#include <itkIdentityTransform.h>

Inheritance diagram for itk::IdentityTransform< TParametersValueType, NDimensions >:

Collaboration diagram for itk::IdentityTransform< TParametersValueType, NDimensions >:

Public Types
using	ConstPointer = SmartPointer< const Self >

using	FixedParametersType = typename Superclass::FixedParametersType

using	FixedParametersValueType = typename Superclass::FixedParametersValueType

using	InputCovariantVectorType = CovariantVector< TParametersValueType, Self::InputSpaceDimension >

using	InputPointType = Point< TParametersValueType, Self::InputSpaceDimension >

using	InputVectorType = Vector< TParametersValueType, Self::InputSpaceDimension >

using	InputVnlVectorType = vnl_vector_fixed< TParametersValueType, Self::InputSpaceDimension >

using	InverseJacobianPositionType = typename Superclass::InverseJacobianPositionType

using	InverseTransformBasePointer = typename InverseTransformBaseType::Pointer

using	InverseTransformBaseType = typename Superclass::InverseTransformBaseType

using	JacobianPositionType = typename Superclass::JacobianPositionType

using	JacobianType = typename Superclass::JacobianType

using	OutputCovariantVectorType = CovariantVector< TParametersValueType, Self::OutputSpaceDimension >

using	OutputPointType = Point< TParametersValueType, Self::OutputSpaceDimension >

using	OutputVectorType = Vector< TParametersValueType, Self::OutputSpaceDimension >

using	OutputVnlVectorType = vnl_vector_fixed< TParametersValueType, Self::OutputSpaceDimension >

using	ParametersType = typename Superclass::ParametersType

using	ParametersValueType = typename Superclass::ParametersValueType

using	Pointer = SmartPointer< Self >

using	ScalarType = ParametersValueType

using	Self = IdentityTransform

using	Superclass = Transform< TParametersValueType, NDimensions, NDimensions >

using	TransformCategoryEnum = typename Superclass::TransformCategoryEnum

Public Types inherited from itk::Transform< TParametersValueType, NDimensions, NDimensions >
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	TransformCategoryEnum = typename Superclass::TransformCategoryEnum

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

using	TransformCategoryEnum = TransformBaseTemplateEnums::TransformCategory

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
void	ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &jacobian) const override

virtual ::itk::LightObject::Pointer	CreateAnother () const

virtual const char *	GetNameOfClass () const

void	SetIdentity ()

OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &vector) const override

OutputPointType	TransformPoint (const InputPointType &point) const override

OutputVectorType	TransformVector (const InputVectorType &vector) const override

OutputVnlVectorType	TransformVector (const InputVnlVectorType &vector) const override

Public Member Functions inherited from itk::Transform< TParametersValueType, NDimensions, NDimensions >
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 NumberOfParametersType	GetNumberOfFixedParameters () const

virtual NumberOfParametersType	GetNumberOfLocalParameters () const

NumberOfParametersType	GetNumberOfParameters () const override

unsigned int	GetOutputSpaceDimension () const override

const ParametersType &	GetParameters () const override

TransformCategoryEnum	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 &inputTensor, const InputPointType &point) const

virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &) const

virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &inputTensor, const InputPointType &point) const

virtual OutputPointType	TransformPoint (const InputPointType &) const=0

virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &) const

virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &inputTensor, const InputPointType &point) const

virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &) const

virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &inputTensor, const InputPointType &point) const

virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &) const

virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &vector, 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 void	UpdateTransformParameters (const DerivativeType &update, ParametersValueType factor=1.0)

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

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

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

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

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

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

Public Member Functions inherited from itk::Object
unsigned long	AddObserver (const EventObject &event, Command *)

unsigned long	AddObserver (const EventObject &event, Command *) const

unsigned long	AddObserver (const EventObject &event, std::function< void(const EventObject &)> function) const

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 noexcept override

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
Pointer	Clone () const

virtual void	Delete ()

virtual int	GetReferenceCount () const

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

Static Public Member Functions
static Pointer	New ()

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

static void	GlobalWarningDisplayOff ()

static void	GlobalWarningDisplayOn ()

static Pointer	New ()

static void	SetGlobalWarningDisplay (bool val)

