#include <itkMatrixOffsetTransformBase.h>

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

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

Detailed Description

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

Matrix and Offset transformation of a vector space (e.g. space coordinates)

This class serves as a base class for transforms that can be expressed as a linear transformation plus a constant offset (e.g., affine, similarity and rigid transforms). This base class also provides the concept of using a center of rotation and a translation instead of an offset.

As derived instances of this class are specializations of an affine transform, any two of these transformations may be composed and the result is an affine transformation. However, the order is important. Given two affine transformations T1 and T2, we will say that "precomposing T1 with T2" yields the transformation which applies T1 to the source, and then applies T2 to that result to obtain the target. Conversely, we will say that "postcomposing T1 with T2" yields the transformation which applies T2 to the source, and then applies T1 to that result to obtain the target. (Whether T1 or T2 comes first lexicographically depends on whether you choose to write mappings from right-to-left or vice versa; we avoid the whole problem by referring to the order of application rather than the textual order.)

Template Parameters

ScalarT	The type to be used for scalar numeric values. Either float or double.
NInputDimensions	The number of dimensions of the input vector space.
NOutputDimensions	The number of dimensions of the output vector space.

This class provides several methods for setting the matrix and offset defining the transform. To support the registration framework, the transform parameters can also be set as an Array<double> of size (NInputDimension + 1) * NOutputDimension using method SetParameters(). The first (NOutputDimension x NInputDimension) parameters defines the matrix in row-major order (where the column index varies the fastest). The last NOutputDimension parameters defines the translation in each dimensions.

Examples:: WikiExamples/IO/RegisterTransform.cxx.

Definition at line 74 of file itkMatrixOffsetTransformBase.h.

Public Types
typedef InputPointType	CenterType

typedef SmartPointer< const Self >	ConstPointer

typedef Superclass::FixedParametersType	FixedParametersType

typedef Superclass::FixedParametersValueType	FixedParametersValueType

typedef Superclass::InputDiffusionTensor3DType	InputDiffusionTensor3DType

typedef Superclass::InputSymmetricSecondRankTensorType	InputSymmetricSecondRankTensorType

typedef CovariantVector < TParametersValueType, InputDiffusionTensor3DType::Dimension >	InputTensorEigenVectorType

typedef Superclass::InputVectorPixelType	InputVectorPixelType

typedef Matrix < TParametersValueType, itkGetStaticConstMacro(InputSpaceDimension), itkGetStaticConstMacro(OutputSpaceDimension)>	InverseMatrixType

typedef InverseTransformBaseType::Pointer	InverseTransformBasePointer

typedef Superclass::InverseTransformBaseType	InverseTransformBaseType

typedef Superclass::JacobianType	JacobianType

typedef OutputVectorType	OffsetType

typedef OffsetType::ValueType	OffsetValueType

typedef Superclass::OutputDiffusionTensor3DType	OutputDiffusionTensor3DType

typedef Superclass::OutputSymmetricSecondRankTensorType	OutputSymmetricSecondRankTensorType

typedef Superclass::OutputVectorPixelType	OutputVectorPixelType

typedef Superclass::ParametersType	ParametersType

typedef Superclass::ParametersValueType	ParametersValueType

typedef SmartPointer< Self >	Pointer

typedef Superclass::ScalarType	ScalarType

typedef MatrixOffsetTransformBase	Self

typedef Transform < TParametersValueType, NInputDimensions, NOutputDimensions >	Superclass

typedef Superclass::TransformCategoryType	TransformCategoryType

typedef OutputVectorType	TranslationType

typedef TranslationType::ValueType	TranslationValueType


typedef Vector < TParametersValueType, itkGetStaticConstMacro(InputSpaceDimension)>	InputVectorType

typedef Vector < TParametersValueType, itkGetStaticConstMacro(OutputSpaceDimension)>	OutputVectorType

typedef OutputVectorType::ValueType	OutputVectorValueType


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 InputPointType::ValueType	InputPointValueType

typedef Point < TParametersValueType, itkGetStaticConstMacro(OutputSpaceDimension)>	OutputPointType

typedef OutputPointType::ValueType	OutputPointValueType


typedef Matrix < TParametersValueType, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)>	MatrixType

typedef MatrixType::ValueType	MatrixValueType

Public Types inherited from itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >
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 ParametersValueType	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
void	Compose (const Self *other, bool pre=0)

virtual void	ComputeInverseJacobianWithRespectToPosition (const InputPointType &x, JacobianType &jac) const override

virtual void	ComputeJacobianWithRespectToParameters (const InputPointType &x, JacobianType &j) const override

virtual void	ComputeJacobianWithRespectToPosition (const InputPointType &x, JacobianType &jac) const override

