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itk::KernelTransform< TScalarType, NDimensions > Class Template Reference
[Transforms]

#include <itkKernelTransform.h>

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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 SelfConstPointer
typedef vnl_matrix< TScalarType > DMatrixType
typedef vnl_matrix_fixed
< TScalarType, NDimensions,
NDimensions > 
GMatrixType
typedef vnl_matrix_fixed
< TScalarType, NDimensions,
NDimensions > 
IMatrixType
typedef CovariantVector
< TScalarType,
NInputDimensions > 
InputCovariantVectorType
typedef Superclass::InputPointType InputPointType
typedef Superclass::InputVectorType InputVectorType
typedef vnl_vector_fixed
< TScalarType,
NInputDimensions > 
InputVnlVectorType
typedef
InverseTransformBaseType::Pointer 
InverseTransformBasePointer
typedef TransformBase InverseTransformBaseType
typedef Superclass::JacobianType JacobianType
typedef vnl_matrix< TScalarType > KMatrixType
typedef vnl_matrix< TScalarType > LMatrixType
typedef CovariantVector
< TScalarType,
NOutputDimensions > 
OutputCovariantVectorType
typedef Superclass::OutputPointType OutputPointType
typedef
Superclass::OutputVectorType 
OutputVectorType
typedef vnl_vector_fixed
< TScalarType,
NOutputDimensions > 
OutputVnlVectorType
typedef Superclass::ParametersType ParametersType
typedef vnl_matrix< TScalarType > PMatrixType
typedef SmartPointer< SelfPointer
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
< unsigned long,
InputVectorType
VectorSetType
typedef vnl_matrix< TScalarType > WMatrixType
typedef vnl_matrix< TScalarType > YMatrixType

Public Member Functions

void ComputeWMatrix (void)
virtual LightObject::Pointer CreateAnother () const
virtual void DebugOff () const
virtual void DebugOn () const
virtual void Delete ()
CommandGetCommand (unsigned long tag)
bool GetDebug () const
virtual VectorSetTypeGetDisplacements ()
virtual const ParametersTypeGetFixedParameters (void) const
unsigned int GetInputSpaceDimension (void) const
bool GetInverse (Self *) const
virtual InverseTransformBasePointer GetInverseTransform () const
virtual const JacobianTypeGetJacobian (const InputPointType &point) const
const MetaDataDictionaryGetMetaDataDictionary (void) const
MetaDataDictionaryGetMetaDataDictionary (void)
virtual unsigned long GetMTime () const
virtual const char * GetNameOfClass () const
virtual unsigned int GetNumberOfParameters (void) const
unsigned int GetOutputSpaceDimension (void) const
virtual const ParametersTypeGetParameters (void) const
virtual int GetReferenceCount () const
virtual PointSetTypeGetSourceLandmarks ()
virtual PointSetTypeGetTargetLandmarks ()
virtual std::string GetTransformTypeAsString () const
bool HasObserver (const EventObject &event) const
void InvokeEvent (const EventObject &) const
void InvokeEvent (const EventObject &)
virtual bool IsLinear () const
 itkStaticConstMacro (SpaceDimension, unsigned int, NDimensions)
virtual void Modified () const
void Print (std::ostream &os, Indent indent=0) const
virtual void Register () const
void RemoveAllObservers ()
void RemoveObserver (unsigned long tag)
void SetDebug (bool debugFlag) const
virtual void SetFixedParameters (const ParametersType &)
void SetMetaDataDictionary (const MetaDataDictionary &rhs)
virtual void SetParameters (const ParametersType &)
virtual void SetParametersByValue (const ParametersType &p)
virtual void SetReferenceCount (int)
virtual void SetSourceLandmarks (PointSetType *)
virtual void SetTargetLandmarks (PointSetType *)
virtual OutputCovariantVectorType TransformCovariantVector (const InputCovariantVectorType &) const
virtual OutputPointType TransformPoint (const InputPointType &thisPoint) const
virtual OutputVnlVectorType TransformVector (const InputVnlVectorType &) const
virtual OutputVectorType TransformVector (const InputVectorType &) const
virtual void UnRegister () const
virtual void UpdateParameters (void) const
unsigned long AddObserver (const EventObject &event, Command *) const
unsigned long AddObserver (const EventObject &event, Command *)
virtual double GetStiffness () const
virtual void SetStiffness (double _arg)
 itkStaticConstMacro (OutputSpaceDimension, unsigned int, NOutputDimensions)
 itkStaticConstMacro (InputSpaceDimension, unsigned int, NInputDimensions)

