ITK  4.2.0
Insight Segmentation and Registration Toolkit
Public Types | Public Member Functions | Static Public Member Functions | Static Public Attributes | Protected Member Functions | Protected Attributes | Private Member Functions
itk::KernelTransform< TScalarType, NDimensions > Class Template Reference
Module ITKTransform

#include <itkKernelTransform.h>

+ Inheritance diagram for itk::KernelTransform< TScalarType, NDimensions >:
+ Collaboration diagram for itk::KernelTransform< TScalarType, NDimensions >:

List of all members.

Public Types

typedef vnl_matrix_fixed
< TScalarType, NDimensions,
NDimensions > 		AMatrixType
typedef vnl_vector_fixed
< TScalarType, NDimensions > 		BMatrixType
typedef vnl_matrix_fixed
< TScalarType, NDimensions, 1 > 		ColumnMatrixType
typedef SmartPointer< const Self > ConstPointer
typedef vnl_matrix< TScalarType > DMatrixType
typedef vnl_matrix_fixed
< TScalarType, NDimensions,
NDimensions > 		GMatrixType
typedef vnl_matrix_fixed
< TScalarType, NDimensions,
NDimensions > 		IMatrixType
typedef
Superclass::InputCovariantVectorType 		InputCovariantVectorType
typedef Superclass::InputPointType InputPointType
typedef Superclass::InputVectorType InputVectorType
typedef
Superclass::InputVnlVectorType 		InputVnlVectorType
typedef Superclass::JacobianType JacobianType
typedef vnl_matrix< TScalarType > KMatrixType
typedef vnl_matrix< TScalarType > LMatrixType
typedef
Superclass::OutputCovariantVectorType 		OutputCovariantVectorType
typedef Superclass::OutputPointType OutputPointType
typedef
Superclass::OutputVectorType 		OutputVectorType
typedef
Superclass::OutputVnlVectorType 		OutputVnlVectorType
typedef Superclass::ParametersType ParametersType
typedef vnl_matrix< TScalarType > PMatrixType
typedef SmartPointer< Self > Pointer
typedef
PointSetType::PointIdentifier 		PointIdentifier
typedef
PointSetType::PointsContainerConstIterator 		PointsConstIterator
typedef
PointSetType::PointsContainer 		PointsContainer
typedef PointSetType::Pointer PointSetPointer
typedef
DefaultStaticMeshTraits
< TScalarType, NDimensions,
NDimensions, TScalarType,
TScalarType > 		PointSetTraitsType
typedef PointSet
< InputPointType, NDimensions,
PointSetTraitsType > 		PointSetType
typedef
PointSetType::PointsContainerIterator 		PointsIterator
typedef vnl_matrix_fixed
< TScalarType, 1, NDimensions > 		RowMatrixType
typedef Superclass::ScalarType ScalarType
typedef KernelTransform Self
typedef Transform< TScalarType,
NDimensions, NDimensions > 		Superclass
typedef VectorSetType::Pointer VectorSetPointer
typedef itk::VectorContainer
< SizeValueType,
InputVectorType > 		VectorSetType
typedef vnl_matrix< TScalarType > WMatrixType
typedef vnl_matrix< TScalarType > YMatrixType
- Public Types inherited from itk::Transform< TScalarType, NDimensions, NDimensions >
typedef Array
< ParametersValueType > 		DerivativeType
typedef Matrix< double,
itkGetStaticConstMacro(OutputSpaceDimension),
itkGetStaticConstMacro(InputSpaceDimension)> 		DirectionChangeMatrix
typedef DiffusionTensor3D
< TScalarType > 		InputDiffusionTensor3DType
typedef Matrix< double,
itkGetStaticConstMacro(InputSpaceDimension),
itkGetStaticConstMacro(InputSpaceDimension)> 		InputDirectionMatrix
typedef
SymmetricSecondRankTensor
< TScalarType,
NInputDimensions > 		InputSymmetricSecondRankTensorType
typedef VariableLengthVector
< TScalarType > 		InputVectorPixelType
typedef
InverseTransformBaseType::Pointer 		InverseTransformBasePointer
typedef Transform< TScalarType,
NOutputDimensions,
NInputDimensions > 		InverseTransformBaseType
typedef Matrix< TScalarType,
itkGetStaticConstMacro(OutputSpaceDimension),
itkGetStaticConstMacro(InputSpaceDimension)> 		MatrixType
typedef
Superclass::NumberOfParametersType 		NumberOfParametersType
typedef DiffusionTensor3D
< TScalarType > 		OutputDiffusionTensor3DType
typedef Matrix< double,
itkGetStaticConstMacro(OutputSpaceDimension),
itkGetStaticConstMacro(OutputSpaceDimension)> 		OutputDirectionMatrix
typedef
SymmetricSecondRankTensor
< TScalarType,
NOutputDimensions > 		OutputSymmetricSecondRankTensorType
typedef VariableLengthVector
< TScalarType > 		OutputVectorPixelType
typedef
Superclass::ParametersValueType 		ParametersValueType
- Public Types inherited from itk::TransformBase
- Public Types inherited from itk::Object
- Public Types inherited from itk::LightObject

