itk::Transform< TParametersValueType, VInputDimension, VOutputDimension > Class Template Reference

#include <itkTransform.h>

Detailed Description

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>
class itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >

Transform points and vectors from an input space to an output space.

This abstract class defines the generic interface for a geometric transformation from one space to another. The class provides methods for mapping points, vectors and covariant vectors from the input space to the output space.

Given that transformations are not necessarily invertible, this basic class does not provide the methods for back transformation. Back transform methods are implemented in derived classes where appropriate.

Registration Framework Support

Typically a Transform class has several methods for setting its parameters. For use in the registration framework, the parameters must also be represented by an array of doubles to allow communication with generic optimizers. The Array of transformation parameters is set using the SetParameters() method.

Another requirement of the registration framework is the computation of the transform Jacobian. In general, an ImageToImageMetric requires the knowledge of the Jacobian in order to compute the metric derivatives. The Jacobian is a matrix whose element are the partial derivatives of the output point with respect to the array of parameters that defines the transform.

Subclasses must provide implementations for:
virtual OutputPointType TransformPoint(const InputPointType &) const
virtual OutputVectorType TransformVector(const InputVectorType &) const
virtual OutputVnlVectorType TransformVector(const InputVnlVectorType &) const
virtual OutputCovariantVectorType TransformCovariantVector(const InputCovariantVectorType &) const
virtual void SetParameters(const ParametersType &)
virtual void SetFixedParameters(const FixedParametersType &)
virtual void ComputeJacobianWithRespectToParameters( const InputPointType &, JacobianType &) const
virtual void ComputeJacobianWithRespectToPosition( const InputPointType & x, JacobianPositionType &jacobian ) const;

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

Definition at line 83 of file itkTransform.h.

Inheritance diagram for itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >:

Collaboration diagram for itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >:

Public Types
using	ConstPointer = SmartPointer< const Self >
using	DerivativeType = Array< ParametersValueType >
using	DirectionChangeMatrix = Matrix< double, Self::OutputSpaceDimension, Self::InputSpaceDimension >
using	InputCovariantVectorType = CovariantVector< TParametersValueType, VInputDimension >
using	InputDiffusionTensor3DType = DiffusionTensor3D< TParametersValueType >
using	InputDirectionMatrix = Matrix< double, Self::InputSpaceDimension, Self::InputSpaceDimension >
using	InputPointType = Point< TParametersValueType, VInputDimension >
using	InputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< TParametersValueType, VInputDimension >
using	InputVectorPixelType = VariableLengthVector< TParametersValueType >
using	InputVectorType = Vector< TParametersValueType, VInputDimension >
using	InputVnlVectorType = vnl_vector_fixed< TParametersValueType, VInputDimension >
using	InverseJacobianPositionType = vnl_matrix_fixed< ParametersValueType, VInputDimension, VOutputDimension >
using	InverseTransformBasePointer = typename InverseTransformBaseType::Pointer
using	InverseTransformBaseType = Transform< TParametersValueType, VOutputDimension, VInputDimension >
using	JacobianPositionType = vnl_matrix_fixed< ParametersValueType, VOutputDimension, VInputDimension >
using	JacobianType = Array2D< ParametersValueType >
using	MatrixType = Matrix< TParametersValueType, Self::OutputSpaceDimension, Self::InputSpaceDimension >
using	OutputCovariantVectorType = CovariantVector< TParametersValueType, VOutputDimension >
using	OutputDiffusionTensor3DType = DiffusionTensor3D< TParametersValueType >
using	OutputDirectionMatrix = Matrix< double, Self::OutputSpaceDimension, Self::OutputSpaceDimension >
using	OutputPointType = Point< TParametersValueType, VOutputDimension >
using	OutputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< TParametersValueType, VOutputDimension >
using	OutputVectorPixelType = VariableLengthVector< TParametersValueType >
using	OutputVectorType = Vector< TParametersValueType, VOutputDimension >
using	OutputVnlVectorType = vnl_vector_fixed< TParametersValueType, VOutputDimension >
using	Pointer = SmartPointer< Self >
using	ScalarType = ParametersValueType
using	Self = Transform
using	Superclass = TransformBaseTemplate< TParametersValueType >

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

Public Attributes
InverseJacobianPositionType &jacobian	const

Static Public Attributes
static constexpr unsigned int	InputSpaceDimension = VInputDimension
static constexpr unsigned int	OutputSpaceDimension = VOutputDimension

Protected Member Functions
LightObject::Pointer	InternalClone () const override
OutputDiffusionTensor3DType	PreservationOfPrincipalDirectionDiffusionTensor3DReorientation (const InputDiffusionTensor3DType &, const InverseJacobianPositionType &) const
	Transform ()=default
	Transform (NumberOfParametersType numberOfParameters)
	~Transform () override=default

Static Protected Member Functions
template<typename TTransform >
static InverseTransformBasePointer	InvertTransform (const TTransform &transform)

Protected Attributes
FixedParametersType	m_FixedParameters {}
ParametersType	m_Parameters {}

Static Private Member Functions
static std::string	GetTransformTypeAsString (double *)
static std::string	GetTransformTypeAsString (float *)
template<typename TType >
static std::string	GetTransformTypeAsString (TType *)

Member Typedef Documentation

ConstPointer

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::ConstPointer = SmartPointer<const Self>

Definition at line 93 of file itkTransform.h.

