ITK  4.13.0
Insight Segmentation and Registration Toolkit
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itk::IdentityTransform< TParametersValueType, NDimensions > Class Template Reference

#include <itkIdentityTransform.h>

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

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/RegistrationITKv3/DeformableRegistration15.cxx, Examples/RegistrationITKv3/DeformableRegistration6.cxx, Examples/RegistrationITKv3/ImageRegistration20.cxx, Examples/RegistrationITKv3/ImageRegistration7.cxx, Examples/RegistrationITKv3/ImageRegistration8.cxx, Examples/RegistrationITKv3/ImageRegistration9.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/ResampleAVectorImage/Code.cxx, SphinxExamples/src/Filtering/ImageGrid/UpsampleOrDownsampleScalarImage/Code.cxx, SphinxExamples/src/Registration/Metricsv4/PerformRegistrationOnVectorImages/Code.cxx, WikiExamples/DICOM/ResampleDICOM.cxx, WikiExamples/ImageProcessing/ResampleImageFilter.cxx, WikiExamples/ImageProcessing/ResampleSegmentedImage.cxx, WikiExamples/ImageProcessing/RGBResampleImageFilter.cxx, and WikiExamples/ImageProcessing/Upsampling.cxx.

Definition at line 51 of file itkIdentityTransform.h.

Public Types

typedef SmartPointer< const SelfConstPointer
 
typedef
Superclass::FixedParametersType 
FixedParametersType
 
typedef
Superclass::FixedParametersValueType 
FixedParametersValueType
 
typedef
InverseTransformBaseType::Pointer 
InverseTransformBasePointer
 
typedef
Superclass::InverseTransformBaseType 
InverseTransformBaseType
 
typedef Superclass::JacobianType JacobianType
 
typedef Superclass::ParametersType ParametersType
 
typedef
Superclass::ParametersValueType 
ParametersValueType
 
typedef SmartPointer< SelfPointer
 
typedef ParametersValueType ScalarType
 
typedef IdentityTransform Self
 
typedef Transform
< TParametersValueType,
NDimensions, NDimensions > 
Superclass
 
typedef
Superclass::TransformCategoryType 
TransformCategoryType
 
typedef Vector
< TParametersValueType,
itkGetStaticConstMacro(InputSpaceDimension)> 
InputVectorType
 
typedef Vector
< TParametersValueType,
itkGetStaticConstMacro(OutputSpaceDimension)> 
OutputVectorType
 
typedef CovariantVector
< TParametersValueType,
itkGetStaticConstMacro(InputSpaceDimension)> 
InputCovariantVectorType
 
typedef CovariantVector
< TParametersValueType,
itkGetStaticConstMacro(OutputSpaceDimension)> 
OutputCovariantVectorType
 
typedef vnl_vector_fixed
< TParametersValueType,
itkGetStaticConstMacro(InputSpaceDimension)> 
InputVnlVectorType
 
typedef vnl_vector_fixed
< TParametersValueType,
itkGetStaticConstMacro(OutputSpaceDimension)> 
OutputVnlVectorType
 
typedef Point
< TParametersValueType,
itkGetStaticConstMacro(InputSpaceDimension)> 
InputPointType
 
typedef Point
< TParametersValueType,
itkGetStaticConstMacro(OutputSpaceDimension)> 
OutputPointType
 
- Public Types inherited from itk::Transform< TParametersValueType, NDimensions, NDimensions >
typedef SmartPointer< const SelfConstPointer
 
typedef Array
< ParametersValueType
DerivativeType
 
typedef Matrix< double,
itkGetStaticConstMacro(OutputSpaceDimension),
itkGetStaticConstMacro(InputSpaceDimension)> 
DirectionChangeMatrix
 
typedef
Superclass::FixedParametersType 
FixedParametersType
 
typedef
Superclass::FixedParametersValueType 
FixedParametersValueType
 
typedef CovariantVector
< TParametersValueType,
NInputDimensions > 
InputCovariantVectorType
 
typedef DiffusionTensor3D
< TParametersValueType > 
InputDiffusionTensor3DType
 
typedef Matrix< double,
itkGetStaticConstMacro(InputSpaceDimension),
itkGetStaticConstMacro(InputSpaceDimension)> 
InputDirectionMatrix
 