Public Member Functions

virtual void ComputeJacobianWithRespectToParameters (const InputPointType &p, JacobianType &jacobian) const
virtual void ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianType &) const
void ComputeWMatrix (void)
virtual ::itk::LightObject::Pointer CreateAnother (void) const
virtual VectorSetType * GetDisplacements ()
virtual const ParametersType & GetFixedParameters (void) const
virtual const char * GetNameOfClass () const
virtual const ParametersType & GetParameters (void) const
virtual PointSetType * GetSourceLandmarks ()
virtual PointSetType * GetTargetLandmarks ()
virtual bool IsLinear () const
virtual void SetFixedParameters (const ParametersType &)
virtual void SetParameters (const ParametersType &)
virtual void SetSourceLandmarks (PointSetType *)
virtual void SetTargetLandmarks (PointSetType *)
virtual OutputPointType TransformPoint (const InputPointType &thisPoint) const
virtual OutputVnlVectorType TransformVector (const InputVnlVectorType &) const
virtual void UpdateParameters (void) const
virtual OutputVectorType TransformVector (const InputVectorType &) const
virtual OutputCovariantVectorType TransformCovariantVector (const InputCovariantVectorType &) const
- Public Member Functions inherited from itk::Transform< TScalarType, NDimensions, NDimensions >
virtual void ComputeInverseJacobianWithRespectToPosition (const InputPointType &x, JacobianType &jacobian) const
virtual void ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianType &) const
unsigned int GetInputSpaceDimension (void) const
bool GetInverse (Self *) const
virtual InverseTransformBasePointer GetInverseTransform () const
virtual NumberOfParametersType GetNumberOfLocalParameters (void) const
virtual NumberOfParametersType GetNumberOfParameters (void) const
unsigned int GetOutputSpaceDimension (void) const
virtual std::string GetTransformTypeAsString () const
virtual bool HasLocalSupport () const
 itkCloneMacro (Self)
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 (const DerivativeType &update, TScalarType factor=1.0)
virtual void ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &) const

Static Public Member Functions

static Pointer New ()

Static Public Attributes

static const unsigned int SpaceDimension = NDimensions
- Static Public Attributes inherited from itk::Transform< TScalarType, NDimensions, NDimensions >
static const unsigned int InputSpaceDimension
static const unsigned int OutputSpaceDimension

Protected Member Functions

void ComputeD ()
virtual void ComputeDeformationContribution (const InputPointType &inputPoint, OutputPointType &result) const
virtual void ComputeG (const InputVectorType &landmarkVector, GMatrixType &gmatrix) const
void ComputeK ()
void ComputeL ()
void ComputeP ()
virtual const GMatrixType & ComputeReflexiveG (PointsIterator) const
void ComputeY ()
void ReorganizeW (void)
- Protected Member Functions inherited from itk::Transform< TScalarType, NDimensions, NDimensions >
virtual LightObject::Pointer InternalClone () const
OutputDiffusionTensor3DType PreservationOfPrincipalDirectionDiffusionTensor3DReorientation (const InputDiffusionTensor3DType, const JacobianType) const
 Transform ()
 Transform (NumberOfParametersType NumberOfParameters)
virtual ~Transform ()
- Protected Member Functions inherited from itk::TransformBase
 TransformBase ()
virtual ~TransformBase ()
- Protected Member Functions inherited from itk::Object
 Object ()
bool PrintObservers (std::ostream &os, Indent indent) const
virtual void SetTimeStamp (const TimeStamp &time)
virtual ~Object ()
- Protected Member Functions inherited from itk::LightObject
 LightObject ()
virtual void PrintHeader (std::ostream &os, Indent indent) const
virtual void PrintTrailer (std::ostream &os, Indent indent) const
virtual ~LightObject ()

