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

#include <itkTransform.h>

Inheritance diagram for itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >:

Collaboration diagram for itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >:

Public Types
typedef SmartPointer< const Self >	ConstPointer
typedef Array < ParametersValueType >	DerivativeType
typedef Matrix< double, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)>	DirectionChangeMatrix
typedef CovariantVector < TScalarType, NInputDimensions >	InputCovariantVectorType
typedef DiffusionTensor3D < TScalarType >	InputDiffusionTensor3DType
typedef Matrix< double, itkGetStaticConstMacro(InputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)>	InputDirectionMatrix
typedef Point< TScalarType, NInputDimensions >	InputPointType
typedef SymmetricSecondRankTensor < TScalarType, NInputDimensions >	InputSymmetricSecondRankTensorType
typedef VariableLengthVector < TScalarType >	InputVectorPixelType
typedef Vector< TScalarType, NInputDimensions >	InputVectorType
typedef vnl_vector_fixed < TScalarType, NInputDimensions >	InputVnlVectorType
typedef InverseTransformBaseType::Pointer	InverseTransformBasePointer
typedef Transform< TScalarType, NOutputDimensions, NInputDimensions >	InverseTransformBaseType
typedef Array2D < ParametersValueType >	JacobianType
typedef Matrix< TScalarType, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)>	MatrixType
typedef Superclass::NumberOfParametersType	NumberOfParametersType
typedef CovariantVector < TScalarType, NOutputDimensions >	OutputCovariantVectorType
typedef DiffusionTensor3D < TScalarType >	OutputDiffusionTensor3DType
typedef Matrix< double, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(OutputSpaceDimension)>	OutputDirectionMatrix
typedef Point< TScalarType, NOutputDimensions >	OutputPointType
typedef SymmetricSecondRankTensor < TScalarType, NOutputDimensions >	OutputSymmetricSecondRankTensorType
typedef VariableLengthVector < TScalarType >	OutputVectorPixelType
typedef Vector< TScalarType, NOutputDimensions >	OutputVectorType
typedef vnl_vector_fixed < TScalarType, NOutputDimensions >	OutputVnlVectorType
typedef Superclass::ParametersType	ParametersType
typedef Superclass::ParametersValueType	ParametersValueType
typedef SmartPointer< Self >	Pointer
typedef TScalarType	ScalarType
typedef Transform	Self
typedef TransformBase	Superclass
Public Member Functions
virtual void	ComputeInverseJacobianWithRespectToPosition (const InputPointType &x, JacobianType &jacobian) const
virtual void	ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianType &) const
DirectionChangeMatrix	GetDirectionChangeMatrix (void) const
virtual const ParametersType &	GetFixedParameters (void) const
unsigned int	GetInputSpaceDimension (void) const
bool	GetInverse (Self *) const
virtual InverseTransformBasePointer	GetInverseTransform () const
virtual const char *	GetNameOfClass () const
virtual NumberOfParametersType	GetNumberOfLocalParameters (void) const
virtual NumberOfParametersType	GetNumberOfParameters (void) const
unsigned int	GetOutputSpaceDimension (void) const
virtual const ParametersType &	GetParameters (void) const
virtual std::string	GetTransformTypeAsString () const
virtual bool	HasLocalSupport () const
virtual bool	IsLinear () const
void	SetDirectionChangeMatrix (const DirectionChangeMatrix &changeDir)
virtual void	SetFixedParameters (const ParametersType &)=0
virtual void	SetParameters (const ParametersType &)=0
virtual void	SetParametersByValue (const ParametersType &p)
virtual OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &vector, const InputPointType &point) const
virtual OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const
virtual OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &vector, const InputPointType &point) const
virtual OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &) const
virtual OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &) const
virtual OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &tensor, const InputPointType &point) const
virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &) const
virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &tensor, const InputPointType &point) const
virtual OutputPointType	TransformPoint (const InputPointType &) const =0
virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &tensor, const InputPointType &point) const
virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &tensor, const InputPointType &point) const
virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &) const
virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &) const
virtual OutputVnlVectorType	TransformVector (const InputVnlVectorType &vector, const InputPointType &point) const
virtual OutputVnlVectorType	TransformVector (const InputVnlVectorType &) const
virtual OutputVectorType	TransformVector (const InputVectorType &) const
virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &) const
virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &vector, const InputPointType &point) const
virtual OutputVectorType	TransformVector (const InputVectorType &vector, const InputPointType &point) const
virtual void	UpdateTransformParameters (DerivativeType &update, TScalarType factor=1.0)

