#include <itkElasticBodySplineKernelTransform.h>

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

Collaboration diagram for itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >:

Public Types
typedef SmartPointer< const Self >	ConstPointer
typedef Superclass::InputCovariantVectorType	InputCovariantVectorType
typedef Superclass::InputPointType	InputPointType
typedef Superclass::InputVectorType	InputVectorType
typedef Superclass::JacobianType	JacobianType
typedef Superclass::OutputCovariantVectorType	OutputCovariantVectorType
typedef Superclass::OutputPointType	OutputPointType
typedef Superclass::OutputVectorType	OutputVectorType
typedef Superclass::ParametersType	ParametersType
typedef SmartPointer< Self >	Pointer
typedef Superclass::ScalarType	ScalarType
typedef ElasticBodySplineKernelTransform	Self
typedef KernelTransform < TScalarType, NDimensions >	Superclass
Public Types inherited from itk::KernelTransform< TScalarType, NDimensions >
typedef vnl_matrix_fixed < TScalarType, NDimensions, NDimensions >	AMatrixType
typedef vnl_vector_fixed < TScalarType, NDimensions >	BMatrixType
typedef vnl_matrix_fixed < TScalarType, NDimensions, 1 >	ColumnMatrixType
typedef vnl_matrix< TScalarType >	DMatrixType
typedef vnl_matrix_fixed < TScalarType, NDimensions, NDimensions >	IMatrixType
typedef Superclass::InputVnlVectorType	InputVnlVectorType
typedef vnl_matrix< TScalarType >	KMatrixType
typedef vnl_matrix< TScalarType >	LMatrixType
typedef Superclass::OutputVnlVectorType	OutputVnlVectorType
typedef vnl_matrix< TScalarType >	PMatrixType
typedef PointSetType::PointIdentifier	PointIdentifier
typedef PointSetType::PointsContainerConstIterator	PointsConstIterator
typedef PointSetType::PointsContainer	PointsContainer
typedef PointSetType::Pointer	PointSetPointer
typedef DefaultStaticMeshTraits < TScalarType, NDimensions, NDimensions, TScalarType, TScalarType >	PointSetTraitsType
typedef PointSet < InputPointType, NDimensions, PointSetTraitsType >	PointSetType
typedef PointSetType::PointsContainerIterator	PointsIterator
typedef vnl_matrix_fixed < TScalarType, 1, NDimensions >	RowMatrixType
typedef VectorSetType::Pointer	VectorSetPointer
typedef itk::VectorContainer < SizeValueType, InputVectorType >	VectorSetType
typedef vnl_matrix< TScalarType >	WMatrixType
typedef vnl_matrix< TScalarType >	YMatrixType
Public Types inherited from itk::Transform< TScalarType, NDimensions, NDimensions >
typedef Array < ParametersValueType >	DerivativeType
typedef Matrix< double, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)>	DirectionChangeMatrix
typedef DiffusionTensor3D < TScalarType >	InputDiffusionTensor3DType
typedef Matrix< double, itkGetStaticConstMacro(InputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)>	InputDirectionMatrix
typedef SymmetricSecondRankTensor < TScalarType, NInputDimensions >	InputSymmetricSecondRankTensorType
typedef VariableLengthVector < TScalarType >	InputVectorPixelType
typedef InverseTransformBaseType::Pointer	InverseTransformBasePointer
typedef Transform< TScalarType, NOutputDimensions, NInputDimensions >	InverseTransformBaseType
typedef Matrix< TScalarType, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)>	MatrixType
typedef Superclass::NumberOfParametersType	NumberOfParametersType
typedef DiffusionTensor3D < TScalarType >	OutputDiffusionTensor3DType
typedef Matrix< double, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(OutputSpaceDimension)>	OutputDirectionMatrix
typedef SymmetricSecondRankTensor < TScalarType, NOutputDimensions >	OutputSymmetricSecondRankTensorType
typedef VariableLengthVector < TScalarType >	OutputVectorPixelType
typedef Superclass::ParametersValueType	ParametersValueType
Public Types inherited from itk::TransformBase
Public Types inherited from itk::Object
Public Types inherited from itk::LightObject