Protected Attributes

AMatrixType m_AMatrix
BMatrixType m_BVector
VectorSetPointer m_Displacements
DMatrixType m_DMatrix
GMatrixType m_GMatrix
IMatrixType m_I
KMatrixType m_KMatrix
LMatrixType m_LMatrix
PMatrixType m_PMatrix
PointSetPointer m_SourceLandmarks
double m_Stiffness
PointSetPointer m_TargetLandmarks
WMatrixType m_WMatrix
bool m_WMatrixComputed
YMatrixType m_YMatrix
- Protected Attributes inherited from itk::Transform< TScalarType, NDimensions, NDimensions >
DirectionChangeMatrix m_DirectionChange
ParametersType m_FixedParameters
ParametersType m_Parameters

Private Member Functions

 KernelTransform (const Self &)
void operator= (const Self &)
virtual void SetStiffness (double _arg)
virtual double GetStiffness () const
 KernelTransform ()
virtual ~KernelTransform ()
void PrintSelf (std::ostream &os, Indent indent) const

Detailed Description

template<class TScalarType, unsigned int NDimensions>
class itk::KernelTransform< TScalarType, NDimensions >

Intended to be a base class for elastic body spline and thin plate spline. This is implemented in as straightforward a manner as possible from the IEEE TMI paper by Davis, Khotanzad, Flamig, and Harms, Vol. 16, No. 3 June 1997. Notation closely follows their paper, so if you have it in front of you, this code will make a lot more sense.

KernelTransform: Provides support for defining source and target landmarks Defines a number of data types used in the computations Defines the mathematical framework used to compute all splines, so that subclasses need only provide a kernel specific to that spline

This formulation allows the stiffness of the spline to be adjusted, allowing the spline to vary from interpolating the landmarks to approximating the landmarks. This part of the formulation is based on the short paper by R. Sprengel, K. Rohr, H. Stiehl. "Thin-Plate Spline Approximation for Image Registration". In 18th International Conference of the IEEE Engineering in Medicine and Biology Society. 1996.

Definition at line 63 of file itkKernelTransform.h.

Member Typedef Documentation

template<class TScalarType , unsigned int NDimensions>
typedef vnl_matrix_fixed<TScalarType, NDimensions, NDimensions> itk::KernelTransform< TScalarType, NDimensions >::AMatrixType

'A' matrix typedef. Rotational part of the Affine component

Definition at line 252 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef vnl_vector_fixed<TScalarType, NDimensions> itk::KernelTransform< TScalarType, NDimensions >::BMatrixType

'B' matrix typedef. Translational part of the Affine component

Definition at line 255 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef vnl_matrix_fixed<TScalarType, NDimensions, 1> itk::KernelTransform< TScalarType, NDimensions >::ColumnMatrixType

Column matrix typedef.

Definition at line 261 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef SmartPointer<const Self> itk::KernelTransform< TScalarType, NDimensions >::ConstPointer

Reimplemented from itk::Transform< TScalarType, NDimensions, NDimensions >.

Reimplemented in itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, and itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >.

Definition at line 71 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef vnl_matrix<TScalarType> itk::KernelTransform< TScalarType, NDimensions >::DMatrixType

'D' matrix typedef. Deformation component

Definition at line 249 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef vnl_matrix_fixed<TScalarType, NDimensions, NDimensions> itk::KernelTransform< TScalarType, NDimensions >::GMatrixType

'G' matrix typedef.

Reimplemented in itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >, and itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >.

Definition at line 231 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef vnl_matrix_fixed<TScalarType, NDimensions, NDimensions> itk::KernelTransform< TScalarType, NDimensions >::IMatrixType

'I' (identity) matrix typedef.

Definition at line 169 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef Superclass::InputCovariantVectorType itk::KernelTransform< TScalarType, NDimensions >::InputCovariantVectorType

Standard covariant vector type for this class

Reimplemented from itk::Transform< TScalarType, NDimensions, NDimensions >.

