#include <itkRigid2DTransform.h>

Detailed Description

template<typename TParametersValueType = double>
class itk::Rigid2DTransform< TParametersValueType >

Rigid2DTransform of a vector space (e.g. space coordinates)

This transform applies a rigid transformation in 2D space. The transform is specified as a rotation around a arbitrary center and is followed by a translation.

The parameters for this transform can be set either using individual Set methods or in serialized form using SetParameters() and SetFixedParameters().

The serialization of the optimizable parameters is an array of 3 elements ordered as follows: p[0] = angle p[1] = x component of the translation p[2] = y component of the translation

The serialization of the fixed parameters is an array of 2 elements ordered as follows: p[0] = x coordinate of the center p[1] = y coordinate of the center

Access methods for the center, translation and underlying matrix offset vectors are documented in the superclass MatrixOffsetTransformBase.

See also: Transform; MatrixOffsetTransformBase

Definition at line 56 of file itkRigid2DTransform.h.

Inheritance diagram for itk::Rigid2DTransform< TParametersValueType >:

Collaboration diagram for itk::Rigid2DTransform< TParametersValueType >:

Public Types
using	ConstPointer = SmartPointer< const Self >

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

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

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

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

using	InverseJacobianPositionType = vnl_matrix_fixed< ParametersValueType, VInputDimension, VOutputDimension >

using	InverseTransformBasePointer = typename InverseTransformBaseType::Pointer

using	InverseTransformBaseType = typename Superclass::InverseTransformBaseType

using	JacobianPositionType = vnl_matrix_fixed< ParametersValueType, VOutputDimension, VInputDimension >

using	JacobianType = Array2D< ParametersValueType >

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

using	MatrixValueType = typename MatrixType::ValueType

using	OffsetType = OutputVectorType

using	OffsetValueType = typename OffsetType::ValueType

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

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

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

using	OutputVectorValueType = typename OutputVectorType::ValueType

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

using	Pointer = SmartPointer< Self >

using	ScalarType = ParametersValueType

using	Self = Rigid2DTransform

using	Superclass = MatrixOffsetTransformBase< TParametersValueType, 2, 2 >

Public Types inherited from itk::MatrixOffsetTransformBase< double, 2, 2 >
using	CenterType = InputPointType

using	ConstPointer = SmartPointer< const Self >

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

using	InputDiffusionTensor3DType = DiffusionTensor3D< double >

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

using	InputPointValueType = typename InputPointType::ValueType

using	InputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< double, VInputDimension >

using	InputTensorEigenVectorType = CovariantVector< double, InputDiffusionTensor3DType::Dimension >

using	InputVectorPixelType = VariableLengthVector< double >

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

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

using	InverseJacobianPositionType = vnl_matrix_fixed< ParametersValueType, VInputDimension, VOutputDimension >

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

using	InverseTransformBasePointer = typename InverseTransformBaseType::Pointer

using	InverseTransformBaseType = typename Superclass::InverseTransformBaseType

using	InverseTransformType = MatrixOffsetTransformBase< double, VOutputDimension, VInputDimension >

using	JacobianPositionType = vnl_matrix_fixed< ParametersValueType, VOutputDimension, VInputDimension >

using	JacobianType = Array2D< ParametersValueType >

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

using	MatrixValueType = typename MatrixType::ValueType

using	OffsetType = OutputVectorType

using	OffsetValueType = typename OffsetType::ValueType

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

using	OutputDiffusionTensor3DType = DiffusionTensor3D< double >

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

using	OutputPointValueType = typename OutputPointType::ValueType

using	OutputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< double, VOutputDimension >

using	OutputVectorPixelType = VariableLengthVector< double >

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

using	OutputVectorValueType = typename OutputVectorType::ValueType

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

using	Pointer = SmartPointer< Self >

using	ScalarType = ParametersValueType

using	Self = MatrixOffsetTransformBase

using	Superclass = Transform< double, VInputDimension, VOutputDimension >

using	TranslationType = OutputVectorType

using	TranslationValueType = typename TranslationType::ValueType

Public Types inherited from itk::Transform< double, VInputDimension, VOutputDimension >
using	ConstPointer = SmartPointer< const Self >

using	DerivativeType = Array< ParametersValueType >

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

using	FixedParametersType = OptimizerParameters< FixedParametersValueType >

using	FixedParametersValueType = double

using	InputCovariantVectorType = CovariantVector< double, VInputDimension >

using	InputDiffusionTensor3DType = DiffusionTensor3D< double >

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

using	InputPointType = Point< double, VInputDimension >

using	InputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< double, VInputDimension >

