itk::CenteredRigid2DTransform< TScalarType > Class Template Reference
[Transforms]

CenteredRigid2DTransform of a vector space (e.g. space coordinates). More...

#include <itkCenteredRigid2DTransform.h>

Inheritance diagram for itk::CenteredRigid2DTransform< TScalarType >:

[legend]Collaboration diagram for itk::CenteredRigid2DTransform< TScalarType >:

[legend]List of all members.

Public Types
typedef CenteredRigid2DTransform	Self
typedef Rigid2DTransform< TScalarType >	Superclass
typedef SmartPointer< Self >	Pointer
typedef SmartPointer< const Self >	ConstPointer
typedef Superclass::ScalarType	ScalarType
typedef Superclass::ParametersType	ParametersType
typedef Superclass::JacobianType	JacobianType
typedef Superclass::OffsetType	OffsetType
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::InputVnlVectorType	InputVnlVectorType
typedef Superclass::OutputVnlVectorType	OutputVnlVectorType
Public Member Functions
virtual const char *	GetClassName () const
void	SetParameters (const ParametersType &parameters)
const ParametersType &	GetParameters (void) const
const JacobianType &	GetJacobian (const InputPointType &point) const
virtual void	SetIdentity (void)
	itkStaticConstMacro (SpaceDimension, unsigned int, 2)
	itkStaticConstMacro (OutputSpaceDimension, unsigned int, 2)
	itkStaticConstMacro (ParametersDimension, unsigned int, 5)
void	SetAngle (TScalarType angle)
void	SetAngleInDegrees (TScalarType angle)
virtual const TScalarType &	GetAngle ()
void	SetCenter (const InputPointType &center)
virtual const InputPointType &	GetCenter ()
void	SetTranslation (const OutputVectorType &translation)
virtual const OutputVectorType &	GetTranslation ()
Static Public Member Functions
Pointer	New ()
Protected Member Functions
	CenteredRigid2DTransform ()
	~CenteredRigid2DTransform ()
	CenteredRigid2DTransform (unsigned int outputSpaceDimension, unsigned int parametersDimension)
void	PrintSelf (std::ostream &os, Indent indent) const
virtual void	ComputeMatrixAndOffset (void)

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Detailed Description

template<class TScalarType = double>
class itk::CenteredRigid2DTransform< TScalarType >

CenteredRigid2DTransform of a vector space (e.g. space coordinates).

This transform applies a rigid transformation in 2D space The transformation is specified as a rotation around an arbitrary center and is followed by a translation.

The need for introducing this transform is that a rotation is not specified simply by an angle, as we use to think, but also by a center of rotation. We use to assume that the center of rotation is the origin of the coordinate system. This assumption, however does not usually hold in applications such as image registration.

In order to initialize this transform a user should provide the following

• Coordinates of the center of rotation in the input space
• Angle of rotation (in radians)
• Translation to be applied after the rotation.

With these parameters the transform applies first a translation that will move the center of rotation to be the new origin. Next, a rotation is performed around this origin. Then another translation is applied in order to move the origin back to the position of the center of rotation. Finally, the user-specified translation is applied. Note that the user-spedified translation is applied after the image has returned to the original coordinate system. If you want to rotate an image around its center, please specify a null translation and just set the center of rotation. This transform will take care internally of the two translations required to implement a rotation around an arbitrary point.

The serialization of parameters in this transform results in an array of five element ordered as follows

p[0] = angle p[1] = x coordinate of the centre p[2] = y coordinate of the centre p[3] = x component of the translation p[4] = y component of the translation

For convenience, an additional method is available for specifying the rotation in degrees instead of radians.

Definition at line 71 of file itkCenteredRigid2DTransform.h.