typedef Point
< TParametersValueType,
NInputDimensions > 
InputPointType
 
typedef
SymmetricSecondRankTensor
< TParametersValueType,
NInputDimensions > 
InputSymmetricSecondRankTensorType
 
typedef VariableLengthVector
< TParametersValueType > 
InputVectorPixelType
 
typedef Vector
< TParametersValueType,
NInputDimensions > 
InputVectorType
 
typedef vnl_vector_fixed
< TParametersValueType,
NInputDimensions > 
InputVnlVectorType
 
typedef
InverseTransformBaseType::Pointer 
InverseTransformBasePointer
 
typedef Transform
< TParametersValueType,
NOutputDimensions,
NInputDimensions > 
InverseTransformBaseType
 
typedef Array2D
< ParametersValueType
JacobianType
 
typedef Matrix
< TParametersValueType,
itkGetStaticConstMacro(OutputSpaceDimension),
itkGetStaticConstMacro(InputSpaceDimension)> 
MatrixType
 
typedef
Superclass::NumberOfParametersType 
NumberOfParametersType
 
typedef CovariantVector
< TParametersValueType,
NOutputDimensions > 
OutputCovariantVectorType
 
typedef DiffusionTensor3D
< TParametersValueType > 
OutputDiffusionTensor3DType
 
typedef Matrix< double,
itkGetStaticConstMacro(OutputSpaceDimension),
itkGetStaticConstMacro(OutputSpaceDimension)> 
OutputDirectionMatrix
 
typedef Point
< TParametersValueType,
NOutputDimensions > 
OutputPointType
 
typedef
SymmetricSecondRankTensor
< TParametersValueType,
NOutputDimensions > 
OutputSymmetricSecondRankTensorType
 
typedef VariableLengthVector
< TParametersValueType > 
OutputVectorPixelType
 
typedef Vector
< TParametersValueType,
NOutputDimensions > 
OutputVectorType
 
typedef vnl_vector_fixed
< TParametersValueType,
NOutputDimensions > 
OutputVnlVectorType
 
typedef Superclass::ParametersType ParametersType
 
typedef
Superclass::ParametersValueType 
ParametersValueType
 
typedef SmartPointer< SelfPointer
 
typedef ParametersValueType ScalarType
 
typedef Transform Self
 
typedef TransformBaseTemplate
< TParametersValueType > 
Superclass
 
typedef
Superclass::TransformCategoryType 
TransformCategoryType
 
- Public Types inherited from itk::TransformBaseTemplate< TParametersValueType >
typedef SmartPointer< const SelfConstPointer
 
typedef OptimizerParameters
< FixedParametersValueType
FixedParametersType
 
typedef double FixedParametersValueType
 
typedef IdentifierType NumberOfParametersType
 
typedef OptimizerParameters
< ParametersValueType
ParametersType
 
typedef TParametersValueType ParametersValueType
 
typedef SmartPointer< SelfPointer
 
typedef TransformBaseTemplate Self
 
typedef Object Superclass
 
enum  TransformCategoryType {
  UnknownTransformCategory =0,
  Linear =1,
  BSpline =2,
  Spline =3,
  DisplacementField =4,
  VelocityField =5
}
 
- Public Types inherited from itk::Object
typedef SmartPointer< const SelfConstPointer
 
typedef SmartPointer< SelfPointer
 
typedef Object Self
 
typedef LightObject Superclass
 
- Public Types inherited from itk::LightObject
typedef SmartPointer< const SelfConstPointer
 
typedef SmartPointer< SelfPointer
 
typedef LightObject Self
 

Public Member Functions

virtual void ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &jacobian) const override
 
virtual ::itk::LightObject::Pointer CreateAnother () const
 
virtual const FixedParametersTypeGetFixedParameters () const override
 
bool GetInverse (Self *inverseTransform) const
 
virtual InverseTransformBasePointer GetInverseTransform () const override
 
virtual const char * GetNameOfClass () const
 
virtual const ParametersTypeGetParameters () const override
 
virtual TransformCategoryType GetTransformCategory () const override
 
virtual void SetFixedParameters (const FixedParametersType &) override
 
void SetIdentity (void)
 
virtual void SetParameters (const ParametersType &) override
 
virtual OutputCovariantVectorType TransformCovariantVector (const InputCovariantVectorType &vector) const override
 
virtual OutputPointType TransformPoint (const InputPointType &point) const override
 
virtual OutputVectorType TransformVector (const InputVectorType &vector) const override
 
virtual OutputVnlVectorType TransformVector (const InputVnlVectorType &vector) const override
 
virtual void ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianType &jac) const override
 
