ITK  4.1.0
Insight Segmentation and Registration Toolkit
Public Types | Public Member Functions | Protected Member Functions | Protected Attributes | Private Member Functions
itk::Transform< TScalarType, NInputDimensions, NOutputDimensions > Class Template Reference

#include <itkTransform.h>

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

List of all members.

Public Types

typedef SmartPointer< const SelfConstPointer
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< SelfPointer
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 ParametersTypeGetFixedParameters (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 ParametersTypeGetParameters (void) const
virtual std::string GetTransformTypeAsString () const
virtual bool HasLocalSupport () const
virtual bool IsLinear () const
 itkCloneMacro (Self)
void SetDirectionChangeMatrix (const DirectionChangeMatrix &changeDir)
virtual void SetFixedParameters (const ParametersType &)=0
virtual void SetParameters (const ParametersType &)=0
virtual void SetParametersByValue (const ParametersType &p)
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 &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
OutputSymmetricSecondRankTensorType 
TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &tensor, const InputPointType &point) const
virtual
OutputSymmetricSecondRankTensorType 
TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &) const
virtual OutputVectorPixelType TransformSymmetricSecondRankTensor (const InputVectorPixelType &) const
virtual OutputVectorPixelType TransformSymmetricSecondRankTensor (const InputVectorPixelType &tensor, 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 OutputVectorPixelType TransformVector (const InputVectorPixelType &) const
virtual OutputVectorPixelType TransformVector (const InputVectorPixelType &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

virtual LightObject::Pointer InternalClone () const
OutputDiffusionTensor3DType PreservationOfPrincipalDirectionDiffusionTensor3DReorientation (const InputDiffusionTensor3DType, const JacobianType) const
 Transform ()
 Transform (NumberOfParametersType NumberOfParameters)
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 (float *) const
std::string GetTransformTypeAsString (double *) 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.

Reimplemented in itk::BSplineTransform< TScalarType, NDimensions, VSplineOrder >, itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, itk::AffineTransform< TScalarType, NDimensions >, itk::CompositeTransform< TScalar, NDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::AzimuthElevationToCartesianTransform< TScalarType, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >, itk::TimeVaryingBSplineVelocityFieldTransform< TScalar, NDimensions >, itk::KernelTransform< TScalarType, NDimensions >, itk::Similarity2DTransform< TScalarType >, itkv3::Rigid3DTransform< TScalarType >, itk::Rigid2DTransform< TScalarType >, itk::CenteredSimilarity2DTransform< TScalarType >, itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >, itk::Rigid3DPerspectiveTransform< TScalarType >, itk::CenteredRigid2DTransform< TScalarType >, itk::BSplineSmoothingOnUpdateDisplacementFieldTransform< TScalar, NDimensions >, itk::IdentityTransform< TScalarType, NDimensions >, itk::QuaternionRigidTransform< TScalarType >, itk::Rigid3DTransform< TScalarType >, itk::ScaleSkewVersor3DTransform< TScalarType >, itk::Euler3DTransform< TScalarType >, itk::ScaleTransform< TScalarType, NDimensions >, itk::Similarity3DTransform< TScalarType >, itk::TranslationTransform< TScalarType, NDimensions >, itk::VersorTransform< TScalarType >, itk::VersorRigid3DTransform< TScalarType >, itk::GaussianSmoothingOnUpdateDisplacementFieldTransform< TScalar, NDimensions >, itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::ScaleVersor3DTransform< TScalarType >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::Euler2DTransform< TScalarType >, itk::ScaleLogarithmicTransform< TScalarType, NDimensions >, itk::GaussianSmoothingOnUpdateTimeVaryingVelocityFieldTransform< TScalar, NDimensions >, itk::CenteredEuler3DTransform< TScalarType >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, itk::CenteredAffineTransform< TScalarType, NDimensions >, itk::FixedCenterOfRotationAffineTransform< TScalarType, NDimensions >, itk::ScalableAffineTransform< TScalarType, NDimensions >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >, and itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >.

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
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 182 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