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Member Typedef Documentation

template<class TScalarType = double> typedef SmartPointer<const Self> itk::CenteredRigid2DTransform< TScalarType >::ConstPointer

Reimplemented from itk::Rigid2DTransform< TScalarType >. Reimplemented in itk::Similarity2DTransform< TScalarType >. Definition at line 79 of file itkCenteredRigid2DTransform.h.

template<class TScalarType = double> typedef Superclass::InputCovariantVectorType itk::CenteredRigid2DTransform< TScalarType >::InputCovariantVectorType

CovariantVector type. Reimplemented from itk::Rigid2DTransform< TScalarType >. Reimplemented in itk::Similarity2DTransform< TScalarType >. Definition at line 115 of file itkCenteredRigid2DTransform.h.

template<class TScalarType = double> typedef Superclass::InputPointType itk::CenteredRigid2DTransform< TScalarType >::InputPointType

Point type. Reimplemented from itk::Rigid2DTransform< TScalarType >. Reimplemented in itk::Similarity2DTransform< TScalarType >. Definition at line 107 of file itkCenteredRigid2DTransform.h. Referenced by itk::CenteredRigid2DTransform< TScalarType >::~CenteredRigid2DTransform().

template<class TScalarType = double> typedef Superclass::InputVectorType itk::CenteredRigid2DTransform< TScalarType >::InputVectorType

Vector type. Reimplemented from itk::Rigid2DTransform< TScalarType >. Reimplemented in itk::Similarity2DTransform< TScalarType >. Definition at line 111 of file itkCenteredRigid2DTransform.h.

template<class TScalarType = double> typedef Superclass::InputVnlVectorType itk::CenteredRigid2DTransform< TScalarType >::InputVnlVectorType

VnlVector type. Reimplemented from itk::Rigid2DTransform< TScalarType >. Reimplemented in itk::Similarity2DTransform< TScalarType >. Definition at line 119 of file itkCenteredRigid2DTransform.h.

template<class TScalarType = double> typedef Superclass::JacobianType itk::CenteredRigid2DTransform< TScalarType >::JacobianType

Jacobian type. Reimplemented from itk::Rigid2DTransform< TScalarType >. Reimplemented in itk::Similarity2DTransform< TScalarType >. Definition at line 101 of file itkCenteredRigid2DTransform.h.

template<class TScalarType = double> typedef Superclass::OffsetType itk::CenteredRigid2DTransform< TScalarType >::OffsetType

Offset type. Reimplemented from itk::Rigid2DTransform< TScalarType >. Reimplemented in itk::Similarity2DTransform< TScalarType >. Definition at line 104 of file itkCenteredRigid2DTransform.h.

template<class TScalarType = double> typedef Superclass::OutputCovariantVectorType itk::CenteredRigid2DTransform< TScalarType >::OutputCovariantVectorType

Reimplemented from itk::Rigid2DTransform< TScalarType >. Reimplemented in itk::Similarity2DTransform< TScalarType >. Definition at line 116 of file itkCenteredRigid2DTransform.h.

template<class TScalarType = double> typedef Superclass::OutputPointType itk::CenteredRigid2DTransform< TScalarType >::OutputPointType

Reimplemented from itk::Rigid2DTransform< TScalarType >. Reimplemented in itk::Similarity2DTransform< TScalarType >. Definition at line 108 of file itkCenteredRigid2DTransform.h.

template<class TScalarType = double> typedef Superclass::OutputVectorType itk::CenteredRigid2DTransform< TScalarType >::OutputVectorType

Reimplemented from itk::Rigid2DTransform< TScalarType >. Reimplemented in itk::Similarity2DTransform< TScalarType >. Definition at line 112 of file itkCenteredRigid2DTransform.h. Referenced by itk::CenteredRigid2DTransform< TScalarType >::~CenteredRigid2DTransform().

template<class TScalarType = double> typedef Superclass::OutputVnlVectorType itk::CenteredRigid2DTransform< TScalarType >::OutputVnlVectorType

