#include <itkScaleSkewVersor3DTransform.h>

Detailed Description

template<typename TParametersValueType = double>
class itk::ScaleSkewVersor3DTransform< TParametersValueType >

ScaleSkewVersor3DTransform of a vector space (e.g. space coordinates)

This transform applies a versor rotation and translation & scale/skew to the space

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 15 elements. The first 3 elements are the components of the versor representation of 3D rotation. The next 3 parameters defines the translation in each dimension. The next 3 parameters defines scaling in each dimension. The last 6 parameters defines the skew.

The serialization of the fixed parameters is an array of 3 elements defining the center of rotation.

The transform can be described as: \( (\textbf{R}_v + \textbf{S} + \textbf{K})\textbf{x} \) where \(\textbf{R}_v\) is the rotation matrix given the versor, \(S=\left( \begin{array}{ccc}s_0-1 & 0 & 0 \\ 0 & s_1-1 & 0 \\ 0 & 0 & s_2-1 \end{array} \right) \) , and \(K=\left( \begin{array}{ccc}0 & k_0 & k_1 \\ k_2 & 0 & k_3 \\ k_4 & k_5 & 0 \end{array} \right) \).

Definition at line 54 of file itkScaleSkewVersor3DTransform.h.

Inheritance diagram for itk::ScaleSkewVersor3DTransform< TParametersValueType >:

Collaboration diagram for itk::ScaleSkewVersor3DTransform< TParametersValueType >:

Public Types
using	ConstPointer = SmartPointer<const Self>

using	Pointer = SmartPointer<Self>

using	ScaleVectorType = Vector<TParametersValueType, 3>

using	ScaleVectorValueType = typename ScaleVectorType::ValueType

using	Self = ScaleSkewVersor3DTransform

using	SkewVectorType = Vector<TParametersValueType, 6>

using	SkewVectorValueType = typename SkewVectorType::ValueType

using	Superclass = VersorRigid3DTransform<TParametersValueType>

using	TranslationValueType = typename TranslationType::ValueType

Public Types inherited from itk::VersorRigid3DTransform< double >
typedef typename VersorType::ValueType	AngleType

using	AngleType

typedef typename VersorType::VectorType	AxisType

using	AxisType

typedef typename AxisType::ValueType	AxisValueType

using	AxisValueType

using	ConstPointer

using	DerivativeType

typedef typename ParametersType::ValueType	ParametersValueType

using	ParametersValueType

using	Pointer

using	Self

using	Superclass

using	VectorType

typedef Versor< double >	VersorType

using	VersorType

Public Types inherited from itk::VersorTransform< double >
using	AngleType

using	AxisType

using	AxisValueType

using	ConstPointer

typedef vnl_matrix_fixed< ParametersValueType, VInputDimension, VOutputDimension >	InverseJacobianPositionType

typedef vnl_matrix_fixed< ParametersValueType, VInputDimension, VOutputDimension >	InverseJacobianPositionType

typedef vnl_matrix_fixed< ParametersValueType, VOutputDimension, VInputDimension >	JacobianPositionType

typedef vnl_matrix_fixed< ParametersValueType, VOutputDimension, VInputDimension >	JacobianPositionType

typedef Array2D< ParametersValueType >	JacobianType

typedef Array2D< ParametersValueType >	JacobianType

using	ParametersValueType

using	Pointer

typedef ParametersValueType	ScalarType

typedef ParametersValueType	ScalarType

using	Self

using	Superclass

using	VersorType

using	VnlQuaternionType

Public Types inherited from itk::Rigid3DTransform< double >
using	ConstPointer

typedef vnl_matrix_fixed< ParametersValueType, VInputDimension, VOutputDimension >	InverseJacobianPositionType

typedef vnl_matrix_fixed< ParametersValueType, VInputDimension, VOutputDimension >	InverseJacobianPositionType

using	InverseTransformBasePointer

using	InverseTransformBaseType

typedef vnl_matrix_fixed< ParametersValueType, VOutputDimension, VInputDimension >	JacobianPositionType