Reimplemented in itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, and itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >.

Definition at line 100 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef Superclass::InputPointType itk::KernelTransform< TScalarType, NDimensions >::InputPointType

Standard coordinate point type for this class.

Reimplemented from itk::Transform< TScalarType, NDimensions, NDimensions >.

Reimplemented in itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, and itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >.

Definition at line 92 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef Superclass::InputVectorType itk::KernelTransform< TScalarType, NDimensions >::InputVectorType

Standard vector type for this class.

Reimplemented from itk::Transform< TScalarType, NDimensions, NDimensions >.

Reimplemented in itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, and itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >.

Definition at line 96 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef Superclass::InputVnlVectorType itk::KernelTransform< TScalarType, NDimensions >::InputVnlVectorType

Standard vnl_vector type for this class.

Reimplemented from itk::Transform< TScalarType, NDimensions, NDimensions >.

Definition at line 104 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef Superclass::JacobianType itk::KernelTransform< TScalarType, NDimensions >::JacobianType

Jacobian type.

Reimplemented from itk::Transform< TScalarType, NDimensions, NDimensions >.

Reimplemented in itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, and itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >.

Definition at line 89 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef vnl_matrix<TScalarType> itk::KernelTransform< TScalarType, NDimensions >::KMatrixType

'K' matrix typedef.

Definition at line 237 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef vnl_matrix<TScalarType> itk::KernelTransform< TScalarType, NDimensions >::LMatrixType

'L' matrix typedef.

Definition at line 234 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef Superclass::OutputCovariantVectorType itk::KernelTransform< TScalarType, NDimensions >::OutputCovariantVectorType

Reimplemented from itk::Transform< TScalarType, NDimensions, NDimensions >.

Reimplemented in itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, and itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >.

Definition at line 101 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef Superclass::OutputPointType itk::KernelTransform< TScalarType, NDimensions >::OutputPointType

Reimplemented from itk::Transform< TScalarType, NDimensions, NDimensions >.

Reimplemented in itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, and itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >.

Definition at line 93 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef Superclass::OutputVectorType itk::KernelTransform< TScalarType, NDimensions >::OutputVectorType

Reimplemented from itk::Transform< TScalarType, NDimensions, NDimensions >.

Reimplemented in itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, and itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >.

Definition at line 97 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef Superclass::OutputVnlVectorType itk::KernelTransform< TScalarType, NDimensions >::OutputVnlVectorType

Reimplemented from itk::Transform< TScalarType, NDimensions, NDimensions >.

Definition at line 105 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef Superclass::ParametersType itk::KernelTransform< TScalarType, NDimensions >::ParametersType

Parameters type.

Reimplemented from itk::Transform< TScalarType, NDimensions, NDimensions >.

Reimplemented in itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, and itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >.

Definition at line 86 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef vnl_matrix<TScalarType> itk::KernelTransform< TScalarType, NDimensions >::PMatrixType

'P' matrix typedef.

Definition at line 240 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef SmartPointer<Self> itk::KernelTransform< TScalarType, NDimensions >::Pointer

Reimplemented from itk::Transform< TScalarType, NDimensions, NDimensions >.

Reimplemented in itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, and itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >.

Definition at line 70 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef PointSetType::PointIdentifier itk::KernelTransform< TScalarType, NDimensions >::PointIdentifier

Definition at line 116 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef PointSetType::PointsContainerConstIterator itk::KernelTransform< TScalarType, NDimensions >::PointsConstIterator

Definition at line 115 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef PointSetType::PointsContainer itk::KernelTransform< TScalarType, NDimensions >::PointsContainer

Definition at line 113 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef PointSetType::Pointer itk::KernelTransform< TScalarType, NDimensions >::PointSetPointer

Definition at line 112 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef DefaultStaticMeshTraits<TScalarType, NDimensions, NDimensions, TScalarType, TScalarType> itk::KernelTransform< TScalarType, NDimensions >::PointSetTraitsType

PointList typedef. This type is used for maintaining lists of points, specifically, the source and target landmark lists.