Reimplemented from itk::Rigid2DTransform< TScalarType >. Reimplemented in itk::Similarity2DTransform< TScalarType >. Definition at line 120 of file itkCenteredRigid2DTransform.h.

template<class TScalarType = double> typedef Superclass::ParametersType itk::CenteredRigid2DTransform< TScalarType >::ParametersType

Parameters type. Reimplemented from itk::Rigid2DTransform< TScalarType >. Reimplemented in itk::Similarity2DTransform< TScalarType >. Definition at line 98 of file itkCenteredRigid2DTransform.h.

template<class TScalarType = double> typedef SmartPointer<Self> itk::CenteredRigid2DTransform< TScalarType >::Pointer

Reimplemented from itk::Rigid2DTransform< TScalarType >. Reimplemented in itk::Similarity2DTransform< TScalarType >. Definition at line 78 of file itkCenteredRigid2DTransform.h.

template<class TScalarType = double> typedef Superclass::ScalarType itk::CenteredRigid2DTransform< TScalarType >::ScalarType

Scalar type. Reimplemented from itk::Rigid2DTransform< TScalarType >. Reimplemented in itk::Similarity2DTransform< TScalarType >. Definition at line 95 of file itkCenteredRigid2DTransform.h.

template<class TScalarType = double> typedef CenteredRigid2DTransform itk::CenteredRigid2DTransform< TScalarType >::Self

Standard class typedefs. Reimplemented from itk::Rigid2DTransform< TScalarType >. Reimplemented in itk::Similarity2DTransform< TScalarType >. Definition at line 76 of file itkCenteredRigid2DTransform.h. Referenced by itk::CenteredRigid2DTransform< TScalarType >::~CenteredRigid2DTransform().

template<class TScalarType = double> typedef Rigid2DTransform< TScalarType > itk::CenteredRigid2DTransform< TScalarType >::Superclass

Reimplemented from itk::Rigid2DTransform< TScalarType >. Reimplemented in itk::Similarity2DTransform< TScalarType >. Definition at line 77 of file itkCenteredRigid2DTransform.h.

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Constructor & Destructor Documentation

template<class TScalarType = double> itk::CenteredRigid2DTransform< TScalarType >::CenteredRigid2DTransform (   )  [protected]

template<class TScalarType = double> itk::CenteredRigid2DTransform< TScalarType >::~CenteredRigid2DTransform (   )  [inline, protected]

Definition at line 163 of file itkCenteredRigid2DTransform.h. References itk::CenteredRigid2DTransform< TScalarType >::InputPointType, itk::CenteredRigid2DTransform< TScalarType >::OutputVectorType, and itk::CenteredRigid2DTransform< TScalarType >::Self.

template<class TScalarType = double> itk::CenteredRigid2DTransform< TScalarType >::CenteredRigid2DTransform (  unsigned int  outputSpaceDimension, unsigned int  parametersDimension )  [protected]

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Member Function Documentation

template<class TScalarType = double> virtual void itk::CenteredRigid2DTransform< TScalarType >::ComputeMatrixAndOffset (  void   )  [protected, virtual]

Compute the components of the rotation matrix and offset in the superclass. Reimplemented in itk::Similarity2DTransform< TScalarType >.

template<class TScalarType = double> virtual const TScalarType& itk::CenteredRigid2DTransform< TScalarType >::GetAngle (   )  [virtual]

Set the rotational part of the transform.

template<class TScalarType = double> virtual const InputPointType& itk::CenteredRigid2DTransform< TScalarType >::GetCenter (   )  [virtual]

Set and Get the center of rotation

template<class TScalarType = double> virtual const char* itk::CenteredRigid2DTransform< TScalarType >::GetClassName (   )  const [virtual]

Run-time type information (and related methods). Reimplemented from itk::Rigid2DTransform< TScalarType >. Reimplemented in itk::Similarity2DTransform< TScalarType >.