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

static Pointer	New ()

Static Public Attributes
static constexpr unsigned int	InputSpaceDimension = NDimensions

static constexpr unsigned int	OutputSpaceDimension = NDimensions

Static Public Attributes inherited from itk::Transform< TParametersValueType, NDimensions, NDimensions >
static constexpr unsigned int	InputSpaceDimension

static constexpr unsigned int	OutputSpaceDimension

JacobianType	m_ZeroJacobian

void	ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianPositionType &jac) const override

bool	GetInverse (Self *inverseTransform) const

InverseTransformBasePointer	GetInverseTransform () const override

TransformCategoryEnum	GetTransformCategory () const override

const FixedParametersType &	GetFixedParameters () const override

void	SetFixedParameters (const FixedParametersType &) override

const ParametersType &	GetParameters () const override

void	SetParameters (const ParametersType &) override

	IdentityTransform ()

	~IdentityTransform () override=default

Additional Inherited Members
Protected Member Functions inherited from itk::Transform< TParametersValueType, NDimensions, NDimensions >
LightObject::Pointer	InternalClone () const override

	Transform ()

	Transform (NumberOfParametersType numberOfParameters)

	~Transform () override=default

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

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

	~TransformBaseTemplate () override=default

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

	~Object () override

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

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

virtual void	SetTimeStamp (const TimeStamp &timeStamp)

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 inherited from itk::Transform< TParametersValueType, NDimensions, NDimensions >
ParametersType	m_Parameters

FixedParametersType	m_FixedParameters

DirectionChangeMatrix	m_DirectionChange

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

Detailed Description

template<typename TParametersValueType, unsigned int NDimensions = 3>
class itk::IdentityTransform< TParametersValueType, NDimensions >

Implementation of an Identity Transform.

This class defines the generic interface for an Identity Transform.

It will map every point to itself, every vector to itself and every covariant vector to itself.

This class is intended to be used primarily as a default Transform for initializing those classes supporting a generic Transform.

This class is templated over the Representation type for coordinates (that is the type used for representing the components of points and vectors) and over the dimension of the space. In this case the Input and Output spaces are the same so only one dimension is required.

Examples: Examples/Filtering/ResampleImageFilter6.cxx, Examples/Filtering/ResampleImageFilter9.cxx, Examples/Filtering/ResampleVolumesToBeIsotropic.cxx, Examples/Filtering/SubsampleVolume.cxx, Examples/RegistrationITKv4/DeformableRegistration15.cxx, Examples/RegistrationITKv4/ImageRegistration20.cxx, Examples/RegistrationITKv4/ImageRegistration7.cxx, Examples/RegistrationITKv4/ImageRegistration8.cxx, Examples/RegistrationITKv4/ImageRegistration9.cxx, Examples/RegistrationITKv4/MultiStageImageRegistration1.cxx, Examples/RegistrationITKv4/MultiStageImageRegistration2.cxx, SphinxExamples/src/Filtering/ImageGrid/ResampleAScalarImage/Code.cxx, SphinxExamples/src/Filtering/ImageGrid/ResampleAVectorImage/Code.cxx, SphinxExamples/src/Filtering/ImageGrid/UpsampleAnImage/Code.cxx, SphinxExamples/src/IO/GDCM/ResampleDICOMSeries/Code.cxx, and SphinxExamples/src/Registration/Metricsv4/PerformRegistrationOnVectorImages/Code.cxx.

Definition at line 50 of file itkIdentityTransform.h.

Member Typedef Documentation

◆ ConstPointer

template<typename TParametersValueType , unsigned int NDimensions = 3>

using itk::IdentityTransform< TParametersValueType, NDimensions >::ConstPointer = SmartPointer<const Self>

Definition at line 59 of file itkIdentityTransform.h.

◆ FixedParametersType

template<typename TParametersValueType , unsigned int NDimensions = 3>

using itk::IdentityTransform< TParametersValueType, NDimensions >::FixedParametersType = typename Superclass::FixedParametersType

Definition at line 74 of file itkIdentityTransform.h.

◆ FixedParametersValueType

template<typename TParametersValueType , unsigned int NDimensions = 3>

using itk::IdentityTransform< TParametersValueType, NDimensions >::FixedParametersValueType = typename Superclass::FixedParametersValueType

Definition at line 75 of file itkIdentityTransform.h.