Definition at line 109 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef PointSet<InputPointType, NDimensions, PointSetTraitsType> itk::KernelTransform< TScalarType, NDimensions >::PointSetType

Definition at line 110 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef PointSetType::PointsContainerIterator itk::KernelTransform< TScalarType, NDimensions >::PointsIterator

Reimplemented in itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, and itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >.

Definition at line 114 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef vnl_matrix_fixed<TScalarType, 1, NDimensions> itk::KernelTransform< TScalarType, NDimensions >::RowMatrixType

Row matrix typedef.

Definition at line 258 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef Superclass::ScalarType itk::KernelTransform< TScalarType, NDimensions >::ScalarType

Scalar type.

Reimplemented from itk::Transform< TScalarType, NDimensions, NDimensions >.

Reimplemented in itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, and itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >.

Definition at line 83 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef KernelTransform itk::KernelTransform< TScalarType, NDimensions >::Self

Standard class typedefs.

Reimplemented from itk::Transform< TScalarType, NDimensions, NDimensions >.

Reimplemented in itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, and itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >.

Definition at line 68 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef Transform<TScalarType, NDimensions, NDimensions> itk::KernelTransform< TScalarType, NDimensions >::Superclass

Reimplemented from itk::Transform< TScalarType, NDimensions, NDimensions >.

Reimplemented in itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, and itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >.

Definition at line 69 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef VectorSetType::Pointer itk::KernelTransform< TScalarType, NDimensions >::VectorSetPointer

Definition at line 120 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef itk::VectorContainer<SizeValueType, InputVectorType> itk::KernelTransform< TScalarType, NDimensions >::VectorSetType

VectorSet typedef.

Definition at line 119 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef vnl_matrix<TScalarType> itk::KernelTransform< TScalarType, NDimensions >::WMatrixType

'W' matrix typedef.

Definition at line 246 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
typedef vnl_matrix<TScalarType> itk::KernelTransform< TScalarType, NDimensions >::YMatrixType

'Y' matrix typedef.

Definition at line 243 of file itkKernelTransform.h.

Constructor & Destructor Documentation

template<class TScalarType , unsigned int NDimensions>
itk::KernelTransform< TScalarType, NDimensions >::KernelTransform ( )
protected

Stiffness of the spline. A stiffness of zero results in the standard interpolating spline. A non-zero stiffness allows the spline to approximate rather than interpolate the landmarks. Stiffness values are usually rather small, typically in the range of 0.001 to 0.1. The approximating spline formulation is based on the short paper by R. Sprengel, K. Rohr, H. Stiehl. "Thin-Plate Spline Approximation for Image Registration". In 18th International Conference of the IEEE Engineering in Medicine and Biology Society. 1996.

template<class TScalarType , unsigned int NDimensions>
virtual itk::KernelTransform< TScalarType, NDimensions >::~KernelTransform ( )
protectedvirtual

Stiffness of the spline. A stiffness of zero results in the standard interpolating spline. A non-zero stiffness allows the spline to approximate rather than interpolate the landmarks. Stiffness values are usually rather small, typically in the range of 0.001 to 0.1. The approximating spline formulation is based on the short paper by R. Sprengel, K. Rohr, H. Stiehl. "Thin-Plate Spline Approximation for Image Registration". In 18th International Conference of the IEEE Engineering in Medicine and Biology Society. 1996.

template<class TScalarType , unsigned int NDimensions>
itk::KernelTransform< TScalarType, NDimensions >::KernelTransform ( const Self &  )
private

Member Function Documentation

template<class TScalarType , unsigned int NDimensions>
void itk::KernelTransform< TScalarType, NDimensions >::ComputeD ( )
protected

Compute displacements $ q_i - p_i $.

template<class TScalarType , unsigned int NDimensions>
virtual void itk::KernelTransform< TScalarType, NDimensions >::ComputeDeformationContribution ( const InputPointType &  inputPoint,
OutputPointType &  result 
) const
protectedvirtual

Compute the contribution of the landmarks weighted by the kernel funcion to the global deformation of the space

Reimplemented in itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >, and itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >.

template<class TScalarType , unsigned int NDimensions>
virtual void itk::KernelTransform< TScalarType, NDimensions >::ComputeG ( const InputVectorType &  landmarkVector,
GMatrixType &  gmatrix 
) const
protectedvirtual

