#include <itkTransform.h>

Inheritance diagram for itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >:

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

Public Types
typedef SmartPointer< const Self >	ConstPointer
typedef Array < ParametersValueType >	DerivativeType
typedef Matrix< double, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)>	DirectionChangeMatrix
typedef CovariantVector < TScalarType, NInputDimensions >	InputCovariantVectorType
typedef DiffusionTensor3D < TScalarType >	InputDiffusionTensor3DType
typedef Matrix< double, itkGetStaticConstMacro(InputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)>	InputDirectionMatrix
typedef Point< TScalarType, NInputDimensions >	InputPointType
typedef SymmetricSecondRankTensor < TScalarType, NInputDimensions >	InputSymmetricSecondRankTensorType
typedef VariableLengthVector < TScalarType >	InputVectorPixelType
typedef Vector< TScalarType, NInputDimensions >	InputVectorType
typedef vnl_vector_fixed < TScalarType, NInputDimensions >	InputVnlVectorType
typedef InverseTransformBaseType::Pointer	InverseTransformBasePointer
typedef Transform< TScalarType, NOutputDimensions, NInputDimensions >	InverseTransformBaseType
typedef Array2D < ParametersValueType >	JacobianType
typedef Matrix< TScalarType, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)>	MatrixType
typedef Superclass::NumberOfParametersType	NumberOfParametersType
typedef CovariantVector < TScalarType, NOutputDimensions >	OutputCovariantVectorType
typedef DiffusionTensor3D < TScalarType >	OutputDiffusionTensor3DType
typedef Matrix< double, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(OutputSpaceDimension)>	OutputDirectionMatrix
typedef Point< TScalarType, NOutputDimensions >	OutputPointType
typedef SymmetricSecondRankTensor < TScalarType, NOutputDimensions >	OutputSymmetricSecondRankTensorType
typedef VariableLengthVector < TScalarType >	OutputVectorPixelType
typedef Vector< TScalarType, NOutputDimensions >	OutputVectorType
typedef vnl_vector_fixed < TScalarType, NOutputDimensions >	OutputVnlVectorType
typedef Superclass::ParametersType	ParametersType
typedef Superclass::ParametersValueType	ParametersValueType
typedef SmartPointer< Self >	Pointer
typedef TScalarType	ScalarType
typedef Transform	Self
typedef TransformBase	Superclass
Public Types inherited from itk::TransformBase
Public Types inherited from itk::Object
Public Types inherited from itk::LightObject

Public Member Functions
virtual void	ComputeInverseJacobianWithRespectToPosition (const InputPointType &x, JacobianType &jacobian) const
virtual void	ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianType &) const
virtual const ParametersType &	GetFixedParameters (void) const
unsigned int	GetInputSpaceDimension (void) const
bool	GetInverse (Self *) const
virtual InverseTransformBasePointer	GetInverseTransform () const
virtual const char *	GetNameOfClass () const
virtual NumberOfParametersType	GetNumberOfLocalParameters (void) const
virtual NumberOfParametersType	GetNumberOfParameters (void) const
unsigned int	GetOutputSpaceDimension (void) const
virtual const ParametersType &	GetParameters (void) const
virtual std::string	GetTransformTypeAsString () const
virtual bool	HasLocalSupport () const
virtual bool	IsLinear () const
	itkCloneMacro (Self)
virtual void	SetFixedParameters (const ParametersType &)=0
virtual void	SetParameters (const ParametersType &)=0
virtual void	SetParametersByValue (const ParametersType &p)
virtual OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const
virtual OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &vector, const InputPointType &point) const
virtual OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &) const
virtual OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &vector, const InputPointType &point) const
virtual OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &) const
virtual OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &tensor, const InputPointType &point) const
virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &) const
virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &tensor, const InputPointType &point) const
virtual OutputPointType	TransformPoint (const InputPointType &) const =0
virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &tensor, const InputPointType &point) const
virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &) const
virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &) const
virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &tensor, const InputPointType &point) const
virtual OutputVectorType	TransformVector (const InputVectorType &) const
virtual OutputVectorType	TransformVector (const InputVectorType &vector, const InputPointType &point) const
virtual OutputVnlVectorType	TransformVector (const InputVnlVectorType &) const
virtual OutputVnlVectorType	TransformVector (const InputVnlVectorType &vector, const InputPointType &point) const
virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &) const
virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &vector, const InputPointType &point) const
virtual void	UpdateTransformParameters (const DerivativeType &update, TScalarType factor=1.0)

