#include <itkTransform.h>

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

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

Detailed Description

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
class itk::Transform< TParametersValueType, 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 FixedParametersType &)
virtual void ComputeJacobianWithRespectToParameters( const InputPointType &, JacobianType &) const
virtual void ComputeJacobianWithRespectToPosition( const InputPointType & x, JacobianPositionType &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 83 of file itkTransform.h.

Public Types
using	ConstPointer = SmartPointer< const Self >

using	DerivativeType = Array< ParametersValueType >

using	DirectionChangeMatrix = Matrix< double, Self::OutputSpaceDimension, Self::InputSpaceDimension >

using	FixedParametersType = typename Superclass::FixedParametersType

using	FixedParametersValueType = typename Superclass::FixedParametersValueType

using	InputCovariantVectorType = CovariantVector< TParametersValueType, NInputDimensions >

using	InputDiffusionTensor3DType = DiffusionTensor3D< TParametersValueType >

using	InputDirectionMatrix = Matrix< double, Self::InputSpaceDimension, Self::InputSpaceDimension >

using	InputPointType = Point< TParametersValueType, NInputDimensions >

using	InputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< TParametersValueType, NInputDimensions >

using	InputVectorPixelType = VariableLengthVector< TParametersValueType >

using	InputVectorType = Vector< TParametersValueType, NInputDimensions >

using	InputVnlVectorType = vnl_vector_fixed< TParametersValueType, NInputDimensions >

using	InverseJacobianPositionType = vnl_matrix_fixed< ParametersValueType, NInputDimensions, NOutputDimensions >

using	InverseTransformBasePointer = typename InverseTransformBaseType::Pointer

using	InverseTransformBaseType = Transform< TParametersValueType, NOutputDimensions, NInputDimensions >

using	JacobianPositionType = vnl_matrix_fixed< ParametersValueType, NOutputDimensions, NInputDimensions >

using	JacobianType = Array2D< ParametersValueType >

using	MatrixType = Matrix< TParametersValueType, Self::OutputSpaceDimension, Self::InputSpaceDimension >

using	NumberOfParametersType = typename Superclass::NumberOfParametersType

using	OutputCovariantVectorType = CovariantVector< TParametersValueType, NOutputDimensions >

using	OutputDiffusionTensor3DType = DiffusionTensor3D< TParametersValueType >

using	OutputDirectionMatrix = Matrix< double, Self::OutputSpaceDimension, Self::OutputSpaceDimension >

using	OutputPointType = Point< TParametersValueType, NOutputDimensions >

using	OutputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< TParametersValueType, NOutputDimensions >

using	OutputVectorPixelType = VariableLengthVector< TParametersValueType >

using	OutputVectorType = Vector< TParametersValueType, NOutputDimensions >

using	OutputVnlVectorType = vnl_vector_fixed< TParametersValueType, NOutputDimensions >

using	ParametersType = typename Superclass::ParametersType

using	ParametersValueType = typename Superclass::ParametersValueType

using	Pointer = SmartPointer< Self >

using	ScalarType = ParametersValueType

using	Self = Transform

using	Superclass = TransformBaseTemplate< TParametersValueType >

using	TransformCategoryType = typename Superclass::TransformCategoryType

Public Types inherited from itk::TransformBaseTemplate< TParametersValueType >
using	ConstPointer = SmartPointer< const Self >

using	FixedParametersType = OptimizerParameters< FixedParametersValueType >

using	FixedParametersValueType = double

using	NumberOfParametersType = IdentifierType

using	ParametersType = OptimizerParameters< ParametersValueType >

using	ParametersValueType = TParametersValueType

using	Pointer = SmartPointer< Self >

using	Self = TransformBaseTemplate

using	Superclass = Object

enum	TransformCategoryType { UnknownTransformCategory =0, Linear =1, BSpline =2, Spline =3, DisplacementField =4, VelocityField =5 }