Compute G(x) This is essentially the kernel of the transform. By overriding this method, we can obtain (among others): Elastic body spline Thin plate spline Volume spline

Reimplemented in itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >, and itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >.

template<class TScalarType , unsigned int NDimensions>
virtual void itk::KernelTransform< TScalarType, NDimensions >::ComputeJacobianWithRespectToParameters ( const InputPointType &  p,
JacobianType &  jacobian 
) const
virtual

Compute the Jacobian Matrix of the transformation at one point

template<class TScalarType , unsigned int NDimensions>
virtual void itk::KernelTransform< TScalarType, NDimensions >::ComputeJacobianWithRespectToPosition ( const InputPointType &  ,
JacobianType &   
) const
inlinevirtual

Definition at line 174 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
void itk::KernelTransform< TScalarType, NDimensions >::ComputeK ( )
protected

Compute K matrix.

template<class TScalarType , unsigned int NDimensions>
void itk::KernelTransform< TScalarType, NDimensions >::ComputeL ( )
protected

Compute L matrix.

template<class TScalarType , unsigned int NDimensions>
void itk::KernelTransform< TScalarType, NDimensions >::ComputeP ( )
protected

Compute P matrix.

template<class TScalarType , unsigned int NDimensions>
virtual const GMatrixType& itk::KernelTransform< TScalarType, NDimensions >::ComputeReflexiveG ( PointsIterator  ) const
protectedvirtual

Compute a G(x) for a point to itself (i.e. for the block diagonal elements of the matrix K. Parameter indicates for which landmark the reflexive G is to be computed. The default implementation for the reflexive contribution is a diagonal matrix where the diagonal elements are the stiffness of the spline.

Warning:
this method is not thread-safe. However this method is called only through ComputeWMatrix() that is itself normally called from a single thread during the initialization of the Transform.
template<class TScalarType , unsigned int NDimensions>
void itk::KernelTransform< TScalarType, NDimensions >::ComputeWMatrix ( void  )

Compute W matrix.

template<class TScalarType , unsigned int NDimensions>
void itk::KernelTransform< TScalarType, NDimensions >::ComputeY ( )
protected

Compute Y matrix.

template<class TScalarType , unsigned int NDimensions>
virtual::itk::LightObject::Pointer itk::KernelTransform< TScalarType, NDimensions >::CreateAnother ( void  ) const
virtual

Create an object from an instance, potentially deferring to a factory. This method allows you to create an instance of an object that is exactly the same type as the referring object. This is useful in cases where an object has been cast back to a base class.

Reimplemented from itk::Object.

Reimplemented in itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, and itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >.

template<class TScalarType , unsigned int NDimensions>
virtual VectorSetType* itk::KernelTransform< TScalarType, NDimensions >::GetDisplacements ( )
virtual

Get the displacements list, which we will denote $ d $, where $ d_i = q_i - p_i $.

template<class TScalarType , unsigned int NDimensions>
virtual const ParametersType& itk::KernelTransform< TScalarType, NDimensions >::GetFixedParameters ( void  ) const
virtual

Get Transform Fixed Parameters - Gets the Target Landmarks

Reimplemented from itk::Transform< TScalarType, NDimensions, NDimensions >.

template<class TScalarType , unsigned int NDimensions>
virtual const char* itk::KernelTransform< TScalarType, NDimensions >::GetNameOfClass ( ) const
virtual

Run-time type information (and related methods).

Reimplemented from itk::Transform< TScalarType, NDimensions, NDimensions >.

Reimplemented in itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, and itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >.

template<class TScalarType , unsigned int NDimensions>
virtual const ParametersType& itk::KernelTransform< TScalarType, NDimensions >::GetParameters ( void  ) const
virtual

Get the Transformation Parameters - Gets the Source Landmarks

Reimplemented from itk::Transform< TScalarType, NDimensions, NDimensions >.

template<class TScalarType , unsigned int NDimensions>
virtual PointSetType* itk::KernelTransform< TScalarType, NDimensions >::GetSourceLandmarks ( )
virtual

Get the source landmarks list, which we will denote $ p $.

template<class TScalarType , unsigned int NDimensions>
virtual double itk::KernelTransform< TScalarType, NDimensions >::GetStiffness ( ) const
virtual