virtual void	ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &) const
Public Member Functions inherited from itk::TransformBase
virtual void	SetFixedParameters (const ParametersType &)=0
virtual void	SetParameters (const ParametersType &)=0
virtual void	SetParametersByValue (const ParametersType &p)=0
Public Member Functions inherited from itk::Object
unsigned long	AddObserver (const EventObject &event, Command *)
unsigned long	AddObserver (const EventObject &event, Command *) const
virtual LightObject::Pointer	CreateAnother () const
virtual void	DebugOff () const
virtual void	DebugOn () const
Command *	GetCommand (unsigned long tag)
bool	GetDebug () const
MetaDataDictionary &	GetMetaDataDictionary (void)
const MetaDataDictionary &	GetMetaDataDictionary (void) const
virtual unsigned long	GetMTime () const
virtual const TimeStamp &	GetTimeStamp () const
bool	HasObserver (const EventObject &event) const
void	InvokeEvent (const EventObject &)
void	InvokeEvent (const EventObject &) const
virtual void	Modified () const
virtual void	Register () const
void	RemoveAllObservers ()
void	RemoveObserver (unsigned long tag)
void	SetDebug (bool debugFlag) const
void	SetMetaDataDictionary (const MetaDataDictionary &rhs)
virtual void	SetReferenceCount (int)
virtual void	UnRegister () const
Public Member Functions inherited from itk::LightObject
virtual void	Delete ()
virtual int	GetReferenceCount () const
void	Print (std::ostream &os, Indent indent=0) const

Static Public Attributes

static const unsigned int	InputSpaceDimension = NInputDimensions
static const unsigned int	OutputSpaceDimension = NOutputDimensions

Protected Member Functions
virtual LightObject::Pointer	InternalClone () const
OutputDiffusionTensor3DType	PreservationOfPrincipalDirectionDiffusionTensor3DReorientation (const InputDiffusionTensor3DType, const JacobianType) const
	Transform ()
	Transform (NumberOfParametersType NumberOfParameters)
virtual	~Transform ()
Protected Member Functions inherited from itk::TransformBase
	TransformBase ()
virtual	~TransformBase ()
Protected Member Functions inherited from itk::Object
	Object ()
bool	PrintObservers (std::ostream &os, Indent indent) const
virtual void	PrintSelf (std::ostream &os, Indent indent) const
virtual void	SetTimeStamp (const TimeStamp &time)
virtual	~Object ()
Protected Member Functions inherited from itk::LightObject
	LightObject ()
virtual void	PrintHeader (std::ostream &os, Indent indent) const
virtual void	PrintTrailer (std::ostream &os, Indent indent) const
virtual	~LightObject ()

Protected Attributes
DirectionChangeMatrix	m_DirectionChange
ParametersType	m_FixedParameters
ParametersType	m_Parameters

Private Member Functions
template<typename TType >
std::string	GetTransformTypeAsString (TType *) const
std::string	GetTransformTypeAsString (float *) const
std::string	GetTransformTypeAsString (double *) const
void	operator= (const Self &)
	Transform (const Self &)

Detailed Description

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

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

This abstract class defines the generic interface for a geometric 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 transformations are not necessarily invertible, this basic class does not provide the methods for back transformation. Back transform methods are implemented in derived classes where appropriate.

Registration Framework Support: Typically a Transform class has 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, an 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.