Static Public Member Functions

static void BreakOnError ()
static Pointer New ()
static bool GetGlobalWarningDisplay ()
static void GlobalWarningDisplayOff ()
static void GlobalWarningDisplayOn ()
static void SetGlobalWarningDisplay (bool flag)

Protected Types

typedef int InternalReferenceCountType

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 GMatrixTypeComputeReflexiveG (PointsIterator) const
void ComputeY ()
 itkLegacyMacro (virtual const GMatrixType &ComputeG(const InputVectorType &landmarkVector) const )
 KernelTransform ()
bool PrintObservers (std::ostream &os, Indent indent) const
void PrintSelf (std::ostream &os, Indent indent) const
void ReorganizeW (void)
virtual ~KernelTransform ()
virtual void PrintHeader (std::ostream &os, Indent indent) const
virtual void PrintTrailer (std::ostream &os, Indent indent) const

Protected Attributes

AMatrixType m_AMatrix
BMatrixType m_BVector
VectorSetPointer m_Displacements
DMatrixType m_DMatrix
ParametersType m_FixedParameters
GMatrixType m_GMatrix
IMatrixType m_I
JacobianType m_Jacobian
KMatrixType m_KMatrix
LMatrixType m_LMatrix
ParametersType m_Parameters
PMatrixType m_PMatrix
InternalReferenceCountType m_ReferenceCount
SimpleFastMutexLock m_ReferenceCountLock
PointSetPointer m_SourceLandmarks
double m_Stiffness
PointSetPointer m_TargetLandmarks
WMatrixType m_WMatrix
bool m_WMatrixComputed
YMatrixType m_YMatrix


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 64 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 217 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 220 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 226 of file itkKernelTransform.h.

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

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

'D' matrix typedef. Deformation component

Definition at line 214 of file itkKernelTransform.h.

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

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 141 of file itkKernelTransform.h.

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

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

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

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

typedef int itk::LightObject::InternalReferenceCountType [protected, inherited]

Define the type of the reference count according to the target. This allows the use of atomic operations

Definition at line 139 of file itkLightObject.h.

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

typedef TransformBase itk::Transform< TScalarType , NInputDimensions, NOutputDimensions >::InverseTransformBaseType [inherited]

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

Reimplemented in itk::IdentityTransform< TScalarType, NDimensions >, itk::ScaleTransform< TScalarType, NDimensions >, and itk::TranslationTransform< TScalarType, NDimensions >.

Definition at line 122 of file itkTransform.h.

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

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

'K' matrix typedef.

Definition at line 202 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 199 of file itkKernelTransform.h.

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

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

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

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

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

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

'P' matrix typedef.

Definition at line 205 of file itkKernelTransform.h.

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

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

Definition at line 112 of file itkKernelTransform.h.

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

Definition at line 108 of file itkKernelTransform.h.

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

Definition at line 107 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 104 of file itkKernelTransform.h.

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

Definition at line 106 of file itkKernelTransform.h.

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

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

Row matrix typedef.

Definition at line 223 of file itkKernelTransform.h.

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

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

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

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

Definition at line 116 of file itkKernelTransform.h.

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

VectorSet typedef.

Definition at line 115 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 211 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 208 of file itkKernelTransform.h.