◆ InputCovariantVectorType

template<typename TParametersValueType , unsigned int NDimensions = 3>

using itk::IdentityTransform< TParametersValueType, NDimensions >::InputCovariantVectorType = CovariantVector<TParametersValueType, Self::InputSpaceDimension>

Standard covariant vector type for this class

Definition at line 92 of file itkIdentityTransform.h.

◆ InputPointType

template<typename TParametersValueType , unsigned int NDimensions = 3>

using itk::IdentityTransform< TParametersValueType, NDimensions >::InputPointType = Point<TParametersValueType, Self::InputSpaceDimension>

Standard coordinate point type for this class

Definition at line 100 of file itkIdentityTransform.h.

◆ InputVectorType

template<typename TParametersValueType , unsigned int NDimensions = 3>

using itk::IdentityTransform< TParametersValueType, NDimensions >::InputVectorType = Vector<TParametersValueType, Self::InputSpaceDimension>

Standard vector type for this class.

Definition at line 88 of file itkIdentityTransform.h.

◆ InputVnlVectorType

template<typename TParametersValueType , unsigned int NDimensions = 3>

using itk::IdentityTransform< TParametersValueType, NDimensions >::InputVnlVectorType = vnl_vector_fixed<TParametersValueType, Self::InputSpaceDimension>

Standard vnl_vector type for this class.

Definition at line 96 of file itkIdentityTransform.h.

◆ InverseJacobianPositionType

template<typename TParametersValueType , unsigned int NDimensions = 3>

using itk::IdentityTransform< TParametersValueType, NDimensions >::InverseJacobianPositionType = typename Superclass::InverseJacobianPositionType

Definition at line 82 of file itkIdentityTransform.h.

◆ InverseTransformBasePointer

template<typename TParametersValueType , unsigned int NDimensions = 3>

using itk::IdentityTransform< TParametersValueType, NDimensions >::InverseTransformBasePointer = typename InverseTransformBaseType::Pointer

Definition at line 106 of file itkIdentityTransform.h.

◆ InverseTransformBaseType

template<typename TParametersValueType , unsigned int NDimensions = 3>

using itk::IdentityTransform< TParametersValueType, NDimensions >::InverseTransformBaseType = typename Superclass::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 105 of file itkIdentityTransform.h.

◆ JacobianPositionType

template<typename TParametersValueType , unsigned int NDimensions = 3>

using itk::IdentityTransform< TParametersValueType, NDimensions >::JacobianPositionType = typename Superclass::JacobianPositionType

Definition at line 81 of file itkIdentityTransform.h.

◆ JacobianType

template<typename TParametersValueType , unsigned int NDimensions = 3>

using itk::IdentityTransform< TParametersValueType, NDimensions >::JacobianType = typename Superclass::JacobianType

Type of the Jacobian matrix.

Definition at line 80 of file itkIdentityTransform.h.

◆ OutputCovariantVectorType

template<typename TParametersValueType , unsigned int NDimensions = 3>

using itk::IdentityTransform< TParametersValueType, NDimensions >::OutputCovariantVectorType = CovariantVector<TParametersValueType, Self::OutputSpaceDimension>

Definition at line 93 of file itkIdentityTransform.h.

◆ OutputPointType

template<typename TParametersValueType , unsigned int NDimensions = 3>

using itk::IdentityTransform< TParametersValueType, NDimensions >::OutputPointType = Point<TParametersValueType, Self::OutputSpaceDimension>

Definition at line 101 of file itkIdentityTransform.h.

◆ OutputVectorType

template<typename TParametersValueType , unsigned int NDimensions = 3>

using itk::IdentityTransform< TParametersValueType, NDimensions >::OutputVectorType = Vector<TParametersValueType, Self::OutputSpaceDimension>

Definition at line 89 of file itkIdentityTransform.h.

◆ OutputVnlVectorType

template<typename TParametersValueType , unsigned int NDimensions = 3>

using itk::IdentityTransform< TParametersValueType, NDimensions >::OutputVnlVectorType = vnl_vector_fixed<TParametersValueType, Self::OutputSpaceDimension>

Definition at line 97 of file itkIdentityTransform.h.