Subclasses must provide implementations for: 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 void SetFixedParameters(const ParametersType &) virtual void ComputeJacobianWithRespectToParameters( const InputPointType &, JacobianType &) const virtual void ComputeJacobianWithRespectToPosition( const InputPointType & x, JacobianType &jacobian ) const;

Since TranformVector and TransformCovariantVector have multiple overloaded methods from the base class, subclasses must specify: using Superclass::TransformVector; using Superclass::TransformCovariantVector;

Definition at line 82 of file itkTransform.h.

Member Typedef Documentation

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

typedef SmartPointer<const Self> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::ConstPointer

Reimplemented from itk::TransformBase.

Definition at line 89 of file itkTransform.h.

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

typedef Array<ParametersValueType> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::DerivativeType

Reimplemented in itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::CompositeTransform< TScalar, NDimensions >, itk::TimeVaryingBSplineVelocityFieldTransform< TScalar, NDimensions >, itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >, itk::BSplineSmoothingOnUpdateDisplacementFieldTransform< TScalar, NDimensions >, itk::GaussianSmoothingOnUpdateDisplacementFieldTransform< TScalar, NDimensions >, and itk::GaussianSmoothingOnUpdateTimeVaryingVelocityFieldTransform< TScalar, NDimensions >.

Definition at line 120 of file itkTransform.h.

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

typedef Matrix<double, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::DirectionChangeMatrix

Definition at line 182 of file itkTransform.h.

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

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

Standard covariant vector type for this class

Definition at line 146 of file itkTransform.h.

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

typedef DiffusionTensor3D<TScalarType> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::InputDiffusionTensor3DType

Reimplemented in itk::CompositeTransform< TScalar, NDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 141 of file itkTransform.h.

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

typedef Matrix<double, itkGetStaticConstMacro(InputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::InputDirectionMatrix

Definition at line 178 of file itkTransform.h.

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

typedef Point<TScalarType, NInputDimensions> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::InputPointType

Standard coordinate point type for this class

Definition at line 156 of file itkTransform.h.

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

typedef SymmetricSecondRankTensor<TScalarType,NInputDimensions> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::InputSymmetricSecondRankTensorType

Reimplemented in itk::CompositeTransform< TScalar, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 136 of file itkTransform.h.

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

typedef VariableLengthVector<TScalarType> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::InputVectorPixelType

Standard variable length vector type for this class this provides an interface for the VectorImage class

Reimplemented in itk::CompositeTransform< TScalar, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >, and itk::DisplacementFieldTransform< TScalar, NDimensions >.

Definition at line 131 of file itkTransform.h.

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

typedef Vector<TScalarType, NInputDimensions> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::InputVectorType

Standard vector type for this class.

Definition at line 126 of file itkTransform.h.

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

typedef vnl_vector_fixed<TScalarType, NInputDimensions> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::InputVnlVectorType

Standard vnl_vector type for this class.

Definition at line 151 of file itkTransform.h.

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

typedef InverseTransformBaseType::Pointer itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::InverseTransformBasePointer

Reimplemented in itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >, itk::AffineTransform< TScalarType, NDimensions >, itk::CompositeTransform< TScalar, NDimensions >, itk::Similarity2DTransform< TScalarType >, itk::Rigid2DTransform< TScalarType >, itk::CenteredSimilarity2DTransform< TScalarType >, itk::CenteredRigid2DTransform< TScalarType >, itk::IdentityTransform< TScalarType, NDimensions >, itkv3::Rigid3DTransform< TScalarType >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::ScaleTransform< TScalarType, NDimensions >, itk::TranslationTransform< TScalarType, NDimensions >, itk::Rigid3DTransform< TScalarType >, itk::Euler2DTransform< TScalarType >, itk::CenteredEuler3DTransform< TScalarType >, itk::CenteredAffineTransform< TScalarType, NDimensions >, itk::ScalableAffineTransform< TScalarType, NDimensions >, itk::TimeVaryingBSplineVelocityFieldTransform< TScalar, NDimensions >, and itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >.

Definition at line 165 of file itkTransform.h.

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

typedef Transform< TScalarType, NOutputDimensions, NInputDimensions> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::InverseTransformBaseType

Base inverse transform type. This type should not be changed to the concrete inverse transform type or inheritance would be lost.