DerivativeType

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

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

Definition at line 124 of file itkTransform.h.

DirectionChangeMatrix

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::DirectionChangeMatrix = Matrix<double, Self::OutputSpaceDimension, Self::InputSpaceDimension>

Definition at line 173 of file itkTransform.h.

InputCovariantVectorType

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::InputCovariantVectorType = CovariantVector<TParametersValueType, VInputDimension>

Standard covariant vector type for this class

Definition at line 152 of file itkTransform.h.

InputDiffusionTensor3DType

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::InputDiffusionTensor3DType = DiffusionTensor3D<TParametersValueType>

Definition at line 148 of file itkTransform.h.

InputDirectionMatrix

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::InputDirectionMatrix = Matrix<double, Self::InputSpaceDimension, Self::InputSpaceDimension>

Definition at line 172 of file itkTransform.h.

InputPointType

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::InputPointType = Point<TParametersValueType, VInputDimension>

Standard coordinate point type for this class

Definition at line 160 of file itkTransform.h.

InputSymmetricSecondRankTensorType

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::InputSymmetricSecondRankTensorType = SymmetricSecondRankTensor<TParametersValueType, VInputDimension>

Definition at line 144 of file itkTransform.h.

InputVectorPixelType

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::InputVectorPixelType = VariableLengthVector<TParametersValueType>

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

Definition at line 140 of file itkTransform.h.

InputVectorType

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::InputVectorType = Vector<TParametersValueType, VInputDimension>

Standard vector type for this class.

Definition at line 135 of file itkTransform.h.

InputVnlVectorType

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::InputVnlVectorType = vnl_vector_fixed<TParametersValueType, VInputDimension>

Standard vnl_vector type for this class.

Definition at line 156 of file itkTransform.h.

InverseJacobianPositionType

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

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

Definition at line 132 of file itkTransform.h.

InverseTransformBasePointer

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::InverseTransformBasePointer = typename InverseTransformBaseType::Pointer

Definition at line 167 of file itkTransform.h.

InverseTransformBaseType

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::InverseTransformBaseType = Transform<TParametersValueType, VOutputDimension, VInputDimension>

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

Definition at line 165 of file itkTransform.h.

JacobianPositionType

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

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

Definition at line 131 of file itkTransform.h.

JacobianType

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

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

Type of the Jacobian matrix.

Definition at line 130 of file itkTransform.h.

MatrixType

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

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

Definition at line 169 of file itkTransform.h.

OutputCovariantVectorType

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::OutputCovariantVectorType = CovariantVector<TParametersValueType, VOutputDimension>

Definition at line 153 of file itkTransform.h.

OutputDiffusionTensor3DType

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::OutputDiffusionTensor3DType = DiffusionTensor3D<TParametersValueType>

Definition at line 149 of file itkTransform.h.

OutputDirectionMatrix

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::OutputDirectionMatrix = Matrix<double, Self::OutputSpaceDimension, Self::OutputSpaceDimension>

Definition at line 171 of file itkTransform.h.

OutputPointType

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::OutputPointType = Point<TParametersValueType, VOutputDimension>

Definition at line 161 of file itkTransform.h.

OutputSymmetricSecondRankTensorType

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::OutputSymmetricSecondRankTensorType = SymmetricSecondRankTensor<TParametersValueType, VOutputDimension>

Definition at line 145 of file itkTransform.h.

OutputVectorPixelType

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::OutputVectorPixelType = VariableLengthVector<TParametersValueType>

Definition at line 141 of file itkTransform.h.

OutputVectorType

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::OutputVectorType = Vector<TParametersValueType, VOutputDimension>

Definition at line 136 of file itkTransform.h.

OutputVnlVectorType

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::OutputVnlVectorType = vnl_vector_fixed<TParametersValueType, VOutputDimension>

Definition at line 157 of file itkTransform.h.

Pointer

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::Pointer = SmartPointer<Self>

Definition at line 92 of file itkTransform.h.

ScalarType

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

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

Type of the scalar representing coordinate and vector elements.

Definition at line 127 of file itkTransform.h.

Self

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::Self = Transform

Standard class type aliases.

Definition at line 90 of file itkTransform.h.

Superclass

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

using itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::Superclass = TransformBaseTemplate<TParametersValueType>

Definition at line 91 of file itkTransform.h.

Constructor & Destructor Documentation

Transform() [1/2]

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::Transform ( )

protecteddefault

Default-constructor. Creates a transform, having empty Parameters and FixedParameters.

Transform() [2/2]

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::Transform ( NumberOfParametersType  numberOfParameters )

protected

~Transform()

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::~Transform ( )

overrideprotecteddefault

Member Function Documentation

ApplyToImageMetadata()

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

template<typename TImage >

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

inline

Apply this transform to an image without resampling.