Constructor & Destructor Documentation

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

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


Member Function Documentation

unsigned long itk::Object::AddObserver ( const EventObject event,
Command  
) const [inherited]

Allow people to add/remove/invoke observers (callbacks) to any ITK object. This is an implementation of the subject/observer design pattern. An observer is added by specifying an event to respond to and an itk::Command to execute. It returns an unsigned long tag which can be used later to remove the event or retrieve the command. The memory for the Command becomes the responsibility of this object, so don't pass the same instance of a command to two different objects

unsigned long itk::Object::AddObserver ( const EventObject event,
Command  
) [inherited]

Allow people to add/remove/invoke observers (callbacks) to any ITK object. This is an implementation of the subject/observer design pattern. An observer is added by specifying an event to respond to and an itk::Command to execute. It returns an unsigned long tag which can be used later to remove the event or retrieve the command. The memory for the Command becomes the responsibility of this object, so don't pass the same instance of a command to two different objects

static void itk::LightObject::BreakOnError (  )  [static, inherited]

This method is called when itkExceptionMacro executes. It allows the debugger to break on error.

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 [protected, virtual]

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

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

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

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

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 [protected, virtual]

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.

virtual LightObject::Pointer itk::Object::CreateAnother (  )  const [virtual, inherited]

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::LightObject.

virtual void itk::Object::DebugOff (  )  const [virtual, inherited]

Turn debugging output off.

virtual void itk::Object::DebugOn (  )  const [virtual, inherited]

Turn debugging output on.

virtual void itk::LightObject::Delete (  )  [virtual, inherited]

Delete an itk object. This method should always be used to delete an object when the new operator was used to create it. Using the C delete method will not work with reference counting.

Command* itk::Object::GetCommand ( unsigned long  tag  )  [inherited]

Get the command associated with the given tag. NOTE: This returns a pointer to a Command, but it is safe to asign this to a Command::Pointer. Since Command inherits from LightObject, at this point in the code, only a pointer or a reference to the Command can be used.

bool itk::Object::GetDebug (  )  const [inherited]

Get the value of the debug flag.

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 >.

static bool itk::Object::GetGlobalWarningDisplay (  )  [static, inherited]

This is a global flag that controls whether any debug, warning or error messages are displayed.

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

Get the size of the input space

Implements itk::TransformBase.

Definition at line 87 of file itkTransform.h.

bool itk::Transform< TScalarType , NInputDimensions, NOutputDimensions >::GetInverse ( Self  )  const [inline, inherited]

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 by derived classes.

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

Definition at line 238 of file itkTransform.h.

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

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

Reimplemented in itk::IdentityTransform< TScalarType, NDimensions >, itk::ScaleTransform< TScalarType, NDimensions >, and itk::TranslationTransform< TScalarType, NDimensions >.

Definition at line 246 of file itkTransform.h.

References NULL.

template<class TScalarType, unsigned int NDimensions>
virtual const JacobianType& itk::KernelTransform< TScalarType, NDimensions >::GetJacobian ( const InputPointType point  )  const [virtual]

Compute the Jacobian Matrix of the transformation at one point

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

const MetaDataDictionary& itk::Object::GetMetaDataDictionary ( void   )  const [inherited]

Returns:
A constant reference to this objects MetaDataDictionary.

MetaDataDictionary& itk::Object::GetMetaDataDictionary ( void   )  [inherited]

Returns:
A reference to this objects MetaDataDictionary.
Warning:
This reference may be changed.

virtual unsigned long itk::Object::GetMTime (  )  const [virtual, inherited]

Return this objects modified time.