Definition at line 162 of file itkTransform.h.

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

typedef Array2D<ParametersValueType> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::JacobianType

Type of the Jacobian matrix.

Definition at line 123 of file itkTransform.h.

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

typedef Matrix<TScalarType, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::MatrixType

Definition at line 169 of file itkTransform.h.

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

typedef Superclass::NumberOfParametersType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::NumberOfParametersType

The number of parameters can potentially be very large, therefore we use here a large capacity integer.

Reimplemented from itk::TransformBase.

Reimplemented in itk::CompositeTransform< TScalar, NDimensions >, itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, itk::BSplineTransform< TScalarType, NDimensions, VSplineOrder >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::TimeVaryingBSplineVelocityFieldTransform< TScalar, NDimensions >, itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >, itk::TranslationTransform< TScalarType, NDimensions >, and itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >.

Definition at line 184 of file itkTransform.h.

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

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

Definition at line 148 of file itkTransform.h.

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

typedef DiffusionTensor3D<TScalarType> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::OutputDiffusionTensor3DType

Reimplemented in itk::CompositeTransform< TScalar, NDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 142 of file itkTransform.h.

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

typedef Matrix<double, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(OutputSpaceDimension)> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::OutputDirectionMatrix

Definition at line 174 of file itkTransform.h.

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

typedef Point<TScalarType, NOutputDimensions> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::OutputPointType

Definition at line 157 of file itkTransform.h.

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

typedef SymmetricSecondRankTensor<TScalarType,NOutputDimensions> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::OutputSymmetricSecondRankTensorType

Reimplemented in itk::CompositeTransform< TScalar, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 138 of file itkTransform.h.

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

typedef VariableLengthVector<TScalarType> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::OutputVectorPixelType

Reimplemented in itk::CompositeTransform< TScalar, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >, and itk::DisplacementFieldTransform< TScalar, NDimensions >.

Definition at line 132 of file itkTransform.h.

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

typedef Vector<TScalarType, NOutputDimensions> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::OutputVectorType

Definition at line 127 of file itkTransform.h.

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

typedef vnl_vector_fixed<TScalarType, NOutputDimensions> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::OutputVnlVectorType

Definition at line 153 of file itkTransform.h.

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

typedef Superclass::ParametersType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::ParametersType

Type of the input parameters.

Reimplemented from itk::TransformBase.

Definition at line 118 of file itkTransform.h.

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

typedef Superclass::ParametersValueType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::ParametersValueType

Type of the input parameters.

Reimplemented from itk::TransformBase.

Definition at line 119 of file itkTransform.h.

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

typedef SmartPointer<Self> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::Pointer

Reimplemented from itk::TransformBase.

Definition at line 88 of file itkTransform.h.

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

typedef TScalarType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::ScalarType

Type of the scalar representing coordinate and vector elements.

Definition at line 115 of file itkTransform.h.

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

typedef Transform itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::Self

Standard class typedefs.

Reimplemented from itk::TransformBase.

Definition at line 86 of file itkTransform.h.

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

typedef TransformBase itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::Superclass

Reimplemented from itk::TransformBase.

Definition at line 87 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 ( NumberOfParametersType NumberOfParameters )

protected

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

virtual itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::~Transform ( )

inlineprotectedvirtual

Definition at line 557 of file itkTransform.h.

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

itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::Transform ( const Self & )

private

Member Function Documentation

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

virtual void itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::ComputeInverseJacobianWithRespectToPosition	(	const InputPointType &	x,
		JacobianType &	jacobian
	)		const

virtual

This provides the ability to get a local jacobian value in a dense/local transform, e.g. DisplacementFieldTransform. For such transforms it would be unclear what parameters would refer to. Generally, global transforms should return an indentity jacobian since there is no change with respect to position.