Reimplemented in itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, itk::BSplineTransform< TScalarType, NDimensions, VSplineOrder >, itk::CompositeTransform< TScalar, NDimensions >, itk::AffineTransform< TScalarType, NDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >, itk::Similarity2DTransform< TScalarType >, itk::Rigid2DTransform< TScalarType >, itk::CenteredSimilarity2DTransform< TScalarType >, itk::CenteredRigid2DTransform< TScalarType >, itk::KernelTransform< TScalarType, NDimensions >, itk::Rigid3DPerspectiveTransform< TScalarType >, itkv3::Rigid3DTransform< TScalarType >, itk::IdentityTransform< TScalarType, NDimensions >, itk::ScaleTransform< TScalarType, NDimensions >, itk::TranslationTransform< TScalarType, NDimensions >, itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::QuaternionRigidTransform< TScalarType >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::Euler2DTransform< TScalarType >, itk::Rigid3DTransform< TScalarType >, itk::ScaleSkewVersor3DTransform< TScalarType >, itk::Similarity3DTransform< TScalarType >, itk::VersorTransform< TScalarType >, itk::ScaleLogarithmicTransform< TScalarType, NDimensions >, itk::VersorRigid3DTransform< TScalarType >, itk::Euler3DTransform< TScalarType >, itk::ScaleVersor3DTransform< TScalarType >, itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >, itk::CenteredEuler3DTransform< TScalarType >, itk::ScalableAffineTransform< TScalarType, NDimensions >, itk::CenteredAffineTransform< TScalarType, NDimensions >, and itk::FixedCenterOfRotationAffineTransform< TScalarType, NDimensions >.

Definition at line 146 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef DiffusionTensor3D<TScalarType> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::InputDiffusionTensor3DType
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 178 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

Reimplemented in itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >, itk::BSplineTransform< TScalarType, NDimensions, VSplineOrder >, itk::CompositeTransform< TScalar, NDimensions >, itk::AffineTransform< TScalarType, NDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::AzimuthElevationToCartesianTransform< TScalarType, NDimensions >, itk::Rigid2DTransform< TScalarType >, itk::Similarity2DTransform< TScalarType >, itk::IdentityTransform< TScalarType, NDimensions >, itk::Rigid3DPerspectiveTransform< TScalarType >, itkv3::Rigid3DTransform< TScalarType >, itk::CenteredSimilarity2DTransform< TScalarType >, itk::TimeVaryingBSplineVelocityFieldTransform< TScalar, NDimensions >, itk::ScaleTransform< TScalarType, NDimensions >, itk::TranslationTransform< TScalarType, NDimensions >, itk::KernelTransform< TScalarType, NDimensions >, itk::CenteredRigid2DTransform< TScalarType >, itk::ScaleLogarithmicTransform< TScalarType, NDimensions >, itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >, itk::Rigid3DTransform< TScalarType >, itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >, itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::Euler3DTransform< TScalarType >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::QuaternionRigidTransform< TScalarType >, itk::ScaleSkewVersor3DTransform< TScalarType >, itk::Similarity3DTransform< TScalarType >, itk::VersorTransform< TScalarType >, itk::CenteredEuler3DTransform< TScalarType >, itk::VersorRigid3DTransform< TScalarType >, itk::CenteredAffineTransform< TScalarType, NDimensions >, itk::Euler2DTransform< TScalarType >, itk::ScalableAffineTransform< TScalarType, NDimensions >, itk::FixedCenterOfRotationAffineTransform< TScalarType, NDimensions >, itk::ScaleVersor3DTransform< TScalarType >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, and itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >.

Definition at line 156 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
template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef VariableLengthVector<TScalarType> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::InputVectorPixelType
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.

Reimplemented in itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, itk::BSplineTransform< TScalarType, NDimensions, VSplineOrder >, itk::CompositeTransform< TScalar, NDimensions >, itk::AffineTransform< TScalarType, NDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >, itk::Similarity2DTransform< TScalarType >, itk::Rigid2DTransform< TScalarType >, itk::CenteredSimilarity2DTransform< TScalarType >, itk::TimeVaryingBSplineVelocityFieldTransform< TScalar, NDimensions >, itk::KernelTransform< TScalarType, NDimensions >, itk::CenteredRigid2DTransform< TScalarType >, itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >, itkv3::Rigid3DTransform< TScalarType >, itk::Rigid3DPerspectiveTransform< TScalarType >, itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::IdentityTransform< TScalarType, NDimensions >, itk::ScaleTransform< TScalarType, NDimensions >, itk::TranslationTransform< TScalarType, NDimensions >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::QuaternionRigidTransform< TScalarType >, itk::Rigid3DTransform< TScalarType >, itk::Euler2DTransform< TScalarType >, itk::ScaleSkewVersor3DTransform< TScalarType >, itk::Similarity3DTransform< TScalarType >, itk::VersorTransform< TScalarType >, itk::ScaleLogarithmicTransform< TScalarType, NDimensions >, itk::VersorRigid3DTransform< TScalarType >, itk::Euler3DTransform< TScalarType >, itk::ScaleVersor3DTransform< TScalarType >, itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >, itk::ScalableAffineTransform< TScalarType, NDimensions >, itk::CenteredEuler3DTransform< TScalarType >, itk::FixedCenterOfRotationAffineTransform< TScalarType, NDimensions >, and itk::CenteredAffineTransform< TScalarType, NDimensions >.

Definition at line 126 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.