using	InputVectorPixelType = VariableLengthVector< double >

using	InputVectorType = Vector< double, VInputDimension >

using	InputVnlVectorType = vnl_vector_fixed< double, VInputDimension >

using	InverseJacobianPositionType = vnl_matrix_fixed< ParametersValueType, VInputDimension, VOutputDimension >

using	InverseTransformBasePointer = typename InverseTransformBaseType::Pointer

using	InverseTransformBaseType = Transform< double, VOutputDimension, VInputDimension >

using	JacobianPositionType = vnl_matrix_fixed< ParametersValueType, VOutputDimension, VInputDimension >

using	JacobianType = Array2D< ParametersValueType >

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

using	NumberOfParametersType = IdentifierType

using	OutputCovariantVectorType = CovariantVector< double, VOutputDimension >

using	OutputDiffusionTensor3DType = DiffusionTensor3D< double >

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

using	OutputPointType = Point< double, VOutputDimension >

using	OutputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< double, VOutputDimension >

using	OutputVectorPixelType = VariableLengthVector< double >

using	OutputVectorType = Vector< double, VOutputDimension >

using	OutputVnlVectorType = vnl_vector_fixed< double, VOutputDimension >

using	ParametersType = OptimizerParameters< ParametersValueType >

using	ParametersValueType = double

using	Pointer = SmartPointer< Self >

using	ScalarType = ParametersValueType

using	Self = Transform

using	Superclass = TransformBaseTemplate< double >

using	TransformCategoryEnum = TransformBaseTemplateEnums::TransformCategory

Public Types inherited from TransformBaseTemplate< double >
using	ConstPointer = SmartPointer< const Self >

using	FixedParametersType = OptimizerParameters< FixedParametersValueType >

using	FixedParametersValueType = double

using	NumberOfParametersType = IdentifierType

using	ParametersType = OptimizerParameters< ParametersValueType >

using	ParametersValueType = double

using	Pointer = SmartPointer< Self >

using	Self = TransformBaseTemplate

using	Superclass = Object

using	TransformCategoryEnum = TransformBaseTemplateEnums::TransformCategory

using	TransformCategoryType = TransformCategoryEnum

Public Member Functions
InputCovariantVectorType	BackTransform (const OutputCovariantVectorType &vect) const

InputPointType	BackTransform (const OutputPointType &point) const

InputVectorType	BackTransform (const OutputVectorType &vect) const

InputVnlVectorType	BackTransform (const OutputVnlVectorType &vect) const

void	CloneInverseTo (Pointer &result) const

void	CloneTo (Pointer &result) const

void	ComputeJacobianWithRespectToParameters (const InputPointType &p, JacobianType &j) const override

virtual const TParametersValueType &	GetAngle () const

bool	GetInverse (Self *inverse) const

InverseTransformBasePointer	GetInverseTransform () const override

const char *	GetNameOfClass () const override

const ParametersType &	GetParameters () const override

void	SetAngle (TParametersValueType angle)

void	SetAngleInDegrees (TParametersValueType angle)

void	SetIdentity () override

void	SetMatrix (const MatrixType &matrix) override

virtual void	SetMatrix (const MatrixType &matrix, const TParametersValueType tolerance)

void	SetParameters (const ParametersType &parameters) override

void	Translate (const OffsetType &offset, bool pre=false)


void	SetRotation (TParametersValueType angle)

virtual const TParametersValueType &	GetRotation () const

Public Member Functions inherited from itk::MatrixOffsetTransformBase< double, 2, 2 >
void	Compose (const Self *other, bool pre=false)

void	ComputeInverseJacobianWithRespectToPosition (const InputPointType &x, InverseJacobianPositionType &jac) const override

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

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

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

const InputPointType &	GetCenter () const

const FixedParametersType &	GetFixedParameters () const override

InverseTransformBasePointer	GetInverseTransform () const override

virtual const MatrixType &	GetMatrix () const

const char *	GetNameOfClass () const override

const OutputVectorType &	GetOffset () const

const ParametersType &	GetParameters () const override

TransformCategoryEnum	GetTransformCategory () const override

const OutputVectorType &	GetTranslation () const

bool	IsLinear () const override

void	SetFixedParameters (const FixedParametersType &) override

virtual void	SetIdentity ()

void	SetParameters (const ParametersType &parameters) override

virtual OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const

OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &vec) const override

virtual OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &vector, const InputPointType &point) const

virtual OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &) const

OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &vect) const override

virtual OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &vector, const InputPointType &point) const

virtual OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &) const

virtual OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &inputTensor, const InputPointType &point) const

OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &tensor) const override

virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &) const

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

OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &tensor) const override

OutputPointType	TransformPoint (const InputPointType &point) const override

virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &) const

OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &inputTensor) const override

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

virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &) const

OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &inputTensor) const override

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

virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &) const

OutputVectorPixelType	TransformVector (const InputVectorPixelType &vect) const override

virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &vector, const InputPointType &point) const

virtual OutputVectorType	TransformVector (const InputVectorType &) const

OutputVectorType	TransformVector (const InputVectorType &vect) const override

virtual OutputVectorType	TransformVector (const InputVectorType &vector, const InputPointType &point) const

virtual OutputVnlVectorType	TransformVector (const InputVnlVectorType &) const

OutputVnlVectorType	TransformVector (const InputVnlVectorType &vect) const override

virtual OutputVnlVectorType	TransformVector (const InputVnlVectorType &vector, const InputPointType &point) const

virtual void	SetMatrix (const MatrixType &matrix)

void	SetOffset (const OutputVectorType &offset)

void	SetCenter (const InputPointType &center)

void	SetTranslation (const OutputVectorType &translation)

bool	GetInverse (InverseTransformType *inverse) const

Public Member Functions inherited from itk::Transform< double, VInputDimension, VOutputDimension >
virtual void	ComputeJacobianWithRespectToParametersCachedTemporaries (const InputPointType &p, JacobianType &jacobian, JacobianType &) const

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

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

const FixedParametersType &	GetFixedParameters () const override

unsigned int	GetInputSpaceDimension () const override

bool	GetInverse (Self *) const

virtual InverseTransformBasePointer	GetInverseTransform () const

const char *	GetNameOfClass () const override

virtual NumberOfParametersType	GetNumberOfFixedParameters () const

virtual NumberOfParametersType	GetNumberOfLocalParameters () const

NumberOfParametersType	GetNumberOfParameters () const override

unsigned int	GetOutputSpaceDimension () const override

const ParametersType &	GetParameters () const override

TransformCategoryEnum	GetTransformCategory () const override

std::string	GetTransformTypeAsString () const override

virtual bool	IsLinear () const

	itkCloneMacro (Self)

void	SetFixedParameters (const FixedParametersType &) override=0

void	SetParameters (const ParametersType &) override=0

void	SetParametersByValue (const ParametersType &p) override

virtual OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const

virtual OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &vector, const InputPointType &point) const

virtual OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &) const

virtual OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &vector, const InputPointType &point) const

virtual OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &) const

virtual OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &inputTensor, const InputPointType &point) const

virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &) const

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

virtual OutputPointType	TransformPoint (const InputPointType &) const=0

virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &) const

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

virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &) const

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

virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &) const

virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &vector, const InputPointType &point) const

virtual OutputVectorType	TransformVector (const InputVectorType &) const

virtual OutputVectorType	TransformVector (const InputVectorType &vector, const InputPointType &point) const

virtual OutputVnlVectorType	TransformVector (const InputVnlVectorType &) const

virtual OutputVnlVectorType	TransformVector (const InputVnlVectorType &vector, const InputPointType &point) const

virtual void	UpdateTransformParameters (const DerivativeType &update, ParametersValueType factor=1.0)

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

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

template< typename TImage > std std::enable_if_t< TImage::ImageDimension==VInputDimension &&TImage::ImageDimension==VOutputDimension, void >	ApplyToImageMetadata (SmartPointer< TImage > image) const

Public Member Functions inherited from TransformBaseTemplate< double >
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 const FixedParametersType &	GetFixedParameters () const=0

virtual unsigned int	GetInputSpaceDimension () const=0

virtual NumberOfParametersType	GetNumberOfParameters () const=0

virtual unsigned int	GetOutputSpaceDimension () const=0

virtual const ParametersType &	GetParameters () const=0

virtual TransformCategoryEnum	GetTransformCategory () const=0

virtual std::string	GetTransformTypeAsString () const=0

	ITK_DISALLOW_COPY_AND_MOVE (TransformBaseTemplate)

	itkGetConstReferenceMacro (InputSpaceName, std::string)

	itkGetConstReferenceMacro (OutputSpaceName, std::string)

	itkOverrideGetNameOfClassMacro (TransformBaseTemplate)

	itkSetMacro (InputSpaceName, std::string)

	itkSetMacro (OutputSpaceName, std::string)

virtual void	SetFixedParameters (const FixedParametersType &)=0

virtual void	SetParameters (const ParametersType &)=0

virtual void	SetParametersByValue (const ParametersType &p)=0

Static Public Member Functions
static Pointer	New ()