- Public Member Functions inherited from itk::Transform< TParametersValueType, NDimensions, NDimensions >
virtual void ComputeInverseJacobianWithRespectToPosition (const InputPointType &x, JacobianType &jacobian) const
 
virtual void ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &) const =0
 
virtual void ComputeJacobianWithRespectToParametersCachedTemporaries (const InputPointType &p, JacobianType &jacobian, JacobianType &) const
 
virtual void ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianType &) const
 
virtual void CopyInFixedParameters (const FixedParametersValueType *const begin, const FixedParametersValueType *const end) override
 
virtual void CopyInParameters (const ParametersValueType *const begin, const ParametersValueType *const end) override
 
unsigned int GetInputSpaceDimension (void) const override
 
bool GetInverse (Self *) const
 
virtual NumberOfParametersType GetNumberOfFixedParameters () const
 
virtual NumberOfParametersType GetNumberOfLocalParameters (void) const
 
virtual NumberOfParametersType GetNumberOfParameters (void) const override
 
unsigned int GetOutputSpaceDimension (void) const override
 
virtual std::string GetTransformTypeAsString () const override
 
virtual bool IsLinear () const
 
 itkCloneMacro (Self)
 
virtual void SetFixedParameters (const FixedParametersType &) override=0
 
virtual void SetParameters (const ParametersType &) override=0
 
virtual 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)
 
- Public Member Functions inherited from itk::Object
unsigned long AddObserver (const EventObject &event, Command *)
 
unsigned long AddObserver (const EventObject &event, Command *) const
 
virtual void DebugOff () const
 
virtual void DebugOn () const
 
CommandGetCommand (unsigned long tag)
 
bool GetDebug () const
 
MetaDataDictionaryGetMetaDataDictionary ()
 
const MetaDataDictionaryGetMetaDataDictionary () const
 
virtual ModifiedTimeType GetMTime () const
 
virtual const TimeStampGetTimeStamp () const
 
bool HasObserver (const EventObject &event) const
 
void InvokeEvent (const EventObject &)
 
void InvokeEvent (const EventObject &) const
 
virtual void Modified () const
 
virtual void Register () const override
 
void RemoveAllObservers ()
 
void RemoveObserver (unsigned long tag)
 
void SetDebug (bool debugFlag) const
 
void SetMetaDataDictionary (const MetaDataDictionary &rhs)
 
virtual void SetReferenceCount (int) override
 
virtual void UnRegister () const noexceptoverride
 
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 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 flag)
 
- Static Public Member Functions inherited from itk::LightObject
static void BreakOnError ()
 
static Pointer New ()
 

Static Public Attributes

static const unsigned int InputSpaceDimension = NDimensions
 
static const unsigned int OutputSpaceDimension = NDimensions
 
- Static Public Attributes inherited from itk::Transform< TParametersValueType, NDimensions, NDimensions >
static const unsigned int InputSpaceDimension
 
static const unsigned int OutputSpaceDimension
 

Protected Member Functions

 IdentityTransform ()
 
virtual ~IdentityTransform () override
 
- Protected Member Functions inherited from itk::Transform< TParametersValueType, NDimensions, NDimensions >
virtual LightObject::Pointer InternalClone () const override
 
OutputDiffusionTensor3DType PreservationOfPrincipalDirectionDiffusionTensor3DReorientation (const InputDiffusionTensor3DType, const JacobianType) const
 
 Transform ()
 
 Transform (NumberOfParametersType NumberOfParameters)
 
virtual ~Transform () override
 
- Protected Member Functions inherited from itk::TransformBaseTemplate< TParametersValueType >
 TransformBaseTemplate ()
 
virtual ~TransformBaseTemplate () override
 
- Protected Member Functions inherited from itk::Object
 Object ()
 
bool PrintObservers (std::ostream &os, Indent indent) const
 
virtual void PrintSelf (std::ostream &os, Indent indent) const override
 
virtual void SetTimeStamp (const TimeStamp &time)
 
virtual ~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 ()
 

Private Attributes

JacobianType m_IdentityJacobian
 

Additional Inherited Members

- Protected Attributes inherited from itk::Transform< TParametersValueType, NDimensions, NDimensions >
DirectionChangeMatrix m_DirectionChange
 
