ITK  4.9.0
Insight Segmentation and Registration Toolkit
Public Types | Public Member Functions | Protected Member Functions | Protected Attributes | Private Member Functions | Static Private Member Functions | List of all members
itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions > Class Template Referenceabstract
Module ITKTransform

#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, JacobianType &jacobian ) const;

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

Definition at line 82 of file itkTransform.h.

Public Types

typedef SmartPointer< const Self > ConstPointer
 
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< Self > Pointer
 
typedef ParametersValueType ScalarType
 
typedef Transform Self
 
typedef TransformBaseTemplate
< TParametersValueType > 		Superclass
 
typedef
Superclass::TransformCategoryType 		TransformCategoryType
 
- Public Types inherited from itk::TransformBaseTemplate< TParametersValueType >
typedef SmartPointer< const Self > ConstPointer
 
typedef OptimizerParameters
< FixedParametersValueType > 		FixedParametersType
 
typedef double FixedParametersValueType
 
typedef IdentifierType NumberOfParametersType
 
typedef OptimizerParameters
< ParametersValueType > 		ParametersType
 
typedef TParametersValueType ParametersValueType
 
typedef SmartPointer< Self > Pointer
 
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 Self > ConstPointer
 
typedef SmartPointer< Self > Pointer
 
typedef Object Self
 
typedef LightObject Superclass
 
- Public Types inherited from itk::LightObject
typedef SmartPointer< const Self > ConstPointer
 
typedef SmartPointer< Self > Pointer
 
typedef LightObject Self
 

Public Member Functions

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
 
virtual const FixedParametersType & GetFixedParameters (void) const override
 
unsigned int GetInputSpaceDimension (void) const override
 
bool GetInverse (Self *) const
 
virtual InverseTransformBasePointer GetInverseTransform () const
 
virtual const char * GetNameOfClass () const
 
virtual NumberOfParametersType GetNumberOfFixedParameters () const
 
virtual NumberOfParametersType GetNumberOfLocalParameters (void) const
 
virtual NumberOfParametersType GetNumberOfParameters (void) const override
 
unsigned int GetOutputSpaceDimension (void) const override
 
virtual const ParametersType & GetParameters (void) const override
 
virtual TransformCategoryType GetTransformCategory () 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::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
 
- Public Member Functions inherited from itk::Object
unsigned long AddObserver (const EventObject &event, Command *)
 
unsigned long AddObserver (const EventObject &event, Command *) const
 
virtual LightObject::Pointer CreateAnother () const 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
 
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 Attributes

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

Protected Member Functions

virtual LightObject::Pointer InternalClone () const override
 
OutputDiffusionTensor3DType PreservationOfPrincipalDirectionDiffusionTensor3DReorientation (const InputDiffusionTensor3DType, const JacobianType) const
 
 Transform ()
 
 Transform (NumberOfParametersType NumberOfParameters)
 
virtual ~Transform ()
 
- Protected Member Functions inherited from itk::TransformBaseTemplate< TParametersValueType >
 TransformBaseTemplate ()
 
virtual ~TransformBaseTemplate ()
 
- 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 ()
 
- 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
AtomicInt< int > m_ReferenceCount
 

Private Member Functions

void operator= (const Self &) ITK_DELETE_FUNCTION
 
 Transform (const Self &) ITK_DELETE_FUNCTION
 

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

Definition at line 89 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef Array<ParametersValueType> itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::DerivativeType

Definition at line 119 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef Matrix<double, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)> itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::DirectionChangeMatrix

Definition at line 182 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef Superclass::FixedParametersType itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::FixedParametersType

Type of the input parameters.

