overrideprotecteddefault

Member Function Documentation

◆ ComputeG()

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

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

overrideprotected

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.

◆ GetAlpha()

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

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

virtual

Get alpha

◆ GetPoissonRatio()

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

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

inlineoverridevirtual

Reimplemented from itk::KernelTransform2< double, 3 >.

Definition at line 115 of file itkElasticBodySplineKernelTransform2.h.

◆ ITK_DISALLOW_COPY_AND_MOVE()

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

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

◆ itkOverrideGetNameOfClassMacro()

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

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

Run-time type information (and related methods).

◆ itkStaticConstMacro()

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

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

Dimension of the domain space.

◆ New()

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

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

static

New macro for creation of through a Smart Pointer

◆ PrintSelf()

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

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

overrideprotected

◆ SetAlpha()

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

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

inlineoverride

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

Definition at line 91 of file itkElasticBodySplineKernelTransform2.h.

◆ SetPoissonRatio()

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

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

inlineoverride

Convenience method

Definition at line 105 of file itkElasticBodySplineKernelTransform2.h.

Member Data Documentation

◆ m_Alpha

template<typename 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()

◆ GetPoissonRatio()

◆ ITK_DISALLOW_COPY_AND_MOVE()

◆ itkOverrideGetNameOfClassMacro()

◆ itkStaticConstMacro()

◆ New()

◆ PrintSelf()

◆ SetAlpha()

◆ SetPoissonRatio()

Member Data Documentation

◆ m_Alpha