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

const InputPointType &	GetCenter () const

virtual const FixedParametersType &	GetFixedParameters () const override

virtual InverseTransformBasePointer	GetInverseTransform () const override

virtual const MatrixType &	GetMatrix () const

virtual const char *	GetNameOfClass () const

const OutputVectorType &	GetOffset () const

const ParametersType &	GetParameters () const override

virtual TransformCategoryType	GetTransformCategory () const override

const OutputVectorType &	GetTranslation () const

virtual bool	IsLinear () const override

virtual void	SetFixedParameters (const FixedParametersType &) override

virtual void	SetIdentity ()

void	SetParameters (const ParametersType &parameters) override

OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &vector) const override

OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &vector) const override

OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &tensor) const override

OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &tensor) const override

OutputPointType	TransformPoint (const InputPointType &point) const override

OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &tensor) const override

OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &tensor) const override

OutputVectorType	TransformVector (const InputVectorType &vector) const override

OutputVnlVectorType	TransformVector (const InputVnlVectorType &vector) const override

OutputVectorPixelType	TransformVector (const InputVectorPixelType &vector) const override


virtual void	SetMatrix (const MatrixType &matrix)


void	SetOffset (const OutputVectorType &offset)


void	SetCenter (const InputPointType &center)


void	SetTranslation (const OutputVectorType &translation)


bool	GetInverse (Self *inverse) const

Public Member Functions inherited from itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >
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

	itkCloneMacro (Self)

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	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 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 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 = NInputDimensions

static const unsigned int	OutputSpaceDimension = NOutputDimensions

static const unsigned int	ParametersDimension = NOutputDimensions * ( NInputDimensions + 1 )

Static Public Attributes inherited from itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >
static const unsigned int	InputSpaceDimension = NInputDimensions

static const unsigned int	OutputSpaceDimension = NOutputDimensions

Protected Member Functions
virtual void	ComputeMatrix ()

virtual void	ComputeMatrixParameters ()

virtual void	ComputeOffset ()

virtual void	ComputeTranslation ()

const InverseMatrixType &	GetInverseMatrix () const

const InverseMatrixType &	GetVarInverseMatrix () const

bool	InverseMatrixIsOld () const

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

void	SetVarCenter (const InputPointType &center)

void	SetVarInverseMatrix (const InverseMatrixType &matrix) const

void	SetVarMatrix (const MatrixType &matrix)

void	SetVarOffset (const OutputVectorType &offset)

void	SetVarTranslation (const OutputVectorType &translation)

virtual	~MatrixOffsetTransformBase ()


	MatrixOffsetTransformBase (const MatrixType &matrix, const OutputVectorType &offset)

	MatrixOffsetTransformBase (unsigned int paramDims)

	MatrixOffsetTransformBase ()

Protected Member Functions inherited from itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >
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	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 ()

Private Member Functions
	MatrixOffsetTransformBase (const Self &other)

const Self &	operator= (const Self &)

Private Attributes
InputPointType	m_Center

InverseMatrixType	m_InverseMatrix

TimeStamp	m_InverseMatrixMTime

MatrixType	m_Matrix

TimeStamp	m_MatrixMTime

OutputVectorType	m_Offset

bool	m_Singular

OutputVectorType	m_Translation

Additional Inherited Members
Protected Attributes inherited from itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >
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 = double, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef InputPointType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::CenterType

Definition at line 182 of file itkMatrixOffsetTransformBase.h.

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

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

Definition at line 85 of file itkMatrixOffsetTransformBase.h.

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

typedef Superclass::FixedParametersType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::FixedParametersType

Parameters Type

Definition at line 101 of file itkMatrixOffsetTransformBase.h.

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

typedef Superclass::FixedParametersValueType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::FixedParametersValueType

Definition at line 102 of file itkMatrixOffsetTransformBase.h.

