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itk::Transform< TScalarType, NInputDimensions, NOutputDimensions > Class Template Reference
[Transforms]

Transform points and vector from an input space to an output space. More...

#include <itkTransform.h>

Inheritance diagram for itk::Transform:

[legend]Collaboration diagram for itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >:

[legend]List of all members.

Public Types
typedef Transform	Self
typedef Object	Superclass
typedef SmartPointer< Self >	Pointer
typedef SmartPointer< const Self >	ConstPointer
typedef TScalarType	ScalarType
typedef Array< double >	ParametersType
typedef Array2D< double >	JacobianType
typedef Vector< TScalarType, NInputDimensions >	InputVectorType
typedef Vector< TScalarType, NOutputDimensions >	OutputVectorType
typedef CovariantVector< TScalarType, NInputDimensions >	InputCovariantVectorType
typedef CovariantVector< TScalarType, NOutputDimensions >	OutputCovariantVectorType
typedef vnl_vector_fixed< TScalarType, NInputDimensions >	InputVnlVectorType
typedef vnl_vector_fixed< TScalarType, NOutputDimensions >	OutputVnlVectorType
typedef Point< TScalarType, NInputDimensions >	InputPointType
typedef Point< TScalarType, NOutputDimensions >	OutputPointType
Public Methods
virtual const char *	GetClassName () const
virtual OutputPointType	TransformPoint (const InputPointType &) const
virtual OutputVectorType	TransformVector (const InputVectorType &) const
virtual OutputVnlVectorType	TransformVector (const InputVnlVectorType &) const
virtual OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const
virtual void	SetParameters (const ParametersType &)
virtual unsigned int	GetNumberOfParameters (void) const

	itkStaticConstMacro (InputSpaceDimension, unsigned int, NInputDimensions)
	itkStaticConstMacro (OutputSpaceDimension, unsigned int, NOutputDimensions)

virtual const ParametersType &	GetParameters (void) const

virtual const JacobianType &	GetJacobian (const InputPointType &) const
Static Public Methods
Pointer	New ()
Protected Methods
	Transform ()
	Transform (unsigned int Dimension, unsigned int NumberOfParameters)
virtual	~Transform ()
Protected Attributes
ParametersType	m_Parameters
JacobianType	m_Jacobian

Detailed Description

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
class itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >

Transform points and vector from an input space to an output space.

This abstract class define the generic interface for a geometrical transformation from one space to another. The class provides methods for mapping points, vectors and covariant vectors from the input space to the output space.

Given that transformation are not necesarily invertible, this basic class does not provide the methods for back transfromation. Back transform methods are implemented in derived classes where appropriate.

Registration Framework Support: Typically a Transform class have several methods for setting its parameters. For use in the registration framework, the parameters must also be represented by an array of doubles to allow communication with generic optimizers. The Array of transformation parameters is set using the SetParameters() method.

Another requirement of the registration framework is the computation of the transform Jacobian. In general, a ImageToImageMetric requires the knowledge of the Jacobian in order to compute the metric derivatives. The Jacobian is a matrix whose element are the partial derivatives of the output point with respect to the array of parameters that defines the transform.

Definition at line 66 of file itkTransform.h.

Member Typedef Documentation

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef CovariantVector<TScalarType, NOutputDimensions> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::OutputCovariantVectorType

Reimplemented in itk::AffineTransform< TScalarType, NDimensions >, itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, itk::CenteredAffineTransform< TScalarType, NDimensions >, itk::CenteredRigid2DTransform< TScalarType >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::Euler2DTransform< TScalarType >, itk::Euler3DTransform< TScalarType >, itk::IdentityTransform< TScalarType, NDimensions >, itk::Rigid2DTransform< TScalarType >, itk::Rigid3DTransform< TScalarType >, itk::ScaleTransform< TScalarType, NDimensions >, itk::Similarity2DTransform< TScalarType >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >, itk::TranslationTransform< TScalarType, NDimensions >, itk::VersorRigid3DTransform< TScalarType >, itk::VersorTransform< TScalarType >, and itk::VolumeSplineKernelTransform< TScalarType, NDimensions >.
Definition at line 101 of file itkTransform.h.

Constructor & Destructor Documentation

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::Transform ( ) [protected]

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::Transform ( unsigned int Dimension,

unsigned int NumberOfParameters

) [protected]

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::~Transform ( ) [inline, protected, virtual]

Definition at line 179 of file itkTransform.h.

Member Function Documentation

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual unsigned int itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::GetNumberOfParameters ( void ) const [inline, virtual]

Return the number of parameters that completely define the Transfom
Reimplemented in itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, and itk::TranslationTransform< TScalarType, NDimensions >.
Definition at line 172 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::itkStaticConstMacro ( OutputSpaceDimension ,

unsigned int,

NOutputDimensions

)

Dimension of the domain space.
Reimplemented in itk::IdentityTransform< TScalarType, NDimensions >.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::itkStaticConstMacro ( InputSpaceDimension ,

unsigned int,

NInputDimensions

)

Dimension of the domain space.
Reimplemented in itk::IdentityTransform< TScalarType, NDimensions >.

Member Data Documentation

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

JacobianType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::m_Jacobian [protected]

Definition at line 183 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

ParametersType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::m_Parameters [protected]

Definition at line 182 of file itkTransform.h.

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

itkTransform.h

Generated at Fri May 21 01:42:53 2004 for ITK by

itk::Transform< TScalarType, NInputDimensions, NOutputDimensions > Class Template Reference [Transforms]

Public Types

Public Methods

Static Public Methods

Protected Methods

Protected Attributes