◆ ParametersType

template<typename TParametersValueType , unsigned int NDimensions = 3>

using itk::IdentityTransform< TParametersValueType, NDimensions >::ParametersType = typename Superclass::ParametersType

Type of the input parameters.

Definition at line 72 of file itkIdentityTransform.h.

◆ ParametersValueType

template<typename TParametersValueType , unsigned int NDimensions = 3>

using itk::IdentityTransform< TParametersValueType, NDimensions >::ParametersValueType = typename Superclass::ParametersValueType

Definition at line 73 of file itkIdentityTransform.h.

◆ Pointer

template<typename TParametersValueType , unsigned int NDimensions = 3>

using itk::IdentityTransform< TParametersValueType, NDimensions >::Pointer = SmartPointer<Self>

Definition at line 58 of file itkIdentityTransform.h.

◆ ScalarType

template<typename TParametersValueType , unsigned int NDimensions = 3>

using itk::IdentityTransform< TParametersValueType, NDimensions >::ScalarType = ParametersValueType

Definition at line 76 of file itkIdentityTransform.h.

◆ Self

template<typename TParametersValueType , unsigned int NDimensions = 3>

using itk::IdentityTransform< TParametersValueType, NDimensions >::Self = IdentityTransform

Standard class type aliases.

Definition at line 56 of file itkIdentityTransform.h.

◆ Superclass

template<typename TParametersValueType , unsigned int NDimensions = 3>

using itk::IdentityTransform< TParametersValueType, NDimensions >::Superclass = Transform<TParametersValueType, NDimensions, NDimensions>

Definition at line 57 of file itkIdentityTransform.h.

◆ TransformCategoryEnum

template<typename TParametersValueType , unsigned int NDimensions = 3>

using itk::IdentityTransform< TParametersValueType, NDimensions >::TransformCategoryEnum = typename Superclass::TransformCategoryEnum

Transform category type.

Definition at line 85 of file itkIdentityTransform.h.

Constructor & Destructor Documentation

◆ IdentityTransform()

template<typename TParametersValueType , unsigned int NDimensions = 3>

itk::IdentityTransform< TParametersValueType, NDimensions >::IdentityTransform ( )

inlineprotected

Get the jacobian with respect to position, which simply is an identity jacobian because the transform is position-invariant. jac will be resized as needed, but it will be more efficient if it is already properly sized.

Definition at line 244 of file itkIdentityTransform.h.

◆ ~IdentityTransform()

template<typename TParametersValueType , unsigned int NDimensions = 3>

itk::IdentityTransform< TParametersValueType, NDimensions >::~IdentityTransform ( )

overrideprotecteddefault

Get the jacobian with respect to position, which simply is an identity jacobian because the transform is position-invariant. jac will be resized as needed, but it will be more efficient if it is already properly sized.

Member Function Documentation

◆ ComputeJacobianWithRespectToParameters()

template<typename TParametersValueType , unsigned int NDimensions = 3>

void itk::IdentityTransform< TParametersValueType, NDimensions >::ComputeJacobianWithRespectToParameters	(	const InputPointType &	,
		JacobianType &	jacobian
	)		const

inlineoverride

Compute the Jacobian of the transformation

This method computes the Jacobian matrix of the transformation. given point or vector, returning the transformed point or vector. The rank of the Jacobian will also indicate if the transform is invertible at this point.

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

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

Definition at line 175 of file itkIdentityTransform.h.

◆ ComputeJacobianWithRespectToPosition()

template<typename TParametersValueType , unsigned int NDimensions = 3>

void itk::IdentityTransform< TParametersValueType, NDimensions >::ComputeJacobianWithRespectToPosition	(	const InputPointType &	,
		JacobianPositionType &	jac
	)		const

inlineoverride

Get the jacobian with respect to position, which simply is an identity jacobian because the transform is position-invariant. jac will be resized as needed, but it will be more efficient if it is already properly sized.

Definition at line 186 of file itkIdentityTransform.h.

◆ CreateAnother()

template<typename TParametersValueType , unsigned int NDimensions = 3>

virtual::itk::LightObject::Pointer itk::IdentityTransform< TParametersValueType, NDimensions >::CreateAnother ( ) const

virtual

Create an object from an instance, potentially deferring to a factory. This method allows you to create an instance of an object that is exactly the same type as the referring object. This is useful in cases where an object has been cast back to a base class.