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

typedef CovariantVector<TParametersValueType, itkGetStaticConstMacro(InputSpaceDimension)> itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::InputCovariantVectorType

Standard covariant vector type for this class

Definition at line 126 of file itkMatrixOffsetTransformBase.h.

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

typedef Superclass::InputDiffusionTensor3DType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::InputDiffusionTensor3DType

Standard diffusion tensor type for this class

Definition at line 137 of file itkMatrixOffsetTransformBase.h.

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

typedef Point<TParametersValueType, itkGetStaticConstMacro(InputSpaceDimension)> itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::InputPointType

Standard coordinate point type for this class

Definition at line 162 of file itkMatrixOffsetTransformBase.h.

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

typedef InputPointType::ValueType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::InputPointValueType

Standard coordinate point type for this class

Definition at line 163 of file itkMatrixOffsetTransformBase.h.

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

typedef Superclass::InputSymmetricSecondRankTensorType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::InputSymmetricSecondRankTensorType

Standard tensor type for this class

Definition at line 143 of file itkMatrixOffsetTransformBase.h.

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

typedef CovariantVector<TParametersValueType, InputDiffusionTensor3DType::Dimension> itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::InputTensorEigenVectorType

Definition at line 148 of file itkMatrixOffsetTransformBase.h.

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

typedef Superclass::InputVectorPixelType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::InputVectorPixelType

Definition at line 132 of file itkMatrixOffsetTransformBase.h.

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

typedef Vector<TParametersValueType, itkGetStaticConstMacro(InputSpaceDimension)> itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::InputVectorType

Standard vector type for this class

Definition at line 117 of file itkMatrixOffsetTransformBase.h.

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

typedef vnl_vector_fixed<TParametersValueType, itkGetStaticConstMacro(InputSpaceDimension)> itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::InputVnlVectorType

Standard vnl_vector type for this class

Definition at line 153 of file itkMatrixOffsetTransformBase.h.

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

typedef Matrix<TParametersValueType, itkGetStaticConstMacro(InputSpaceDimension), itkGetStaticConstMacro(OutputSpaceDimension)> itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::InverseMatrixType

Standard inverse matrix type for this class

Definition at line 180 of file itkMatrixOffsetTransformBase.h.

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

typedef InverseTransformBaseType::Pointer itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::InverseTransformBasePointer

Definition at line 194 of file itkMatrixOffsetTransformBase.h.

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

typedef Superclass::InverseTransformBaseType itk::MatrixOffsetTransformBase< 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 193 of file itkMatrixOffsetTransformBase.h.

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

typedef Superclass::JacobianType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::JacobianType

Jacobian Type

Definition at line 107 of file itkMatrixOffsetTransformBase.h.

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

typedef Matrix<TParametersValueType, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)> itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::MatrixType

Standard matrix type for this class

Definition at line 173 of file itkMatrixOffsetTransformBase.h.

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

typedef MatrixType::ValueType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::MatrixValueType

Standard matrix type for this class

Definition at line 174 of file itkMatrixOffsetTransformBase.h.

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

typedef OutputVectorType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::OffsetType

Definition at line 184 of file itkMatrixOffsetTransformBase.h.

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

typedef OffsetType::ValueType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::OffsetValueType

Definition at line 185 of file itkMatrixOffsetTransformBase.h.

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

typedef CovariantVector<TParametersValueType, itkGetStaticConstMacro(OutputSpaceDimension)> itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::OutputCovariantVectorType

Standard covariant vector type for this class

Definition at line 129 of file itkMatrixOffsetTransformBase.h.

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

typedef Superclass::OutputDiffusionTensor3DType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::OutputDiffusionTensor3DType

Definition at line 139 of file itkMatrixOffsetTransformBase.h.

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

typedef Point<TParametersValueType, itkGetStaticConstMacro(OutputSpaceDimension)> itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::OutputPointType

Standard coordinate point type for this class

Definition at line 166 of file itkMatrixOffsetTransformBase.h.

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

typedef OutputPointType::ValueType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::OutputPointValueType

Standard coordinate point type for this class

Definition at line 167 of file itkMatrixOffsetTransformBase.h.

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

typedef Superclass::OutputSymmetricSecondRankTensorType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::OutputSymmetricSecondRankTensorType

Definition at line 145 of file itkMatrixOffsetTransformBase.h.