Updates image metadata (origin, spacing, direction cosines matrix) in place.

Only available when input and output space are of the same dimension. Only works properly for linear transforms.

The image parameter may be either a SmartPointer or a raw pointer.

Definition at line 565 of file itkTransform.h.

ComputeJacobianWithRespectToParameters()

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

virtual void itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::ComputeJacobianWithRespectToParameters ( const InputPointType &  , JacobianType &    ) const

pure virtual

Compute the Jacobian of the transformation

This method computes the Jacobian matrix of the transformation at a given input point. The rank of the Jacobian will also indicate if the transform is invertible at this point.

The Jacobian is be expressed as a matrix of partial derivatives of the output point components with respect to the parameters that defined the transform:

\[ J=\left[ \begin{array}{cccc} \frac{\partial x_{1}}{\partial p_{1}} & \frac{\partial x_{1}}{\partial p_{2}} & \cdots & \frac{\partial x_{1}}{\partial p_{m}}\\ \frac{\partial x_{2}}{\partial p_{1}} & \frac{\partial x_{2}}{\partial p_{2}} & \cdots & \frac{\partial x_{2}}{\partial p_{m}}\\ \vdots & \vdots & \ddots & \vdots \\ \frac{\partial x_{n}}{\partial p_{1}} & \frac{\partial x_{n}}{\partial p_{2}} & \cdots & \frac{\partial x_{n}}{\partial p_{m}} \end{array}\right] \]

This is also used for efficient computation of a point-local jacobian for dense transforms. jacobian is assumed to be thread-local variable, otherwise memory corruption will most likely occur during multi-threading. To avoid repetitive memory allocation, pass in 'jacobian' with its size already set.

Implemented in itk::CompositeTransform< TParametersValueType, VDimension >, itk::MatrixOffsetTransformBase< TParametersValueType, 2, 2 >, itk::MatrixOffsetTransformBase< TParametersValueType, 3, 3 >, itk::MatrixOffsetTransformBase< TParametersValueType, VDimension, VDimension >, itk::KernelTransform< TParametersValueType, VDimension >, itk::Similarity2DTransform< TParametersValueType >, itk::ScaleSkewVersor3DTransform< TParametersValueType >, itk::ComposeScaleSkewVersor3DTransform< TParametersValueType >, itk::CenteredSimilarity2DTransform< TParametersValueType >, itk::Similarity3DTransform< TParametersValueType >, itk::ScaleVersor3DTransform< TParametersValueType >, itk::CenteredRigid2DTransform< TParametersValueType >, itk::QuaternionRigidTransform< TParametersValueType >, itk::VersorTransform< TParametersValueType >, itk::VersorRigid3DTransform< TParametersValueType >, itk::Euler3DTransform< TParametersValueType >, itk::CenteredEuler3DTransform< TParametersValueType >, itk::CenteredAffineTransform< TParametersValueType, VDimension >, itk::Rigid2DTransform< TParametersValueType >, and itk::DisplacementFieldTransform< TParametersValueType, VDimension >.

ComputeJacobianWithRespectToParametersCachedTemporaries()

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

virtual void itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::ComputeJacobianWithRespectToParametersCachedTemporaries ( const InputPointType &  p, JacobianType &  jacobian, JacobianType &    ) const

inlinevirtual

Reimplemented in itk::CompositeTransform< TParametersValueType, VDimension >.

Definition at line 513 of file itkTransform.h.

ComputeJacobianWithRespectToPosition()

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

virtual void itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::ComputeJacobianWithRespectToPosition ( const InputPointType &  , JacobianPositionType &    ) const

inlinevirtual

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

Reimplemented in itk::MatrixOffsetTransformBase< TParametersValueType, 2, 2 >, itk::MatrixOffsetTransformBase< TParametersValueType, 3, 3 >, itk::MatrixOffsetTransformBase< TParametersValueType, VDimension, VDimension >, itk::DisplacementFieldTransform< TParametersValueType, VDimension >, and itk::KernelTransform< TParametersValueType, VDimension >.

Definition at line 528 of file itkTransform.h.

CopyInFixedParameters()

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

void itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::CopyInFixedParameters ( const FixedParametersValueType *const  begin, const FixedParametersValueType *const  end  )

override

This function allow copying a range of values into the FixedParameters The range of values must conform to std::copy(begin, end, m_FixedParameters) requirements.

CopyInParameters()

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

void itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::CopyInParameters ( const ParametersValueType *const  begin, const ParametersValueType *const  end  )

override

This function allow copying a range of values into the Parameters The range of values must conform to std::copy(begin, end, m_Parameters) requirements.

GetFixedParameters()

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

const FixedParametersType& itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::GetFixedParameters ( ) const

inlineoverride

Get the Fixed Parameters.

Definition at line 383 of file itkTransform.h.

GetInputSpaceDimension()

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

unsigned int itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::GetInputSpaceDimension ( ) const

inlineoverride

Get the size of the input space

Definition at line 107 of file itkTransform.h.