Reimplemented in itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, itk::CompositeTransform< TScalar, NDimensions >, itk::BSplineTransform< TScalarType, NDimensions, VSplineOrder >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >, itk::AffineTransform< TScalarType, NDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::Similarity2DTransform< TScalarType >, itk::CenteredSimilarity2DTransform< TScalarType >, itk::Rigid2DTransform< TScalarType >, itk::Rigid3DPerspectiveTransform< TScalarType >, itk::CenteredRigid2DTransform< TScalarType >, itk::KernelTransform< TScalarType, NDimensions >, itk::IdentityTransform< TScalarType, NDimensions >, itkv3::Rigid3DTransform< TScalarType >, itk::ScaleTransform< TScalarType, NDimensions >, itk::TranslationTransform< TScalarType, NDimensions >, itk::Euler2DTransform< TScalarType >, itk::ScaleLogarithmicTransform< TScalarType, NDimensions >, itk::Rigid3DTransform< TScalarType >, itk::QuaternionRigidTransform< TScalarType >, itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >, itk::Euler3DTransform< TScalarType >, itk::ScaleSkewVersor3DTransform< TScalarType >, itk::Similarity3DTransform< TScalarType >, itk::VersorTransform< TScalarType >, itk::VersorRigid3DTransform< TScalarType >, itk::ScaleVersor3DTransform< TScalarType >, itk::CenteredEuler3DTransform< TScalarType >, itk::CenteredAffineTransform< TScalarType, NDimensions >, itk::ScalableAffineTransform< TScalarType, NDimensions >, and itk::FixedCenterOfRotationAffineTransform< TScalarType, NDimensions >.

Definition at line 151 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef InverseTransformBaseType::Pointer itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::InverseTransformBasePointer
template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef Transform< TScalarType, NOutputDimensions, NInputDimensions> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::InverseTransformBaseType
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.

Reimplemented in itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, itk::BSplineTransform< TScalarType, NDimensions, VSplineOrder >, itk::CompositeTransform< TScalar, NDimensions >, itk::AffineTransform< TScalarType, NDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::AzimuthElevationToCartesianTransform< TScalarType, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >, itk::Similarity2DTransform< TScalarType >, itk::TimeVaryingBSplineVelocityFieldTransform< TScalar, NDimensions >, itk::Rigid2DTransform< TScalarType >, itk::KernelTransform< TScalarType, NDimensions >, itk::CenteredSimilarity2DTransform< TScalarType >, itkv3::Rigid3DTransform< TScalarType >, itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >, itk::CenteredRigid2DTransform< TScalarType >, itk::IdentityTransform< TScalarType, NDimensions >, itk::Rigid3DPerspectiveTransform< TScalarType >, itk::Rigid3DTransform< TScalarType >, itk::ScaleTransform< TScalarType, NDimensions >, itk::TranslationTransform< TScalarType, NDimensions >, itk::QuaternionRigidTransform< TScalarType >, itk::Euler3DTransform< TScalarType >, itk::ScaleSkewVersor3DTransform< TScalarType >, itk::Similarity3DTransform< TScalarType >, itk::VersorTransform< TScalarType >, itk::VersorRigid3DTransform< TScalarType >, itk::Euler2DTransform< TScalarType >, itk::ScaleLogarithmicTransform< TScalarType, NDimensions >, itk::ScaleVersor3DTransform< TScalarType >, itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >, itk::ScalableAffineTransform< TScalarType, NDimensions >, itk::CenteredEuler3DTransform< TScalarType >, itk::FixedCenterOfRotationAffineTransform< TScalarType, NDimensions >, itk::CenteredAffineTransform< TScalarType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, and itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >.

Definition at line 123 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
template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef Superclass::NumberOfParametersType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::NumberOfParametersType
template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef CovariantVector<TScalarType, NOutputDimensions> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::OutputCovariantVectorType

Reimplemented in itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, itk::CompositeTransform< TScalar, NDimensions >, itk::BSplineTransform< TScalarType, NDimensions, VSplineOrder >, itk::AffineTransform< TScalarType, NDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >, itk::Similarity2DTransform< TScalarType >, itk::CenteredSimilarity2DTransform< TScalarType >, itk::Rigid2DTransform< TScalarType >, itk::CenteredRigid2DTransform< TScalarType >, itk::KernelTransform< TScalarType, NDimensions >, itk::Rigid3DPerspectiveTransform< TScalarType >, itkv3::Rigid3DTransform< TScalarType >, itk::IdentityTransform< TScalarType, NDimensions >, itk::ScaleTransform< TScalarType, NDimensions >, itk::TranslationTransform< TScalarType, NDimensions >, itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::QuaternionRigidTransform< TScalarType >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::Euler2DTransform< TScalarType >, itk::Rigid3DTransform< TScalarType >, itk::ScaleSkewVersor3DTransform< TScalarType >, itk::Similarity3DTransform< TScalarType >, itk::VersorTransform< TScalarType >, itk::ScaleLogarithmicTransform< TScalarType, NDimensions >, itk::VersorRigid3DTransform< TScalarType >, itk::Euler3DTransform< TScalarType >, itk::ScaleVersor3DTransform< TScalarType >, itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, itk::CenteredEuler3DTransform< TScalarType >, itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >, itk::CenteredAffineTransform< TScalarType, NDimensions >, itk::ScalableAffineTransform< TScalarType, NDimensions >, and itk::FixedCenterOfRotationAffineTransform< TScalarType, NDimensions >.