Static Public Member Functions inherited from itk::MatrixOffsetTransformBase< double, 2, 2 >
static Pointer	New ()

Static Public Attributes
static constexpr unsigned int	InputSpaceDimension = 2

static constexpr unsigned int	OutputSpaceDimension = 2

static constexpr unsigned int	ParametersDimension = 3

Static Public Attributes inherited from itk::MatrixOffsetTransformBase< double, 2, 2 >
static constexpr unsigned int	InputSpaceDimension

static constexpr unsigned int	OutputSpaceDimension

static constexpr unsigned int	ParametersDimension

Static Public Attributes inherited from itk::Transform< double, VInputDimension, VOutputDimension >
static constexpr unsigned int	InputSpaceDimension

static constexpr unsigned int	OutputSpaceDimension

Static Public Attributes inherited from TransformBaseTemplate< double >
static constexpr TransformCategoryEnum	BSpline

static constexpr TransformCategoryEnum	DisplacementField

static constexpr TransformCategoryEnum	Linear

static constexpr TransformCategoryEnum	Spline

static constexpr TransformCategoryEnum	UnknownTransformCategory

static constexpr TransformCategoryEnum	VelocityField

Protected Member Functions
void	ComputeMatrix () override

void	ComputeMatrixParameters () override

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

	Rigid2DTransform ()

	Rigid2DTransform (unsigned int outputSpaceDimension, unsigned int parametersDimension)

	Rigid2DTransform (unsigned int parametersDimension)

void	SetVarAngle (TParametersValueType angle)

	~Rigid2DTransform () override=default

Protected Member Functions inherited from itk::MatrixOffsetTransformBase< double, 2, 2 >
virtual void	ComputeMatrix ()

virtual void	ComputeMatrixParameters ()

virtual void	ComputeOffset ()

virtual void	ComputeTranslation ()

const InverseMatrixType &	GetInverseMatrix () const

virtual bool	GetSingular () const

const InverseMatrixType &	GetVarInverseMatrix () const

bool	InverseMatrixIsOld () const

void	PrintSelf (std::ostream &os, 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)

	~MatrixOffsetTransformBase () override=default

	MatrixOffsetTransformBase (unsigned int paramDims=ParametersDimension)

Protected Member Functions inherited from itk::Transform< double, VInputDimension, VOutputDimension >
LightObject::Pointer	InternalClone () const override

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

	Transform ()=default

	Transform (NumberOfParametersType numberOfParameters)

	~Transform () override=default

Protected Member Functions inherited from TransformBaseTemplate< double >
	TransformBaseTemplate ()=default

	~TransformBaseTemplate () override=default

Private Attributes
TParametersValueType	m_Angle {}

Additional Inherited Members
Public Attributes inherited from itk::Transform< double, VInputDimension, VOutputDimension >
InverseJacobianPositionType &jacobian	const

Static Protected Member Functions inherited from itk::Transform< double, VInputDimension, VOutputDimension >
static InverseTransformBasePointer	InvertTransform (const TTransform &transform)

Protected Attributes inherited from itk::Transform< double, VInputDimension, VOutputDimension >
FixedParametersType	m_FixedParameters

ParametersType	m_Parameters

Member Typedef Documentation

◆ ConstPointer

template<typename TParametersValueType = double>

using itk::Rigid2DTransform< TParametersValueType >::ConstPointer = SmartPointer<const Self>

Definition at line 65 of file itkRigid2DTransform.h.

◆ InputCovariantVectorType

template<typename TParametersValueType = double>

using itk::MatrixOffsetTransformBase< TParametersValueType, VInputDimension, VOutputDimension >::InputCovariantVectorType = CovariantVector<TParametersValueType, Self::InputSpaceDimension>

Standard covariant vector type for this class

Definition at line 153 of file itkMatrixOffsetTransformBase.h.

◆ InputPointType

template<typename TParametersValueType = double>

using itk::MatrixOffsetTransformBase< TParametersValueType, VInputDimension, VOutputDimension >::InputPointType = Point<TParametersValueType, Self::InputSpaceDimension>

Standard coordinate point type for this class

Definition at line 174 of file itkMatrixOffsetTransformBase.h.

◆ InputVectorType

template<typename TParametersValueType = double>

using itk::MatrixOffsetTransformBase< TParametersValueType, VInputDimension, VOutputDimension >::InputVectorType = Vector<TParametersValueType, Self::InputSpaceDimension>

Standard vector type for this class

Definition at line 148 of file itkMatrixOffsetTransformBase.h.