Public Member Functions
virtual ::itk::LightObject::Pointer	CreateAnother (void) const
virtual TScalarType	GetAlpha () const
virtual const char *	GetNameOfClass () const
virtual void	SetAlpha (TScalarType _arg)
Public Member Functions inherited from itk::KernelTransform< TScalarType, NDimensions >
virtual void	ComputeJacobianWithRespectToParameters (const InputPointType &p, JacobianType &jacobian) const
virtual void	ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianType &) const
void	ComputeWMatrix (void)
virtual VectorSetType *	GetDisplacements ()
virtual const ParametersType &	GetFixedParameters (void) const
virtual const ParametersType &	GetParameters (void) const
virtual PointSetType *	GetSourceLandmarks ()
virtual PointSetType *	GetTargetLandmarks ()
virtual bool	IsLinear () const
virtual void	SetFixedParameters (const ParametersType &)
virtual void	SetParameters (const ParametersType &)
virtual void	SetSourceLandmarks (PointSetType *)
virtual void	SetTargetLandmarks (PointSetType *)
virtual OutputPointType	TransformPoint (const InputPointType &thisPoint) const
virtual OutputVnlVectorType	TransformVector (const InputVnlVectorType &) const
virtual void	UpdateParameters (void) const
virtual OutputVectorType	TransformVector (const InputVectorType &) const
virtual OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const
virtual void	SetStiffness (double _arg)
virtual double	GetStiffness () const
Public Member Functions inherited from itk::Transform< TScalarType, NDimensions, NDimensions >
virtual void	ComputeInverseJacobianWithRespectToPosition (const InputPointType &x, JacobianType &jacobian) const
virtual void	ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianType &) const
unsigned int	GetInputSpaceDimension (void) const
bool	GetInverse (Self *) const
virtual InverseTransformBasePointer	GetInverseTransform () const
virtual NumberOfParametersType	GetNumberOfLocalParameters (void) const
virtual NumberOfParametersType	GetNumberOfParameters (void) const
unsigned int	GetOutputSpaceDimension (void) const
virtual std::string	GetTransformTypeAsString () const
virtual bool	HasLocalSupport () const
	itkCloneMacro (Self)
virtual void	SetFixedParameters (const ParametersType &)=0
virtual void	SetParameters (const ParametersType &)=0
virtual void	SetParametersByValue (const ParametersType &p)
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, TScalarType factor=1.0)
virtual void	ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &) const

Static Public Member Functions
static Pointer	New ()

Static Public Attributes
static const unsigned int	SpaceDimension = Superclass::SpaceDimension
Static Public Attributes inherited from itk::KernelTransform< TScalarType, NDimensions >
Static Public Attributes inherited from itk::Transform< TScalarType, NDimensions, NDimensions >
static const unsigned int	InputSpaceDimension
static const unsigned int	OutputSpaceDimension

Protected Types
typedef Superclass::GMatrixType	GMatrixType

Protected Member Functions
virtual void	ComputeG (const InputVectorType &landmarkVector, GMatrixType &gmatrix) const
	ElasticBodySplineKernelTransform ()
void	PrintSelf (std::ostream &os, Indent indent) const
virtual	~ElasticBodySplineKernelTransform ()
Protected Member Functions inherited from itk::KernelTransform< TScalarType, NDimensions >
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 ()
void	ReorganizeW (void)
	KernelTransform ()
virtual	~KernelTransform ()
Protected Member Functions inherited from itk::Transform< TScalarType, NDimensions, NDimensions >
virtual LightObject::Pointer	InternalClone () const
OutputDiffusionTensor3DType	PreservationOfPrincipalDirectionDiffusionTensor3DReorientation (const InputDiffusionTensor3DType, const JacobianType) const
	Transform ()
	Transform (NumberOfParametersType NumberOfParameters)
virtual	~Transform ()
Protected Member Functions inherited from itk::TransformBase
	TransformBase ()
virtual	~TransformBase ()
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 inherited from itk::KernelTransform< TScalarType, NDimensions >
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< TScalarType, NDimensions, NDimensions >
DirectionChangeMatrix	m_DirectionChange
ParametersType	m_FixedParameters
ParametersType	m_Parameters
TScalarType	m_Alpha
	ElasticBodySplineKernelTransform (const Self &)
void	operator= (const Self &)

Additional Inherited Members

Detailed Description

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

This class defines the elastic body spline (EBS) transformation.