Definition at line 115 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef Superclass::FixedParametersValueType itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::FixedParametersValueType

Definition at line 116 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef CovariantVector<TParametersValueType, NInputDimensions> itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::InputCovariantVectorType

Standard covariant vector type for this class

Definition at line 148 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef DiffusionTensor3D<TParametersValueType> itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::InputDiffusionTensor3DType

Definition at line 143 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef Matrix<double, itkGetStaticConstMacro(InputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)> itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::InputDirectionMatrix

Definition at line 178 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef Point<TParametersValueType, NInputDimensions> itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::InputPointType

Standard coordinate point type for this class

Definition at line 157 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef SymmetricSecondRankTensor<TParametersValueType,NInputDimensions> itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::InputSymmetricSecondRankTensorType

Definition at line 138 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef VariableLengthVector<TParametersValueType> itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::InputVectorPixelType

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

Definition at line 133 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef Vector<TParametersValueType, NInputDimensions> itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::InputVectorType

Standard vector type for this class.

Definition at line 128 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef vnl_vector_fixed<TParametersValueType, NInputDimensions> itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::InputVnlVectorType

Standard vnl_vector type for this class.

Definition at line 153 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef InverseTransformBaseType::Pointer itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::InverseTransformBasePointer

Definition at line 165 of file itkTransform.h.

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

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

Definition at line 163 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef Array2D<ParametersValueType> itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::JacobianType

Type of the Jacobian matrix.

Definition at line 125 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef Matrix<TParametersValueType, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)> itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::MatrixType

Definition at line 169 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef Superclass::NumberOfParametersType itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::NumberOfParametersType

Definition at line 184 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef CovariantVector<TParametersValueType, NOutputDimensions> itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::OutputCovariantVectorType

Definition at line 150 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef DiffusionTensor3D<TParametersValueType> itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::OutputDiffusionTensor3DType

Definition at line 144 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef Matrix<double, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(OutputSpaceDimension)> itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::OutputDirectionMatrix

Definition at line 174 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef Point<TParametersValueType, NOutputDimensions> itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::OutputPointType

Definition at line 158 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef SymmetricSecondRankTensor<TParametersValueType,NOutputDimensions> itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::OutputSymmetricSecondRankTensorType

Definition at line 140 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef VariableLengthVector<TParametersValueType> itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::OutputVectorPixelType

Definition at line 134 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef Vector<TParametersValueType, NOutputDimensions> itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::OutputVectorType

Definition at line 129 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef vnl_vector_fixed<TParametersValueType, NOutputDimensions> itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::OutputVnlVectorType

Definition at line 154 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef Superclass::ParametersType itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::ParametersType

Definition at line 117 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef Superclass::ParametersValueType itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::ParametersValueType

Definition at line 118 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef SmartPointer<Self> itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::Pointer

Definition at line 88 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef ParametersValueType itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::ScalarType

Type of the scalar representing coordinate and vector elements.

Definition at line 122 of file itkTransform.h.

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

Standard class typedefs.

Definition at line 86 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef TransformBaseTemplate<TParametersValueType> itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::Superclass

Definition at line 87 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef Superclass::TransformCategoryType itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::TransformCategoryType

Definition at line 453 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>
virtual itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::~Transform ( )
inlineprotectedvirtual

Definition at line 563 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::Transform ( const Self &  )
private

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,
JacobianType &  jacobian 
) const
virtual

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

Reimplemented in itk::MatrixOffsetTransformBase< 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 >.

Referenced by itk::Transform< TParametersValueType, NDimensions, NSubDimensions >::ComputeJacobianWithRespectToParametersCachedTemporaries().

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 526 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 &  ,
JacobianType &   
) const
inlinevirtual

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

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

Definition at line 538 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
virtual void itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::CopyInFixedParameters ( const FixedParametersValueType *const  begin,
const FixedParametersValueType *const  end 
)
overridevirtual

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

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

Get the Fixed Parameters.

Implements itk::TransformBaseTemplate< TParametersValueType >.

Reimplemented in itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TParametersValueType, 2, 2 >, itk::MatrixOffsetTransformBase< TParametersValueType, 3, 3 >, itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >, itk::CompositeTransform< TParametersValueType, NDimensions >, itk::MultiTransform< TParametersValueType, NDimensions, NSubDimensions >, itk::MultiTransform< TParametersValueType, NDimensions, NDimensions >, itk::IdentityTransform< TParametersValueType, NDimensions >, itk::TranslationTransform< TParametersValueType, NDimensions >, itk::KernelTransform< TParametersValueType, NDimensions >, itk::BSplineBaseTransform< TParametersValueType, NDimensions, VSplineOrder >, itk::CenteredSimilarity2DTransform< TParametersValueType >, and itk::CenteredRigid2DTransform< TParametersValueType >.

