#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 >
using	AngleType = typename VersorType::ValueType

using	AxisType = typename VersorType::VectorType

using	AxisValueType = typename AxisType::ValueType

using	ConstPointer = SmartPointer< const Self >

using	DerivativeType = Array< ParametersValueType >

using	ParametersValueType = typename ParametersType::ValueType

using	Pointer = SmartPointer< Self >

using	Self = VersorRigid3DTransform

using	Superclass = VersorTransform< double >

using	VectorType = typename VersorType::VectorType

using	VersorType = Versor< double >

Public Types inherited from itk::VersorTransform< double >
using	AngleType = typename VersorType::ValueType

using	AxisType = typename VersorType::VectorType

using	AxisValueType = typename AxisType::ValueType

using	CenterType = InputPointType

using	ConstPointer = SmartPointer< const Self >

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

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

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	JacobianPositionType = vnl_matrix_fixed< ParametersValueType, VOutputDimension, VInputDimension >

using	JacobianType = Array2D< ParametersValueType >

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

using	OffsetType = OutputVectorType

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

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

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

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

using	ParametersValueType = typename ParametersType::ValueType

using	Pointer = SmartPointer< Self >

using	ScalarType = ParametersValueType

using	Self = VersorTransform

using	Superclass = Rigid3DTransform< double >

using	VersorType = Versor< double >

using	VnlQuaternionType = vnl_quaternion< double >

Public Types inherited from itk::Rigid3DTransform< double >
using	CenterType = InputPointType

using	ConstPointer = SmartPointer< const Self >

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

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

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	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	OutputCovariantVectorType = CovariantVector< double, Self::OutputSpaceDimension >

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

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 = Rigid3DTransform

using	Superclass = MatrixOffsetTransformBase< double, 3, 3 >

using	TranslationType = OutputVectorType

Public Types inherited from itk::MatrixOffsetTransformBase< double, 3, 3 >
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
void	ComputeJacobianWithRespectToParameters (const InputPointType &p, JacobianType &jacobian) const override

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

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

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 >
const char *	GetNameOfClass () const override

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

void	SetMatrix (const MatrixType &matrix) override

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

void	SetParameters (const ParametersType &parameters) override

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)

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

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::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	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

	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	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
ScaleVectorType	m_Scale {}

SkewVectorType	m_Skew {}

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::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

◆ 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 >.

◆ GetNameOfClass()

template<typename TParametersValueType = double>

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

override

See also: LightObject::GetNameOfClass()

◆ GetParameters()

template<typename TParametersValueType = double>

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

overridevirtual

Get the Transformation Parameters.

Implements TransformBaseTemplate< double >.

◆ GetScale()

template<typename TParametersValueType = double>

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

virtual

◆ GetSkew()

template<typename TParametersValueType = double>

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

virtual

◆ 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::MatrixOffsetTransformBase< double, 3, 3 >.

◆ 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

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

◆ 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.

◆ SetVarSkew()

template<typename TParametersValueType = double>

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

inlineprotected

Definition at line 176 of file itkScaleSkewVersor3DTransform.h.

Member Data Documentation

◆ InputSpaceDimension

template<typename TParametersValueType = double>

constexpr 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.

◆ 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.

◆ OutputSpaceDimension

template<typename TParametersValueType = double>

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

staticconstexpr

Definition at line 73 of file itkScaleSkewVersor3DTransform.h.

◆ ParametersDimension

template<typename TParametersValueType = double>

constexpr 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()

◆ 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