virtual void	ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &) const
Static Public Attributes

static const unsigned int	InputSpaceDimension = NInputDimensions
static const unsigned int	OutputSpaceDimension = NOutputDimensions
Protected Member Functions
OutputDiffusionTensor3DType	PreservationOfPrincipalDirectionDiffusionTensor3DReorientation (const InputDiffusionTensor3DType, const JacobianType) const
	Transform (NumberOfParametersType NumberOfParameters)
	Transform ()
virtual	~Transform ()
Protected Attributes
DirectionChangeMatrix	m_DirectionChange
ParametersType	m_FixedParameters
ParametersType	m_Parameters
Private Member Functions
template<typename TType >
std::string	GetTransformTypeAsString (TType *) const
std::string	GetTransformTypeAsString (double *) const
std::string	GetTransformTypeAsString (float *) const
void	operator= (const Self &)
	Transform (const Self &)

Detailed Description

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
class itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >

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 ParametersType &) virtual void ComputeJacobianWithRespectToParameters( const InputPointType &, JacobianType &) const virtual void ComputeJacobianWithRespectToPosition( const InputPointType & x, JacobianType &jacobian ) const;

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

Definition at line 82 of file itkTransform.h.

Member Typedef Documentation

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef SmartPointer<const Self> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::ConstPointer

Reimplemented from itk::TransformBase.

Definition at line 89 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef Array<ParametersValueType> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::DerivativeType

Reimplemented in itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >, itk::CompositeTransform< TScalar, NDimensions >, itk::BSplineSmoothingOnUpdateDisplacementFieldTransform< TScalar, NDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::GaussianSmoothingOnUpdateDisplacementFieldTransform< TScalar, NDimensions >, itk::GaussianSmoothingOnUpdateTimeVaryingVelocityFieldTransform< TScalar, NDimensions >, and itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >.

Definition at line 117 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef Matrix<double, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::DirectionChangeMatrix

Definition at line 179 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef CovariantVector<TScalarType, NInputDimensions> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::InputCovariantVectorType

Standard covariant vector type for this class

Definition at line 143 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef DiffusionTensor3D<TScalarType> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::InputDiffusionTensor3DType

Reimplemented in itk::CompositeTransform< TScalar, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 138 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef Matrix<double, itkGetStaticConstMacro(InputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::InputDirectionMatrix

Definition at line 175 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef Point<TScalarType, NInputDimensions> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::InputPointType

Standard coordinate point type for this class

Definition at line 153 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef SymmetricSecondRankTensor<TScalarType,NInputDimensions> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::InputSymmetricSecondRankTensorType

Reimplemented in itk::CompositeTransform< TScalar, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 133 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef VariableLengthVector<TScalarType> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::InputVectorPixelType

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

Reimplemented in itk::CompositeTransform< TScalar, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 128 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef Vector<TScalarType, NInputDimensions> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::InputVectorType

Standard vector type for this class.

Definition at line 123 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef vnl_vector_fixed<TScalarType, NInputDimensions> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::InputVnlVectorType

Standard vnl_vector type for this class.

Definition at line 148 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef InverseTransformBaseType::Pointer itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::InverseTransformBasePointer

Definition at line 162 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef Transform< TScalarType, NOutputDimensions, NInputDimensions> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::InverseTransformBaseType

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

Definition at line 159 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef Array2D<ParametersValueType> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::JacobianType

Type of the Jacobian matrix.

Definition at line 120 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef Matrix<TScalarType, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::MatrixType

Definition at line 166 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef Superclass::NumberOfParametersType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::NumberOfParametersType

The number of parameters can potentially be very large, therefore we use here a large capacity integer.

Reimplemented from itk::TransformBase.

Reimplemented in itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >, itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, itk::BSplineTransform< TScalarType, NDimensions, VSplineOrder >, itk::CompositeTransform< TScalar, NDimensions >, itk::TranslationTransform< TScalarType, NDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, and itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >.