FixedParametersType m_FixedParameters
 
ParametersType m_Parameters
 
- Protected Attributes inherited from itk::LightObject
AtomicInt< int > m_ReferenceCount
 

Member Typedef Documentation

template<typename TParametersValueType , unsigned int NDimensions = 3>
typedef SmartPointer<const Self> itk::IdentityTransform< TParametersValueType, NDimensions >::ConstPointer

Definition at line 58 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
typedef Superclass::FixedParametersType itk::IdentityTransform< TParametersValueType, NDimensions >::FixedParametersType

Definition at line 74 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
typedef Superclass::FixedParametersValueType itk::IdentityTransform< TParametersValueType, NDimensions >::FixedParametersValueType

Definition at line 75 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
typedef CovariantVector<TParametersValueType, itkGetStaticConstMacro(InputSpaceDimension)> itk::IdentityTransform< TParametersValueType, NDimensions >::InputCovariantVectorType

Standard covariant vector type for this class

Definition at line 94 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
typedef Point<TParametersValueType, itkGetStaticConstMacro(InputSpaceDimension)> itk::IdentityTransform< TParametersValueType, NDimensions >::InputPointType

Standard coordinate point type for this class

Definition at line 108 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
typedef Vector<TParametersValueType, itkGetStaticConstMacro(InputSpaceDimension)> itk::IdentityTransform< TParametersValueType, NDimensions >::InputVectorType

Standard vector type for this class.

Definition at line 87 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
typedef vnl_vector_fixed<TParametersValueType, itkGetStaticConstMacro(InputSpaceDimension)> itk::IdentityTransform< TParametersValueType, NDimensions >::InputVnlVectorType

Standard vnl_vector type for this class.

Definition at line 101 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
typedef InverseTransformBaseType::Pointer itk::IdentityTransform< TParametersValueType, NDimensions >::InverseTransformBasePointer

Definition at line 116 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
typedef Superclass::InverseTransformBaseType itk::IdentityTransform< TParametersValueType, NDimensions >::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 115 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
typedef Superclass::JacobianType itk::IdentityTransform< TParametersValueType, NDimensions >::JacobianType

Type of the Jacobian matrix.

Definition at line 80 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
typedef CovariantVector<TParametersValueType, itkGetStaticConstMacro(OutputSpaceDimension)> itk::IdentityTransform< TParametersValueType, NDimensions >::OutputCovariantVectorType

Standard covariant vector type for this class

Definition at line 96 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
typedef Point<TParametersValueType, itkGetStaticConstMacro(OutputSpaceDimension)> itk::IdentityTransform< TParametersValueType, NDimensions >::OutputPointType

Standard coordinate point type for this class

Definition at line 110 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
typedef Vector<TParametersValueType, itkGetStaticConstMacro(OutputSpaceDimension)> itk::IdentityTransform< TParametersValueType, NDimensions >::OutputVectorType

Standard vector type for this class.

Definition at line 89 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
typedef vnl_vector_fixed<TParametersValueType, itkGetStaticConstMacro(OutputSpaceDimension)> itk::IdentityTransform< TParametersValueType, NDimensions >::OutputVnlVectorType

Standard vnl_vector type for this class.

Definition at line 103 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
typedef Superclass::ParametersType itk::IdentityTransform< TParametersValueType, NDimensions >::ParametersType

Type of the input parameters.

Definition at line 72 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
typedef Superclass::ParametersValueType itk::IdentityTransform< TParametersValueType, NDimensions >::ParametersValueType

Definition at line 73 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
typedef SmartPointer<Self> itk::IdentityTransform< TParametersValueType, NDimensions >::Pointer

Definition at line 57 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
typedef ParametersValueType itk::IdentityTransform< TParametersValueType, NDimensions >::ScalarType

Definition at line 76 of file itkIdentityTransform.h.

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

Standard class typedefs.

Definition at line 55 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
typedef Transform<TParametersValueType, NDimensions, NDimensions> itk::IdentityTransform< TParametersValueType, NDimensions >::Superclass

Definition at line 56 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
typedef Superclass::TransformCategoryType itk::IdentityTransform< TParametersValueType, NDimensions >::TransformCategoryType

Transform category type.

Definition at line 83 of file itkIdentityTransform.h.