typedef vnl_matrix_fixed< ParametersValueType, VOutputDimension, VInputDimension >	JacobianPositionType

typedef Array2D< ParametersValueType >	JacobianType

typedef Array2D< ParametersValueType >	JacobianType

using	Pointer

typedef ParametersValueType	ScalarType

typedef ParametersValueType	ScalarType

using	Self

using	Superclass

Public Types inherited from itk::MatrixOffsetTransformBase< double, 3, 3 >
using	CenterType

using	ConstPointer

using	InputCovariantVectorType

typedef DiffusionTensor3D< double >	InputDiffusionTensor3DType

using	InputDiffusionTensor3DType

using	InputPointType

using	InputPointValueType

typedef SymmetricSecondRankTensor< double, VInputDimension >	InputSymmetricSecondRankTensorType

using	InputSymmetricSecondRankTensorType

using	InputTensorEigenVectorType

typedef VariableLengthVector< double >	InputVectorPixelType

using	InputVectorPixelType

using	InputVectorType

using	InputVnlVectorType

typedef vnl_matrix_fixed< ParametersValueType, VInputDimension, VOutputDimension >	InverseJacobianPositionType

using	InverseJacobianPositionType

using	InverseMatrixType

using	InverseTransformBasePointer

using	InverseTransformBaseType

using	InverseTransformType

typedef vnl_matrix_fixed< ParametersValueType, VOutputDimension, VInputDimension >	JacobianPositionType

using	JacobianPositionType

typedef Array2D< ParametersValueType >	JacobianType

using	JacobianType

using	MatrixType

using	MatrixValueType

using	OffsetType

using	OffsetValueType

using	OutputCovariantVectorType

typedef DiffusionTensor3D< double >	OutputDiffusionTensor3DType

using	OutputDiffusionTensor3DType

using	OutputPointType

using	OutputPointValueType

typedef SymmetricSecondRankTensor< double, VOutputDimension >	OutputSymmetricSecondRankTensorType

using	OutputSymmetricSecondRankTensorType

typedef VariableLengthVector< double >	OutputVectorPixelType

using	OutputVectorPixelType

using	OutputVectorType

using	OutputVectorValueType

using	OutputVnlVectorType

using	Pointer

typedef ParametersValueType	ScalarType

using	ScalarType

using	Self

using	Superclass

using	TranslationType

using	TranslationValueType

Public Types inherited from itk::Transform< double, VInputDimension, VOutputDimension >
using	ConstPointer

using	DerivativeType

using	DirectionChangeMatrix

typedef OptimizerParameters< FixedParametersValueType >	FixedParametersType

using	FixedParametersType

typedef double	FixedParametersValueType

using	FixedParametersValueType

using	InputCovariantVectorType

using	InputDiffusionTensor3DType

using	InputDirectionMatrix

using	InputPointType

using	InputSymmetricSecondRankTensorType

using	InputVectorPixelType

using	InputVectorType

using	InputVnlVectorType

using	InverseJacobianPositionType

using	InverseTransformBasePointer

using	InverseTransformBaseType

using	JacobianPositionType

using	JacobianType

using	MatrixType

typedef IdentifierType	NumberOfParametersType

using	NumberOfParametersType

using	OutputCovariantVectorType

using	OutputDiffusionTensor3DType

using	OutputDirectionMatrix

using	OutputPointType

using	OutputSymmetricSecondRankTensorType

using	OutputVectorPixelType

using	OutputVectorType

using	OutputVnlVectorType

typedef OptimizerParameters< ParametersValueType >	ParametersType

using	ParametersType

typedef double	ParametersValueType

using	ParametersValueType

using	Pointer

using	ScalarType

using	Self

using	Superclass

typedef TransformBaseTemplateEnums::TransformCategory	TransformCategoryEnum

using	TransformCategoryEnum

Public Types inherited from TransformBaseTemplate< double >
using	ConstPointer

using	FixedParametersType

using	FixedParametersValueType

using	NumberOfParametersType

using	ParametersType

using	ParametersValueType

using	Pointer

using	Self

using	Superclass

using	TransformCategoryEnum

using	TransformCategoryType

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

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

const char *	GetNameOfClass () const override

const ParametersType &	GetParameters () const override

virtual const ScaleVectorType &	GetScale () const

virtual const SkewVectorType &	GetSkew () const

void	SetIdentity () override

void	SetParameters (const ParametersType &parameters) override

void	SetScale (const ScaleVectorType &scale)