Stiffness of the spline. A stiffness of zero results in the standard interpolating spline. A non-zero stiffness allows the spline to approximate rather than interpolate the landmarks. Stiffness values are usually rather small, typically in the range of 0.001 to 0.1. The approximating spline formulation is based on the short paper by R. Sprengel, K. Rohr, H. Stiehl. "Thin-Plate Spline Approximation for Image Registration". In 18th International Conference of the IEEE Engineering in Medicine and Biology Society. 1996.

template<class TScalarType , unsigned int NDimensions>
virtual PointSetType* itk::KernelTransform< TScalarType, NDimensions >::GetTargetLandmarks ( )
virtual

Get the target landmarks list, which we will denote $ q $.

template<class TScalarType , unsigned int NDimensions>
virtual bool itk::KernelTransform< TScalarType, NDimensions >::IsLinear ( ) const
inlinevirtual

This transform is not linear, because the transformation of a linear combination of points is not equal to the linear combination of the transformations of individual points

Reimplemented from itk::Transform< TScalarType, NDimensions, NDimensions >.

Definition at line 206 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
static Pointer itk::KernelTransform< TScalarType, NDimensions >::New ( )
static

New macro for creation of through a Smart Pointer

Reimplemented from itk::Object.

Reimplemented in itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, and itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >.

template<class TScalarType , unsigned int NDimensions>
void itk::KernelTransform< TScalarType, NDimensions >::operator= ( const Self &  )
private

Mutex lock to protect modification to the reference count

Reimplemented from itk::Transform< TScalarType, NDimensions, NDimensions >.

Reimplemented in 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 NDimensions>
void itk::KernelTransform< TScalarType, NDimensions >::PrintSelf ( std::ostream &  os,
Indent  indent 
) const
protectedvirtual

Stiffness of the spline. A stiffness of zero results in the standard interpolating spline. A non-zero stiffness allows the spline to approximate rather than interpolate the landmarks. Stiffness values are usually rather small, typically in the range of 0.001 to 0.1. The approximating spline formulation is based on the short paper by R. Sprengel, K. Rohr, H. Stiehl. "Thin-Plate Spline Approximation for Image Registration". In 18th International Conference of the IEEE Engineering in Medicine and Biology Society. 1996.

Reimplemented from itk::Object.

Reimplemented in itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, and itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >.

template<class TScalarType , unsigned int NDimensions>
void itk::KernelTransform< TScalarType, NDimensions >::ReorganizeW ( void  )
protected

Reorganize the components of W into D (deformable), A (rotation part of affine) and B (translational part of affine ) components.

Warning:
This method release the memory of the W Matrix
template<class TScalarType , unsigned int NDimensions>
virtual void itk::KernelTransform< TScalarType, NDimensions >::SetFixedParameters ( const ParametersType &  )
virtual

Set Transform Fixed Parameters: To support the transform file writer this function was added to set the target landmarks similar to the SetParameters function setting the source landmarks

template<class TScalarType , unsigned int NDimensions>
virtual void itk::KernelTransform< TScalarType, NDimensions >::SetParameters ( const ParametersType &  )
virtual

Set the Transformation Parameters and update the internal transformation. The parameters represent the source landmarks. Each landmark point is represented by NDimensions doubles. All the landmarks are concatenated to form one flat Array<double>.

template<class TScalarType , unsigned int NDimensions>
virtual void itk::KernelTransform< TScalarType, NDimensions >::SetSourceLandmarks ( PointSetType *  )
virtual

Set the source landmarks list.

template<class TScalarType , unsigned int NDimensions>
virtual void itk::KernelTransform< TScalarType, NDimensions >::SetStiffness ( double  _arg)
virtual

Stiffness of the spline. A stiffness of zero results in the standard interpolating spline. A non-zero stiffness allows the spline to approximate rather than interpolate the landmarks. Stiffness values are usually rather small, typically in the range of 0.001 to 0.1. The approximating spline formulation is based on the short paper by R. Sprengel, K. Rohr, H. Stiehl. "Thin-Plate Spline Approximation for Image Registration". In 18th International Conference of the IEEE Engineering in Medicine and Biology Society. 1996.

template<class TScalarType , unsigned int NDimensions>
virtual void itk::KernelTransform< TScalarType, NDimensions >::SetTargetLandmarks ( PointSetType *  )
virtual

