ITK  4.1.0
Insight Segmentation and Registration Toolkit
Public Types | Public Member Functions | Static Public Member Functions | Static Public Attributes | Protected Types | Protected Member Functions | Private Member Functions
itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions > Class Template Reference

#include <itkThinPlateR2LogRSplineKernelTransform.h>

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

List of all members.

Public Types

typedef SmartPointer< const SelfConstPointer
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< SelfPointer
typedef Superclass::PointsIterator PointsIterator
typedef Superclass::ScalarType ScalarType
typedef
ThinPlateR2LogRSplineKernelTransform 
Self
typedef KernelTransform
< TScalarType, NDimensions > 
Superclass

Public Member Functions

virtual ::itk::LightObject::Pointer CreateAnother (void) const
virtual const char * GetNameOfClass () const

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 ComputeDeformationContribution (const InputPointType &inputPoint, OutputPointType &result) const
virtual void ComputeG (const InputVectorType &landmarkVector, GMatrixType &gmatrix) const
 ThinPlateR2LogRSplineKernelTransform ()
virtual ~ThinPlateR2LogRSplineKernelTransform ()

Private Member Functions

void operator= (const Self &)
 ThinPlateR2LogRSplineKernelTransform (const Self &)

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 $ R^2 log(R) $

Definition at line 38 of file itkThinPlateR2LogRSplineKernelTransform.h.


Member Typedef Documentation

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

'G' matrix typedef.

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

Definition at line 77 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::KernelTransform< TScalarType, NDimensions >.

Definition at line 70 of file itkThinPlateR2LogRSplineKernelTransform.h.

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

Standard coordinate point type for this class.

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 61 of file itkThinPlateR2LogRSplineKernelTransform.h.

template<class TScalarType , unsigned int NDimensions = 3>
typedef Superclass::OutputCovariantVectorType itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::OutputCovariantVectorType
template<class TScalarType , unsigned int NDimensions = 3>
typedef Superclass::OutputPointType itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::OutputPointType
template<class TScalarType , unsigned int NDimensions = 3>
typedef Superclass::OutputVectorType itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::OutputVectorType
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 58 of file itkThinPlateR2LogRSplineKernelTransform.h.

template<class TScalarType , unsigned int NDimensions = 3>
typedef SmartPointer< Self > itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::Pointer
template<class TScalarType , unsigned int NDimensions = 3>
typedef Superclass::PointsIterator itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::PointsIterator
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 52 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 43 of file itkThinPlateR2LogRSplineKernelTransform.h.

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

Constructor & Destructor Documentation

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

Definition at line 74 of file itkThinPlateR2LogRSplineKernelTransform.h.

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

Definition at line 75 of file itkThinPlateR2LogRSplineKernelTransform.h.

template<class TScalarType , unsigned int NDimensions = 3>
itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::ThinPlateR2LogRSplineKernelTransform ( const Self ) [private]

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>
virtual void itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::ComputeG ( const InputVectorType landmarkVector,
GMatrixType gmatrix 
) const [protected, virtual]

Compute G(x) For the thin plate spline, this is: G(x) = r(x)*I $ G(x) = r(x)^2 log(r(x) ) *I $ where 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.

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

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

New macro for creation of through a Smart Pointer

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

template<class TScalarType , unsigned int NDimensions = 3>
void itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::operator= ( const Self ) [private]

Mutex lock to protect modification to the reference count

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


Member Data Documentation

template<class TScalarType , unsigned int NDimensions = 3>
const unsigned int itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::SpaceDimension = Superclass::SpaceDimension [static]

Dimension of the domain space.

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

Definition at line 64 of file itkThinPlateR2LogRSplineKernelTransform.h.


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