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

typedef Superclass::OutputVectorPixelType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::OutputVectorPixelType

Definition at line 133 of file itkMatrixOffsetTransformBase.h.

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

typedef Vector<TParametersValueType, itkGetStaticConstMacro(OutputSpaceDimension)> itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::OutputVectorType

Standard vector type for this class

Definition at line 119 of file itkMatrixOffsetTransformBase.h.

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

typedef OutputVectorType::ValueType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::OutputVectorValueType

Standard vector type for this class

Definition at line 120 of file itkMatrixOffsetTransformBase.h.

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

typedef vnl_vector_fixed<TParametersValueType, itkGetStaticConstMacro(OutputSpaceDimension)> itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::OutputVnlVectorType

Standard vnl_vector type for this class

Definition at line 156 of file itkMatrixOffsetTransformBase.h.

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

typedef Superclass::ParametersType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::ParametersType

Definition at line 103 of file itkMatrixOffsetTransformBase.h.

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

typedef Superclass::ParametersValueType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::ParametersValueType

Definition at line 104 of file itkMatrixOffsetTransformBase.h.

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

typedef SmartPointer<Self> itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::Pointer

Definition at line 84 of file itkMatrixOffsetTransformBase.h.

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

typedef Superclass::ScalarType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::ScalarType

Standard scalar type for this class

Definition at line 113 of file itkMatrixOffsetTransformBase.h.

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

typedef MatrixOffsetTransformBase itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::Self

Standard typedefs

Definition at line 79 of file itkMatrixOffsetTransformBase.h.

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

typedef Transform<TParametersValueType, NInputDimensions, NOutputDimensions> itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::Superclass

Definition at line 82 of file itkMatrixOffsetTransformBase.h.

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

typedef Superclass::TransformCategoryType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::TransformCategoryType

Transform category type.

Definition at line 110 of file itkMatrixOffsetTransformBase.h.

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

typedef OutputVectorType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::TranslationType

Definition at line 187 of file itkMatrixOffsetTransformBase.h.

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

typedef TranslationType::ValueType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::TranslationValueType

Definition at line 189 of file itkMatrixOffsetTransformBase.h.

Constructor & Destructor Documentation

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

itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::MatrixOffsetTransformBase	(	const MatrixType &	matrix,
		const OutputVectorType &	offset
	)

protected

Construct an MatrixOffsetTransformBase object

This method constructs a new MatrixOffsetTransformBase object and
initializes the matrix and offset parts of the transformation
to values specified by the caller.  If the arguments are
omitted, then the MatrixOffsetTransformBase is initialized to an identity
transformation in the appropriate number of dimensions.

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

itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::MatrixOffsetTransformBase ( unsigned int paramDims )

protected

Construct an MatrixOffsetTransformBase object

This method constructs a new MatrixOffsetTransformBase object and
initializes the matrix and offset parts of the transformation
to values specified by the caller.  If the arguments are
omitted, then the MatrixOffsetTransformBase is initialized to an identity
transformation in the appropriate number of dimensions.

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

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

protected

Construct an MatrixOffsetTransformBase object

This method constructs a new MatrixOffsetTransformBase object and
initializes the matrix and offset parts of the transformation
to values specified by the caller.  If the arguments are
omitted, then the MatrixOffsetTransformBase is initialized to an identity
transformation in the appropriate number of dimensions.

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

virtual itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::~MatrixOffsetTransformBase ( )

protectedvirtual

Destroy an MatrixOffsetTransformBase object

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

itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::MatrixOffsetTransformBase ( const Self & other )

private

Member Function Documentation

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

void itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::Compose	(	const Self *	other,
		bool	pre = `0`
	)

Compose with another MatrixOffsetTransformBase

This method composes self with another MatrixOffsetTransformBase of the same dimension, modifying self to be the composition of self and other. If the argument pre is true, then other is precomposed with self; that is, the resulting transformation consists of first applying other to the source, followed by self. If pre is false or omitted, then other is post-composed with self; that is the resulting transformation consists of first applying self to the source, followed by other. This updates the Translation based on current center.

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

virtual void itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::ComputeInverseJacobianWithRespectToPosition	(	const InputPointType &	x,
		JacobianType &	jac
	)		const

overridevirtual

Get the jacobian with respect to position. This simply returns the inverse of the current Matrix. jac will be resized as needed, but it's more efficient if it's already properly sized.