Public Types inherited from itk::Object
using	ConstPointer = SmartPointer< const Self >

using	Pointer = SmartPointer< Self >

using	Self = Object

using	Superclass = LightObject

Public Types inherited from itk::LightObject
using	ConstPointer = SmartPointer< const Self >

using	Pointer = SmartPointer< Self >

using	Self = LightObject

Public Member Functions
virtual void	ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &) const =0

virtual void	ComputeJacobianWithRespectToParametersCachedTemporaries (const InputPointType &p, JacobianType &jacobian, JacobianType &) const

void	CopyInFixedParameters (const FixedParametersValueType const begin, const FixedParametersValueType const end) override

void	CopyInParameters (const ParametersValueType const begin, const ParametersValueType const end) override

const FixedParametersType &	GetFixedParameters () const override

unsigned int	GetInputSpaceDimension () const override

bool	GetInverse (Self *) const

virtual InverseTransformBasePointer	GetInverseTransform () const

virtual const char *	GetNameOfClass () const

virtual NumberOfParametersType	GetNumberOfFixedParameters () const

virtual NumberOfParametersType	GetNumberOfLocalParameters () const

NumberOfParametersType	GetNumberOfParameters () const override

unsigned int	GetOutputSpaceDimension () const override

const ParametersType &	GetParameters () const override

TransformCategoryType	GetTransformCategory () const override

std::string	GetTransformTypeAsString () const override

virtual bool	IsLinear () const

	itkCloneMacro (Self)

void	SetFixedParameters (const FixedParametersType &) override=0

void	SetParameters (const ParametersType &) override=0

void	SetParametersByValue (const ParametersType &p) override

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, ParametersValueType factor=1.0)


virtual void	ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianPositionType &) const

	itkLegacyMacro (virtual void ComputeJacobianWithRespectToPosition(const InputPointType &x, JacobianType &jacobian) const)


virtual void	ComputeInverseJacobianWithRespectToPosition (const InputPointType &x, InverseJacobianPositionType &jacobian) const

	itkLegacyMacro (virtual void ComputeInverseJacobianWithRespectToPosition(const InputPointType &x, JacobianType &jacobian) const)

Public Member Functions inherited from itk::TransformBaseTemplate< TParametersValueType >
virtual void	CopyInFixedParameters (const FixedParametersValueType const begin, const FixedParametersValueType const end)=0

virtual void	CopyInParameters (const ParametersValueType const begin, const ParametersValueType const end)=0

virtual void	SetFixedParameters (const FixedParametersType &)=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

LightObject::Pointer	CreateAnother () const override

virtual void	DebugOff () const

virtual void	DebugOn () const

Command *	GetCommand (unsigned long tag)

bool	GetDebug () const

MetaDataDictionary &	GetMetaDataDictionary ()

const MetaDataDictionary &	GetMetaDataDictionary () const

virtual ModifiedTimeType	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

void	Register () const override

void	RemoveAllObservers ()

void	RemoveObserver (unsigned long tag)

void	SetDebug (bool debugFlag) const

void	SetReferenceCount (int) override

void	UnRegister () const noexceptoverride

void	SetMetaDataDictionary (const MetaDataDictionary &rhs)

void	SetMetaDataDictionary (MetaDataDictionary &&rrhs)

virtual void	SetObjectName (std::string _arg)

virtual const std::string &	GetObjectName () const

Public Member Functions inherited from itk::LightObject
virtual void	Delete ()

virtual int	GetReferenceCount () const

	itkCloneMacro (Self)

void	Print (std::ostream &os, Indent indent=0) const

Static Public Attributes
static constexpr unsigned int	InputSpaceDimension = NInputDimensions

static constexpr unsigned int	OutputSpaceDimension = NOutputDimensions

Protected Member Functions
LightObject::Pointer	InternalClone () const override

OutputDiffusionTensor3DType	PreservationOfPrincipalDirectionDiffusionTensor3DReorientation (const InputDiffusionTensor3DType &, const InverseJacobianPositionType &) const

	Transform ()

	Transform (NumberOfParametersType NumberOfParameters)

	~Transform () override=default

Protected Member Functions inherited from itk::TransformBaseTemplate< TParametersValueType >
	TransformBaseTemplate ()=default

	~TransformBaseTemplate () override=default

Protected Member Functions inherited from itk::Object
	Object ()

bool	PrintObservers (std::ostream &os, Indent indent) const

void	PrintSelf (std::ostream &os, Indent indent) const override

virtual void	SetTimeStamp (const TimeStamp &time)

	~Object () override

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

FixedParametersType	m_FixedParameters

ParametersType	m_Parameters

Protected Attributes inherited from itk::LightObject
std::atomic< int >	m_ReferenceCount

Static Private Member Functions
template<typename TType >
static std::string	GetTransformTypeAsString (TType *)

static std::string	GetTransformTypeAsString (float *)

static std::string	GetTransformTypeAsString (double *)