Definition at line 386 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
unsigned int itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::GetInputSpaceDimension ( void  ) const
inlineoverridevirtual

Get the size of the input space

Implements itk::TransformBaseTemplate< TParametersValueType >.

Definition at line 103 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 434 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 ITK_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.

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

Definition at line 445 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 >.

Reimplemented in itk::BSplineDeformableTransform< TParametersValueType, NDimensions, VSplineOrder >, itk::BSplineTransform< TParametersValueType, NDimensions, VSplineOrder >, itk::AffineTransform< TParametersValueType, NDimensions >, itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TParametersValueType, 2, 2 >, itk::MatrixOffsetTransformBase< TParametersValueType, 3, 3 >, itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >, itk::AzimuthElevationToCartesianTransform< TParametersValueType, NDimensions >, itk::CompositeTransform< TParametersValueType, NDimensions >, itk::DisplacementFieldTransform< TParametersValueType, NDimensions >, itk::TimeVaryingBSplineVelocityFieldTransform< TParametersValueType, NDimensions >, itk::Similarity2DTransform< TParametersValueType >, itk::MultiTransform< TParametersValueType, NDimensions, NSubDimensions >, itk::MultiTransform< TParametersValueType, NDimensions, NDimensions >, itk::KernelTransform< TParametersValueType, NDimensions >, itk::Rigid3DTransform< TParametersValueType >, itkv3::Rigid3DTransform< TParametersValueType >, itk::CenteredSimilarity2DTransform< TParametersValueType >, itk::ScaleSkewVersor3DTransform< TParametersValueType >, itk::Rigid2DTransform< TParametersValueType >, itk::BSplineExponentialDiffeomorphicTransform< TParametersValueType, NDimensions >, itk::GaussianExponentialDiffeomorphicTransform< TParametersValueType, NDimensions >, itk::CenteredRigid2DTransform< TParametersValueType >, itk::TimeVaryingVelocityFieldTransform< TParametersValueType, NDimensions >, itk::IdentityTransform< TParametersValueType, NDimensions >, itk::Rigid3DPerspectiveTransform< TParametersValueType >, itk::BSplineSmoothingOnUpdateDisplacementFieldTransform< TParametersValueType, NDimensions >, itk::QuaternionRigidTransform< TParametersValueType >, itk::ScaleVersor3DTransform< TParametersValueType >, itk::Euler3DTransform< TParametersValueType >, itk::Similarity3DTransform< TParametersValueType >, itk::VersorRigid3DTransform< TParametersValueType >, itk::TranslationTransform< TParametersValueType, NDimensions >, itk::GaussianSmoothingOnUpdateDisplacementFieldTransform< TParametersValueType, NDimensions >, itk::ScaleTransform< TParametersValueType, NDimensions >, itk::VersorTransform< TParametersValueType >, itk::Euler2DTransform< TParametersValueType >, itk::ElasticBodySplineKernelTransform< TParametersValueType, NDimensions >, itk::ElasticBodyReciprocalSplineKernelTransform< TParametersValueType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TParametersValueType, NDimensions >, itk::CenteredEuler3DTransform< TParametersValueType >, itk::GaussianSmoothingOnUpdateTimeVaryingVelocityFieldTransform< TParametersValueType, NDimensions >, itk::ScaleLogarithmicTransform< TParametersValueType, NDimensions >, itk::ThinPlateSplineKernelTransform< TParametersValueType, NDimensions >, itk::VolumeSplineKernelTransform< TParametersValueType, NDimensions >, itk::FixedCenterOfRotationAffineTransform< TParametersValueType, NDimensions >, itk::ConstantVelocityFieldTransform< TParametersValueType, NDimensions >, itk::BSplineBaseTransform< TParametersValueType, NDimensions, VSplineOrder >, itk::CenteredAffineTransform< TParametersValueType, NDimensions >, itk::ScalableAffineTransform< TParametersValueType, NDimensions >, and itk::VelocityFieldTransform< TParametersValueType, NDimensions >.