Reimplemented from itk::Object.

◆ GetFixedParameters()

template<typename TParametersValueType , unsigned int NDimensions = 3>

const FixedParametersType& itk::IdentityTransform< TParametersValueType, NDimensions >::GetFixedParameters ( ) const

inlineoverridevirtual

Get the Fixed Parameters.

Implements itk::TransformBaseTemplate< TParametersValueType >.

Definition at line 221 of file itkIdentityTransform.h.

◆ GetInverse()

template<typename TParametersValueType , unsigned int NDimensions = 3>

bool itk::IdentityTransform< TParametersValueType, NDimensions >::GetInverse ( Self * inverseTransform ) const

inline

Get the jacobian with respect to position, which simply is an identity jacobian because the transform is position-invariant. jac will be resized as needed, but it will be more efficient if it is already properly sized.

Definition at line 195 of file itkIdentityTransform.h.

◆ GetInverseTransform()

template<typename TParametersValueType , unsigned int NDimensions = 3>

InverseTransformBasePointer itk::IdentityTransform< TParametersValueType, NDimensions >::GetInverseTransform ( ) const

inlineoverridevirtual

Return an inverse of the identity transform - another identity transform.

Reimplemented from itk::Transform< TParametersValueType, NDimensions, NDimensions >.

Definition at line 203 of file itkIdentityTransform.h.

◆ GetNameOfClass()

template<typename TParametersValueType , unsigned int NDimensions = 3>

virtual const char* itk::IdentityTransform< TParametersValueType, NDimensions >::GetNameOfClass ( ) const

virtual

Run-time type information (and related methods).

Reimplemented from itk::Transform< TParametersValueType, NDimensions, NDimensions >.

◆ GetParameters()

template<typename TParametersValueType , unsigned int NDimensions = 3>

const ParametersType& itk::IdentityTransform< TParametersValueType, NDimensions >::GetParameters ( ) const

inlineoverridevirtual

Get the Parameters.

Implements itk::TransformBaseTemplate< TParametersValueType >.

Definition at line 233 of file itkIdentityTransform.h.

◆ GetTransformCategory()

template<typename TParametersValueType , unsigned int NDimensions = 3>

TransformCategoryEnum itk::IdentityTransform< TParametersValueType, NDimensions >::GetTransformCategory ( ) const

inlineoverridevirtual

Indicates that this transform is linear. That is, given two points P and Q, and scalar coefficients a and b, then

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

Implements itk::TransformBaseTemplate< TParametersValueType >.

Definition at line 214 of file itkIdentityTransform.h.

◆ New()

template<typename TParametersValueType , unsigned int NDimensions = 3>

static Pointer itk::IdentityTransform< TParametersValueType, NDimensions >::New ( )

static

New method for creating an object using a factory.

Referenced by itk::ImageRegistrationMethodv4< TFixedImage, TMovingImage, TOutputTransform, TVirtualImage, TPointSet >::MakeOutputTransform().

◆ SetFixedParameters()

template<typename TParametersValueType , unsigned int NDimensions = 3>

void itk::IdentityTransform< TParametersValueType, NDimensions >::SetFixedParameters ( const FixedParametersType & )

inlineoverride

Set the fixed parameters and update internal transformation.

Definition at line 228 of file itkIdentityTransform.h.

◆ SetIdentity()

template<typename TParametersValueType , unsigned int NDimensions = 3>

void itk::IdentityTransform< TParametersValueType, NDimensions >::SetIdentity ( )

inline

Set the transformation to an Identity

This is a nullptr operation in the case of this particular transform. The method is provided only to comply with the interface of other transforms.

Definition at line 143 of file itkIdentityTransform.h.

◆ SetParameters()

template<typename TParametersValueType , unsigned int NDimensions = 3>

void itk::IdentityTransform< TParametersValueType, NDimensions >::SetParameters ( const ParametersType & )

inlineoverride

Set the fixed parameters and update internal transformation.

Definition at line 240 of file itkIdentityTransform.h.