void	SetSkew (const SkewVectorType &skew)


void	SetMatrix (const MatrixType &matrix) override

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

Public Member Functions inherited from itk::VersorRigid3DTransform< double >
void	ComputeJacobianWithRespectToParameters (const InputPointType &p, JacobianType &jacobian) const override

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

const char *	GetNameOfClass () const override

const ParametersType &	GetParameters () const override

void	SetParameters (const ParametersType &parameters) override

void	UpdateTransformParameters (const DerivativeType &update, double factor=1.0) override

Public Member Functions inherited from itk::VersorTransform< double >
void	ComputeJacobianWithRespectToParameters (const InputPointType &p, JacobianType &jacobian) const override

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

const char *	GetNameOfClass () const override

const ParametersType &	GetParameters () const override

virtual const VersorType &	GetVersor () const

void	SetIdentity () override

void	SetParameters (const ParametersType &parameters) override

void	SetRotation (const AxisType &axis, AngleType angle)

void	SetRotation (const VersorType &versor)

Public Member Functions inherited from itk::Rigid3DTransform< double >
virtual::itk::LightObject::Pointer	CreateAnother () const

const char *	GetNameOfClass () const override

bool	MatrixIsOrthogonal (const MatrixType &matrix, const double tolerance=MatrixOrthogonalityTolerance< double >::GetTolerance())

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

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

Public Member Functions inherited from itk::MatrixOffsetTransformBase< double, 3, 3 >
void	Compose (const Self *other, bool pre=false)

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

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

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

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

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

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

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

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

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

TransformCategoryEnum	GetTransformCategory () const override

const OutputVectorType &	GetTranslation () const

bool	IsLinear () const override

void	SetFixedParameters (const FixedParametersType &) override

virtual OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const

virtual OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const

OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &vec) const override

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

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

OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &vect) const override

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

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

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

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

OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &tensor) const override

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

OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &inputTensor) const override

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

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

OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &inputTensor) const override

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

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

OutputVectorPixelType	TransformVector (const InputVectorPixelType &vect) const override

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

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

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

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

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

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

virtual void	ComputeJacobianWithRespectToPosition (const InputPointType &x, JacobianPositionType &jacobian) 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 *inverseTransform) const

const char *	GetNameOfClass () const override

virtual NumberOfParametersType	GetNumberOfFixedParameters () const

virtual NumberOfParametersType	GetNumberOfLocalParameters () const

NumberOfParametersType	GetNumberOfParameters () const override

unsigned int	GetOutputSpaceDimension () const override

TransformCategoryEnum	GetTransformCategory () const override

std::string	GetTransformTypeAsString () const override

	itkCloneMacro (Self)

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 &vector) const

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

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

virtual OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &tensor) const

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

virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &tensor) const

virtual OutputPointType	TransformPoint (const InputPointType &) const=0

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

virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &tensor) const

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

virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &tensor) const

virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &vector) 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	ComputeJacobianWithRespectToParameters (const InputPointType &p, JacobianType &jacobian) const=0

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

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

Public Member Functions inherited from TransformBaseTemplate< double >
	ITK_DISALLOW_COPY_AND_MOVE (TransformBaseTemplate)