Definition at line 181 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef CovariantVector<TScalarType, NOutputDimensions> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::OutputCovariantVectorType

Definition at line 145 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef DiffusionTensor3D<TScalarType> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::OutputDiffusionTensor3DType

Reimplemented in itk::CompositeTransform< TScalar, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 139 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef Matrix<double, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(OutputSpaceDimension)> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::OutputDirectionMatrix

Definition at line 171 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef Point<TScalarType, NOutputDimensions> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::OutputPointType

Definition at line 154 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef SymmetricSecondRankTensor<TScalarType,NOutputDimensions> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::OutputSymmetricSecondRankTensorType

Reimplemented in itk::CompositeTransform< TScalar, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 135 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef VariableLengthVector<TScalarType> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::OutputVectorPixelType

Reimplemented in itk::CompositeTransform< TScalar, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 129 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef Vector<TScalarType, NOutputDimensions> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::OutputVectorType

Definition at line 124 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef vnl_vector_fixed<TScalarType, NOutputDimensions> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::OutputVnlVectorType

Definition at line 150 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef Superclass::ParametersType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::ParametersType

Type of the input parameters.

Reimplemented from itk::TransformBase.

Definition at line 115 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef Superclass::ParametersValueType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::ParametersValueType

Type of the input parameters.

Reimplemented from itk::TransformBase.

Definition at line 116 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef SmartPointer<Self> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::Pointer

Reimplemented from itk::TransformBase.

Definition at line 88 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef TScalarType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::ScalarType

Type of the scalar representing coordinate and vector elements.

Definition at line 112 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef Transform itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::Self

Standard class typedefs.

Reimplemented from itk::TransformBase.

Definition at line 86 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

typedef TransformBase itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::Superclass

Reimplemented from itk::TransformBase.

Definition at line 87 of file itkTransform.h.

Constructor & Destructor Documentation

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::Transform ( ) [protected]

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::Transform ( NumberOfParametersType NumberOfParameters ) [protected]

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::~Transform ( ) [inline, protected, virtual]

Definition at line 563 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::Transform ( const Self & ) [private]

Member Function Documentation

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual void itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::ComputeInverseJacobianWithRespectToPosition	(	const InputPointType &	x,
		JacobianType &	jacobian
	)		const `[virtual]`

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 indentity jacobian since there is no change with respect to position.

Reimplemented in itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual void itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::ComputeJacobianWithRespectToParameters	(	const InputPointType &	,
		JacobianType &
	)		const `[inline, 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 repeatitive memory allocation, pass in 'jacobian' with its size already set.

Reimplemented in itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 531 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual void itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::ComputeJacobianWithRespectToPosition	(	const InputPointType &	,
		JacobianType &
	)		const `[inline, virtual]`

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 indentity jacobian since there is no change with respect to position.

Reimplemented in itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 545 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

DirectionChangeMatrix itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::GetDirectionChangeMatrix ( void ) const [inline]

Definition at line 194 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual const ParametersType& itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::GetFixedParameters ( void ) const [inline, virtual]

Get the Fixed Parameters.

Implements itk::TransformBase.

Reimplemented in itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >, itk::CenteredRigid2DTransform< TScalarType >, itk::CenteredSimilarity2DTransform< TScalarType >, itk::CompositeTransform< TScalar, NDimensions >, itk::IdentityTransform< TScalarType, NDimensions >, itk::KernelTransform< TScalarType, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::ScaleTransform< TScalarType, NDimensions >, itk::TranslationTransform< TScalarType, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 385 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

unsigned int itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::GetInputSpaceDimension ( void ) const [inline, virtual]

Get the size of the input space

Implements itk::TransformBase.

Definition at line 100 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

bool itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::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 overriden as needed by derived classes.

