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

Generic concept of transformation methods. 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 const ParametersType &	GetParameters (void) const
unsigned virtual int	GetNumberOfParameters (void) const

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

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 >

Generic concept of transformation methods.

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

Given that transformation are not necesarily invertible, this basic class provide the methods for back transfromation. Derived classes that implement non-invertible transformation should throw exceptions when appropriate.

Definition at line 53 of file itkTransform.h.

Member Typedef Documentation

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 169 of file itkTransform.h.

Member Function Documentation

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

virtual const JacobianType& itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::GetJacobian ( const InputPointType & ) const [inline, virtual]

Compute the Jacobian of the transformation
This method computes the Jacobian matrix of the transformation. given point or vector, returning the transformed point or vector. The rank of the Jacobian will also indicate if the transform is invertible at this point.
The Jacobian can be expressed as a set of partial derivatives of the output point components with respect to the parameters that defined the transform:

*
Reimplemented in itk::AffineTransform< TScalarType, NDimensions >, itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, itk::Euler2DTransform< TScalarType >, itk::IdentityTransform< TScalarType, NDimensions >, itk::KernelTransform< TScalarType, NDimensions >, itk::QuaternionRigidTransform< TScalarType >, itk::Rigid2DTransform< TScalarType >, itk::Rigid3DPerspectiveTransform< TScalarType >, itk::Rigid3DTransform< TScalarType >, itk::ScaleTransform< TScalarType, NDimensions >, itk::Similarity2DTransform< TScalarType >, itk::TranslationTransform< TScalarType, NDimensions >, itk::VersorRigid3DTransform< TScalarType >, and itk::VersorTransform< TScalarType >.
Definition at line 151 of file itkTransform.h.

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

unsigned virtual 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 162 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 174 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 172 of file itkTransform.h.

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

itkTransform.h

Generated at Wed Mar 12 01:21:04 2003 for ITK by

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

Public Types

Public Methods

Static Public Methods

Protected Methods

Protected Attributes