Additional Inherited Members
Static Public Member Functions inherited from itk::Object
static bool	GetGlobalWarningDisplay ()

static void	GlobalWarningDisplayOff ()

static void	GlobalWarningDisplayOn ()

static Pointer	New ()

static void	SetGlobalWarningDisplay (bool flag)

Static Public Member Functions inherited from itk::LightObject
static void	BreakOnError ()

static Pointer	New ()

Member Typedef Documentation

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::ConstPointer = SmartPointer<const Self>

Definition at line 92 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::DerivativeType = Array<ParametersValueType>

Definition at line 121 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::DirectionChangeMatrix = Matrix<double, Self::OutputSpaceDimension, Self::InputSpaceDimension>

Definition at line 183 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::FixedParametersType = typename Superclass::FixedParametersType

Type of the input parameters.

Definition at line 117 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::FixedParametersValueType = typename Superclass::FixedParametersValueType

Definition at line 118 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::InputCovariantVectorType = CovariantVector<TParametersValueType, NInputDimensions>

Standard covariant vector type for this class

Definition at line 152 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::InputDiffusionTensor3DType = DiffusionTensor3D<TParametersValueType>

Definition at line 147 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::InputDirectionMatrix = Matrix<double, Self::InputSpaceDimension, Self::InputSpaceDimension>

Definition at line 180 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::InputPointType = Point<TParametersValueType, NInputDimensions>

Standard coordinate point type for this class

Definition at line 161 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::InputSymmetricSecondRankTensorType = SymmetricSecondRankTensor<TParametersValueType,NInputDimensions>

Definition at line 142 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::InputVectorPixelType = VariableLengthVector<TParametersValueType>

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

Definition at line 137 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::InputVectorType = Vector<TParametersValueType, NInputDimensions>

Standard vector type for this class.

Definition at line 132 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::InputVnlVectorType = vnl_vector_fixed<TParametersValueType, NInputDimensions>

Standard vnl_vector type for this class.

Definition at line 157 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::InverseJacobianPositionType = vnl_matrix_fixed<ParametersValueType, NInputDimensions, NOutputDimensions>

Definition at line 129 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::InverseTransformBasePointer = typename InverseTransformBaseType::Pointer

Definition at line 169 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::InverseTransformBaseType = Transform<TParametersValueType, NOutputDimensions, NInputDimensions>

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

Definition at line 167 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::JacobianPositionType = vnl_matrix_fixed<ParametersValueType, NOutputDimensions, NInputDimensions>

Definition at line 128 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::JacobianType = Array2D<ParametersValueType>

Type of the Jacobian matrix.

Definition at line 127 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::MatrixType = Matrix<TParametersValueType, Self::OutputSpaceDimension, Self::InputSpaceDimension>

Definition at line 173 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::NumberOfParametersType = typename Superclass::NumberOfParametersType

Definition at line 185 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::OutputCovariantVectorType = CovariantVector<TParametersValueType, NOutputDimensions>

Definition at line 154 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::OutputDiffusionTensor3DType = DiffusionTensor3D<TParametersValueType>

Definition at line 148 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::OutputDirectionMatrix = Matrix<double, Self::OutputSpaceDimension, Self::OutputSpaceDimension>

Definition at line 177 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::OutputPointType = Point<TParametersValueType, NOutputDimensions>

Definition at line 162 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::OutputSymmetricSecondRankTensorType = SymmetricSecondRankTensor<TParametersValueType,NOutputDimensions>

Definition at line 144 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::OutputVectorPixelType = VariableLengthVector<TParametersValueType>

Definition at line 138 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::OutputVectorType = Vector<TParametersValueType, NOutputDimensions>

Definition at line 133 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::OutputVnlVectorType = vnl_vector_fixed<TParametersValueType, NOutputDimensions>

Definition at line 158 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::ParametersType = typename Superclass::ParametersType

Definition at line 119 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::ParametersValueType = typename Superclass::ParametersValueType

Definition at line 120 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::Pointer = SmartPointer<Self>

Definition at line 91 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::ScalarType = ParametersValueType

Type of the scalar representing coordinate and vector elements.

Definition at line 124 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::Self = Transform

Standard class type aliases.

Definition at line 89 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::Superclass = TransformBaseTemplate<TParametersValueType>

Definition at line 90 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

using itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::TransformCategoryType = typename Superclass::TransformCategoryType

Definition at line 454 of file itkTransform.h.