◆ InputVnlVectorType

template<typename TParametersValueType = double>

using itk::MatrixOffsetTransformBase< TParametersValueType, VInputDimension, VOutputDimension >::InputVnlVectorType = vnl_vector_fixed<TParametersValueType, Self::InputSpaceDimension>

Standard vnl_vector type for this class

Definition at line 170 of file itkMatrixOffsetTransformBase.h.

◆ InverseJacobianPositionType

template<typename TParametersValueType = double>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::InverseJacobianPositionType = vnl_matrix_fixed<ParametersValueType, VInputDimension, VOutputDimension>

Definition at line 139 of file itkTransform.h.

◆ InverseTransformBasePointer

template<typename TParametersValueType = double>

using itk::Rigid2DTransform< TParametersValueType >::InverseTransformBasePointer = typename InverseTransformBaseType::Pointer

Definition at line 120 of file itkRigid2DTransform.h.

◆ InverseTransformBaseType

template<typename TParametersValueType = double>

using itk::Rigid2DTransform< TParametersValueType >::InverseTransformBaseType = typename Superclass::InverseTransformBaseType

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

Definition at line 119 of file itkRigid2DTransform.h.

◆ JacobianPositionType

template<typename TParametersValueType = double>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::JacobianPositionType = vnl_matrix_fixed<ParametersValueType, VOutputDimension, VInputDimension>

Definition at line 138 of file itkTransform.h.

◆ JacobianType

template<typename TParametersValueType = double>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::JacobianType = Array2D<ParametersValueType>

Type of the Jacobian matrix.

Definition at line 137 of file itkTransform.h.

◆ MatrixType

template<typename TParametersValueType = double>

using itk::MatrixOffsetTransformBase< TParametersValueType, VInputDimension, VOutputDimension >::MatrixType = Matrix<TParametersValueType, Self::OutputSpaceDimension, Self::InputSpaceDimension>

Standard matrix type for this class

Definition at line 180 of file itkMatrixOffsetTransformBase.h.

◆ MatrixValueType

template<typename TParametersValueType = double>

using itk::MatrixOffsetTransformBase< TParametersValueType, VInputDimension, VOutputDimension >::MatrixValueType = typename MatrixType::ValueType

Definition at line 181 of file itkMatrixOffsetTransformBase.h.

◆ OffsetType

template<typename TParametersValueType = double>

using itk::MatrixOffsetTransformBase< TParametersValueType, VInputDimension, VOutputDimension >::OffsetType = OutputVectorType

Definition at line 188 of file itkMatrixOffsetTransformBase.h.

◆ OffsetValueType

template<typename TParametersValueType = double>

using itk::MatrixOffsetTransformBase< TParametersValueType, VInputDimension, VOutputDimension >::OffsetValueType = typename OffsetType::ValueType

Definition at line 189 of file itkMatrixOffsetTransformBase.h.

◆ OutputCovariantVectorType

template<typename TParametersValueType = double>

using itk::MatrixOffsetTransformBase< TParametersValueType, VInputDimension, VOutputDimension >::OutputCovariantVectorType = CovariantVector<TParametersValueType, Self::OutputSpaceDimension>

Definition at line 154 of file itkMatrixOffsetTransformBase.h.

◆ OutputPointType

template<typename TParametersValueType = double>

using itk::MatrixOffsetTransformBase< TParametersValueType, VInputDimension, VOutputDimension >::OutputPointType = Point<TParametersValueType, Self::OutputSpaceDimension>

Definition at line 176 of file itkMatrixOffsetTransformBase.h.

◆ OutputVectorType

template<typename TParametersValueType = double>

using itk::MatrixOffsetTransformBase< TParametersValueType, VInputDimension, VOutputDimension >::OutputVectorType = Vector<TParametersValueType, Self::OutputSpaceDimension>

Definition at line 149 of file itkMatrixOffsetTransformBase.h.

◆ OutputVectorValueType

template<typename TParametersValueType = double>

using itk::MatrixOffsetTransformBase< TParametersValueType, VInputDimension, VOutputDimension >::OutputVectorValueType = typename OutputVectorType::ValueType

Definition at line 150 of file itkMatrixOffsetTransformBase.h.

◆ OutputVnlVectorType

template<typename TParametersValueType = double>

using itk::MatrixOffsetTransformBase< TParametersValueType, VInputDimension, VOutputDimension >::OutputVnlVectorType = vnl_vector_fixed<TParametersValueType, Self::OutputSpaceDimension>

Definition at line 171 of file itkMatrixOffsetTransformBase.h.