	ITK_DISALLOW_COPY_AND_MOVE (TransformBaseTemplate)

	itkGetConstReferenceMacro (InputSpaceName, std::string)

	itkGetConstReferenceMacro (InputSpaceName, std::string)

	itkGetConstReferenceMacro (OutputSpaceName, std::string)

	itkGetConstReferenceMacro (OutputSpaceName, std::string)

	itkOverrideGetNameOfClassMacro (TransformBaseTemplate)

	itkOverrideGetNameOfClassMacro (TransformBaseTemplate)

	itkSetMacro (InputSpaceName, std::string)

	itkSetMacro (InputSpaceName, std::string)

	itkSetMacro (OutputSpaceName, std::string)

	itkSetMacro (OutputSpaceName, std::string)

virtual void	SetFixedParameters (const FixedParametersType &)=0

virtual void	SetFixedParameters (const FixedParametersType &)=0

virtual void	SetParameters (const ParametersType &)=0

virtual void	SetParameters (const ParametersType &)=0

virtual void	SetParametersByValue (const ParametersType &p)=0

virtual void	SetParametersByValue (const ParametersType &p)=0

Static Public Member Functions
static Pointer	New ()

Static Public Member Functions inherited from itk::VersorRigid3DTransform< double >
static Pointer	New ()

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

Static Public Member Functions inherited from itk::Rigid3DTransform< double >
static Pointer	New ()

Static Public Member Functions inherited from itk::MatrixOffsetTransformBase< double, 3, 3 >
static Pointer	New ()

Static Public Attributes
static constexpr unsigned int	InputSpaceDimension = 3

static constexpr unsigned int	OutputSpaceDimension = 3

static constexpr unsigned int	ParametersDimension = 15

Static Public Attributes inherited from itk::VersorRigid3DTransform< double >
static constexpr unsigned int	InputSpaceDimension

static constexpr unsigned int	OutputSpaceDimension

static constexpr unsigned int	ParametersDimension

static constexpr unsigned int	SpaceDimension

Static Public Attributes inherited from itk::VersorTransform< double >
static constexpr unsigned int	InputSpaceDimension

static constexpr unsigned int	OutputSpaceDimension

static constexpr unsigned int	ParametersDimension

static constexpr unsigned int	SpaceDimension

Static Public Attributes inherited from itk::Rigid3DTransform< double >
static constexpr unsigned int	InputSpaceDimension

static constexpr unsigned int	OutputSpaceDimension

static constexpr unsigned int	ParametersDimension

static constexpr unsigned int	SpaceDimension

Static Public Attributes inherited from itk::MatrixOffsetTransformBase< double, 3, 3 >
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	BSpline

static constexpr TransformCategoryEnum	DisplacementField

static constexpr TransformCategoryEnum	DisplacementField

static constexpr TransformCategoryEnum	Linear

static constexpr TransformCategoryEnum	Linear

static constexpr TransformCategoryEnum	Spline

static constexpr TransformCategoryEnum	Spline

static constexpr TransformCategoryEnum	UnknownTransformCategory

static constexpr TransformCategoryEnum	UnknownTransformCategory

static constexpr TransformCategoryEnum	VelocityField

static constexpr TransformCategoryEnum	VelocityField

Protected Member Functions
void	ComputeMatrix () override

void	ComputeMatrixParameters () override

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

	ScaleSkewVersor3DTransform ()

	ScaleSkewVersor3DTransform (unsigned int parametersDimension)

void	SetVarScale (const ScaleVectorType &scale)

void	SetVarSkew (const SkewVectorType &skew)

	~ScaleSkewVersor3DTransform () override=default

Protected Member Functions inherited from itk::VersorRigid3DTransform< double >
void	PrintSelf (std::ostream &os, Indent indent) const override

	VersorRigid3DTransform ()

	VersorRigid3DTransform (unsigned int paramDim)

	~VersorRigid3DTransform () override=default

Protected Member Functions inherited from itk::VersorTransform< double >
void	ComputeMatrix () override

void	ComputeMatrixParameters () override

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

void	SetVarVersor (const VersorType &newVersor)

	~VersorTransform () override=default

	VersorTransform (unsigned int parametersDimension)

	VersorTransform ()