Constructor & Destructor Documentation

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::Transform ( )

protected

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::Transform ( NumberOfParametersType NumberOfParameters )

protected

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::~Transform ( )

overrideprotecteddefault

Member Function Documentation

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual void itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::ComputeInverseJacobianWithRespectToPosition	(	const InputPointType &	x,
		InverseJacobianPositionType &	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< TParametersValueType, 2, 2 >, itk::MatrixOffsetTransformBase< TParametersValueType, 3, 3 >, and itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

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

pure virtual

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.

Implemented in itk::MatrixOffsetTransformBase< TParametersValueType, 2, 2 >, itk::MatrixOffsetTransformBase< TParametersValueType, 3, 3 >, and itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual void itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::ComputeJacobianWithRespectToParametersCachedTemporaries	(	const InputPointType &	p,
		JacobianType &	jacobian,
		JacobianType &
	)		const

inlinevirtual

Definition at line 505 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual void itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::ComputeJacobianWithRespectToPosition	(	const InputPointType &	,
		JacobianPositionType &
	)		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< TParametersValueType, 2, 2 >, itk::MatrixOffsetTransformBase< TParametersValueType, 3, 3 >, and itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >.

Definition at line 517 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

void itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::CopyInFixedParameters	(	const FixedParametersValueType *const	begin,
		const FixedParametersValueType *const	end
	)

override

This function allow copying a range of values into the FixedParameters The range of values must conform to std::copy(begin, end, m_FixedParameters) requirements.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

void itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::CopyInParameters	(	const ParametersValueType *const	begin,
		const ParametersValueType *const	end
	)

override

This function allow copying a range of values into the Parameters The range of values must conform to std::copy(begin, end, m_Parameters) requirements.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

const FixedParametersType& itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::GetFixedParameters ( ) const

inlineoverridevirtual

Get the Fixed Parameters.

Implements itk::TransformBaseTemplate< TParametersValueType >.

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

Definition at line 387 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

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

inlineoverridevirtual

Get the size of the input space

Implements itk::TransformBaseTemplate< TParametersValueType >.

Definition at line 105 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

bool itk::Transform< TParametersValueType, 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 435 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

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

inlinevirtual

Return an inverse of this transform. If the inverse has not been implemented, return nullptr. 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 446 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

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

virtual

Run-time type information (and related methods).

Reimplemented from itk::TransformBaseTemplate< TParametersValueType >.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual NumberOfParametersType itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::GetNumberOfFixedParameters ( ) const

inlinevirtual

Return the number of parameters that define the constant elements of a Transfom

Reimplemented in itk::CompositeTransform< TParametersValueType, NDimensions >, itk::MultiTransform< TParametersValueType, NDimensions, NSubDimensions >, and itk::MultiTransform< TParametersValueType, NDimensions, NDimensions >.

Definition at line 422 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual NumberOfParametersType itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::GetNumberOfLocalParameters ( ) 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::DisplacementFieldTransform< TParametersValueType, NDimensions >, itk::CompositeTransform< TParametersValueType, NDimensions >, itk::BSplineBaseTransform< TParametersValueType, NDimensions, VSplineOrder >, itk::MultiTransform< TParametersValueType, NDimensions, NSubDimensions >, and itk::MultiTransform< TParametersValueType, NDimensions, NDimensions >.

Definition at line 410 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

NumberOfParametersType itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::GetNumberOfParameters ( ) const

inlineoverridevirtual

Return the number of parameters that completely define the Transfom

Implements itk::TransformBaseTemplate< TParametersValueType >.

Definition at line 416 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

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

inlineoverridevirtual

Get the size of the output space

Implements itk::TransformBaseTemplate< TParametersValueType >.

Definition at line 111 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

const ParametersType& itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::GetParameters ( ) const

inlineoverridevirtual

Get the Transformation Parameters.

Implements itk::TransformBaseTemplate< TParametersValueType >.

Reimplemented in itk::MatrixOffsetTransformBase< TParametersValueType, 2, 2 >, itk::MatrixOffsetTransformBase< TParametersValueType, 3, 3 >, itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >, itk::VersorTransform< TParametersValueType >, and itk::VersorRigid3DTransform< TParametersValueType >.

Definition at line 378 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

TransformCategoryType itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::GetTransformCategory ( ) const

inlineoverridevirtual

Indicates the category transform. e.g. an affine transform, or a local one, e.g. a deformation field.

Implements itk::TransformBaseTemplate< TParametersValueType >.