template<class TScalarType = double> const JacobianType& itk::CenteredRigid2DTransform< TScalarType >::GetJacobian (  const InputPointType &  point  )  const [virtual]

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. Reimplemented from itk::Rigid2DTransform< TScalarType >. Reimplemented in itk::Similarity2DTransform< TScalarType >.

template<class TScalarType = double> const ParametersType& itk::CenteredRigid2DTransform< TScalarType >::GetParameters (  void   )  const [virtual]

Get the parameters that uniquely define the transform This is typically used by optimizers. There are 3 parameters. The first one represents the rotation and the last two represents the offset. Reimplemented from itk::Transform< TScalarType, 2, 2 >. Reimplemented in itk::Similarity2DTransform< TScalarType >.

template<class TScalarType = double> virtual const OutputVectorType& itk::CenteredRigid2DTransform< TScalarType >::GetTranslation (   )  [virtual]

Set and Get the Translation to be applied after rotation

template<class TScalarType = double> itk::CenteredRigid2DTransform< TScalarType >::itkStaticConstMacro (  ParametersDimension  , unsigned  int, 5  )

Dimension of parameters.

template<class TScalarType = double> itk::CenteredRigid2DTransform< TScalarType >::itkStaticConstMacro (  OutputSpaceDimension  , unsigned  int, 2  )

Dimension of parameters. Reimplemented from itk::Rigid2DTransform< TScalarType >. Reimplemented in itk::Similarity2DTransform< TScalarType >.

template<class TScalarType = double> itk::CenteredRigid2DTransform< TScalarType >::itkStaticConstMacro (  SpaceDimension  , unsigned  int, 2  )

Dimension of parameters. Reimplemented in itk::Similarity2DTransform< TScalarType >.

template<class TScalarType = double> Pointer itk::CenteredRigid2DTransform< TScalarType >::New (   )  [static]

New macro for creation of through a Smart Pointer. Reimplemented from itk::Rigid2DTransform< TScalarType >. Reimplemented in itk::Similarity2DTransform< TScalarType >.

template<class TScalarType = double> void itk::CenteredRigid2DTransform< TScalarType >::PrintSelf (  std::ostream &  os, Indent  indent )  const [protected, virtual]

Print contents of an Rigid2DTransform Reimplemented from itk::Rigid2DTransform< TScalarType >. Reimplemented in itk::Similarity2DTransform< TScalarType >.

template<class TScalarType = double> void itk::CenteredRigid2DTransform< TScalarType >::SetAngle (  TScalarType  angle  )

Set the rotational part of the transform.

template<class TScalarType = double> void itk::CenteredRigid2DTransform< TScalarType >::SetAngleInDegrees (  TScalarType  angle  )

Set the rotational part of the transform.

template<class TScalarType = double> void itk::CenteredRigid2DTransform< TScalarType >::SetCenter (  const InputPointType &  center  )

Set and Get the center of rotation

template<class TScalarType = double> virtual void itk::CenteredRigid2DTransform< TScalarType >::SetIdentity (  void   )  [virtual]

Set the transformation to an Identity This sets the matrix to identity and the Offset to null. Reimplemented from itk::Rigid2DTransform< TScalarType >. Reimplemented in itk::Similarity2DTransform< TScalarType >.

template<class TScalarType = double> void itk::CenteredRigid2DTransform< TScalarType >::SetParameters (  const ParametersType &  parameters  )  [virtual]

Set the transformation from a container of parameters This is typically used by optimizers. There are 3 parameters. The first one represents the rotation and the last two represents the offset. Reimplemented from itk::Transform< TScalarType, 2, 2 >. Reimplemented in itk::Similarity2DTransform< TScalarType >.

template<class TScalarType = double> void itk::CenteredRigid2DTransform< TScalarType >::SetTranslation (  const OutputVectorType &  translation  )

Set and Get the Translation to be applied after rotation

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

• itkCenteredRigid2DTransform.h

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