◆ Pointer

template<typename TParametersValueType = double>

using itk::Rigid2DTransform< TParametersValueType >::Pointer = SmartPointer<Self>

Definition at line 64 of file itkRigid2DTransform.h.

◆ ScalarType

template<typename TParametersValueType = double>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::ScalarType = ParametersValueType

Type of the scalar representing coordinate and vector elements.

Definition at line 145 of file itkTransform.h.

◆ Self

template<typename TParametersValueType = double>

using itk::Rigid2DTransform< TParametersValueType >::Self = Rigid2DTransform

Standard class type aliases.

Definition at line 62 of file itkRigid2DTransform.h.

◆ Superclass

template<typename TParametersValueType = double>

using itk::Rigid2DTransform< TParametersValueType >::Superclass = MatrixOffsetTransformBase<TParametersValueType, 2, 2>

Definition at line 63 of file itkRigid2DTransform.h.

Constructor & Destructor Documentation

◆ Rigid2DTransform() [1/3]

template<typename TParametersValueType = double>

itk::Rigid2DTransform< TParametersValueType >::Rigid2DTransform	(	unsigned int	outputSpaceDimension,
		unsigned int	parametersDimension
	)

protected

◆ Rigid2DTransform() [2/3]

template<typename TParametersValueType = double>

itk::Rigid2DTransform< TParametersValueType >::Rigid2DTransform ( unsigned int parametersDimension )

protected

◆ Rigid2DTransform() [3/3]

template<typename TParametersValueType = double>

itk::Rigid2DTransform< TParametersValueType >::Rigid2DTransform ( )

protected

◆ ~Rigid2DTransform()

template<typename TParametersValueType = double>

itk::Rigid2DTransform< TParametersValueType >::~Rigid2DTransform ( )

overrideprotecteddefault

Member Function Documentation

◆ BackTransform() [1/4]

template<typename TParametersValueType >

auto itk::Rigid2DTransform< TParametersValueType >::BackTransform ( const OutputCovariantVectorType & vect ) const

inline

Definition at line 331 of file itkRigid2DTransform.h.

◆ BackTransform() [2/4]

template<typename TParametersValueType >

auto itk::Rigid2DTransform< TParametersValueType >::BackTransform ( const OutputPointType & point ) const

inline

Back transform by an rigid transformation.

The BackTransform() methods are slated to be removed from ITK. Instead, please use GetInverse() or CloneInverseTo() to generate an inverse transform and then perform the transform using that inverted transform.

Definition at line 301 of file itkRigid2DTransform.h.

References itk::point().

◆ BackTransform() [3/4]

template<typename TParametersValueType >

auto itk::Rigid2DTransform< TParametersValueType >::BackTransform ( const OutputVectorType & vect ) const

inline

Definition at line 311 of file itkRigid2DTransform.h.

◆ BackTransform() [4/4]

template<typename TParametersValueType >

auto itk::Rigid2DTransform< TParametersValueType >::BackTransform ( const OutputVnlVectorType & vect ) const

inline

Definition at line 321 of file itkRigid2DTransform.h.

◆ CloneInverseTo()

template<typename TParametersValueType = double>

void itk::Rigid2DTransform< TParametersValueType >::CloneInverseTo ( Pointer & result ) const

This method creates and returns a new Rigid2DTransform object which is the inverse of self.

◆ CloneTo()

template<typename TParametersValueType = double>

void itk::Rigid2DTransform< TParametersValueType >::CloneTo ( Pointer & result ) const

This method creates and returns a new Rigid2DTransform object which has the same parameters.

◆ ComputeJacobianWithRespectToParameters()

template<typename TParametersValueType = double>

void itk::Rigid2DTransform< TParametersValueType >::ComputeJacobianWithRespectToParameters	(	const InputPointType &	p,
		JacobianType &	j
	)		const

override

Compute the Jacobian Matrix of the transformation at one point, allowing for thread-safety.

◆ ComputeMatrix()

template<typename TParametersValueType = double>

void itk::Rigid2DTransform< TParametersValueType >::ComputeMatrix ( )

overrideprotectedvirtual

Compute the matrix from angle. This is used in Set methods to update the underlying matrix whenever a transform parameter is changed.

Reimplemented from itk::MatrixOffsetTransformBase< double, 2, 2 >.

Reimplemented in itk::Similarity2DTransform< double >.

◆ ComputeMatrixParameters()

template<typename TParametersValueType = double>

void itk::Rigid2DTransform< TParametersValueType >::ComputeMatrixParameters ( )

overrideprotectedvirtual

Compute the angle from the matrix. This is used to compute transform parameters from a given matrix. This is used in MatrixOffsetTransformBase::Compose() and MatrixOffsetTransformBase::GetInverse().