GetInverse()

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

bool itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::GetInverse ( Self *  ) const

inline

Returns a boolean indicating whether it is possible or not to compute the inverse of this current Transform. If it is possible, then the inverse of the transform is returned in the inverseTransform variable passed by the user. The inverse is recomputed if this current transform has been modified. This method is intended to be overridden as needed by derived classes.

Definition at line 435 of file itkTransform.h.

GetInverseTransform()

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

virtual InverseTransformBasePointer itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::GetInverseTransform ( ) const

inlinevirtual

Return an inverse of this transform. If the inverse has not been implemented, return nullptr. The type of the inverse transform does not necessarily need to match the type of the forward transform. This allows one to return a numeric inverse transform instead.

Reimplemented in itk::MatrixOffsetTransformBase< TParametersValueType, VInputDimension, VOutputDimension >, itk::MatrixOffsetTransformBase< TParametersValueType, 2, 2 >, itk::MatrixOffsetTransformBase< TParametersValueType, 3, 3 >, itk::MatrixOffsetTransformBase< TParametersValueType, VDimension, VDimension >, itk::DisplacementFieldTransform< TParametersValueType, VDimension >, itk::CompositeTransform< TParametersValueType, VDimension >, itk::AffineTransform< TParametersValueType, VDimension >, itk::Rigid2DTransform< TParametersValueType >, itk::IdentityTransform< TParametersValueType, VDimension >, itk::ScaleTransform< TParametersValueType, VDimension >, itk::TranslationTransform< TParametersValueType, VDimension >, itk::Similarity2DTransform< TParametersValueType >, itk::CenteredSimilarity2DTransform< TParametersValueType >, itk::VelocityFieldTransform< TParametersValueType, VDimension >, itk::CenteredRigid2DTransform< TParametersValueType >, itk::ConstantVelocityFieldTransform< TParametersValueType, VDimension >, itk::ScalableAffineTransform< TParametersValueType, VDimension >, itk::v3::Rigid3DTransform< TParametersValueType >, itk::CenteredEuler3DTransform< TParametersValueType >, itk::CenteredAffineTransform< TParametersValueType, VDimension >, and itk::Euler2DTransform< TParametersValueType >.

Definition at line 447 of file itkTransform.h.

GetNameOfClass()

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

const char* itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::GetNameOfClass ( ) const

override

See also

LightObject::GetNameOfClass()

GetNumberOfFixedParameters()

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

virtual NumberOfParametersType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::GetNumberOfFixedParameters ( ) const

inlinevirtual

Return the number of parameters that define the constant elements of a Transform

Reimplemented in itk::CompositeTransform< TParametersValueType, VDimension >, itk::MultiTransform< TParametersValueType, VDimension, VSubDimensions >, and itk::MultiTransform< TParametersValueType, VDimension, VDimension >.

Definition at line 421 of file itkTransform.h.

GetNumberOfLocalParameters()

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

virtual NumberOfParametersType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::GetNumberOfLocalParameters ( ) const

inlinevirtual

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

Reimplemented in itk::DisplacementFieldTransform< TParametersValueType, VDimension >, itk::CompositeTransform< TParametersValueType, VDimension >, itk::BSplineBaseTransform< TParametersValueType, VDimension, VSplineOrder >, itk::MultiTransform< TParametersValueType, VDimension, VSubDimensions >, and itk::MultiTransform< TParametersValueType, VDimension, VDimension >.

Definition at line 407 of file itkTransform.h.

GetNumberOfParameters()

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

NumberOfParametersType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::GetNumberOfParameters ( ) const

inlineoverride

Return the number of parameters that completely define the Transform

Definition at line 414 of file itkTransform.h.

GetOutputSpaceDimension()

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

unsigned int itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::GetOutputSpaceDimension ( ) const

inlineoverride

Get the size of the output space

Definition at line 114 of file itkTransform.h.

GetParameters()

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

const ParametersType& itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::GetParameters ( ) const

inlineoverride

Get the Transformation Parameters.

Definition at line 372 of file itkTransform.h.

GetTransformCategory()

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

TransformCategoryEnum itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::GetTransformCategory ( ) const

inlineoverride

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

Definition at line 462 of file itkTransform.h.

GetTransformTypeAsString() [1/4]

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

std::string itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::GetTransformTypeAsString ( ) const

override

Generate a platform independent name

GetTransformTypeAsString() [2/4]

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

static std::string itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::GetTransformTypeAsString ( double *  )

inlinestaticprivate

Definition at line 623 of file itkTransform.h.

GetTransformTypeAsString() [3/4]

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

static std::string itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::GetTransformTypeAsString ( float *  )

inlinestaticprivate

Definition at line 615 of file itkTransform.h.

GetTransformTypeAsString() [4/4]

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

template<typename TType >

static std::string itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::GetTransformTypeAsString ( TType *  )

inlinestaticprivate

Definition at line 607 of file itkTransform.h.