Referenced by itk::Transform< TParametersValueType, NDimensions, NSubDimensions >::ComputeJacobianWithRespectToPosition(), itk::Transform< TParametersValueType, NDimensions, NSubDimensions >::TransformCovariantVector(), itk::Transform< TParametersValueType, NDimensions, NSubDimensions >::TransformDiffusionTensor3D(), itk::Transform< TParametersValueType, NDimensions, NSubDimensions >::TransformSymmetricSecondRankTensor(), and itk::Transform< TParametersValueType, NDimensions, NSubDimensions >::TransformVector().

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
virtual NumberOfParametersType itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::GetNumberOfFixedParameters ( void  ) 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 421 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
virtual NumberOfParametersType itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::GetNumberOfLocalParameters ( void  ) const
inlinevirtual

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

Reimplemented in itk::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 409 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
virtual NumberOfParametersType itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::GetNumberOfParameters ( void  ) const
inlineoverridevirtual

Return the number of parameters that completely define the Transfom

Implements itk::TransformBaseTemplate< TParametersValueType >.

Reimplemented in itk::CompositeTransform< TParametersValueType, NDimensions >, itk::BSplineBaseTransform< TParametersValueType, NDimensions, VSplineOrder >, itk::BSplineDeformableTransform< TParametersValueType, NDimensions, VSplineOrder >, itk::MultiTransform< TParametersValueType, NDimensions, NSubDimensions >, itk::MultiTransform< TParametersValueType, NDimensions, NDimensions >, itk::BSplineTransform< TParametersValueType, NDimensions, VSplineOrder >, and itk::TranslationTransform< TParametersValueType, NDimensions >.

Definition at line 415 of file itkTransform.h.

Referenced by itk::Transform< TParametersValueType, NDimensions, NSubDimensions >::GetNumberOfLocalParameters(), itk::KullbackLeiblerCompareHistogramImageToImageMetric< TFixedImage, TMovingImage >::GetNumberOfParameters(), and itk::CompareHistogramImageToImageMetric< TFixedImage, TMovingImage >::GetNumberOfParameters().

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
unsigned int itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::GetOutputSpaceDimension ( void  ) const
inlineoverridevirtual

Get the size of the output space

Implements itk::TransformBaseTemplate< TParametersValueType >.

Definition at line 109 of file itkTransform.h.

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

Get the Transformation Parameters.

Implements itk::TransformBaseTemplate< TParametersValueType >.

Reimplemented in itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TParametersValueType, 2, 2 >, itk::MatrixOffsetTransformBase< TParametersValueType, 3, 3 >, itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >, itk::CompositeTransform< TParametersValueType, NDimensions >, itk::MultiTransform< TParametersValueType, NDimensions, NSubDimensions >, itk::MultiTransform< TParametersValueType, NDimensions, NDimensions >, itk::IdentityTransform< TParametersValueType, NDimensions >, itk::Rigid2DTransform< TParametersValueType >, itk::KernelTransform< TParametersValueType, NDimensions >, itk::BSplineBaseTransform< TParametersValueType, NDimensions, VSplineOrder >, itk::Similarity2DTransform< TParametersValueType >, itk::CenteredSimilarity2DTransform< TParametersValueType >, itk::Rigid3DPerspectiveTransform< TParametersValueType >, itk::CenteredRigid2DTransform< TParametersValueType >, itk::ScaleSkewVersor3DTransform< TParametersValueType >, itk::QuaternionRigidTransform< TParametersValueType >, itk::Similarity3DTransform< TParametersValueType >, itk::TranslationTransform< TParametersValueType, NDimensions >, itk::ScaleVersor3DTransform< TParametersValueType >, itk::ScaleTransform< TParametersValueType, NDimensions >, itk::VersorTransform< TParametersValueType >, itk::VersorRigid3DTransform< TParametersValueType >, itk::CenteredEuler3DTransform< TParametersValueType >, itk::ScaleLogarithmicTransform< TParametersValueType, NDimensions >, itk::Euler3DTransform< TParametersValueType >, and itk::CenteredAffineTransform< TParametersValueType, NDimensions >.