Definition at line 148 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef DiffusionTensor3D<TScalarType> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::OutputDiffusionTensor3DType
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 174 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

Reimplemented in itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >, itk::BSplineTransform< TScalarType, NDimensions, VSplineOrder >, itk::CompositeTransform< TScalar, NDimensions >, itk::AffineTransform< TScalarType, NDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::AzimuthElevationToCartesianTransform< TScalarType, NDimensions >, itk::Rigid2DTransform< TScalarType >, itk::Similarity2DTransform< TScalarType >, itk::IdentityTransform< TScalarType, NDimensions >, itk::Rigid3DPerspectiveTransform< TScalarType >, itkv3::Rigid3DTransform< TScalarType >, itk::CenteredSimilarity2DTransform< TScalarType >, itk::TimeVaryingBSplineVelocityFieldTransform< TScalar, NDimensions >, itk::ScaleTransform< TScalarType, NDimensions >, itk::TranslationTransform< TScalarType, NDimensions >, itk::KernelTransform< TScalarType, NDimensions >, itk::CenteredRigid2DTransform< TScalarType >, itk::ScaleLogarithmicTransform< TScalarType, NDimensions >, itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >, itk::Rigid3DTransform< TScalarType >, itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >, itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::Euler3DTransform< TScalarType >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::QuaternionRigidTransform< TScalarType >, itk::CenteredAffineTransform< TScalarType, NDimensions >, itk::ScaleSkewVersor3DTransform< TScalarType >, itk::Similarity3DTransform< TScalarType >, itk::VersorTransform< TScalarType >, itk::CenteredEuler3DTransform< TScalarType >, itk::VersorRigid3DTransform< TScalarType >, itk::Euler2DTransform< TScalarType >, itk::ScalableAffineTransform< TScalarType, NDimensions >, itk::FixedCenterOfRotationAffineTransform< TScalarType, NDimensions >, itk::ScaleVersor3DTransform< TScalarType >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, and itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >.

Definition at line 157 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
template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef VariableLengthVector<TScalarType> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::OutputVectorPixelType
template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef Vector<TScalarType, NOutputDimensions> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::OutputVectorType

Reimplemented in itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, itk::BSplineTransform< TScalarType, NDimensions, VSplineOrder >, itk::CompositeTransform< TScalar, NDimensions >, itk::AffineTransform< TScalarType, NDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >, itk::Similarity2DTransform< TScalarType >, itk::Rigid2DTransform< TScalarType >, itk::CenteredSimilarity2DTransform< TScalarType >, itk::TimeVaryingBSplineVelocityFieldTransform< TScalar, NDimensions >, itk::KernelTransform< TScalarType, NDimensions >, itk::CenteredRigid2DTransform< TScalarType >, itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >, itkv3::Rigid3DTransform< TScalarType >, itk::Rigid3DPerspectiveTransform< TScalarType >, itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::IdentityTransform< TScalarType, NDimensions >, itk::ScaleTransform< TScalarType, NDimensions >, itk::TranslationTransform< TScalarType, NDimensions >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::QuaternionRigidTransform< TScalarType >, itk::Rigid3DTransform< TScalarType >, itk::Euler2DTransform< TScalarType >, itk::ScaleSkewVersor3DTransform< TScalarType >, itk::Similarity3DTransform< TScalarType >, itk::VersorTransform< TScalarType >, itk::ScaleLogarithmicTransform< TScalarType, NDimensions >, itk::VersorRigid3DTransform< TScalarType >, itk::Euler3DTransform< TScalarType >, itk::ScaleVersor3DTransform< TScalarType >, itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >, itk::ScalableAffineTransform< TScalarType, NDimensions >, itk::CenteredEuler3DTransform< TScalarType >, itk::FixedCenterOfRotationAffineTransform< TScalarType, NDimensions >, and itk::CenteredAffineTransform< TScalarType, NDimensions >.