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

Definition at line 459 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

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

overridevirtual

Generate a platform independent name

Implements itk::TransformBaseTemplate< TParametersValueType >.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

template<typename TType >

static std::string itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::GetTransformTypeAsString ( TType * )

inlinestaticprivate

Definition at line 563 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

static std::string itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::GetTransformTypeAsString ( float * )

inlinestaticprivate

Definition at line 570 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

static std::string itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::GetTransformTypeAsString ( double * )

inlinestaticprivate

Definition at line 577 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

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

overrideprotectedvirtual

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

Reimplemented from itk::LightObject.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

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

inlinevirtual

Reimplemented in itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TParametersValueType, 2, 2 >, itk::MatrixOffsetTransformBase< TParametersValueType, 3, 3 >, itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >, itk::MultiTransform< TParametersValueType, NDimensions, NSubDimensions >, itk::MultiTransform< TParametersValueType, NDimensions, NDimensions >, and itk::TranslationTransform< TParametersValueType, NDimensions >.

Definition at line 464 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

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

define the Clone method

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::itkLegacyMacro ( virtual void ComputeJacobianWithRespectToPosition(const InputPointType &x, JacobianType &jacobian) const )

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.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

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

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.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

OutputDiffusionTensor3DType itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::PreservationOfPrincipalDirectionDiffusionTensor3DReorientation	(	const InputDiffusionTensor3DType &	,
		const InverseJacobianPositionType &
	)		const

protected

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

void itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::SetFixedParameters ( const FixedParametersType & )

overridepure virtual

Set the fixed parameters and update internal transformation.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

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

overridepure 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<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

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

inlineoverride

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

Definition at line 358 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

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

inlinevirtual

Method to transform a CovariantVector.

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

Definition at line 240 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual OutputCovariantVectorType itk::Transform< TParametersValueType, 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<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

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

inlinevirtual

Method to transform a CovariantVector stored in a VectorImage.

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

Definition at line 257 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual OutputVectorPixelType itk::Transform< TParametersValueType, 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<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

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

inlinevirtual

Method to transform a diffusion tensor

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

Definition at line 274 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual OutputDiffusionTensor3DType itk::Transform< TParametersValueType, 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<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

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

inlinevirtual

Method to transform a diffusion tensor stored in a VectorImage

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

Definition at line 293 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

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

virtual

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual OutputPointType itk::Transform< TParametersValueType, 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< TParametersValueType, 2, 2 >, itk::MatrixOffsetTransformBase< TParametersValueType, 3, 3 >, and itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual OutputSymmetricSecondRankTensorType itk::Transform< TParametersValueType, 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<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

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

inlinevirtual

Method to transform a ssr tensor stored in a VectorImage

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

Definition at line 315 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

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

inlinevirtual

Method to transform a ssr tensor stored in a VectorImage

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

Definition at line 324 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual OutputVectorPixelType itk::Transform< TParametersValueType, 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<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

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

inlinevirtual

Method to transform a vector.

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

Definition at line 194 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual OutputVectorType itk::Transform< TParametersValueType, 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<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

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

inlinevirtual

Method to transform a vnl_vector.

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

Definition at line 209 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual OutputVnlVectorType itk::Transform< TParametersValueType, 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<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

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

inlinevirtual

Method to transform a vector stored in a VectorImage.

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

Definition at line 224 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual OutputVectorPixelType itk::Transform< TParametersValueType, 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<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

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

virtual

Update the transform's parameters by the values in update.

Parameters

update	must be of the same length as returned by GetNumberOfParameters(). Throw an exception otherwise.
factor	is a scalar multiplier for each value in `update`. SetParameters is called at the end of this method, to allow the transform to perform any required operations on the updated parameters - typically a conversion to member variables for use in TransformPoint.

Member Data Documentation

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

constexpr unsigned int itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::InputSpaceDimension = NInputDimensions

static

Dimension of the domain space.

Definition at line 98 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

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

mutableprotected

Definition at line 559 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

FixedParametersType itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::m_FixedParameters

mutableprotected

Definition at line 553 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

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

mutableprotected

Definition at line 552 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

constexpr unsigned int itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::OutputSpaceDimension = NOutputDimensions

static

Definition at line 99 of file itkTransform.h.

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

itkTransform.h

Detailed Description

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

Public Types

Public Member Functions

Static Public Attributes

Protected Member Functions

Protected Attributes

Static Private Member Functions

Additional Inherited Members

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

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