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

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

overridevirtual

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. Get local Jacobian for the given point j will sized properly as needed.

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

virtual void itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::ComputeJacobianWithRespectToPosition	(	const InputPointType &	x,
		JacobianType &	jac
	)		const

overridevirtual

Get the jacobian with respect to position. This simply returns the current Matrix. jac will be resized as needed, but it's more efficient if it's already properly sized.

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

virtual void itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::ComputeMatrix ( )

protectedvirtual

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

virtual void itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::ComputeMatrixParameters ( )

protectedvirtual

Reimplemented in itk::Rigid2DTransform< TParametersValueType >, itk::Similarity2DTransform< TParametersValueType >, itk::ScaleSkewVersor3DTransform< TParametersValueType >, itk::VersorTransform< TParametersValueType >, itk::ScaleVersor3DTransform< TParametersValueType >, itk::Similarity3DTransform< TParametersValueType >, itk::QuaternionRigidTransform< TParametersValueType >, and itk::Euler3DTransform< TParametersValueType >.

Referenced by itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >::SetMatrix().

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

virtual void itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::ComputeOffset ( )

protectedvirtual

Referenced by itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >::SetCenter(), itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >::SetMatrix(), and itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >::SetTranslation().

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

virtual void itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::ComputeTranslation ( )

protectedvirtual

Referenced by itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >::SetOffset().

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

virtual::itk::LightObject::Pointer itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::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 = double, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

const InputPointType& itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::GetCenter ( ) const

inline

Get center of rotation of the MatrixOffsetTransformBase

This method returns the point used as the fixed center of rotation for the MatrixOffsetTransformBase. To define an affine transform, you must set the matrix, center, and translation OR the matrix and offset

Definition at line 300 of file itkMatrixOffsetTransformBase.h.

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

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

overridevirtual

Get the Fixed Parameters.

Reimplemented from itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >.

Reimplemented in itk::CenteredSimilarity2DTransform< TParametersValueType >, and itk::CenteredRigid2DTransform< TParametersValueType >.

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

bool itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::GetInverse ( Self * inverse ) const

Create inverse of an affine transformation

This populates the parameters an affine transform such that
the transform is the inverse of self. If self is not invertible,
an exception is thrown.
Note that by default the inverese transform is centered at
the origin. If you need to compute the inverse centered at a point, p,

* transform2->SetCenter( p );
* transform1->GetInverse( transform2 );
* 

transform2 will now contain the inverse of transform1 and will with its center set to p. Flipping the two statements will produce an incorrect transform.

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

const InverseMatrixType& itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::GetInverseMatrix ( ) const

protected

Deprecated:: Use GetInverse for public API instead. Method will eventually be made a protected member function

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

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

overridevirtual

Return an inverse of this transform.

Reimplemented from itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >.

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

virtual const MatrixType& itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::GetMatrix ( ) const

inlinevirtual

Get matrix of an MatrixOffsetTransformBase

This method returns the value of the matrix of the MatrixOffsetTransformBase. To define an affine transform, you must set the matrix, center, and translation OR the matrix and offset

Definition at line 235 of file itkMatrixOffsetTransformBase.h.

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

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

virtual

Run-time type information (and related methods).

Reimplemented from itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >.

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

const OutputVectorType& itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::GetOffset ( ) const

inline

Get offset of an MatrixOffsetTransformBase

This method returns the offset value of the MatrixOffsetTransformBase. To define an affine transform, you must set the matrix, center, and translation OR the matrix and offset

Definition at line 260 of file itkMatrixOffsetTransformBase.h.

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

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

overridevirtual

Get the Transformation Parameters.

Reimplemented from itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >.

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

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

inlineoverridevirtual

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

Reimplemented from itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >.

Definition at line 204 of file itkMatrixOffsetTransformBase.h.

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

const OutputVectorType& itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::GetTranslation ( ) const

inline

Get translation component of the MatrixOffsetTransformBase

This method returns the translation used after rotation about the center point. To define an affine transform, you must set the matrix, center, and translation OR the matrix and offset

Definition at line 324 of file itkMatrixOffsetTransformBase.h.

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

const InverseMatrixType& itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::GetVarInverseMatrix ( ) const

inlineprotected

Definition at line 477 of file itkMatrixOffsetTransformBase.h.