Set the target landmarks list.

template<class TScalarType , unsigned int NDimensions>
virtual OutputCovariantVectorType itk::KernelTransform< TScalarType, NDimensions >::TransformCovariantVector ( const InputCovariantVectorType &  ) const
inlinevirtual

Definition at line 161 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
virtual OutputPointType itk::KernelTransform< TScalarType, NDimensions >::TransformPoint ( const InputPointType &  thisPoint) const
virtual

Compute the position of point in the new space

template<class TScalarType , unsigned int NDimensions>
virtual OutputVectorType itk::KernelTransform< TScalarType, NDimensions >::TransformVector ( const InputVectorType &  ) const
inlinevirtual

Definition at line 146 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
virtual OutputVnlVectorType itk::KernelTransform< TScalarType, NDimensions >::TransformVector ( const InputVnlVectorType &  ) const
inlinevirtual

Definition at line 153 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
virtual void itk::KernelTransform< TScalarType, NDimensions >::UpdateParameters ( void  ) const
virtual

Update the Parameters array from the landmarks corrdinates.

Member Data Documentation

template<class TScalarType , unsigned int NDimensions>
AMatrixType itk::KernelTransform< TScalarType, NDimensions >::m_AMatrix
protected

Rotatinoal/Shearing part of the Affine component of the Transformation

Definition at line 338 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
BMatrixType itk::KernelTransform< TScalarType, NDimensions >::m_BVector
protected

Translational part of the Affine component of the Transformation

Definition at line 341 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
VectorSetPointer itk::KernelTransform< TScalarType, NDimensions >::m_Displacements
protected

The list of displacements. d[i] = q[i] - p[i];

Definition at line 313 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
DMatrixType itk::KernelTransform< TScalarType, NDimensions >::m_DMatrix
protected

The Deformation matrix. This is an auxiliary matrix that will hold the Deformation (non-affine) part of the transform. Those are the coefficients that will multiply the Kernel function

Definition at line 335 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
GMatrixType itk::KernelTransform< TScalarType, NDimensions >::m_GMatrix
mutableprotected

The G matrix. It is made mutable because m_GMatrix was made an ivar only to avoid copying the matrix at return time

Definition at line 346 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
IMatrixType itk::KernelTransform< TScalarType, NDimensions >::m_I
protected

Identity matrix.

Definition at line 352 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
KMatrixType itk::KernelTransform< TScalarType, NDimensions >::m_KMatrix
protected

The K matrix.

Definition at line 319 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
LMatrixType itk::KernelTransform< TScalarType, NDimensions >::m_LMatrix
protected

The L matrix.

Definition at line 316 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
PMatrixType itk::KernelTransform< TScalarType, NDimensions >::m_PMatrix
protected

The P matrix.

Definition at line 322 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
PointSetPointer itk::KernelTransform< TScalarType, NDimensions >::m_SourceLandmarks
protected

The list of source landmarks, denoted 'p'.

Definition at line 355 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
double itk::KernelTransform< TScalarType, NDimensions >::m_Stiffness
protected

Stiffness parameter

Definition at line 309 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
PointSetPointer itk::KernelTransform< TScalarType, NDimensions >::m_TargetLandmarks
protected

The list of target landmarks, denoted 'q'.

Definition at line 358 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
WMatrixType itk::KernelTransform< TScalarType, NDimensions >::m_WMatrix
protected

The W matrix.

Definition at line 328 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
bool itk::KernelTransform< TScalarType, NDimensions >::m_WMatrixComputed
protected

Has the W matrix been computed?

Definition at line 349 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
YMatrixType itk::KernelTransform< TScalarType, NDimensions >::m_YMatrix
protected

The Y matrix.

Definition at line 325 of file itkKernelTransform.h.

template<class TScalarType , unsigned int NDimensions>
const unsigned int itk::KernelTransform< TScalarType, NDimensions >::SpaceDimension = NDimensions
static

Dimension of the domain space.

Reimplemented in itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >, itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >, itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >, itk::VolumeSplineKernelTransform< TScalarType, NDimensions >, and itk::ThinPlateSplineKernelTransform< TScalarType, NDimensions >.

Definition at line 80 of file itkKernelTransform.h.

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