Reimplemented in itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

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

virtual void itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::ComputeJacobianWithRespectToParameters	(	const InputPointType &	,
		JacobianType &
	)		const

inlinevirtual

Compute the Jacobian of the transformation

This method computes the Jacobian matrix of the transformation at a given input point. The rank of the Jacobian will also indicate if the transform is invertible at this point.

The Jacobian is be expressed as a matrix of partial derivatives of the output point components with respect to the parameters that defined the transform:

$J=\left[ \begin{array}{cccc} \frac{\partial x_{1}}{\partial p_{1}} & \frac{\partial x_{1}}{\partial p_{2}} & \cdots & \frac{\partial x_{1}}{\partial p_{m}}\\ \frac{\partial x_{2}}{\partial p_{1}} & \frac{\partial x_{2}}{\partial p_{2}} & \cdots & \frac{\partial x_{2}}{\partial p_{m}}\\ \vdots & \vdots & \ddots & \vdots \\ \frac{\partial x_{n}}{\partial p_{1}} & \frac{\partial x_{n}}{\partial p_{2}} & \cdots & \frac{\partial x_{n}}{\partial p_{m}} \end{array}\right]$

This is also used for efficient computation of a point-local jacobian for dense transforms. jacobian is assumed to be thread-local variable, otherwise memory corruption will most likely occur during multi-threading. To avoid repeatitive memory allocation, pass in 'jacobian' with its size already set.

Reimplemented in itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 518 of file itkTransform.h.

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

virtual void itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::ComputeJacobianWithRespectToPosition	(	const InputPointType &	,
		JacobianType &
	)		const

inlinevirtual

This provides the ability to get a local jacobian value in a dense/local transform, e.g. DisplacementFieldTransform. For such transforms it would be unclear what parameters would refer to. Generally, global transforms should return an indentity jacobian since there is no change with respect to position.

Reimplemented in itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 532 of file itkTransform.h.

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

virtual const ParametersType& itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::GetFixedParameters ( void ) const

inlinevirtual

Get the Fixed Parameters.

Implements itk::TransformBase.

Reimplemented in itk::CompositeTransform< TScalar, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >, itk::IdentityTransform< TScalarType, NDimensions >, itk::TranslationTransform< TScalarType, NDimensions >, itk::KernelTransform< TScalarType, NDimensions >, itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >, itk::CenteredSimilarity2DTransform< TScalarType >, itk::CenteredRigid2DTransform< TScalarType >, and itk::ScaleTransform< TScalarType, NDimensions >.

Definition at line 372 of file itkTransform.h.

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

unsigned int itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::GetInputSpaceDimension ( void ) const

inlinevirtual

Get the size of the input space

Implements itk::TransformBase.

Definition at line 103 of file itkTransform.h.

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

bool itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::GetInverse ( Self * ) const

inline

Returns a boolean indicating whether it is possible or not to compute the inverse of this current Transform. If it is possible, then the inverse of the transform is returned in the inverseTransform variable passed by the user. The inverse is recomputed if this current transform has been modified. This method is intended to be overriden as needed by derived classes.

Definition at line 416 of file itkTransform.h.

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

virtual InverseTransformBasePointer itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::GetInverseTransform ( ) const

inlinevirtual

Return an inverse of this transform. If the inverse has not been implemented, return NULL. The type of the inverse transform does not necessarily need to match the type of the forward transform. This allows one to return a numeric inverse transform instead.

Definition at line 427 of file itkTransform.h.

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

virtual const char* itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::GetNameOfClass ( ) const

virtual

Run-time type information (and related methods).

Reimplemented from itk::TransformBase.

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

virtual NumberOfParametersType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::GetNumberOfLocalParameters ( void ) const

inlinevirtual

Return the number of local parameters that completely defines the Transform at an individual voxel. For transforms with local support, this will enable downstream computation of the jacobian wrt only the local support region. For instance, in the case of a deformation field, this will be equal to the number of image dimensions. If it is an affine transform, this will be the same as the GetNumberOfParameters().

Reimplemented in itk::CompositeTransform< TScalar, NDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, and itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >.

Definition at line 397 of file itkTransform.h.