Protected Member Functions inherited from itk::Rigid3DTransform< double >
void	PrintSelf (std::ostream &os, Indent indent) const override

	Rigid3DTransform ()

	Rigid3DTransform (unsigned int paramDim)

	~Rigid3DTransform () override=default

Protected Member Functions inherited from itk::MatrixOffsetTransformBase< double, 3, 3 >
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 ()=default

	~TransformBaseTemplate () override=default

	~TransformBaseTemplate () override=default

Private Attributes
ScaleVectorType	m_Scale {}

SkewVectorType	m_Skew {}

Additional Inherited Members
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::ScaleSkewVersor3DTransform< TParametersValueType >::ConstPointer = SmartPointer<const Self>

Definition at line 63 of file itkScaleSkewVersor3DTransform.h.

◆ Pointer

template<typename TParametersValueType = double>

using itk::ScaleSkewVersor3DTransform< TParametersValueType >::Pointer = SmartPointer<Self>

Definition at line 62 of file itkScaleSkewVersor3DTransform.h.

◆ ScaleVectorType

template<typename TParametersValueType = double>

using itk::ScaleSkewVersor3DTransform< TParametersValueType >::ScaleVectorType = Vector<TParametersValueType, 3>

Scale & Skew Vector Type.

Definition at line 102 of file itkScaleSkewVersor3DTransform.h.

◆ ScaleVectorValueType

template<typename TParametersValueType = double>

using itk::ScaleSkewVersor3DTransform< TParametersValueType >::ScaleVectorValueType = typename ScaleVectorType::ValueType

Definition at line 105 of file itkScaleSkewVersor3DTransform.h.

◆ Self

template<typename TParametersValueType = double>

using itk::ScaleSkewVersor3DTransform< TParametersValueType >::Self = ScaleSkewVersor3DTransform

Standard class type aliases.

Definition at line 60 of file itkScaleSkewVersor3DTransform.h.

◆ SkewVectorType

template<typename TParametersValueType = double>

using itk::ScaleSkewVersor3DTransform< TParametersValueType >::SkewVectorType = Vector<TParametersValueType, 6>

Definition at line 103 of file itkScaleSkewVersor3DTransform.h.

◆ SkewVectorValueType

template<typename TParametersValueType = double>

using itk::ScaleSkewVersor3DTransform< TParametersValueType >::SkewVectorValueType = typename SkewVectorType::ValueType

Definition at line 106 of file itkScaleSkewVersor3DTransform.h.

◆ Superclass

template<typename TParametersValueType = double>

using itk::ScaleSkewVersor3DTransform< TParametersValueType >::Superclass = VersorRigid3DTransform<TParametersValueType>

Definition at line 61 of file itkScaleSkewVersor3DTransform.h.

◆ TranslationValueType

template<typename TParametersValueType = double>

using itk::ScaleSkewVersor3DTransform< TParametersValueType >::TranslationValueType = typename TranslationType::ValueType

Definition at line 107 of file itkScaleSkewVersor3DTransform.h.

Constructor & Destructor Documentation

◆ ScaleSkewVersor3DTransform() [1/2]

template<typename TParametersValueType = double>

itk::ScaleSkewVersor3DTransform< TParametersValueType >::ScaleSkewVersor3DTransform ( )

protected

References ScaleSkewVersor3DTransform().

Referenced by GetNameOfClass(), and ScaleSkewVersor3DTransform().

◆ ScaleSkewVersor3DTransform() [2/2]

template<typename TParametersValueType = double>

itk::ScaleSkewVersor3DTransform< TParametersValueType >::ScaleSkewVersor3DTransform ( unsigned int parametersDimension )

protected

◆ ~ScaleSkewVersor3DTransform()

template<typename TParametersValueType = double>

itk::ScaleSkewVersor3DTransform< TParametersValueType >::~ScaleSkewVersor3DTransform ( )

overrideprotecteddefault

Member Function Documentation

◆ ComputeJacobianWithRespectToParameters()

template<typename TParametersValueType = double>

void itk::ScaleSkewVersor3DTransform< TParametersValueType >::ComputeJacobianWithRespectToParameters	(	const InputPointType &	p,
		JacobianType &	jacobian ) const

override

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.

