#include <itkElasticBodyReciprocalSplineKernelTransform.h>

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

Collaboration diagram for itk::ElasticBodyReciprocalSplineKernelTransform< 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 ElasticBodyReciprocalSplineKernelTransform	Self
typedef KernelTransform < TScalarType, NDimensions >	Superclass
Public Member Functions
virtual ::itk::LightObject::Pointer	CreateAnother (void) const
virtual TScalarType	GetAlpha () const
virtual const char *	GetNameOfClass () const
virtual void	SetAlpha (TScalarType _arg)
Static Public Member Functions
static Pointer	New ()
Static Public Attributes
static const unsigned int	SpaceDimension = Superclass::SpaceDimension
Protected Types
typedef Superclass::GMatrixType	GMatrixType
Protected Member Functions
virtual void	ComputeG (const InputVectorType &landmarkVector, GMatrixType &gmatrix) const
	ElasticBodyReciprocalSplineKernelTransform ()
void	PrintSelf (std::ostream &os, Indent indent) const
virtual	~ElasticBodyReciprocalSplineKernelTransform ()
TScalarType	m_Alpha
	ElasticBodyReciprocalSplineKernelTransform (const Self &)
void	operator= (const Self &)

Detailed Description

template<class TScalarType = double, unsigned int NDimensions = 3>
class itk::ElasticBodyReciprocalSplineKernelTransform< 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 41 of file itkElasticBodyReciprocalSplineKernelTransform.h.

Member Typedef Documentation

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

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

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

Definition at line 51 of file itkElasticBodyReciprocalSplineKernelTransform.h.

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

typedef Superclass::GMatrixType itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >::GMatrixType [protected]

'G' matrix typedef.

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

Definition at line 90 of file itkElasticBodyReciprocalSplineKernelTransform.h.

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

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

Standard covariant vector type for this class

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

Definition at line 83 of file itkElasticBodyReciprocalSplineKernelTransform.h.

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

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

Standard coordinate point type for this class.

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

Definition at line 77 of file itkElasticBodyReciprocalSplineKernelTransform.h.

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

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

Standard vector type for this class.

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

Definition at line 81 of file itkElasticBodyReciprocalSplineKernelTransform.h.

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

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

Jacobian type.

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

Definition at line 66 of file itkElasticBodyReciprocalSplineKernelTransform.h.

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

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

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

Definition at line 84 of file itkElasticBodyReciprocalSplineKernelTransform.h.

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

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

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

Definition at line 80 of file itkElasticBodyReciprocalSplineKernelTransform.h.

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

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

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

Definition at line 82 of file itkElasticBodyReciprocalSplineKernelTransform.h.

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

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

Parameters type.

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

Definition at line 63 of file itkElasticBodyReciprocalSplineKernelTransform.h.

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

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

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

Definition at line 50 of file itkElasticBodyReciprocalSplineKernelTransform.h.

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

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

Scalar type.

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

Definition at line 57 of file itkElasticBodyReciprocalSplineKernelTransform.h.

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

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

Standard class typedefs.

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

Definition at line 46 of file itkElasticBodyReciprocalSplineKernelTransform.h.

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

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

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

Definition at line 48 of file itkElasticBodyReciprocalSplineKernelTransform.h.

Constructor & Destructor Documentation

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

itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >::ElasticBodyReciprocalSplineKernelTransform ( ) [protected]

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

virtual itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >::~ElasticBodyReciprocalSplineKernelTransform ( ) [protected, virtual]

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

itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >::ElasticBodyReciprocalSplineKernelTransform ( const Self & ) [private]

alpha, Poisson's ratio

Member Function Documentation

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

virtual void itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >::ComputeG	(	const InputVectorType &	landmarkVector,
		GMatrixType &	gmatrix
	)		const `[protected, virtual]`

Compute G(x) For the elastic body spline, this is: G(x) = [alpha*r(x)*I - 3*x*x'/r(x)] $G(x) = [\alpha*r(x)*I - 3*x*x'/r(x) ]$ where $\alpha = 8 ( 1 - \nu ) - 1$ $\nu$ 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::ElasticBodyReciprocalSplineKernelTransform< 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::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >::GetAlpha ( ) const [virtual]

Get alpha

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

virtual const char* itk::ElasticBodyReciprocalSplineKernelTransform< 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::ElasticBodyReciprocalSplineKernelTransform< 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::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >::operator= ( const Self & ) [private]

alpha, Poisson's ratio

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

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

void itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >::PrintSelf	(	std::ostream &	os,
		Indent	indent
	)		const `[protected, 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.

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

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

virtual void itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >::SetAlpha ( TScalarType _arg ) [virtual]

Set alpha. Alpha is related to Poisson's Ratio ( $\nu$ ) as $\alpha = 8 ( 1 - \nu ) - 1$

Member Data Documentation

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

TScalarType itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >::m_Alpha [protected]

alpha, Poisson's ratio

Definition at line 104 of file itkElasticBodyReciprocalSplineKernelTransform.h.

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

const unsigned int itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >::SpaceDimension = Superclass::SpaceDimension [static]

Dimension of the domain space.

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

Definition at line 69 of file itkElasticBodyReciprocalSplineKernelTransform.h.

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

itkElasticBodyReciprocalSplineKernelTransform.h

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Types

Protected Member Functions

Detailed Description

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

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

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