Reimplemented in itk::ImageRegistrationMethod< TFixedImage, TMovingImage >, itk::ImageToSpatialObjectRegistrationMethod< TFixedImage, TMovingSpatialObject >, itk::MultiResolutionImageRegistrationMethod< TFixedImage, TMovingImage >, itk::PointSetToImageRegistrationMethod< TFixedPointSet, TMovingImage >, itk::PointSetToPointSetRegistrationMethod< TFixedPointSet, TMovingPointSet >, itk::DeformationFieldSource< TOutputImage >, itk::InverseDeformationFieldImageFilter< TInputImage, TOutputImage >, itk::ResampleImageFilter< TInputImage, TOutputImage, TInterpolatorPrecisionType >, itk::VectorResampleImageFilter< TInputImage, TOutputImage, TInterpolatorPrecisionType >, itk::BoundingBox< TPointIdentifier, VPointDimension, TCoordRep, TPointsContainer >, itk::ImageAdaptor< TImage, TAccessor >, itk::ResampleImageFilter< TInputImage, TOutputImage, TInterpolatorPrecisionType >, itk::TransformToDeformationFieldSource< TOutputImage, TTransformPrecisionType >, itk::ImageSpatialObject< TDimension, TPixelType >, itk::MeshSpatialObject< TMesh >, itk::SceneSpatialObject< TSpaceDimension >, itk::SpatialObject< TDimension >, itk::ImageAdaptor< TImage, Accessor::LogPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::SqrtPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::ComplexToModulusPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::ComplexToImaginaryPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::SinPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::TanPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::ExpNegativePixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::Log10PixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, PixelAccessor >, itk::ImageAdaptor< TImage, Accessor::RGBToVectorPixelAccessor< TImage::PixelType::ComponentType > >, itk::ImageAdaptor< TImage, Accessor::AcosPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::RGBToLuminancePixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::ComplexToPhasePixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< VectorImage< TPixelType, Dimension >, Accessor::VectorImageToImagePixelAccessor< TPixelType > >, itk::ImageAdaptor< TImage, Accessor::AddPixelAccessor< TImage::PixelType > >, itk::ImageAdaptor< TImage, Accessor::AbsPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::VectorToRGBPixelAccessor< TImage::PixelType::ValueType > >, itk::ImageAdaptor< TImage, Accessor::AsinPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::ComplexToRealPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::ExpPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::AtanPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::CosPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageSpatialObject< TDimension, unsigned char >, itk::SpatialObject< 3 >, and itk::SpatialObject< ::itk::GetMeshDimension< TMesh >::PointDimension >.

Referenced by itk::SpatialObject< ::itk::GetMeshDimension< TMesh >::PointDimension >::GetObjectMTime().

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

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

Return the number of parameters that completely define the Transfom

Implements itk::TransformBase.

Reimplemented in itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, and itk::TranslationTransform< TScalarType, NDimensions >.

Definition at line 228 of file itkTransform.h.

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

Get the size of the output space

Implements itk::TransformBase.

Definition at line 90 of file itkTransform.h.

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 >.

virtual int itk::LightObject::GetReferenceCount (  )  const [inline, virtual, inherited]

Gets the reference count on this object.

Definition at line 106 of file itkLightObject.h.

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 $.

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

Generate a platform independant name

Implements itk::TransformBase.

static void itk::Object::GlobalWarningDisplayOff (  )  [inline, static, inherited]

This is a global flag that controls whether any debug, warning or error messages are displayed.

Definition at line 100 of file itkObject.h.

References itk::Object::SetGlobalWarningDisplay().

static void itk::Object::GlobalWarningDisplayOn (  )  [inline, static, inherited]

This is a global flag that controls whether any debug, warning or error messages are displayed.

Definition at line 98 of file itkObject.h.

References itk::Object::SetGlobalWarningDisplay().

bool itk::Object::HasObserver ( const EventObject event  )  const [inherited]

Return true if an observer is registered for this event.

void itk::Object::InvokeEvent ( const EventObject  )  const [inherited]

Call Execute on all the Commands observing this event id. The actions triggered by this call doesn't modify this object.

void itk::Object::InvokeEvent ( const EventObject  )  [inherited]

Call Execute on all the Commands observing this event id.

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

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 172 of file itkKernelTransform.h.

template<class TScalarType, unsigned int NDimensions>
itk::KernelTransform< TScalarType, NDimensions >::itkLegacyMacro ( virtual const GMatrixType &ComputeG(const InputVectorType &landmarkVector)  const  )  [protected]

Deprecated:
in ITK 3.6, please use void ComputeG(vector,gmatrix) instead.

itk::Transform< TScalarType , NInputDimensions, NOutputDimensions >::itkStaticConstMacro ( OutputSpaceDimension  ,
unsigned  int,
NOutputDimensions   
) [inherited]

Dimension of the domain space.

itk::Transform< TScalarType , NInputDimensions, NOutputDimensions >::itkStaticConstMacro ( InputSpaceDimension  ,
unsigned  int,
NInputDimensions   
) [inherited]

Dimension of the domain space.