◆ TransformCovariantVector()

template<typename TParametersValueType , unsigned int NDimensions = 3>

OutputCovariantVectorType itk::IdentityTransform< TParametersValueType, NDimensions >::TransformCovariantVector ( const InputCovariantVectorType & vector ) const

inlineoverride

Definition at line 133 of file itkIdentityTransform.h.

◆ TransformPoint()

template<typename TParametersValueType , unsigned int NDimensions = 3>

OutputPointType itk::IdentityTransform< TParametersValueType, NDimensions >::TransformPoint ( const InputPointType & point ) const

inlineoverride

Method to transform a point.

Definition at line 110 of file itkIdentityTransform.h.

◆ TransformVector() [1/2]

template<typename TParametersValueType , unsigned int NDimensions = 3>

OutputVectorType itk::IdentityTransform< TParametersValueType, NDimensions >::TransformVector ( const InputVectorType & vector ) const

inlineoverride

Definition at line 118 of file itkIdentityTransform.h.

◆ TransformVector() [2/2]

template<typename TParametersValueType , unsigned int NDimensions = 3>

OutputVnlVectorType itk::IdentityTransform< TParametersValueType, NDimensions >::TransformVector ( const InputVnlVectorType & vector ) const

inlineoverride

Method to transform a vnl_vector.

Definition at line 125 of file itkIdentityTransform.h.

Member Data Documentation

◆ InputSpaceDimension

template<typename TParametersValueType , unsigned int NDimensions = 3>

constexpr unsigned int itk::IdentityTransform< TParametersValueType, NDimensions >::InputSpaceDimension = NDimensions

staticconstexpr

Dimension of the domain space.

Definition at line 68 of file itkIdentityTransform.h.

◆ m_ZeroJacobian

template<typename TParametersValueType , unsigned int NDimensions = 3>

JacobianType itk::IdentityTransform< TParametersValueType, NDimensions >::m_ZeroJacobian

private

Get the jacobian with respect to position, which simply is an identity jacobian because the transform is position-invariant. jac will be resized as needed, but it will be more efficient if it is already properly sized.

Definition at line 256 of file itkIdentityTransform.h.

◆ OutputSpaceDimension

template<typename TParametersValueType , unsigned int NDimensions = 3>

constexpr unsigned int itk::IdentityTransform< TParametersValueType, NDimensions >::OutputSpaceDimension = NDimensions

staticconstexpr

Definition at line 69 of file itkIdentityTransform.h.

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

itkIdentityTransform.h

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Additional Inherited Members

Detailed Description

template<typename TParametersValueType, unsigned int NDimensions = 3> class itk::IdentityTransform< TParametersValueType, NDimensions >

Member Typedef Documentation

◆ ConstPointer

◆ FixedParametersType

◆ FixedParametersValueType

◆ InputCovariantVectorType

◆ InputPointType

◆ InputVectorType

◆ InputVnlVectorType

◆ InverseJacobianPositionType

◆ InverseTransformBasePointer

◆ InverseTransformBaseType

◆ JacobianPositionType

◆ JacobianType

◆ OutputCovariantVectorType

◆ OutputPointType

◆ OutputVectorType

◆ OutputVnlVectorType

◆ ParametersType

◆ ParametersValueType

◆ Pointer

◆ ScalarType

◆ Self

◆ Superclass

◆ TransformCategoryEnum

Constructor & Destructor Documentation

◆ IdentityTransform()

◆ ~IdentityTransform()

Member Function Documentation

◆ ComputeJacobianWithRespectToParameters()

◆ ComputeJacobianWithRespectToPosition()

◆ CreateAnother()

◆ GetFixedParameters()

◆ GetInverse()

◆ GetInverseTransform()

◆ GetNameOfClass()

◆ GetParameters()

◆ GetTransformCategory()

◆ New()

◆ SetFixedParameters()

◆ SetIdentity()

◆ SetParameters()

◆ TransformCovariantVector()

◆ TransformPoint()

◆ TransformVector() [1/2]

◆ TransformVector() [2/2]

Member Data Documentation

◆ InputSpaceDimension

◆ m_ZeroJacobian

◆ OutputSpaceDimension

template<typename TParametersValueType, unsigned int NDimensions = 3>
class itk::IdentityTransform< TParametersValueType, NDimensions >