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

bool itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::InverseMatrixIsOld ( ) const

inlineprotected

Definition at line 485 of file itkMatrixOffsetTransformBase.h.

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

virtual bool itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::IsLinear ( ) 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, NInputDimensions, NOutputDimensions >.

Definition at line 442 of file itkMatrixOffsetTransformBase.h.

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

static Pointer itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::New ( )

static

New macro for creation of through a Smart Pointer

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

const Self& itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::operator= ( const Self & )

private

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

virtual void itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::PrintSelf	(	std::ostream &	s,
		Indent	indent
	)		const

overrideprotectedvirtual

Print contents of an MatrixOffsetTransformBase

Reimplemented from itk::Object.

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

void itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::SetCenter ( const InputPointType & center )

inline

Set center of rotation of an MatrixOffsetTransformBase

This method sets the center of rotation of an MatrixOffsetTransformBase
to a fixed point - for most transforms derived from this class,
this point is not a "parameter" of the transform - the exception is that
"centered" transforms have center as a parameter during optimization.

This method updates offset wrt to current translation and matrix.
That is, changing the center changes the transform!

WARNING: When using the Center, we strongly recommend only changing the
matrix and translation to define a transform.   Changing a transform's
center, changes the mapping between spaces - specifically, translation is
not changed with respect to that new center, and so the offset is updated
to * maintain the consistency with translation.   If a center is not used,
or is set before the matrix and the offset, then it is safe to change the
offset directly.
       As a rule of thumb, if you wish to set the center explicitly, set
before Offset computations are done.

To define an affine transform, you must set the matrix,
center, and translation OR the matrix and offset

Definition at line 287 of file itkMatrixOffsetTransformBase.h.

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

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

overridevirtual

Set the fixed parameters and update internal transformation.

Implements itk::Transform< TParametersValueType, NInputDimensions, NOutputDimensions >.

Reimplemented in itk::CenteredSimilarity2DTransform< TParametersValueType >, and itk::CenteredRigid2DTransform< TParametersValueType >.

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

virtual void itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::SetIdentity ( )

virtual

Set the transformation to an Identity

This sets the matrix to identity and the Offset to null.

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

virtual void itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::SetMatrix ( const MatrixType & matrix )

inlinevirtual

Set matrix of an MatrixOffsetTransformBase

This method sets the matrix of an MatrixOffsetTransformBase to a
value specified by the user.

This updates the Offset wrt to current translation
and center.  See the warning regarding offset-versus-translation
in the documentation for SetCenter.

To define an affine transform, you must set the matrix,
center, and translation OR the matrix and offset

Definition at line 220 of file itkMatrixOffsetTransformBase.h.

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

void itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::SetOffset ( const OutputVectorType & offset )

inline

Set offset (origin) of an MatrixOffset TransformBase.

This method sets the offset of an MatrixOffsetTransformBase to a
value specified by the user.
This updates Translation wrt current center.  See the warning regarding
offset-versus-translation in the documentation for SetCenter.
To define an affine transform, you must set the matrix,
center, and translation OR the matrix and offset

Definition at line 248 of file itkMatrixOffsetTransformBase.h.

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

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

override

Set the transformation from a container of parameters. The first (NOutputDimension x NInputDimension) parameters define the matrix and the last NOutputDimension parameters the translation. Offset is updated based on current center.

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

void itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::SetTranslation ( const OutputVectorType & translation )

inline

Set translation of an MatrixOffsetTransformBase

This method sets the translation of an MatrixOffsetTransformBase.
This updates Offset to reflect current translation.
To define an affine transform, you must set the matrix,
center, and translation OR the matrix and offset

Definition at line 311 of file itkMatrixOffsetTransformBase.h.

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

void itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::SetVarCenter ( const InputPointType & center )

inlineprotected

Definition at line 520 of file itkMatrixOffsetTransformBase.h.

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

void itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::SetVarInverseMatrix ( const InverseMatrixType & matrix ) const

inlineprotected

Definition at line 481 of file itkMatrixOffsetTransformBase.h.

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

void itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::SetVarMatrix ( const MatrixType & matrix )

inlineprotected

Definition at line 501 of file itkMatrixOffsetTransformBase.h.

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

void itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::SetVarOffset ( const OutputVectorType & offset )

inlineprotected

Definition at line 515 of file itkMatrixOffsetTransformBase.h.