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

Dimension of the domain space.

virtual void itk::Object::Modified (  )  const [virtual, inherited]

Update the modification time for this object. Many filters rely on the modification time to determine if they need to recompute their data.

Reimplemented in itk::NormalizeImageFilter< TInputImage, TOutputImage >, itk::ImageAdaptor< TImage, TAccessor >, itk::MiniPipelineSeparableImageFilter< TInputImage, TOutputImage, TFilter >, itk::GrayscaleDilateImageFilter< TInputImage, TOutputImage, TKernel >, itk::GrayscaleErodeImageFilter< TInputImage, TOutputImage, TKernel >, itk::GrayscaleMorphologicalClosingImageFilter< TInputImage, TOutputImage, TKernel >, itk::GrayscaleMorphologicalOpeningImageFilter< TInputImage, TOutputImage, TKernel >, itk::MorphologicalGradientImageFilter< TInputImage, TOutputImage, TKernel >, itk::ImageAdaptor< TImage, Accessor::LogPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::SqrtPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::ComplexToModulusPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::ComplexToImaginaryPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::SinPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::TanPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::ExpNegativePixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::Log10PixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, PixelAccessor >, itk::ImageAdaptor< TImage, Accessor::RGBToVectorPixelAccessor< TImage::PixelType::ComponentType > >, itk::ImageAdaptor< TImage, Accessor::AcosPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::RGBToLuminancePixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::ComplexToPhasePixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< VectorImage< TPixelType, Dimension >, Accessor::VectorImageToImagePixelAccessor< TPixelType > >, itk::ImageAdaptor< TImage, Accessor::AddPixelAccessor< TImage::PixelType > >, itk::ImageAdaptor< TImage, Accessor::AbsPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::VectorToRGBPixelAccessor< TImage::PixelType::ValueType > >, itk::ImageAdaptor< TImage, Accessor::AsinPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::ComplexToRealPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::ExpPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::AtanPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::CosPixelAccessor< TImage::PixelType, TOutputPixelType > >, and itk::MiniPipelineSeparableImageFilter< TInputImage, TOutputImage, RankImageFilter< TInputImage, TInputImage, FlatStructuringElement< ::itk::GetImageDimension< TInputImage >::ImageDimension > > >.

Referenced by itk::NarrowBandImageFilterBase< TInputImage, TOutputImage >::InsertNarrowBandNode(), itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >::SetCenter(), itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >::SetMatrix(), itk::NarrowBandImageFilterBase< TInputImage, TOutputImage >::SetNarrowBand(), itk::NarrowBandImageFilterBase< TInputImage, TOutputImage >::SetNarrowBandInnerRadius(), itk::NarrowBandImageFilterBase< TInputImage, TOutputImage >::SetNarrowBandTotalRadius(), itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >::SetOffset(), itk::ThresholdLabelerImageFilter< TInputImage, TOutputImage >::SetRealThresholds(), itk::NonUniformBSpline< TDimension >::SetSplineOrder(), itk::ThresholdLabelerImageFilter< TInputImage, TOutputImage >::SetThresholds(), itk::Statistics::GoodnessOfFitFunctionBase< TInputHistogram >::SetTotalObservedScale(), and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >::SetTranslation().

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

void itk::LightObject::Print ( std::ostream &  os,
Indent  indent = 0 
) const [inherited]

Cause the object to print itself out.