InternalClone()

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

LightObject::Pointer itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::InternalClone ( ) const

overrideprotected

Clone the current transform. This does a complete copy of the transform state to the new transform

InvertTransform()

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

template<typename TTransform >

static InverseTransformBasePointer itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::InvertTransform ( const TTransform< TParametersValueType, VInputDimension, VOutputDimension > &  transform )

inlinestaticprotected

Returns the inverse of the specified transform. Returns null if it cannot invert the transform. Helper function for the implementation of GetInverseTransform() in derived transform classes.

Definition at line 597 of file itkTransform.h.

IsLinear()

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

virtual bool itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::IsLinear ( ) const

inlinevirtual

Reimplemented in itk::MatrixOffsetTransformBase< TParametersValueType, VInputDimension, VOutputDimension >, itk::MatrixOffsetTransformBase< TParametersValueType, 2, 2 >, itk::MatrixOffsetTransformBase< TParametersValueType, 3, 3 >, itk::MatrixOffsetTransformBase< TParametersValueType, VDimension, VDimension >, itk::MultiTransform< TParametersValueType, VDimension, VSubDimensions >, itk::MultiTransform< TParametersValueType, VDimension, VDimension >, and itk::TranslationTransform< TParametersValueType, VDimension >.

Definition at line 468 of file itkTransform.h.

itkCloneMacro()

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::itkCloneMacro

(

Self

)

define the Clone method

PreservationOfPrincipalDirectionDiffusionTensor3DReorientation()

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

OutputDiffusionTensor3DType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::PreservationOfPrincipalDirectionDiffusionTensor3DReorientation ( const InputDiffusionTensor3DType &  , const InverseJacobianPositionType &    ) const

protected

SetFixedParameters()

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

void itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::SetFixedParameters ( const FixedParametersType &  )

overridepure virtual

Set the fixed parameters and update internal transformation.

Implemented in itk::BSplineDeformableTransform< TParametersValueType, VDimension, VSplineOrder >, itk::BSplineTransform< TParametersValueType, VDimension, VSplineOrder >, itk::BSplineBaseTransform< TParametersValueType, VDimension, VSplineOrder >, itk::Euler3DTransform< TParametersValueType >, itk::CompositeTransform< TParametersValueType, VDimension >, itk::MultiTransform< TParametersValueType, VDimension, VSubDimensions >, itk::MultiTransform< TParametersValueType, VDimension, VDimension >, itk::MatrixOffsetTransformBase< TParametersValueType, VInputDimension, VOutputDimension >, itk::MatrixOffsetTransformBase< TParametersValueType, 2, 2 >, itk::MatrixOffsetTransformBase< TParametersValueType, 3, 3 >, itk::MatrixOffsetTransformBase< TParametersValueType, VDimension, VDimension >, itk::DisplacementFieldTransform< TParametersValueType, VDimension >, itk::TranslationTransform< TParametersValueType, VDimension >, itk::IdentityTransform< TParametersValueType, VDimension >, itk::KernelTransform< TParametersValueType, VDimension >, itk::CenteredSimilarity2DTransform< TParametersValueType >, itk::CenteredRigid2DTransform< TParametersValueType >, itk::Rigid3DPerspectiveTransform< TParametersValueType >, itk::VelocityFieldTransform< TParametersValueType, VDimension >, and itk::ConstantVelocityFieldTransform< TParametersValueType, VDimension >.

SetParameters()

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

void itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::SetParameters ( const ParametersType &  )

overridepure virtual

Set the transformation parameters and update internal transformation. SetParameters gives the transform the option to set it's parameters by keeping a reference to the parameters, or by copying. To force the transform to copy its parameters call SetParametersByValue.

See also

SetParametersByValue

Implemented in itk::DisplacementFieldTransform< TParametersValueType, VDimension >, itk::MatrixOffsetTransformBase< TParametersValueType, VInputDimension, VOutputDimension >, itk::MatrixOffsetTransformBase< TParametersValueType, 2, 2 >, itk::MatrixOffsetTransformBase< TParametersValueType, 3, 3 >, itk::MatrixOffsetTransformBase< TParametersValueType, VDimension, VDimension >, itk::Rigid2DTransform< TParametersValueType >, itk::Similarity2DTransform< TParametersValueType >, itk::Rigid3DPerspectiveTransform< TParametersValueType >, itk::ScaleSkewVersor3DTransform< TParametersValueType >, itk::ComposeScaleSkewVersor3DTransform< TParametersValueType >, itk::CenteredSimilarity2DTransform< TParametersValueType >, itk::QuaternionRigidTransform< TParametersValueType >, itk::Similarity3DTransform< TParametersValueType >, itk::CenteredRigid2DTransform< TParametersValueType >, itk::Rigid3DTransform< TParametersValueType >, itk::ScaleVersor3DTransform< TParametersValueType >, itk::TranslationTransform< TParametersValueType, VDimension >, itk::BSplineBaseTransform< TParametersValueType, VDimension, VSplineOrder >, itk::ScaleTransform< TParametersValueType, VDimension >, itk::VersorTransform< TParametersValueType >, itk::VersorRigid3DTransform< TParametersValueType >, itk::Euler3DTransform< TParametersValueType >, itk::CenteredEuler3DTransform< TParametersValueType >, itk::ScaleLogarithmicTransform< TParametersValueType, VDimension >, itk::CenteredAffineTransform< TParametersValueType, VDimension >, itk::CompositeTransform< TParametersValueType, VDimension >, itk::MultiTransform< TParametersValueType, VDimension, VSubDimensions >, itk::MultiTransform< TParametersValueType, VDimension, VDimension >, itk::IdentityTransform< TParametersValueType, VDimension >, and itk::KernelTransform< TParametersValueType, VDimension >.