Definition at line 377 of file itkTransform.h.

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
virtual 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::DisplacementFieldTransform< TParametersValueType, NDimensions >, itk::CompositeTransform< TParametersValueType, NDimensions >, itk::BSplineBaseTransform< TParametersValueType, NDimensions, VSplineOrder >, itk::MultiTransform< TParametersValueType, NDimensions, NSubDimensions >, itk::MultiTransform< TParametersValueType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TParametersValueType, 2, 2 >, itk::MatrixOffsetTransformBase< TParametersValueType, 3, 3 >, itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >, itk::IdentityTransform< TParametersValueType, NDimensions >, itk::KernelTransform< TParametersValueType, NDimensions >, and itk::TranslationTransform< TParametersValueType, NDimensions >.

Definition at line 458 of file itkTransform.h.

Referenced by itk::Transform< TParametersValueType, NDimensions, NSubDimensions >::IsLinear().

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
virtual 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 587 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 594 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 601 of file itkTransform.h.

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

Reimplemented in itk::CompositeTransform< TParametersValueType, NDimensions >, itk::VelocityFieldTransform< TParametersValueType, NDimensions >, itk::ConstantVelocityFieldTransform< TParametersValueType, NDimensions >, itk::BSplineSmoothingOnUpdateDisplacementFieldTransform< TParametersValueType, NDimensions >, and itk::GaussianSmoothingOnUpdateDisplacementFieldTransform< TParametersValueType, NDimensions >.

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 463 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>
void itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::operator= ( const Self &  )
private
template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
OutputDiffusionTensor3DType itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::PreservationOfPrincipalDirectionDiffusionTensor3DReorientation ( const InputDiffusionTensor3DType  ,
const JacobianType   
) const
protected
template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
virtual void itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::SetFixedParameters ( const FixedParametersType &  )
overridepure virtual

Set the fixed parameters and update internal transformation.

Implemented in itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TParametersValueType, 2, 2 >, itk::MatrixOffsetTransformBase< TParametersValueType, 3, 3 >, itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >, itk::DisplacementFieldTransform< TParametersValueType, NDimensions >, itk::MultiTransform< TParametersValueType, NDimensions, NDimensions >, itk::TranslationTransform< TParametersValueType, NDimensions >, itk::CenteredSimilarity2DTransform< TParametersValueType >, itk::CenteredRigid2DTransform< TParametersValueType >, itk::ConstantVelocityFieldTransform< TParametersValueType, NDimensions >, and itk::VelocityFieldTransform< TParametersValueType, NDimensions >.

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

Implements itk::TransformBaseTemplate< TParametersValueType >.

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

Referenced by itk::Transform< TParametersValueType, NDimensions, NSubDimensions >::SetParametersByValue().

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
virtual void itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::SetParametersByValue ( const ParametersType &  p)
inlineoverridevirtual

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

Implements itk::TransformBaseTemplate< TParametersValueType >.

Definition at line 357 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 239 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 256 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 273 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 292 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 314 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 323 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 193 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 208 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 223 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
updatemust be of the same length as returned by GetNumberOfParameters(). Throw an exception otherwise.
factoris 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>
const unsigned int itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::InputSpaceDimension = NInputDimensions
static

Dimension of the domain space.

Definition at line 95 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 579 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 568 of file itkTransform.h.

Referenced by itk::Transform< TParametersValueType, NDimensions, NSubDimensions >::GetFixedParameters(), and itk::Transform< TParametersValueType, NDimensions, NSubDimensions >::GetNumberOfFixedParameters().

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
ParametersType itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::m_Parameters
mutableprotected

Definition at line 567 of file itkTransform.h.

Referenced by itk::Transform< TParametersValueType, NDimensions, NSubDimensions >::GetNumberOfParameters(), and itk::Transform< TParametersValueType, NDimensions, NSubDimensions >::GetParameters().

template<typename TParametersValueType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
const unsigned int itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >::OutputSpaceDimension = NOutputDimensions
static

Dimension of the domain space.

Definition at line 96 of file itkTransform.h.

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