Definition at line 127 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

Reimplemented in itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, itk::CompositeTransform< TScalar, NDimensions >, itk::BSplineTransform< TScalarType, NDimensions, VSplineOrder >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >, itk::AffineTransform< TScalarType, NDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::Similarity2DTransform< TScalarType >, itk::CenteredSimilarity2DTransform< TScalarType >, itk::Rigid2DTransform< TScalarType >, itk::Rigid3DPerspectiveTransform< TScalarType >, itk::CenteredRigid2DTransform< TScalarType >, itk::KernelTransform< TScalarType, NDimensions >, itk::IdentityTransform< TScalarType, NDimensions >, itkv3::Rigid3DTransform< TScalarType >, itk::ScaleTransform< TScalarType, NDimensions >, itk::TranslationTransform< TScalarType, NDimensions >, itk::Euler2DTransform< TScalarType >, itk::ScaleLogarithmicTransform< TScalarType, NDimensions >, itk::Rigid3DTransform< TScalarType >, itk::QuaternionRigidTransform< TScalarType >, itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >, itk::Euler3DTransform< TScalarType >, itk::ScaleSkewVersor3DTransform< TScalarType >, itk::Similarity3DTransform< TScalarType >, itk::VersorTransform< TScalarType >, itk::VersorRigid3DTransform< TScalarType >, itk::ScaleVersor3DTransform< TScalarType >, itk::CenteredEuler3DTransform< TScalarType >, itk::CenteredAffineTransform< TScalarType, NDimensions >, itk::ScalableAffineTransform< TScalarType, NDimensions >, and itk::FixedCenterOfRotationAffineTransform< TScalarType, NDimensions >.

Definition at line 153 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.

Reimplemented in itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, itk::BSplineTransform< TScalarType, NDimensions, VSplineOrder >, itk::AffineTransform< TScalarType, NDimensions >, itk::CompositeTransform< TScalar, NDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::AzimuthElevationToCartesianTransform< TScalarType, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >, itk::Similarity2DTransform< TScalarType >, itk::TimeVaryingBSplineVelocityFieldTransform< TScalar, NDimensions >, itk::KernelTransform< TScalarType, NDimensions >, itk::Rigid2DTransform< TScalarType >, itkv3::Rigid3DTransform< TScalarType >, itk::CenteredSimilarity2DTransform< TScalarType >, itk::CenteredRigid2DTransform< TScalarType >, itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >, itk::IdentityTransform< TScalarType, NDimensions >, itk::Rigid3DPerspectiveTransform< TScalarType >, itk::Rigid3DTransform< TScalarType >, itk::QuaternionRigidTransform< TScalarType >, itk::ScaleTransform< TScalarType, NDimensions >, itk::TranslationTransform< TScalarType, NDimensions >, itk::ScaleSkewVersor3DTransform< TScalarType >, itk::Similarity3DTransform< TScalarType >, itk::VersorTransform< TScalarType >, itk::Euler3DTransform< TScalarType >, itk::VersorRigid3DTransform< TScalarType >, itk::ScaleVersor3DTransform< TScalarType >, itk::Euler2DTransform< TScalarType >, itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::ScaleLogarithmicTransform< TScalarType, NDimensions >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::FixedCenterOfRotationAffineTransform< TScalarType, NDimensions >, itk::ScalableAffineTransform< TScalarType, NDimensions >, itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >, itk::CenteredEuler3DTransform< TScalarType >, itk::CenteredAffineTransform< TScalarType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, and itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >.

Definition at line 118 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef Superclass::ParametersValueType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::ParametersValueType
template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
typedef SmartPointer<Self> itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::Pointer

Reimplemented from itk::TransformBase.

Reimplemented in itk::BSplineTransform< TScalarType, NDimensions, VSplineOrder >, itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, itk::AffineTransform< TScalarType, NDimensions >, itk::CompositeTransform< TScalar, NDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::AzimuthElevationToCartesianTransform< TScalarType, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >, itk::TimeVaryingBSplineVelocityFieldTransform< TScalar, NDimensions >, itk::KernelTransform< TScalarType, NDimensions >, itk::Similarity2DTransform< TScalarType >, itkv3::Rigid3DTransform< TScalarType >, itk::Rigid2DTransform< TScalarType >, itk::CenteredSimilarity2DTransform< TScalarType >, itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >, itk::Rigid3DPerspectiveTransform< TScalarType >, itk::CenteredRigid2DTransform< TScalarType >, itk::BSplineSmoothingOnUpdateDisplacementFieldTransform< TScalar, NDimensions >, itk::IdentityTransform< TScalarType, NDimensions >, itk::QuaternionRigidTransform< TScalarType >, itk::Rigid3DTransform< TScalarType >, itk::ScaleSkewVersor3DTransform< TScalarType >, itk::Euler3DTransform< TScalarType >, itk::ScaleTransform< TScalarType, NDimensions >, itk::Similarity3DTransform< TScalarType >, itk::TranslationTransform< TScalarType, NDimensions >, itk::VersorTransform< TScalarType >, itk::VersorRigid3DTransform< TScalarType >, itk::GaussianSmoothingOnUpdateDisplacementFieldTransform< TScalar, NDimensions >, itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::ScaleVersor3DTransform< TScalarType >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::Euler2DTransform< TScalarType >, itk::ScaleLogarithmicTransform< TScalarType, NDimensions >, itk::GaussianSmoothingOnUpdateTimeVaryingVelocityFieldTransform< TScalar, NDimensions >, itk::CenteredEuler3DTransform< TScalarType >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, itk::CenteredAffineTransform< TScalarType, NDimensions >, itk::FixedCenterOfRotationAffineTransform< TScalarType, NDimensions >, itk::ScalableAffineTransform< TScalarType, NDimensions >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >, and itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >.