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 43 of file itkElasticBodySplineKernelTransform.h.

Member Typedef Documentation

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

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

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

Definition at line 53 of file itkElasticBodySplineKernelTransform.h.

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

typedef Superclass::GMatrixType itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::GMatrixType

protected

'G' matrix typedef.

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

Definition at line 92 of file itkElasticBodySplineKernelTransform.h.

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

typedef Superclass::InputCovariantVectorType itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::InputCovariantVectorType

Standard covariant vector type for this class

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

Definition at line 85 of file itkElasticBodySplineKernelTransform.h.

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

typedef Superclass::InputPointType itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::InputPointType

Standard coordinate point type for this class.

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

Definition at line 79 of file itkElasticBodySplineKernelTransform.h.

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

typedef Superclass::InputVectorType itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::InputVectorType

Standard vector type for this class.

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

Definition at line 83 of file itkElasticBodySplineKernelTransform.h.

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

typedef Superclass::JacobianType itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::JacobianType

Jacobian type.

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

Definition at line 68 of file itkElasticBodySplineKernelTransform.h.

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

typedef Superclass::OutputCovariantVectorType itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::OutputCovariantVectorType

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

Definition at line 86 of file itkElasticBodySplineKernelTransform.h.

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

typedef Superclass::OutputPointType itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::OutputPointType

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

Definition at line 82 of file itkElasticBodySplineKernelTransform.h.

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

typedef Superclass::OutputVectorType itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::OutputVectorType

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

Definition at line 84 of file itkElasticBodySplineKernelTransform.h.

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

typedef Superclass::ParametersType itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::ParametersType

Parameters type.

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

Definition at line 65 of file itkElasticBodySplineKernelTransform.h.

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

typedef SmartPointer< Self > itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::Pointer

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

Definition at line 52 of file itkElasticBodySplineKernelTransform.h.

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

typedef Superclass::ScalarType itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::ScalarType

Scalar type.

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

Definition at line 59 of file itkElasticBodySplineKernelTransform.h.

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

typedef ElasticBodySplineKernelTransform itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::Self

Standard class typedefs.

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

Definition at line 48 of file itkElasticBodySplineKernelTransform.h.

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

typedef KernelTransform< TScalarType, NDimensions > itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::Superclass

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

Definition at line 50 of file itkElasticBodySplineKernelTransform.h.

Constructor & Destructor Documentation

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

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

protected

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

virtual itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::~ElasticBodySplineKernelTransform ( )

protectedvirtual

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

itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::ElasticBodySplineKernelTransform ( const Self & )

private

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

Member Function Documentation

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

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

protectedvirtual

Compute G(x) For the elastic body spline, this is: $ G(x) = [alpha*r(x)^2*I - 3*x*x']*r(x) $ $G(x) = [\alpha*r(x)^2*I - 3*x*x']*r(x)$ where $\alpha = 12 ( 1 - \nu ) - 1$ $\nu$ is Poisson's Ratio $ r(x) = Euclidean norm = sqrt[x1^2 + x2^2 + x3^2] $

$r(x) = \sqrt{ x_1^2 + x_2^2 + x_3^2 }$

I = identity matrix

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

virtual::itk::LightObject::Pointer itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::CreateAnother ( void ) 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::KernelTransform< TScalarType, NDimensions >.

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

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

virtual

Get alpha

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

virtual const char* itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::GetNameOfClass ( ) const

virtual

Run-time type information (and related methods).

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

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

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

static

New macro for creation of through a Smart Pointer

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

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

void itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::operator= ( const Self & )

private

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

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

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

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

protectedvirtual

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.

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

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

virtual void itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::SetAlpha ( TScalarType _arg )

virtual

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

Member Data Documentation

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

TScalarType itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::m_Alpha

protected

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

Definition at line 109 of file itkElasticBodySplineKernelTransform.h.

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

const unsigned int itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::SpaceDimension = Superclass::SpaceDimension

static

Dimension of the domain space.

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

Definition at line 71 of file itkElasticBodySplineKernelTransform.h.

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

itkElasticBodySplineKernelTransform.h

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Types

Protected Member Functions

Additional Inherited Members

Detailed Description

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

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

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