SetParametersByValue()

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

void itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::SetParametersByValue ( const ParametersType &  p )

inlineoverride

Set the transformation parameters and update internal transformation. This method forces the transform to copy the parameters. The default implementation is to call SetParameters. This call must be overridden if the transform normally implements SetParameters by keeping a reference to the parameters.

See also

SetParameters

Definition at line 350 of file itkTransform.h.

TransformCovariantVector() [1/4]

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

virtual OutputCovariantVectorType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::TransformCovariantVector ( const InputCovariantVectorType &  ) const

inlinevirtual

Method to transform a CovariantVector.

Reimplemented in itk::MatrixOffsetTransformBase< TParametersValueType, 2, 2 >, itk::MatrixOffsetTransformBase< TParametersValueType, 3, 3 >, itk::MatrixOffsetTransformBase< TParametersValueType, VDimension, VDimension >, itk::CompositeTransform< TParametersValueType, VDimension >, itk::DisplacementFieldTransform< TParametersValueType, VDimension >, itk::Rigid3DPerspectiveTransform< TParametersValueType >, and itk::KernelTransform< TParametersValueType, VDimension >.

Definition at line 234 of file itkTransform.h.

TransformCovariantVector() [2/4]

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

virtual OutputCovariantVectorType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::TransformCovariantVector ( const InputCovariantVectorType &  vector, const InputPointType &  point  ) const

virtual

Method to transform a CovariantVector, using a point. Global transforms can ignore the point parameter. Local transforms (e.g. deformation field transform) must override and provide required behavior. By default, point is ignored and TransformCovariantVector(vector) is called

Reimplemented in itk::CompositeTransform< TParametersValueType, VDimension >.

TransformCovariantVector() [3/4]

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

virtual OutputVectorPixelType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::TransformCovariantVector ( const InputVectorPixelType &  ) const

inlinevirtual

Method to transform a CovariantVector stored in a VectorImage.

Reimplemented in itk::MatrixOffsetTransformBase< TParametersValueType, VInputDimension, VOutputDimension >, itk::MatrixOffsetTransformBase< TParametersValueType, 2, 2 >, itk::MatrixOffsetTransformBase< TParametersValueType, 3, 3 >, itk::MatrixOffsetTransformBase< TParametersValueType, VDimension, VDimension >, itk::CompositeTransform< TParametersValueType, VDimension >, and itk::DisplacementFieldTransform< TParametersValueType, VDimension >.

Definition at line 252 of file itkTransform.h.

TransformCovariantVector() [4/4]

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

virtual OutputVectorPixelType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::TransformCovariantVector ( const InputVectorPixelType &  vector, const InputPointType &  point  ) const

virtual

Method to transform a CovariantVector, using a point. Global transforms can ignore the point parameter. Local transforms (e.g. deformation field transform) must override and provide required behavior. By default, point is ignored and TransformCovariantVector(vector) is called

Reimplemented in itk::CompositeTransform< TParametersValueType, VDimension >.

TransformDiffusionTensor3D() [1/4]

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

virtual OutputDiffusionTensor3DType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::TransformDiffusionTensor3D ( const InputDiffusionTensor3DType &  ) const

inlinevirtual

Method to transform a diffusion tensor

Reimplemented in itk::MatrixOffsetTransformBase< TParametersValueType, VInputDimension, VOutputDimension >, itk::MatrixOffsetTransformBase< TParametersValueType, 2, 2 >, itk::MatrixOffsetTransformBase< TParametersValueType, 3, 3 >, itk::MatrixOffsetTransformBase< TParametersValueType, VDimension, VDimension >, and itk::CompositeTransform< TParametersValueType, VDimension >.

Definition at line 269 of file itkTransform.h.

TransformDiffusionTensor3D() [2/4]

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

virtual OutputDiffusionTensor3DType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::TransformDiffusionTensor3D ( const InputDiffusionTensor3DType &  inputTensor, const InputPointType &  point  ) const

virtual

Method to transform a diffusion tensor at a point. Global transforms can ignore the point parameter. Local transforms (e.g. deformation field transform) must override and provide required behavior. By default, point is ignored and TransformDiffusionTensor(tensor) is called

Reimplemented in itk::CompositeTransform< TParametersValueType, VDimension >.

TransformDiffusionTensor3D() [3/4]

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

virtual OutputVectorPixelType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::TransformDiffusionTensor3D ( const InputVectorPixelType &  ) const

inlinevirtual

Method to transform a diffusion tensor stored in a VectorImage

Reimplemented in itk::MatrixOffsetTransformBase< TParametersValueType, VInputDimension, VOutputDimension >, itk::MatrixOffsetTransformBase< TParametersValueType, 2, 2 >, itk::MatrixOffsetTransformBase< TParametersValueType, 3, 3 >, itk::MatrixOffsetTransformBase< TParametersValueType, VDimension, VDimension >, and itk::CompositeTransform< TParametersValueType, VDimension >.

Definition at line 286 of file itkTransform.h.

TransformDiffusionTensor3D() [4/4]

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

virtual OutputVectorPixelType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::TransformDiffusionTensor3D ( const InputVectorPixelType &  inputTensor, const InputPointType &  point  ) const

virtual

Reimplemented in itk::CompositeTransform< TParametersValueType, VDimension >.

TransformPoint()

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

virtual OutputPointType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::TransformPoint ( const InputPointType &  ) const

pure virtual

Method to transform a point.

Warning

This method must be thread-safe. See, e.g., its use in ResampleImageFilter.

Implemented in itk::KernelTransform< TParametersValueType, VDimension >, itk::MatrixOffsetTransformBase< TParametersValueType, 2, 2 >, itk::MatrixOffsetTransformBase< TParametersValueType, 3, 3 >, itk::MatrixOffsetTransformBase< TParametersValueType, VDimension, VDimension >, itk::AzimuthElevationToCartesianTransform< TParametersValueType, VDimension >, itk::CompositeTransform< TParametersValueType, VDimension >, and itk::DisplacementFieldTransform< TParametersValueType, VDimension >.

TransformSymmetricSecondRankTensor() [1/4]

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

virtual OutputSymmetricSecondRankTensorType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::TransformSymmetricSecondRankTensor ( const InputSymmetricSecondRankTensorType &  ) const

inlinevirtual

Method to transform a ssr tensor stored in a VectorImage

Reimplemented in itk::MatrixOffsetTransformBase< TParametersValueType, VInputDimension, VOutputDimension >, itk::MatrixOffsetTransformBase< TParametersValueType, 2, 2 >, itk::MatrixOffsetTransformBase< TParametersValueType, 3, 3 >, itk::MatrixOffsetTransformBase< TParametersValueType, VDimension, VDimension >, and itk::CompositeTransform< TParametersValueType, VDimension >.

Definition at line 307 of file itkTransform.h.

TransformSymmetricSecondRankTensor() [2/4]

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

virtual OutputSymmetricSecondRankTensorType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::TransformSymmetricSecondRankTensor ( const InputSymmetricSecondRankTensorType &  inputTensor, const InputPointType &  point  ) const

virtual

Method to transform a diffusion tensor at a point. Global transforms can ignore the point parameter. Local transforms (e.g. deformation field transform) must override and provide required behavior. By default, point is ignored and TransformSymmetricSecondRankTensor(tensor) is called

Reimplemented in itk::CompositeTransform< TParametersValueType, VDimension >.

TransformSymmetricSecondRankTensor() [3/4]

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

virtual OutputVectorPixelType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::TransformSymmetricSecondRankTensor ( const InputVectorPixelType &  ) const

inlinevirtual

Method to transform a ssr tensor stored in a VectorImage

Reimplemented in itk::MatrixOffsetTransformBase< TParametersValueType, VInputDimension, VOutputDimension >, itk::MatrixOffsetTransformBase< TParametersValueType, 2, 2 >, itk::MatrixOffsetTransformBase< TParametersValueType, 3, 3 >, itk::MatrixOffsetTransformBase< TParametersValueType, VDimension, VDimension >, and itk::CompositeTransform< TParametersValueType, VDimension >.

Definition at line 316 of file itkTransform.h.

TransformSymmetricSecondRankTensor() [4/4]

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

virtual OutputVectorPixelType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::TransformSymmetricSecondRankTensor ( const InputVectorPixelType &  inputTensor, const InputPointType &  point  ) const

virtual

Method to transform a diffusion tensor stored in a VectorImage, at a point. Global transforms can ignore the point parameter. Local transforms (e.g. deformation field transform) must override and provide required behavior. By default, point is ignored and TransformDiffusionTensor(tensor) is called

Reimplemented in itk::CompositeTransform< TParametersValueType, VDimension >.

TransformVector() [1/6]

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

virtual OutputVectorPixelType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::TransformVector ( const InputVectorPixelType &  ) const

inlinevirtual

Method to transform a vector stored in a VectorImage.

Reimplemented in itk::MatrixOffsetTransformBase< TParametersValueType, VInputDimension, VOutputDimension >, itk::MatrixOffsetTransformBase< TParametersValueType, 2, 2 >, itk::MatrixOffsetTransformBase< TParametersValueType, 3, 3 >, itk::MatrixOffsetTransformBase< TParametersValueType, VDimension, VDimension >, itk::CompositeTransform< TParametersValueType, VDimension >, and itk::DisplacementFieldTransform< TParametersValueType, VDimension >.

Definition at line 218 of file itkTransform.h.