Reimplemented from itk::MatrixOffsetTransformBase< double, 2, 2 >.

Reimplemented in itk::Similarity2DTransform< double >.

◆ GetAngle()

template<typename TParametersValueType = double>

virtual const TParametersValueType & itk::Rigid2DTransform< TParametersValueType >::GetAngle ( ) const

virtual

◆ GetInverse()

template<typename TParametersValueType = double>

bool itk::Rigid2DTransform< TParametersValueType >::GetInverse ( Self * inverse ) const

Get an inverse of this transform.

◆ GetInverseTransform()

template<typename TParametersValueType = double>

InverseTransformBasePointer itk::Rigid2DTransform< TParametersValueType >::GetInverseTransform ( ) const

overridevirtual

Return an inverse of this transform.

Reimplemented from itk::Transform< double, VInputDimension, VOutputDimension >.

Reimplemented in itk::Similarity2DTransform< double >.

◆ GetNameOfClass()

template<typename TParametersValueType = double>

const char * itk::Rigid2DTransform< TParametersValueType >::GetNameOfClass ( ) const

override

See also: LightObject::GetNameOfClass()

◆ GetParameters()

template<typename TParametersValueType = double>

const ParametersType & itk::Rigid2DTransform< TParametersValueType >::GetParameters ( ) const

overridevirtual

Get the parameters that uniquely define the transform This is typically used by optimizers. There are 3 parameters. The first one represents the angle or rotation in radians and the last two represents the translation. The center of rotation is fixed.

See also: Transform::GetParameters(); Transform::GetFixedParameters()

Implements TransformBaseTemplate< double >.

Reimplemented in itk::Similarity2DTransform< double >.

◆ GetRotation()

template<typename TParametersValueType = double>

virtual const TParametersValueType & itk::Rigid2DTransform< TParametersValueType >::GetRotation ( ) const

inlinevirtual

Set/Get the angle of rotation in radians. These methods are old and are retained for backward compatibility. Instead, use SetAngle() and GetAngle().

Definition at line 201 of file itkRigid2DTransform.h.

◆ New()

template<typename TParametersValueType = double>

static Pointer itk::Rigid2DTransform< TParametersValueType >::New ( )

static

New macro for creation of through a Smart Pointer

◆ PrintSelf()

template<typename TParametersValueType = double>

void itk::Rigid2DTransform< TParametersValueType >::PrintSelf	(	std::ostream &	os,
		Indent	indent
	)		const

overrideprotected

Print contents of an Rigid2DTransform

◆ SetAngle()

template<typename TParametersValueType = double>

void itk::Rigid2DTransform< TParametersValueType >::SetAngle ( TParametersValueType angle )

Set/Get the angle of rotation in radians

◆ SetAngleInDegrees()

template<typename TParametersValueType = double>

void itk::Rigid2DTransform< TParametersValueType >::SetAngleInDegrees ( TParametersValueType angle )

Set the angle of rotation in degrees.

◆ SetIdentity()

template<typename TParametersValueType = double>

void itk::Rigid2DTransform< TParametersValueType >::SetIdentity ( )

overridevirtual

Reset the parameters to create and identity transform.

Reimplemented from itk::MatrixOffsetTransformBase< double, 2, 2 >.

Reimplemented in itk::Similarity2DTransform< double >.

◆ SetMatrix() [1/2]

template<typename TParametersValueType = double>

void itk::Rigid2DTransform< TParametersValueType >::SetMatrix ( const MatrixType & matrix )

override

Set the rotation Matrix of a Rigid2D Transform

This method sets the 2x2 matrix representing the rotation in the transform. The Matrix is expected to be orthogonal with a certain tolerance.

Warning: This method will throw an exception is the matrix provided as argument is not orthogonal.

See also: MatrixOffsetTransformBase::SetMatrix()

Reimplemented in itk::Similarity2DTransform< double >.

◆ SetMatrix() [2/2]

template<typename TParametersValueType = double>

virtual void itk::Rigid2DTransform< TParametersValueType >::SetMatrix	(	const MatrixType &	matrix,
		const TParametersValueType	tolerance
	)

virtual

Set the rotation Matrix of a Rigid2D Transform

This method sets the 2x2 matrix representing the rotation in the transform. The Matrix is expected to be orthogonal with a certain tolerance.

Warning: This method will throw an exception is the matrix provided as argument is not orthogonal within the given tolerance.

See also: MatrixOffsetTransformBase::SetMatrix()

Reimplemented in itk::Similarity2DTransform< double >.