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.

Reimplemented in itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, itk::AffineTransform< TScalarType, NDimensions >, itk::BSplineTransform< TScalarType, NDimensions, VSplineOrder >, itk::CompositeTransform< TScalar, NDimensions >, itk::AzimuthElevationToCartesianTransform< TScalarType, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itkv3::Rigid3DTransform< TScalarType >, itk::Similarity2DTransform< TScalarType >, itk::TimeVaryingBSplineVelocityFieldTransform< TScalar, NDimensions >, itk::KernelTransform< TScalarType, NDimensions >, itk::Rigid2DTransform< TScalarType >, itk::CenteredSimilarity2DTransform< TScalarType >, itk::Rigid3DTransform< TScalarType >, itk::CenteredRigid2DTransform< TScalarType >, itk::QuaternionRigidTransform< TScalarType >, itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >, itk::Euler3DTransform< TScalarType >, itk::ScaleSkewVersor3DTransform< TScalarType >, itk::Similarity3DTransform< TScalarType >, itk::VersorTransform< TScalarType >, itk::VersorRigid3DTransform< TScalarType >, itk::IdentityTransform< TScalarType, NDimensions >, itk::BSplineSmoothingOnUpdateDisplacementFieldTransform< TScalar, NDimensions >, itk::Rigid3DPerspectiveTransform< TScalarType >, itk::ScaleTransform< TScalarType, NDimensions >, itk::ScaleVersor3DTransform< TScalarType >, itk::TranslationTransform< TScalarType, NDimensions >, itk::ScalableAffineTransform< TScalarType, NDimensions >, itk::CenteredEuler3DTransform< TScalarType >, itk::Euler2DTransform< TScalarType >, itk::FixedCenterOfRotationAffineTransform< TScalarType, NDimensions >, itk::GaussianSmoothingOnUpdateDisplacementFieldTransform< TScalar, NDimensions >, itk::CenteredAffineTransform< TScalarType, NDimensions >, itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::ScaleLogarithmicTransform< TScalarType, NDimensions >, itk::GaussianSmoothingOnUpdateTimeVaryingVelocityFieldTransform< TScalar, NDimensions >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, and itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >.

Definition at line 115 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.

Reimplemented in itk::BSplineTransform< TScalarType, NDimensions, VSplineOrder >, itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, itk::AffineTransform< TScalarType, NDimensions >, itk::CompositeTransform< TScalar, NDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::AzimuthElevationToCartesianTransform< TScalarType, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >, itk::TimeVaryingBSplineVelocityFieldTransform< TScalar, NDimensions >, itk::KernelTransform< TScalarType, NDimensions >, itk::Similarity2DTransform< TScalarType >, itkv3::Rigid3DTransform< TScalarType >, itk::Rigid2DTransform< TScalarType >, itk::CenteredSimilarity2DTransform< TScalarType >, itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >, itk::CenteredRigid2DTransform< TScalarType >, itk::BSplineSmoothingOnUpdateDisplacementFieldTransform< TScalar, NDimensions >, itk::IdentityTransform< TScalarType, NDimensions >, itk::Rigid3DPerspectiveTransform< TScalarType >, itk::QuaternionRigidTransform< TScalarType >, itk::Rigid3DTransform< TScalarType >, itk::ScaleSkewVersor3DTransform< TScalarType >, itk::Euler3DTransform< TScalarType >, itk::ScaleTransform< TScalarType, NDimensions >, itk::Similarity3DTransform< TScalarType >, itk::TranslationTransform< TScalarType, NDimensions >, itk::VersorTransform< TScalarType >, itk::VersorRigid3DTransform< TScalarType >, itk::GaussianSmoothingOnUpdateDisplacementFieldTransform< TScalar, NDimensions >, itk::ScaleVersor3DTransform< TScalarType >, itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::Euler2DTransform< TScalarType >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::ScaleLogarithmicTransform< TScalarType, NDimensions >, itk::GaussianSmoothingOnUpdateTimeVaryingVelocityFieldTransform< TScalar, NDimensions >, itk::CenteredEuler3DTransform< TScalarType >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, itk::CenteredAffineTransform< TScalarType, NDimensions >, itk::FixedCenterOfRotationAffineTransform< TScalarType, NDimensions >, itk::ScalableAffineTransform< TScalarType, NDimensions >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >, and itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >.