Reimplemented in itk::AffineTransform< TScalarType, NDimensions >, itk::CenteredAffineTransform< TScalarType, NDimensions >, itk::CenteredEuler3DTransform< TScalarType >, itk::CenteredRigid2DTransform< TScalarType >, itk::CenteredSimilarity2DTransform< TScalarType >, itk::CompositeTransform< TScalar, NDimensions >, itk::Euler2DTransform< TScalarType >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::Rigid2DTransform< TScalarType >, itk::ScalableAffineTransform< TScalarType, NDimensions >, itk::ScaleTransform< TScalarType, NDimensions >, itk::Similarity2DTransform< TScalarType >, itk::TranslationTransform< TScalarType, NDimensions >, itkv3::Rigid3DTransform< TScalarType >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 429 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual InverseTransformBasePointer itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::GetInverseTransform ( ) const [inline, virtual]

Return an inverse of this transform. If the inverse has not been implemented, return NULL. 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.

Definition at line 440 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual const char* itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::GetNameOfClass ( ) const [virtual]

Run-time type information (and related methods).

Reimplemented from itk::TransformBase.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual NumberOfParametersType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::GetNumberOfLocalParameters ( void ) const [inline, virtual]

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::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, itk::CompositeTransform< TScalar, NDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, and itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >.

Definition at line 410 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual NumberOfParametersType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::GetNumberOfParameters ( void ) const [inline, virtual]

Return the number of parameters that completely define the Transfom

Implements itk::TransformBase.

Reimplemented in itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >, itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, itk::BSplineTransform< TScalarType, NDimensions, VSplineOrder >, itk::CompositeTransform< TScalar, NDimensions >, and itk::TranslationTransform< TScalarType, NDimensions >.

Definition at line 416 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

unsigned int itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::GetOutputSpaceDimension ( void ) const [inline, virtual]

Get the size of the output space

Implements itk::TransformBase.

Definition at line 106 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual const ParametersType& itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::GetParameters ( void ) const [inline, virtual]

Get the Transformation Parameters.

Implements itk::TransformBase.

Definition at line 376 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual std::string itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::GetTransformTypeAsString ( ) const [virtual]

Generate a platform independant name

Implements itk::TransformBase.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

template<typename TType >

std::string itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::GetTransformTypeAsString ( TType * ) const [inline, private]

Definition at line 585 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

std::string itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::GetTransformTypeAsString ( float * ) const [inline, private]

Definition at line 592 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

std::string itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::GetTransformTypeAsString ( double * ) const [inline, private]

Definition at line 599 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual bool itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::HasLocalSupport ( ) const [inline, virtual]

Indicates if this transform is a "global" transform e.g. an affine transform, or a local one, e.g. a deformation field.

Reimplemented in itk::BSplineTransform< TScalarType, NDimensions, VSplineOrder >, itk::CompositeTransform< TScalar, NDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, and itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >.

Definition at line 471 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual bool itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::IsLinear ( ) const [inline, virtual]

Indicates if this transform is linear. A transform is defined to be linear if the transform of a linear combination of points is equal to the linear combination (with the same coefficients) of the individual transforms of each point. The transform T will be linear if given two points P and Q, and scalar coefficients a and b, then

T( a*P + b*Q ) = a * T(P) + b * T(Q)

By default, we assume this to NOT be the case for most transforms. However, transforms for which this is true will overload and reimplement this method accordingly.

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

Definition at line 463 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

void itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::operator= ( const Self & ) [private]

Mutex lock to protect modification to the reference count

Reimplemented from itk::TransformBase.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

OutputDiffusionTensor3DType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::PreservationOfPrincipalDirectionDiffusionTensor3DReorientation	(	const InputDiffusionTensor3DType	,
		const JacobianType
	)		const `[protected]`

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

void itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::SetDirectionChangeMatrix ( const DirectionChangeMatrix & changeDir ) [inline]

Definition at line 189 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual void itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::SetFixedParameters ( const ParametersType & ) [pure virtual]

Set the fixed parameters and update internal transformation.

Implemented in itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >, itk::CenteredRigid2DTransform< TScalarType >, itk::CenteredSimilarity2DTransform< TScalarType >, itk::ScaleTransform< TScalarType, NDimensions >, itk::TranslationTransform< TScalarType, NDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual void itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::SetParameters ( const ParametersType & ) [pure 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 it's parameters call SetParametersByValue.

See also:: SetParametersByValue

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual void itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::SetParametersByValue ( const ParametersType & p ) [inline, virtual]

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

Reimplemented in itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >.