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

virtual NumberOfParametersType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::GetNumberOfParameters ( void ) const

inlinevirtual

Return the number of parameters that completely define the Transfom

Implements itk::TransformBase.

Reimplemented in itk::CompositeTransform< TScalar, NDimensions >, itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >, itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, itk::BSplineTransform< TScalarType, NDimensions, VSplineOrder >, and itk::TranslationTransform< TScalarType, NDimensions >.

Definition at line 403 of file itkTransform.h.

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

unsigned int itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::GetOutputSpaceDimension ( void ) const

inlinevirtual

Get the size of the output space

Implements itk::TransformBase.

Definition at line 109 of file itkTransform.h.

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

virtual const ParametersType& itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::GetParameters ( void ) const

inlinevirtual

Get the Transformation Parameters.

Implements itk::TransformBase.

Definition at line 363 of file itkTransform.h.

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

virtual std::string itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::GetTransformTypeAsString ( ) const

virtual

Generate a platform independent name

Implements itk::TransformBase.

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

template<typename TType >

std::string itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::GetTransformTypeAsString ( TType * ) const

inlineprivate

Definition at line 579 of file itkTransform.h.

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

std::string itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::GetTransformTypeAsString ( float * ) const

inlineprivate

Definition at line 586 of file itkTransform.h.

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

std::string itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::GetTransformTypeAsString ( double * ) const

inlineprivate

Definition at line 593 of file itkTransform.h.

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

virtual bool itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::HasLocalSupport ( ) const

inlinevirtual

Indicates if this transform is a "global" transform e.g. an affine transform, or a local one, e.g. a deformation field.

Reimplemented in itk::CompositeTransform< TScalar, NDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::BSplineTransform< TScalarType, NDimensions, VSplineOrder >, and itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >.

Definition at line 458 of file itkTransform.h.

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

virtual LightObject::Pointer itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::InternalClone ( ) const

protectedvirtual

Clone the current transform. This does a complete copy of the transform state to the new transform

Reimplemented from itk::LightObject.

Reimplemented in itk::CompositeTransform< TScalar, NDimensions >, itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >, itk::BSplineSmoothingOnUpdateDisplacementFieldTransform< TScalar, NDimensions >, and itk::GaussianSmoothingOnUpdateDisplacementFieldTransform< TScalar, NDimensions >.

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

virtual bool itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::IsLinear ( ) const

inlinevirtual

Indicates if this transform is linear. A transform is defined to be linear if the transform of a linear combination of points is equal to the linear combination (with the same coefficients) of the individual transforms of each point. The transform T will be linear if given two points P and Q, and scalar coefficients a and b, then

      T( a*P + b*Q ) = a * T(P) + b * T(Q)

By default, we assume this to NOT be the case for most transforms. However, transforms for which this is true will overload and reimplement this method accordingly.

Warning:: This method must be thread-safe. See, e.g., its use in ResampleImageFilter.

Reimplemented in itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >, itk::CompositeTransform< TScalar, NDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >, itk::ScaleTransform< TScalarType, NDimensions >, itk::IdentityTransform< TScalarType, NDimensions >, itk::KernelTransform< TScalarType, NDimensions >, itk::TranslationTransform< TScalarType, NDimensions >, and itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >.

Definition at line 450 of file itkTransform.h.

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

itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::itkCloneMacro ( Self )

define the Clone method

Reimplemented from itk::LightObject.

Reimplemented in itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, and itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >.

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

void itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::operator= ( const Self & )

private

Mutex lock to protect modification to the reference count

Reimplemented from itk::TransformBase.

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

OutputDiffusionTensor3DType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::PreservationOfPrincipalDirectionDiffusionTensor3DReorientation	(	const InputDiffusionTensor3DType	,
		const JacobianType
	)		const

protected

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

virtual void itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::SetFixedParameters ( const ParametersType & )

pure virtual

Set the fixed parameters and update internal transformation.

Implemented in itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::TranslationTransform< TScalarType, NDimensions >, itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >, itk::CenteredSimilarity2DTransform< TScalarType >, itk::CenteredRigid2DTransform< TScalarType >, itk::TimeVaryingBSplineVelocityFieldTransform< TScalar, NDimensions >, itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >, and itk::ScaleTransform< TScalarType, NDimensions >.

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

virtual void itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::SetParameters ( const ParametersType & )

pure virtual

Set the transformation parameters and update internal transformation. SetParameters gives the transform the option to set it's parameters by keeping a reference to the parameters, or by copying. To force the transform to copy it's parameters call SetParametersByValue.

See also:: SetParametersByValue

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

virtual void itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::SetParametersByValue ( const ParametersType & p )

inlinevirtual

Set the transformation parameters and update internal transformation. This method forces the transform to copy the parameters. The default implementation is to call SetParameters. This call must be overridden if the transform normally implements SetParameters by keeping a reference to the parameters.

See also:: SetParameters

Reimplemented in itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >.

Definition at line 357 of file itkTransform.h.

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

virtual OutputCovariantVectorType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformCovariantVector ( const InputCovariantVectorType & ) const

inlinevirtual

Method to transform a CovariantVector.

Reimplemented in itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >, itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >, itk::ScaleTransform< TScalarType, NDimensions >, itk::TranslationTransform< TScalarType, NDimensions >, and itk::IdentityTransform< TScalarType, NDimensions >.

Definition at line 239 of file itkTransform.h.

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

virtual OutputCovariantVectorType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformCovariantVector	(	const InputCovariantVectorType &	vector,
		const InputPointType &	point
	)		const

virtual

Method to transform a CovariantVector, using a point. Global transforms can ignore the point parameter. Local transforms (e.g. deformation field transform) must override and provide required behavior. By default, point is ignored and TransformCovariantVector(vector) is called

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

virtual OutputVectorPixelType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformCovariantVector ( const InputVectorPixelType & ) const

inlinevirtual

Method to transform a CovariantVector stored in a VectorImage.

Reimplemented in itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 256 of file itkTransform.h.

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

virtual OutputVectorPixelType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformCovariantVector	(	const InputVectorPixelType &	vector,
		const InputPointType &	point
	)		const

virtual

Method to transform a CovariantVector, using a point. Global transforms can ignore the point parameter. Local transforms (e.g. deformation field transform) must override and provide required behavior. By default, point is ignored and TransformCovariantVector(vector) is called

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

virtual OutputDiffusionTensor3DType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformDiffusionTensor3D ( const InputDiffusionTensor3DType & ) const

inlinevirtual

Method to transform a diffusion tensor

Reimplemented in itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 273 of file itkTransform.h.

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

virtual OutputDiffusionTensor3DType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformDiffusionTensor3D	(	const InputDiffusionTensor3DType &	tensor,
		const InputPointType &	point
	)		const

virtual

Method to transform a diffusion tensor at a point. Global transforms can ignore the point parameter. Local transforms (e.g. deformation field transform) must override and provide required behavior. By default, point is ignored and TransformDiffusionTensor(tensor) is called

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

virtual OutputVectorPixelType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformDiffusionTensor3D ( const InputVectorPixelType & ) const

inlinevirtual

Method to transform a diffusion tensor stored in a VectorImage

Reimplemented in itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 292 of file itkTransform.h.

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

virtual OutputVectorPixelType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformDiffusionTensor3D	(	const InputVectorPixelType &	tensor,
		const InputPointType &	point
	)		const

virtual

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

virtual OutputPointType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformPoint ( const InputPointType & ) const

pure virtual

Method to transform a point.

Warning:: This method must be thread-safe. See, e.g., its use in ResampleImageFilter.

Implemented in itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >, and itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >.

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

virtual OutputSymmetricSecondRankTensorType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformSymmetricSecondRankTensor	(	const InputSymmetricSecondRankTensorType &	tensor,
		const InputPointType &	point
	)		const

virtual

Method to transform a diffusion tensor at a point. Global transforms can ignore the point parameter. Local transforms (e.g. deformation field transform) must override and provide required behavior. By default, point is ignored and TransformSymmetricSecondRankTensor(tensor) is called

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

virtual OutputSymmetricSecondRankTensorType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformSymmetricSecondRankTensor ( const InputSymmetricSecondRankTensorType & ) const

inlinevirtual

Method to transform a ssr tensor stored in a VectorImage

Reimplemented in itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 314 of file itkTransform.h.