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.

Reimplemented in itk::BSplineTransform< TScalarType, NDimensions, VSplineOrder >, itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, itk::AffineTransform< TScalarType, NDimensions >, itk::CompositeTransform< TScalar, NDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::AzimuthElevationToCartesianTransform< TScalarType, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >, itk::TimeVaryingBSplineVelocityFieldTransform< TScalar, NDimensions >, itk::KernelTransform< TScalarType, NDimensions >, itk::Similarity2DTransform< TScalarType >, itkv3::Rigid3DTransform< TScalarType >, itk::Rigid2DTransform< TScalarType >, itk::CenteredSimilarity2DTransform< TScalarType >, itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >, itk::CenteredRigid2DTransform< TScalarType >, itk::Rigid3DPerspectiveTransform< TScalarType >, itk::BSplineSmoothingOnUpdateDisplacementFieldTransform< TScalar, NDimensions >, itk::IdentityTransform< TScalarType, NDimensions >, itk::QuaternionRigidTransform< TScalarType >, itk::Rigid3DTransform< TScalarType >, itk::ScaleSkewVersor3DTransform< TScalarType >, itk::Euler3DTransform< TScalarType >, itk::ScaleTransform< TScalarType, NDimensions >, itk::Similarity3DTransform< TScalarType >, itk::TranslationTransform< TScalarType, NDimensions >, itk::VersorTransform< TScalarType >, itk::VersorRigid3DTransform< TScalarType >, itk::GaussianSmoothingOnUpdateDisplacementFieldTransform< TScalar, NDimensions >, itk::ScaleVersor3DTransform< TScalarType >, itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::Euler2DTransform< TScalarType >, itk::ScaleLogarithmicTransform< TScalarType, NDimensions >, itk::GaussianSmoothingOnUpdateTimeVaryingVelocityFieldTransform< TScalar, NDimensions >, itk::CenteredEuler3DTransform< TScalarType >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, itk::CenteredAffineTransform< TScalarType, NDimensions >, itk::FixedCenterOfRotationAffineTransform< TScalarType, NDimensions >, itk::ScalableAffineTransform< TScalarType, NDimensions >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >, and itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >.

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 573 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 534 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 548 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 197 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]
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 103 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::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::CompositeTransform< TScalar, NDimensions >, itk::AffineTransform< TScalarType, NDimensions >, itk::Rigid2DTransform< TScalarType >, itk::ScaleTransform< TScalarType, NDimensions >, itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >, itk::Similarity2DTransform< TScalarType >, itk::TranslationTransform< TScalarType, NDimensions >, itk::CenteredSimilarity2DTransform< TScalarType >, itk::TimeVaryingBSplineVelocityFieldTransform< TScalar, NDimensions >, itk::CenteredRigid2DTransform< TScalarType >, itk::ScalableAffineTransform< TScalarType, NDimensions >, itkv3::Rigid3DTransform< TScalarType >, itk::CenteredEuler3DTransform< TScalarType >, itk::CenteredAffineTransform< TScalarType, NDimensions >, and itk::Euler2DTransform< TScalarType >.

Definition at line 432 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]
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.

Reimplemented in itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, itk::BSplineTransform< TScalarType, NDimensions, VSplineOrder >, itk::AffineTransform< TScalarType, NDimensions >, itk::CompositeTransform< TScalar, NDimensions >, itk::AzimuthElevationToCartesianTransform< TScalarType, NDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >, itk::Similarity2DTransform< TScalarType >, itk::TimeVaryingBSplineVelocityFieldTransform< TScalar, NDimensions >, itk::KernelTransform< TScalarType, NDimensions >, itkv3::Rigid3DTransform< TScalarType >, itk::CenteredSimilarity2DTransform< TScalarType >, itk::Rigid2DTransform< TScalarType >, itk::CenteredRigid2DTransform< TScalarType >, itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >, itk::Rigid3DPerspectiveTransform< TScalarType >, itk::Rigid3DTransform< TScalarType >, itk::IdentityTransform< TScalarType, NDimensions >, itk::QuaternionRigidTransform< TScalarType >, itk::ScaleSkewVersor3DTransform< TScalarType >, itk::BSplineSmoothingOnUpdateDisplacementFieldTransform< TScalar, NDimensions >, itk::Euler3DTransform< TScalarType >, itk::ScaleTransform< TScalarType, NDimensions >, itk::Similarity3DTransform< TScalarType >, itk::TranslationTransform< TScalarType, NDimensions >, itk::VersorRigid3DTransform< TScalarType >, itk::ScaleVersor3DTransform< TScalarType >, itk::VersorTransform< TScalarType >, itk::GaussianSmoothingOnUpdateDisplacementFieldTransform< TScalar, NDimensions >, itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::Euler2DTransform< TScalarType >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::ScaleLogarithmicTransform< TScalarType, NDimensions >, itk::CenteredEuler3DTransform< TScalarType >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, itk::GaussianSmoothingOnUpdateTimeVaryingVelocityFieldTransform< TScalar, NDimensions >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >, itk::CenteredAffineTransform< TScalarType, NDimensions >, itk::FixedCenterOfRotationAffineTransform< TScalarType, NDimensions >, itk::ScalableAffineTransform< TScalarType, NDimensions >, and itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >.

