itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions > Class Template Reference
[Transforms]

#include <itkThinPlateR2LogRSplineKernelTransform.h>

Inheritance diagram for itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >:

[legend]Collaboration diagram for itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >:

[legend]List of all members.

Public Types
typedef ThinPlateR2LogRSplineKernelTransform	Self
typedef KernelTransform< 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
Public Member Functions
virtual const char *	GetNameOfClass () const
	itkStaticConstMacro (SpaceDimension, unsigned int, Superclass::SpaceDimension)
Static Public Member Functions
Pointer	New ()
Protected Types
typedef Superclass::GMatrixType	GMatrixType
Protected Member Functions
	ThinPlateR2LogRSplineKernelTransform ()
virtual	~ThinPlateR2LogRSplineKernelTransform ()
const GMatrixType &	ComputeG (const InputVectorType &x) const
virtual void	ComputeDeformationContribution (const InputPointType &inputPoint, OutputPointType &result) const

---

Detailed Description

template<class TScalarType, unsigned int NDimensions = 3>
class itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >

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.

The kernel used in this variant of TPS is

Definition at line 36 of file itkThinPlateR2LogRSplineKernelTransform.h.

---

Member Typedef Documentation

template<class TScalarType, unsigned int NDimensions = 3> typedef SmartPointer<const Self> itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::ConstPointer

Reimplemented from itk::KernelTransform< TScalarType, NDimensions >. Definition at line 44 of file itkThinPlateR2LogRSplineKernelTransform.h.

template<class TScalarType, unsigned int NDimensions = 3> typedef Superclass::GMatrixType itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::GMatrixType [protected]

These (rather redundant) typedefs are needed because on SGI, typedefs are not inherited. Reimplemented from itk::KernelTransform< TScalarType, NDimensions >. Definition at line 81 of file itkThinPlateR2LogRSplineKernelTransform.h.

template<class TScalarType, unsigned int NDimensions = 3> typedef Superclass::InputCovariantVectorType itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::InputCovariantVectorType

Standard covariant vector type for this class Reimplemented from itk::Transform< TScalarType, NDimensions, NDimensions >. Definition at line 70 of file itkThinPlateR2LogRSplineKernelTransform.h.

template<class TScalarType, unsigned int NDimensions = 3> typedef Superclass::InputPointType itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::InputPointType

These (rather redundant) typedefs are needed because on SGI, typedefs are not inherited Reimplemented from itk::KernelTransform< TScalarType, NDimensions >. Definition at line 66 of file itkThinPlateR2LogRSplineKernelTransform.h.

template<class TScalarType, unsigned int NDimensions = 3> typedef Superclass::InputVectorType itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::InputVectorType

Standard vector type for this class. Reimplemented from itk::KernelTransform< TScalarType, NDimensions >. Definition at line 68 of file itkThinPlateR2LogRSplineKernelTransform.h.

template<class TScalarType, unsigned int NDimensions = 3> typedef Superclass::JacobianType itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::JacobianType

Jacobian Type Reimplemented from itk::KernelTransform< TScalarType, NDimensions >. Definition at line 59 of file itkThinPlateR2LogRSplineKernelTransform.h.

template<class TScalarType, unsigned int NDimensions = 3> typedef Superclass::OutputCovariantVectorType itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::OutputCovariantVectorType

Reimplemented from itk::Transform< TScalarType, NDimensions, NDimensions >. Definition at line 71 of file itkThinPlateR2LogRSplineKernelTransform.h.

template<class TScalarType, unsigned int NDimensions = 3> typedef Superclass::OutputPointType itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::OutputPointType

Reimplemented from itk::KernelTransform< TScalarType, NDimensions >. Definition at line 67 of file itkThinPlateR2LogRSplineKernelTransform.h.

template<class TScalarType, unsigned int NDimensions = 3> typedef Superclass::OutputVectorType itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::OutputVectorType

Reimplemented from itk::KernelTransform< TScalarType, NDimensions >. Definition at line 69 of file itkThinPlateR2LogRSplineKernelTransform.h.

template<class TScalarType, unsigned int NDimensions = 3> typedef Superclass::ParametersType itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::ParametersType

Parameters type. Reimplemented from itk::KernelTransform< TScalarType, NDimensions >. Definition at line 56 of file itkThinPlateR2LogRSplineKernelTransform.h.

template<class TScalarType, unsigned int NDimensions = 3> typedef SmartPointer<Self> itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::Pointer

Reimplemented from itk::KernelTransform< TScalarType, NDimensions >. Definition at line 43 of file itkThinPlateR2LogRSplineKernelTransform.h.

template<class TScalarType, unsigned int NDimensions = 3> typedef Superclass::PointsIterator itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::PointsIterator

Reimplemented from itk::KernelTransform< TScalarType, NDimensions >. Definition at line 72 of file itkThinPlateR2LogRSplineKernelTransform.h.

template<class TScalarType, unsigned int NDimensions = 3> typedef Superclass::ScalarType itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::ScalarType

Scalar type. Reimplemented from itk::KernelTransform< TScalarType, NDimensions >. Definition at line 53 of file itkThinPlateR2LogRSplineKernelTransform.h.

template<class TScalarType, unsigned int NDimensions = 3> typedef ThinPlateR2LogRSplineKernelTransform itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::Self

Standard class typedefs. Reimplemented from itk::KernelTransform< TScalarType, NDimensions >. Definition at line 41 of file itkThinPlateR2LogRSplineKernelTransform.h.

template<class TScalarType, unsigned int NDimensions = 3> typedef KernelTransform< TScalarType, NDimensions> itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::Superclass

Reimplemented from itk::KernelTransform< TScalarType, NDimensions >. Definition at line 42 of file itkThinPlateR2LogRSplineKernelTransform.h.

---

Constructor & Destructor Documentation

template<class TScalarType, unsigned int NDimensions = 3> itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::ThinPlateR2LogRSplineKernelTransform (   )  [inline, protected]

Definition at line 76 of file itkThinPlateR2LogRSplineKernelTransform.h.

template<class TScalarType, unsigned int NDimensions = 3> virtual itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::~ThinPlateR2LogRSplineKernelTransform (   )  [inline, protected, virtual]

Definition at line 77 of file itkThinPlateR2LogRSplineKernelTransform.h.

---

Member Function Documentation

template<class TScalarType, unsigned int NDimensions = 3> virtual void itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::ComputeDeformationContribution (  const InputPointType &  inputPoint, OutputPointType &  result )  const [protected, virtual]

Compute the contribution of the landmarks weighted by the kernel funcion to the global deformation of the space Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.

template<class TScalarType, unsigned int NDimensions = 3> const GMatrixType& itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::ComputeG (  const InputVectorType &  x  )  const [protected, virtual]

Compute G(x) For the thin plate spline, this is: G(x) = r(x)*I where r(x) = Euclidean norm = sqrt[x1^2 + x2^2 + x3^2] I = identity matrix. Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.

template<class TScalarType, unsigned int NDimensions = 3> virtual const char* itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::GetNameOfClass (   )  const [virtual]

Run-time type information (and related methods). Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.

template<class TScalarType, unsigned int NDimensions = 3> itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::itkStaticConstMacro (  SpaceDimension  , unsigned  int, Superclass::SpaceDimension  )

Dimension of the domain space.

template<class TScalarType, unsigned int NDimensions = 3> Pointer itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::New (   )  [static]

New macro for creation of through a Smart Pointer Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.

---

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

• itkThinPlateR2LogRSplineKernelTransform.h

---