◆ ComputeMatrix()

template<typename TParametersValueType = double>

void itk::ScaleSkewVersor3DTransform< TParametersValueType >::ComputeMatrix ( )

overrideprotectedvirtual

Compute the components of the rotation matrix in the superclass.

Reimplemented from itk::MatrixOffsetTransformBase< double, 3, 3 >.

◆ ComputeMatrixParameters()

template<typename TParametersValueType = double>

void itk::ScaleSkewVersor3DTransform< TParametersValueType >::ComputeMatrixParameters ( )

overrideprotectedvirtual

Reimplemented from itk::MatrixOffsetTransformBase< double, 3, 3 >.

◆ CreateAnother()

template<typename TParametersValueType = double>

virtual::itk::LightObject::Pointer itk::ScaleSkewVersor3DTransform< TParametersValueType >::CreateAnother ( ) const

◆ GetNameOfClass()

template<typename TParametersValueType = double>

const char * itk::ScaleSkewVersor3DTransform< TParametersValueType >::GetNameOfClass ( ) const

override

See also: LightObject::GetNameOfClass()

References TransformBaseTemplate< double >::itkOverrideGetNameOfClassMacro(), and ScaleSkewVersor3DTransform().

◆ GetParameters()

template<typename TParametersValueType = double>

const ParametersType & itk::ScaleSkewVersor3DTransform< TParametersValueType >::GetParameters ( ) const

overridevirtual

Get the Transformation Parameters.

Reimplemented from itk::MatrixOffsetTransformBase< double, 3, 3 >.

◆ GetScale()

template<typename TParametersValueType = double>

virtual const ScaleVectorType & itk::ScaleSkewVersor3DTransform< TParametersValueType >::GetScale ( ) const

virtual

References TransformBaseTemplate< double >::itkGetConstReferenceMacro().

◆ GetSkew()

template<typename TParametersValueType = double>

virtual const SkewVectorType & itk::ScaleSkewVersor3DTransform< TParametersValueType >::GetSkew ( ) const

virtual

References TransformBaseTemplate< double >::itkGetConstReferenceMacro().

◆ New()

template<typename TParametersValueType = double>

static Pointer itk::ScaleSkewVersor3DTransform< TParametersValueType >::New ( )

static

New macro for creation of through a Smart Pointer.

◆ PrintSelf()

template<typename TParametersValueType = double>

void itk::ScaleSkewVersor3DTransform< TParametersValueType >::PrintSelf	(	std::ostream &	os,
		Indent	indent ) const

overrideprotected

◆ SetIdentity()

template<typename TParametersValueType = double>

void itk::ScaleSkewVersor3DTransform< TParametersValueType >::SetIdentity ( )

overridevirtual

Set the transformation to an Identity

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

Reimplemented from itk::MatrixOffsetTransformBase< double, 3, 3 >.

◆ SetMatrix() [1/2]

template<typename TParametersValueType = double>

void itk::ScaleSkewVersor3DTransform< TParametersValueType >::SetMatrix ( const MatrixType & matrix )

overridevirtual

Directly set the matrix of the transform.

Orthogonality testing is bypassed in this case.

\sa MatrixOffsetTransformBase::SetMatrix()

Reimplemented from itk::Rigid3DTransform< double >.

◆ SetMatrix() [2/2]

template<typename TParametersValueType = double>

void itk::ScaleSkewVersor3DTransform< TParametersValueType >::SetMatrix	(	const MatrixType &	matrix,
		const TParametersValueType	tolerance )

override

Directly set the matrix of the transform.

Orthogonality testing is bypassed in this case.