Constructor & Destructor Documentation

template<typename TParametersValueType , unsigned int NDimensions = 3>
itk::IdentityTransform< TParametersValueType, NDimensions >::IdentityTransform ( )
inlineprotected

Definition at line 249 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
virtual itk::IdentityTransform< TParametersValueType, NDimensions >::~IdentityTransform ( )
inlineoverrideprotectedvirtual

Definition at line 257 of file itkIdentityTransform.h.

Member Function Documentation

template<typename TParametersValueType , unsigned int NDimensions = 3>
virtual void itk::IdentityTransform< TParametersValueType, NDimensions >::ComputeJacobianWithRespectToParameters ( const InputPointType ,
JacobianType jacobian 
) const
inlineoverridevirtual

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 181 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
virtual void itk::IdentityTransform< TParametersValueType, NDimensions >::ComputeJacobianWithRespectToPosition ( const InputPointType ,
JacobianType jac 
) const
inlineoverridevirtual

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 191 of file itkIdentityTransform.h.

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.

template<typename TParametersValueType , unsigned int NDimensions = 3>
virtual const FixedParametersType& itk::IdentityTransform< TParametersValueType, NDimensions >::GetFixedParameters ( void  ) const
inlineoverridevirtual

Get the Fixed Parameters.

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

Definition at line 227 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
bool itk::IdentityTransform< TParametersValueType, NDimensions >::GetInverse ( Self inverseTransform) const
inline

Definition at line 204 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
virtual 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 211 of file itkIdentityTransform.h.

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 >.

template<typename TParametersValueType , unsigned int NDimensions = 3>
virtual const ParametersType& itk::IdentityTransform< TParametersValueType, NDimensions >::GetParameters ( void  ) const
inlineoverridevirtual

Get the Parameters.

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

Definition at line 238 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
virtual TransformCategoryType 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

\[ T( a*P + b*Q ) = a * T(P) + b * T(Q) \]

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

Definition at line 221 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
static Pointer itk::IdentityTransform< TParametersValueType, NDimensions >::New ( )
static
template<typename TParametersValueType , unsigned int NDimensions = 3>
virtual void itk::IdentityTransform< TParametersValueType, NDimensions >::SetFixedParameters ( const FixedParametersType )
inlineoverridevirtual

Set the fixed parameters and update internal transformation.

Definition at line 233 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
void itk::IdentityTransform< TParametersValueType, NDimensions >::SetIdentity ( void  )
inline

Set the transformation to an Identity

This is a ITK_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 149 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
virtual void itk::IdentityTransform< TParametersValueType, NDimensions >::SetParameters ( const ParametersType )
inlineoverridevirtual

Set the fixed parameters and update internal transformation.

Definition at line 244 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
virtual OutputCovariantVectorType itk::IdentityTransform< TParametersValueType, NDimensions >::TransformCovariantVector ( const InputCovariantVectorType vector) const
inlineoverridevirtual

Definition at line 139 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
virtual OutputPointType itk::IdentityTransform< TParametersValueType, NDimensions >::TransformPoint ( const InputPointType point) const
inlineoverridevirtual

Method to transform a point.

Definition at line 119 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
virtual OutputVectorType itk::IdentityTransform< TParametersValueType, NDimensions >::TransformVector ( const InputVectorType vector) const
inlineoverridevirtual

Definition at line 126 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
virtual OutputVnlVectorType itk::IdentityTransform< TParametersValueType, NDimensions >::TransformVector ( const InputVnlVectorType vector) const
inlineoverridevirtual

Method to transform a vnl_vector.

Definition at line 132 of file itkIdentityTransform.h.

Member Data Documentation

template<typename TParametersValueType , unsigned int NDimensions = 3>
const unsigned int itk::IdentityTransform< TParametersValueType, NDimensions >::InputSpaceDimension = NDimensions
static

Dimension of the domain space.

Definition at line 67 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
JacobianType itk::IdentityTransform< TParametersValueType, NDimensions >::m_IdentityJacobian
private

Definition at line 260 of file itkIdentityTransform.h.

template<typename TParametersValueType , unsigned int NDimensions = 3>
const unsigned int itk::IdentityTransform< TParametersValueType, NDimensions >::OutputSpaceDimension = NDimensions
static

Dimension of the domain space.

Definition at line 68 of file itkIdentityTransform.h.


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