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

Definition at line 413 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]
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 109 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]
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 595 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 602 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 609 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::CompositeTransform< TScalar, NDimensions >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::BSplineTransform< TScalarType, NDimensions, VSplineOrder >, and itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >.

Definition at line 474 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
virtual LightObject::Pointer itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::InternalClone ( ) const [protected, virtual]
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.

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

Definition at line 466 of file itkTransform.h.

template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::itkCloneMacro ( Self  )
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.

Reimplemented in itk::CompositeTransform< TScalar, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NInputDimensions, NOutputDimensions >, itk::MatrixOffsetTransformBase< TScalarType, NDimensions, NDimensions >, itk::MatrixOffsetTransformBase< TScalarType, 2, 2 >, itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >, itk::DisplacementFieldTransform< TScalar, NDimensions >, itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >, itk::KernelTransform< TScalarType, NDimensions >, itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, itk::AffineTransform< TScalarType, NDimensions >, itk::BSplineTransform< TScalarType, NDimensions, VSplineOrder >, itk::Rigid2DTransform< TScalarType >, itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >, itk::IdentityTransform< TScalarType, NDimensions >, itk::Rigid3DPerspectiveTransform< TScalarType >, itk::ScaleTransform< TScalarType, NDimensions >, itk::Similarity2DTransform< TScalarType >, itk::TranslationTransform< TScalarType, NDimensions >, itk::AzimuthElevationToCartesianTransform< TScalarType, NDimensions >, itk::Rigid3DTransform< TScalarType >, itk::TimeVaryingBSplineVelocityFieldTransform< TScalar, NDimensions >, itk::BSplineSmoothingOnUpdateDisplacementFieldTransform< TScalar, NDimensions >, itk::CenteredSimilarity2DTransform< TScalarType >, itk::CenteredRigid2DTransform< TScalarType >, itk::ScalableAffineTransform< TScalarType, NDimensions >, itk::VersorTransform< TScalarType >, itk::ScaleSkewVersor3DTransform< TScalarType >, itk::QuaternionRigidTransform< TScalarType >, itk::ScaleVersor3DTransform< TScalarType >, itk::Similarity3DTransform< TScalarType >, itk::Euler3DTransform< TScalarType >, itk::GaussianSmoothingOnUpdateTimeVaryingVelocityFieldTransform< TScalar, NDimensions >, itkv3::Rigid3DTransform< TScalarType >, itk::GaussianSmoothingOnUpdateDisplacementFieldTransform< TScalar, NDimensions >, itk::CenteredEuler3DTransform< TScalarType >, itk::Euler2DTransform< TScalarType >, itk::VersorRigid3DTransform< TScalarType >, itk::CenteredAffineTransform< TScalarType, NDimensions >, itk::ScaleLogarithmicTransform< TScalarType, NDimensions >, itk::FixedCenterOfRotationAffineTransform< TScalarType, NDimensions >, itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >, and itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >.

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 192 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]
template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
virtual void itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::SetParameters ( const ParametersType ) [pure virtual]
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 373 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 ) const [inline, virtual]
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]
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 OutputDiffusionTensor3DType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformDiffusionTensor3D ( const InputDiffusionTensor3DType ) const [inline, 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 OutputVectorPixelType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformDiffusionTensor3D ( const InputVectorPixelType ) const [inline, virtual]
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 OutputPointType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformPoint ( const InputPointType ) const [pure virtual]
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]
template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
virtual OutputVectorPixelType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformSymmetricSecondRankTensor ( const InputVectorPixelType ) const [inline, virtual]
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 OutputVectorType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformVector ( const InputVectorType ) const [inline, virtual]
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 ) const [inline, virtual]
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 OutputVectorPixelType itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::TransformVector ( const InputVectorPixelType ) const [inline, virtual]
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 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]
template<class TScalarType, unsigned int NInputDimensions = 3, unsigned int NOutputDimensions = 3>
DirectionChangeMatrix itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >::m_DirectionChange [mutable, protected]

Definition at line 589 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 578 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 577 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]

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