TransformVector() [2/6]

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

virtual OutputVectorPixelType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::TransformVector ( const InputVectorPixelType &  vector, const InputPointType &  point  ) const

virtual

Method to transform a vector stored in a VectorImage, at a point. For global transforms, point is ignored and TransformVector( vector ) is called. Local transforms (e.g. deformation field transform) must override and provide required behavior.

Reimplemented in itk::CompositeTransform< TParametersValueType, VDimension >.

TransformVector() [3/6]

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

virtual OutputVectorType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::TransformVector ( const InputVectorType &  ) const

inlinevirtual

Method to transform a vector.

Reimplemented in itk::MatrixOffsetTransformBase< TParametersValueType, 2, 2 >, itk::MatrixOffsetTransformBase< TParametersValueType, 3, 3 >, itk::MatrixOffsetTransformBase< TParametersValueType, VDimension, VDimension >, itk::CompositeTransform< TParametersValueType, VDimension >, itk::DisplacementFieldTransform< TParametersValueType, VDimension >, and itk::KernelTransform< TParametersValueType, VDimension >.

Definition at line 186 of file itkTransform.h.

TransformVector() [4/6]

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

virtual OutputVectorType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::TransformVector ( const InputVectorType &  vector, const InputPointType &  point  ) const

virtual

Method to transform a vector at a given location. For global transforms, point is ignored and TransformVector( vector ) is called. Local transforms (e.g. deformation field transform) must override and provide required behavior.

Reimplemented in itk::CompositeTransform< TParametersValueType, VDimension >.

TransformVector() [5/6]

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

virtual OutputVnlVectorType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::TransformVector ( const InputVnlVectorType &  ) const

inlinevirtual

Method to transform a vnl_vector.

Reimplemented in itk::MatrixOffsetTransformBase< TParametersValueType, 2, 2 >, itk::MatrixOffsetTransformBase< TParametersValueType, 3, 3 >, itk::MatrixOffsetTransformBase< TParametersValueType, VDimension, VDimension >, itk::CompositeTransform< TParametersValueType, VDimension >, itk::DisplacementFieldTransform< TParametersValueType, VDimension >, itk::Rigid3DPerspectiveTransform< TParametersValueType >, and itk::KernelTransform< TParametersValueType, VDimension >.

Definition at line 202 of file itkTransform.h.

TransformVector() [6/6]

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

virtual OutputVnlVectorType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::TransformVector ( const InputVnlVectorType &  vector, const InputPointType &  point  ) const

virtual

Method to transform a vnl_vector, at a point. For global transforms, point is ignored and TransformVector( vector ) is called. Local transforms (e.g. deformation field transform) must override and provide required behavior.

Reimplemented in itk::CompositeTransform< TParametersValueType, VDimension >.

UpdateTransformParameters()

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

virtual void itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::UpdateTransformParameters ( const DerivativeType &  update, ParametersValueType  factor = 1.0  )

virtual

Update the transform's parameters by the values in update.

Parameters

update	must be of the same length as returned by GetNumberOfParameters(). Throw an exception otherwise.
factor	is a scalar multiplier for each value in update. SetParameters is called at the end of this method, to allow the transform to perform any required operations on the updated parameters - typically a conversion to member variables for use in TransformPoint.

Reimplemented in itk::DisplacementFieldTransform< TParametersValueType, VDimension >, itk::CompositeTransform< TParametersValueType, VDimension >, itk::MultiTransform< TParametersValueType, VDimension, VSubDimensions >, itk::MultiTransform< TParametersValueType, VDimension, VDimension >, itk::VelocityFieldTransform< TParametersValueType, VDimension >, itk::ConstantVelocityFieldTransform< TParametersValueType, VDimension >, itk::BSplineExponentialDiffeomorphicTransform< TParametersValueType, VDimension >, itk::BSplineSmoothingOnUpdateDisplacementFieldTransform< TParametersValueType, VDimension >, itk::GaussianSmoothingOnUpdateDisplacementFieldTransform< TParametersValueType, VDimension >, and itk::GaussianExponentialDiffeomorphicTransform< TParametersValueType, VDimension >.

Member Data Documentation

const

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

InverseJacobianPositionType& jacobian itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::const

Definition at line 546 of file itkTransform.h.

InputSpaceDimension

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

constexpr unsigned int itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::InputSpaceDimension = VInputDimension

staticconstexpr

Dimension of the domain space.

Definition at line 99 of file itkTransform.h.

m_FixedParameters

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

FixedParametersType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::m_FixedParameters {}

mutableprotected

Definition at line 587 of file itkTransform.h.

m_Parameters

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

ParametersType itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::m_Parameters {}

mutableprotected

Definition at line 586 of file itkTransform.h.

OutputSpaceDimension

template<typename TParametersValueType, unsigned int VInputDimension = 3, unsigned int VOutputDimension = 3>

constexpr unsigned int itk::Transform< TParametersValueType, VInputDimension, VOutputDimension >::OutputSpaceDimension = VOutputDimension

staticconstexpr

Definition at line 100 of file itkTransform.h.

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

• itkTransform.h