◆ SetParameters()

template<typename TParametersValueType = double>

void itk::Rigid2DTransform< TParametersValueType >::SetParameters ( const ParametersType & parameters )

overridevirtual

Set the transformation from a container of parameters This is typically used by optimizers. There are 3 parameters. The first one represents the angle of rotation in radians and the last two represents the translation. The center of rotation is fixed.

See also: Transform::SetParameters(); Transform::SetFixedParameters()

Implements itk::Transform< double, VInputDimension, VOutputDimension >.

Reimplemented in itk::Similarity2DTransform< double >.

◆ SetRotation()

template<typename TParametersValueType = double>

void itk::Rigid2DTransform< TParametersValueType >::SetRotation ( TParametersValueType angle )

inline

Set/Get the angle of rotation in radians. These methods are old and are retained for backward compatibility. Instead, use SetAngle() and GetAngle().

Definition at line 196 of file itkRigid2DTransform.h.

◆ SetVarAngle()

template<typename TParametersValueType = double>

void itk::Rigid2DTransform< TParametersValueType >::SetVarAngle ( TParametersValueType angle )

inlineprotected

Update angle without recomputation of other internal variables.

Definition at line 288 of file itkRigid2DTransform.h.

◆ Translate()

template<typename TParametersValueType = double>

void itk::Rigid2DTransform< TParametersValueType >::Translate	(	const OffsetType &	offset,
		bool	pre = `false`
	)

Compose the transformation with a translation

This method modifies self to include a translation of the origin. The translation is precomposed with self if pre is true, and postcomposed otherwise.

Member Data Documentation

◆ InputSpaceDimension

template<typename TParametersValueType = double>

constexpr unsigned int itk::Rigid2DTransform< TParametersValueType >::InputSpaceDimension = 2

staticconstexpr

Dimension of the space.

Definition at line 74 of file itkRigid2DTransform.h.

◆ m_Angle

template<typename TParametersValueType = double>

TParametersValueType itk::Rigid2DTransform< TParametersValueType >::m_Angle {}

private

Definition at line 294 of file itkRigid2DTransform.h.

◆ OutputSpaceDimension

template<typename TParametersValueType = double>

constexpr unsigned int itk::Rigid2DTransform< TParametersValueType >::OutputSpaceDimension = 2

staticconstexpr

Definition at line 75 of file itkRigid2DTransform.h.

◆ ParametersDimension

template<typename TParametersValueType = double>

constexpr unsigned int itk::Rigid2DTransform< TParametersValueType >::ParametersDimension = 3

staticconstexpr

Definition at line 76 of file itkRigid2DTransform.h.

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

itkRigid2DTransform.h

Detailed Description

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Private Attributes

Additional Inherited Members

Member Typedef Documentation

◆ ConstPointer

◆ InputCovariantVectorType

◆ InputPointType

◆ InputVectorType

◆ InputVnlVectorType

◆ InverseJacobianPositionType

◆ InverseTransformBasePointer

◆ InverseTransformBaseType

◆ JacobianPositionType

◆ JacobianType

◆ MatrixType

◆ MatrixValueType

◆ OffsetType

◆ OffsetValueType

◆ OutputCovariantVectorType

◆ OutputPointType

◆ OutputVectorType

◆ OutputVectorValueType

◆ OutputVnlVectorType

◆ Pointer

◆ ScalarType

◆ Self

◆ Superclass

Constructor & Destructor Documentation

◆ Rigid2DTransform() [1/3]

◆ Rigid2DTransform() [2/3]

◆ Rigid2DTransform() [3/3]

◆ ~Rigid2DTransform()

Member Function Documentation

◆ BackTransform() [1/4]

◆ BackTransform() [2/4]

◆ BackTransform() [3/4]

◆ BackTransform() [4/4]

◆ CloneInverseTo()

◆ CloneTo()

◆ ComputeJacobianWithRespectToParameters()

◆ ComputeMatrix()

◆ ComputeMatrixParameters()

◆ GetAngle()

◆ GetInverse()

◆ GetInverseTransform()

◆ GetNameOfClass()

◆ GetParameters()

◆ GetRotation()

◆ New()

◆ PrintSelf()

◆ SetAngle()

◆ SetAngleInDegrees()

◆ SetIdentity()

◆ SetMatrix() [1/2]

◆ SetMatrix() [2/2]

◆ SetParameters()

◆ SetRotation()

◆ SetVarAngle()

◆ Translate()

Member Data Documentation

◆ InputSpaceDimension

◆ m_Angle

◆ OutputSpaceDimension

◆ ParametersDimension