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

void itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::SetVarTranslation ( const OutputVectorType & translation )

inlineprotected

Definition at line 508 of file itkMatrixOffsetTransformBase.h.

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

OutputCovariantVectorType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::TransformCovariantVector ( const InputCovariantVectorType & vector ) const

override

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

OutputVectorPixelType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::TransformCovariantVector ( const InputVectorPixelType & vector ) const

override

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

OutputDiffusionTensor3DType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::TransformDiffusionTensor3D ( const InputDiffusionTensor3DType & tensor ) const

override

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

OutputVectorPixelType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::TransformDiffusionTensor3D ( const InputVectorPixelType & tensor ) const

override

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

OutputPointType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::TransformPoint ( const InputPointType & point ) const

override

Transform by an affine transformation

This method applies the affine transform given by self to a given point or vector, returning the transformed point or vector. The TransformPoint method transforms its argument as an affine point, whereas the TransformVector method transforms its argument as a vector.

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

OutputSymmetricSecondRankTensorType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::TransformSymmetricSecondRankTensor ( const InputSymmetricSecondRankTensorType & tensor ) const

override

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

OutputVectorPixelType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::TransformSymmetricSecondRankTensor ( const InputVectorPixelType & tensor ) const

override

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

OutputVectorType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::TransformVector ( const InputVectorType & vector ) const

override

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

OutputVnlVectorType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::TransformVector ( const InputVnlVectorType & vector ) const

override

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

OutputVectorPixelType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::TransformVector ( const InputVectorPixelType & vector ) const

override

Member Data Documentation

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

const unsigned int itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::InputSpaceDimension = NInputDimensions

static

Dimension of the domain space.

Definition at line 94 of file itkMatrixOffsetTransformBase.h.

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

InputPointType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::m_Center

private

Definition at line 535 of file itkMatrixOffsetTransformBase.h.

Referenced by itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >::GetCenter(), itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >::SetCenter(), and itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >::SetVarCenter().

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

InverseMatrixType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::m_InverseMatrix

mutableprivate

Definition at line 532 of file itkMatrixOffsetTransformBase.h.

Referenced by itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >::GetVarInverseMatrix(), and itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >::SetVarInverseMatrix().

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

TimeStamp itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::m_InverseMatrixMTime

mutableprivate

Definition at line 540 of file itkMatrixOffsetTransformBase.h.

Referenced by itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >::InverseMatrixIsOld(), and itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >::SetVarInverseMatrix().

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

MatrixType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::m_Matrix

private

Definition at line 530 of file itkMatrixOffsetTransformBase.h.

Referenced by itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >::GetMatrix(), itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >::SetMatrix(), and itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >::SetVarMatrix().

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

TimeStamp itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::m_MatrixMTime

private

To avoid recomputation of the inverse if not needed

Definition at line 539 of file itkMatrixOffsetTransformBase.h.

Referenced by itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >::InverseMatrixIsOld(), itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >::SetMatrix(), and itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >::SetVarMatrix().

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

OutputVectorType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::m_Offset

private

Definition at line 531 of file itkMatrixOffsetTransformBase.h.

Referenced by itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >::GetOffset(), itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >::SetOffset(), and itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >::SetVarOffset().

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

bool itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::m_Singular

mutableprivate

Definition at line 533 of file itkMatrixOffsetTransformBase.h.

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

OutputVectorType itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::m_Translation

private

Definition at line 536 of file itkMatrixOffsetTransformBase.h.

Referenced by itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >::GetTranslation(), itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >::SetTranslation(), and itk::MatrixOffsetTransformBase< TParametersValueType, NDimensions, NDimensions >::SetVarTranslation().

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

const unsigned int itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::OutputSpaceDimension = NOutputDimensions

static

Dimension of the domain space.

Definition at line 95 of file itkMatrixOffsetTransformBase.h.

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

const unsigned int itk::MatrixOffsetTransformBase< TParametersValueType, NInputDimensions, NOutputDimensions >::ParametersDimension = NOutputDimensions * ( NInputDimensions + 1 )

static

Dimension of the domain space.

Definition at line 97 of file itkMatrixOffsetTransformBase.h.

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

itkMatrixOffsetTransformBase.h

Detailed Description

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

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