\sa MatrixOffsetTransformBase::SetMatrix()

◆ SetParameters()

template<typename TParametersValueType = double>

void itk::ScaleSkewVersor3DTransform< TParametersValueType >::SetParameters ( const ParametersType & parameters )

overridevirtual

Set the transformation from a container of parameters This is typically used by optimizers. There are 15 parameters: 0-2 versor 3-5 translation 6-8 Scale 9-14 Skew

Reimplemented from itk::Rigid3DTransform< double >.

◆ SetScale()

template<typename TParametersValueType = double>

void itk::ScaleSkewVersor3DTransform< TParametersValueType >::SetScale ( const ScaleVectorType & scale )

◆ SetSkew()

template<typename TParametersValueType = double>

void itk::ScaleSkewVersor3DTransform< TParametersValueType >::SetSkew ( const SkewVectorType & skew )

◆ SetVarScale()

template<typename TParametersValueType = double>

void itk::ScaleSkewVersor3DTransform< TParametersValueType >::SetVarScale ( const ScaleVectorType & scale )

inlineprotected

Definition at line 170 of file itkScaleSkewVersor3DTransform.h.

References m_Scale.

◆ SetVarSkew()

template<typename TParametersValueType = double>

void itk::ScaleSkewVersor3DTransform< TParametersValueType >::SetVarSkew ( const SkewVectorType & skew )

inlineprotected

Definition at line 176 of file itkScaleSkewVersor3DTransform.h.

References m_Skew.

Member Data Documentation

◆ InputSpaceDimension

template<typename TParametersValueType = double>

unsigned int itk::ScaleSkewVersor3DTransform< TParametersValueType >::InputSpaceDimension = 3

staticconstexpr

Dimension of parameters.

Definition at line 72 of file itkScaleSkewVersor3DTransform.h.

◆ m_Scale

template<typename TParametersValueType = double>

ScaleVectorType itk::ScaleSkewVersor3DTransform< TParametersValueType >::m_Scale {}

private

Vector containing the scale.

Definition at line 190 of file itkScaleSkewVersor3DTransform.h.

Referenced by SetVarScale().

◆ m_Skew

template<typename TParametersValueType = double>

SkewVectorType itk::ScaleSkewVersor3DTransform< TParametersValueType >::m_Skew {}

private

Vector containing the skew

Definition at line 193 of file itkScaleSkewVersor3DTransform.h.

Referenced by SetVarSkew().

◆ OutputSpaceDimension

template<typename TParametersValueType = double>

unsigned int itk::ScaleSkewVersor3DTransform< TParametersValueType >::OutputSpaceDimension = 3

staticconstexpr

Definition at line 73 of file itkScaleSkewVersor3DTransform.h.

◆ ParametersDimension

template<typename TParametersValueType = double>

unsigned int itk::ScaleSkewVersor3DTransform< TParametersValueType >::ParametersDimension = 15

staticconstexpr

Definition at line 74 of file itkScaleSkewVersor3DTransform.h.

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

itkScaleSkewVersor3DTransform.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

◆ Pointer

◆ ScaleVectorType

◆ ScaleVectorValueType

◆ Self

◆ SkewVectorType

◆ SkewVectorValueType

◆ Superclass

◆ TranslationValueType

Constructor & Destructor Documentation

◆ ScaleSkewVersor3DTransform() [1/2]

◆ ScaleSkewVersor3DTransform() [2/2]

◆ ~ScaleSkewVersor3DTransform()

Member Function Documentation

◆ ComputeJacobianWithRespectToParameters()

◆ ComputeMatrix()

◆ ComputeMatrixParameters()

◆ CreateAnother()

◆ GetNameOfClass()

◆ GetParameters()

◆ GetScale()

◆ GetSkew()

◆ New()

◆ PrintSelf()

◆ SetIdentity()

◆ SetMatrix() [1/2]

◆ SetMatrix() [2/2]

◆ SetParameters()

◆ SetScale()

◆ SetSkew()

◆ SetVarScale()

◆ SetVarSkew()

Member Data Documentation

◆ InputSpaceDimension

◆ m_Scale

◆ m_Skew

◆ OutputSpaceDimension

◆ ParametersDimension