Referenced by itk::WeakPointer< ProcessObject >::Print().

virtual void itk::LightObject::PrintHeader ( std::ostream &  os,
Indent  indent 
) const [protected, virtual, inherited]

Methods invoked by Print() to print information about the object including superclasses. Typically not called by the user (use Print() instead) but used in the hierarchical print process to combine the output of several classes.

bool itk::Object::PrintObservers ( std::ostream &  os,
Indent  indent 
) const [protected, inherited]

template<class TScalarType, unsigned int NDimensions>
void itk::KernelTransform< TScalarType, NDimensions >::PrintSelf ( std::ostream &  os,
Indent  indent 
) const [protected, virtual]

Methods invoked by Print() to print information about the object including superclasses. Typically not called by the user (use Print() instead) but used in the hierarchical print process to combine the output of several classes.

Reimplemented from itk::Object.

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

virtual void itk::LightObject::PrintTrailer ( std::ostream &  os,
Indent  indent 
) const [protected, virtual, inherited]

Methods invoked by Print() to print information about the object including superclasses. Typically not called by the user (use Print() instead) but used in the hierarchical print process to combine the output of several classes.

virtual void itk::Object::Register (  )  const [virtual, inherited]

Increase the reference count (mark as used by another object).

Reimplemented from itk::LightObject.

void itk::Object::RemoveAllObservers (  )  [inherited]

Remove all observers .

void itk::Object::RemoveObserver ( unsigned long  tag  )  [inherited]

Remove the observer with this tag value.

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

void itk::Object::SetDebug ( bool  debugFlag  )  const [inherited]

Set the value of the debug flag. A non-zero value turns debugging on.

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

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

static void itk::Object::SetGlobalWarningDisplay ( bool  flag  )  [static, inherited]

This is a global flag that controls whether any debug, warning or error messages are displayed.

Referenced by itk::Object::GlobalWarningDisplayOff(), and itk::Object::GlobalWarningDisplayOn().

void itk::Object::SetMetaDataDictionary ( const MetaDataDictionary rhs  )  [inherited]

Returns:
Set the MetaDataDictionary

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>.

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

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

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

Implements itk::TransformBase.

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

Definition at line 163 of file itkTransform.h.

virtual void itk::Object::SetReferenceCount ( int   )  [virtual, inherited]

Sets the reference count (use with care)

Reimplemented from itk::LightObject.

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.

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

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

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

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

Method to transform a vnl_vector.

Definition at line 138 of file itkTransform.h.

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

Method to transform a vector.

Definition at line 134 of file itkTransform.h.

virtual void itk::Object::UnRegister (  )  const [virtual, inherited]

Decrease the reference count (release by another object).

Reimplemented from itk::LightObject.

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 316 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 319 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 291 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 313 of file itkKernelTransform.h.

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

Definition at line 273 of file itkTransform.h.

template<class TScalarType, unsigned int NDimensions>
GMatrixType itk::KernelTransform< TScalarType, NDimensions >::m_GMatrix [mutable, protected]

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 324 of file itkKernelTransform.h.

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

Identity matrix.

Definition at line 330 of file itkKernelTransform.h.

JacobianType itk::Transform< TScalarType , NInputDimensions, NOutputDimensions >::m_Jacobian [mutable, protected, inherited]

Definition at line 274 of file itkTransform.h.

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

The K matrix.

Definition at line 297 of file itkKernelTransform.h.

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

The L matrix.

Definition at line 294 of file itkKernelTransform.h.

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

Definition at line 272 of file itkTransform.h.

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

The P matrix.

Definition at line 300 of file itkKernelTransform.h.

Number of uses of this object by other objects.

Definition at line 144 of file itkLightObject.h.

Mutex lock to protect modification to the reference count

Definition at line 147 of file itkLightObject.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 333 of file itkKernelTransform.h.

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

Stiffness parameter

Definition at line 287 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 336 of file itkKernelTransform.h.

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

The W matrix.

Definition at line 306 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 327 of file itkKernelTransform.h.

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

The Y matrix.

Definition at line 303 of file itkKernelTransform.h.


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

Generated at Tue Sep 15 09:56:08 2009 for ITK by doxygen 1.5.8 written by Dimitri van Heesch, © 1997-2000