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

virtual OutputVectorPixelType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformSymmetricSecondRankTensor ( const InputVectorPixelType & ) const

inlinevirtual

Method to transform a ssr tensor stored in a VectorImage

Reimplemented in itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 323 of file itkTransform.h.

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

virtual OutputVectorPixelType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformSymmetricSecondRankTensor	(	const InputVectorPixelType &	tensor,
		const InputPointType &	point
	)		const

virtual

Method to transform a diffusion tensor stored in a VectorImage, at a point. Global transforms can ignore the point parameter. Local transforms (e.g. deformation field transform) must override and provide required behavior. By default, point is ignored and TransformDiffusionTensor(tensor) is called

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

virtual OutputVectorType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformVector ( const InputVectorType & ) const

inlinevirtual

Method to transform a vector.

Reimplemented in itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >, and itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >.

Definition at line 193 of file itkTransform.h.

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

virtual OutputVectorType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformVector	(	const InputVectorType &	vector,
		const InputPointType &	point
	)		const

virtual

Method to transform a vector at a given location. For global transforms, point is ignored and TransformVector( vector ) is called. Local transforms (e.g. deformation field transform) must override and provide required behavior.

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

virtual OutputVnlVectorType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformVector ( const InputVnlVectorType & ) const

inlinevirtual

Method to transform a vnl_vector.

Reimplemented in itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 208 of file itkTransform.h.

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

virtual OutputVnlVectorType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformVector	(	const InputVnlVectorType &	vector,
		const InputPointType &	point
	)		const

virtual

Method to transform a vnl_vector, at a point. For global transforms, point is ignored and TransformVector( vector ) is called. Local transforms (e.g. deformation field transform) must override and provide required behavior.

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

virtual OutputVectorPixelType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformVector ( const InputVectorPixelType & ) const

inlinevirtual

Method to transform a vector stored in a VectorImage.

Reimplemented in itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 223 of file itkTransform.h.

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

virtual OutputVectorPixelType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformVector	(	const InputVectorPixelType &	vector,
		const InputPointType &	point
	)		const

virtual

Method to transform a vector stored in a VectorImage, at a point. For global transforms, point is ignored and TransformVector( vector ) is called. Local transforms (e.g. deformation field transform) must override and provide required behavior.

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

virtual void itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::UpdateTransformParameters	(	const DerivativeType &	update,
		TScalarType	factor = `1.0`
	)

virtual

Update the transform's parameters by the adding values in update to current parameter values. We assume update is of the same length as Parameters. Throw exception otherwise. factor is a scalar multiplier for each value in update. SetParameters is called at the end of this method, to allow transforms to perform any required operations on the update parameters, typically a converion to member variables for use in TransformPoint. Derived classes should override to provide specialized behavior.

Member Data Documentation

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

const unsigned int itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::InputSpaceDimension = NInputDimensions

static

Dimension of the domain space.

Definition at line 95 of file itkTransform.h.

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

DirectionChangeMatrix itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::m_DirectionChange

mutableprotected

Definition at line 573 of file itkTransform.h.

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

ParametersType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::m_FixedParameters

mutableprotected

Reimplemented in itk::ScaleTransform< TScalarType, NDimensions >.

Definition at line 562 of file itkTransform.h.

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

ParametersType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::m_Parameters

mutableprotected

Definition at line 561 of file itkTransform.h.

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

const unsigned int itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::OutputSpaceDimension = NOutputDimensions

static

Dimension of the domain space.

Definition at line 96 of file itkTransform.h.

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

itkTransform.h

Public Types

Public Member Functions

Static Public Attributes

Protected Member Functions

Protected Attributes

Private Member Functions

Detailed Description

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

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

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