Definition at line 370 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual OutputVectorPixelType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::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

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual OutputCovariantVectorType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformCovariantVector ( const InputCovariantVectorType & ) const [inline, virtual]

Method to transform a CovariantVector.

Reimplemented in itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >, itk::IdentityTransform< TScalarType, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::ScaleTransform< TScalarType, NDimensions >, itk::TranslationTransform< TScalarType, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 252 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual OutputCovariantVectorType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::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

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual OutputVectorPixelType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformCovariantVector ( const InputVectorPixelType & ) const [inline, virtual]

Method to transform a CovariantVector stored in a VectorImage.

Reimplemented in itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 269 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual OutputDiffusionTensor3DType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformDiffusionTensor3D ( const InputDiffusionTensor3DType & ) const [inline, virtual]

Method to transform a diffusion tensor

Reimplemented in itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 286 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual OutputVectorPixelType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformDiffusionTensor3D ( const InputVectorPixelType & ) const [inline, virtual]

Method to transform a diffusion tensor stored in a VectorImage

Reimplemented in itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 305 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual OutputVectorPixelType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformDiffusionTensor3D	(	const InputVectorPixelType &	tensor,
		const InputPointType &	point
	)		const `[virtual]`

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual OutputDiffusionTensor3DType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformDiffusionTensor3D	(	const InputDiffusionTensor3DType &	tensor,
		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

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual OutputPointType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::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::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual OutputVectorPixelType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformSymmetricSecondRankTensor	(	const InputVectorPixelType &	tensor,
		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

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual OutputSymmetricSecondRankTensorType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformSymmetricSecondRankTensor	(	const InputSymmetricSecondRankTensorType &	tensor,
		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

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual OutputSymmetricSecondRankTensorType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformSymmetricSecondRankTensor ( const InputSymmetricSecondRankTensorType & ) const [inline, virtual]

Method to transform a ssr tensor stored in a VectorImage

Reimplemented in itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 327 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual OutputVectorPixelType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformSymmetricSecondRankTensor ( const InputVectorPixelType & ) const [inline, virtual]

Method to transform a ssr tensor stored in a VectorImage

Reimplemented in itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 336 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual OutputVectorPixelType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::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.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual OutputVnlVectorType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformVector ( const InputVnlVectorType & ) const [inline, virtual]

Method to transform a vnl_vector.

Reimplemented in itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 221 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual OutputVectorType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::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.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual OutputVnlVectorType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::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.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual OutputVectorType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformVector ( const InputVectorType & ) const [inline, virtual]

Method to transform a vector.

Reimplemented in itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 206 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual OutputVectorPixelType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformVector ( const InputVectorPixelType & ) const [inline, virtual]

Method to transform a vector stored in a VectorImage.

Reimplemented in itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.

Definition at line 236 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

virtual void itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::UpdateTransformParameters	(	DerivativeType &	update,
		TScalarType	factor = `1.0`
	)		`[virtual]`

Update the transform's parameters by the adding values in update to current parameter values. We assume update is of the same length as Parameters. Throw exception otherwise. factor is a scalar multiplier for each value in update. SetParameters is called at the end of this method, to allow transforms to perform any required operations on the update parameters, typically a converion to member variables for use in TransformPoint. Derived classes should override to provide specialized behavior.

Member Data Documentation

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

const unsigned int itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::InputSpaceDimension = NInputDimensions [static]

Dimension of the domain space.

Definition at line 95 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

DirectionChangeMatrix itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::m_DirectionChange [mutable, protected]

Definition at line 579 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

ParametersType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::m_FixedParameters [mutable, protected]

Reimplemented in itk::ScaleTransform< TScalarType, NDimensions >.

Definition at line 568 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

ParametersType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::m_Parameters [mutable, protected]

Definition at line 567 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>

const unsigned int itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::OutputSpaceDimension = NOutputDimensions [static]

Dimension of the domain space.

Definition at line 96 of file itkTransform.h.

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

itkTransform.h

Public Types

Public Member Functions

Static Public Attributes

Protected Member Functions

Protected Attributes

Private Member Functions

Detailed Description

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3> class itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
class itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >