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itk::ElasticBodySplineKernelTransform

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

#include <itkElasticBodySplineKernelTransform.h>

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List of all members.

Detailed Description

template<class TScalarType = double, unsigned int NDimensions = 3>
class itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >

This class defines the elastic body spline (EBS) transformation. It 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 Taken from the paper: The EBS "is based on a physical model of a homogeneous, isotropic, three-dimensional elastic body. The model can approximate the way that some physical objects deform".

Definition at line 40 of file itkElasticBodySplineKernelTransform.h.

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 > 		IMatrixType
typedef Superclass::InputCovariantVectorType InputCovariantVectorType
typedef Superclass::InputPointType InputPointType
typedef Superclass::InputVectorType InputVectorType
typedef vnl_vector_fixed<
TScalarType, NInputDimensions > 		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 vnl_vector_fixed<
TScalarType, NOutputDimensions > 		OutputVnlVectorType
typedef Superclass::ParametersType ParametersType
typedef vnl_matrix< TScalarType > PMatrixType
typedef SmartPointer< Self > Pointer
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 ElasticBodySplineKernelTransform Self
typedef KernelTransform< TScalarType,
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 ()
virtual TScalarType GetAlpha ()
Command * GetCommand (unsigned long tag)
bool GetDebug () const
virtual VectorSetType * GetDisplacements ()
virtual const ParametersType & GetFixedParameters (void) const
unsigned int GetInputSpaceDimension (void) const
bool GetInverse (Self *) const
virtual const JacobianType & GetJacobian (const InputPointType &point) const
const MetaDataDictionary & GetMetaDataDictionary (void) const
MetaDataDictionary & GetMetaDataDictionary (void)
virtual unsigned long GetMTime () const
virtual const char * GetNameOfClass () const
virtual unsigned int GetNumberOfParameters (void) const
unsigned int GetOutputSpaceDimension (void) const
virtual const ParametersType & GetParameters (void) const
virtual int GetReferenceCount () const
virtual PointSetType * GetSourceLandmarks ()
virtual double GetStiffness ()
virtual PointSetType * GetTargetLandmarks ()
virtual std::string GetTransformTypeAsString () const
bool HasObserver (const EventObject &event) const
void InvokeEvent (const EventObject &) const
void InvokeEvent (const EventObject &)
 itkStaticConstMacro (OutputSpaceDimension, unsigned int, NOutputDimensions)
Dimension of the domain space * itkStaticConstMacro (InputSpaceDimension, unsigned int, NInputDimensions)
 itkStaticConstMacro (SpaceDimension, unsigned int, NDimensions)
 itkStaticConstMacro (SpaceDimension, unsigned int, Superclass::SpaceDimension)
virtual void Modified () const
void Print (std::ostream &os, Indent indent=0) const
virtual void Register () const
void RemoveAllObservers ()
void RemoveObserver (unsigned long tag)
virtual void SetAlpha (TScalarType _arg)
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 *)
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 typically
in the range *of to The approximating
spline formulation is based
on *the short paper by R K
H Stiehl Thin Plate *Spline
Approximation for Image Registration
In th *International Conference
of the IEEE Engineering in
Medicine and *Biology Society
*virtual void 		SetStiffness (double _arg)
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

Static Public Member Functions

static void BreakOnError ()
static bool GetGlobalWarningDisplay ()
static void GlobalWarningDisplayOff ()
static void GlobalWarningDisplayOn ()
static Pointer New ()
This is a global flag that
controls whether any warning
*or error messages are displayed
*static void 		SetGlobalWarningDisplay (bool flag)

Public Attributes

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 unsigned lon 		AddObserver )(const EventObject &event, Command *) const
This is a global flag that
controls whether any 		debug
return m_Jacobian
PointSetPointer m_SourceLandmarks
PointSetPointer m_TargetLandmarks
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 typically
in the range *of to The approximating
spline formulation is based
on *the short paper by R K 		Rohr
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
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 typically
in the range *of to The approximating
spline formulation is based
on *the short paper by R 		Sprengel
Compute the Jacobian of the
transformation **This method
computes the Jacobian matrix
of the transformation *at
a given input point The rank
of the Jacobian will also
indicate *if the transform
is invertible at this point
**The Jacobian is be expressed
as a matrix of partial derivatives
of the *output point components
with respect to the parameters
that defined *the 		transform

Protected Types

typedef Superclass::GMatrixType GMatrixType

Protected Member Functions

void ComputeD ()
virtual void ComputeDeformationContribution (const InputPointType &inputPoint, OutputPointType &result) const
const GMatrixType & ComputeG (const InputVectorType &x) const
void ComputeK ()
void ComputeL ()
void ComputeP ()
virtual const GMatrixType & ComputeReflexiveG (PointsIterator) const
void ComputeY ()
 ElasticBodySplineKernelTransform ()
bool PrintObservers (std::ostream &os, Indent indent) const
void PrintSelf (std::ostream &os, Indent indent) const
virtual void PrintTrailer (std::ostream &os, Indent indent) const
void ReorganizeW (void)
 Transform (unsigned int Dimension, unsigned int NumberOfParameters)
 Transform ()
virtual ~ElasticBodySplineKernelTransform ()

Protected Attributes

TScalarType m_Alpha
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
int m_ReferenceCount
SimpleFastMutexLock m_ReferenceCountLock
double m_Stiffness
WMatrixType m_WMatrix
bool m_WMatrixComputed
YMatrixType m_YMatrix
Methods invoked by virtual
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 PrintSelf(std voi 		PrintHeader )(std::ostream &os, Indent indent) const

Member Typedef Documentation

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

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

Definition at line 211 of file itkKernelTransform.h.

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

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

Definition at line 214 of file itkKernelTransform.h.

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

Column matrix typedef.

Definition at line 220 of file itkKernelTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef SmartPointer<const Self> itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::ConstPointer
 

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

Definition at line 50 of file itkElasticBodySplineKernelTransform.h.

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

'D' matrix typedef. Deformation component

Definition at line 208 of file itkKernelTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::GMatrixType itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::GMatrixType [protected]
 

These (rather redundant) typedefs are needed because on SGI, typedefs are not inherited

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

Definition at line 95 of file itkElasticBodySplineKernelTransform.h.

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

'I' (identity) matrix typedef.

Definition at line 140 of file itkKernelTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::InputCovariantVectorType itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::InputCovariantVectorType
 

Standard covariant vector type for this class

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

Definition at line 84 of file itkElasticBodySplineKernelTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::InputPointType itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::InputPointType
 

These (rather redundant) typedefs are needed because on SGI, typedefs are not inherited

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

Definition at line 76 of file itkElasticBodySplineKernelTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::InputVectorType itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::InputVectorType
 

Standard vector type for this class.

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

Definition at line 82 of file itkElasticBodySplineKernelTransform.h.

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

Standard vnl_vector type for this class.

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

Definition at line 110 of file itkTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::JacobianType itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::JacobianType
 

Jacobian type.

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

Definition at line 65 of file itkElasticBodySplineKernelTransform.h.

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

'K' matrix typedef.

Definition at line 196 of file itkKernelTransform.h.

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

'L' matrix typedef.

Definition at line 193 of file itkKernelTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::OutputCovariantVectorType itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::OutputCovariantVectorType
 

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

Definition at line 85 of file itkElasticBodySplineKernelTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::OutputPointType itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::OutputPointType
 

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

Definition at line 81 of file itkElasticBodySplineKernelTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::OutputVectorType itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::OutputVectorType
 

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

Definition at line 83 of file itkElasticBodySplineKernelTransform.h.

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

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

Definition at line 111 of file itkTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::ParametersType itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::ParametersType
 

Parameters type.

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

Definition at line 62 of file itkElasticBodySplineKernelTransform.h.

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

'P' matrix typedef.

Definition at line 199 of file itkKernelTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef SmartPointer<Self> itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::Pointer
 

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

Definition at line 49 of file itkElasticBodySplineKernelTransform.h.

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

Definition at line 111 of file itkKernelTransform.h.

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

Definition at line 109 of file itkKernelTransform.h.

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

Definition at line 108 of file itkKernelTransform.h.

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

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

Definition at line 106 of file itkKernelTransform.h.

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

Definition at line 107 of file itkKernelTransform.h.

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

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

Definition at line 110 of file itkKernelTransform.h.

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

Row matrix typedef.

Definition at line 217 of file itkKernelTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::ScalarType itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::ScalarType
 

Scalar type.

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

Definition at line 56 of file itkElasticBodySplineKernelTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef ElasticBodySplineKernelTransform itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::Self
 

Standard class typedefs.

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

Definition at line 45 of file itkElasticBodySplineKernelTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef KernelTransform< TScalarType, NDimensions> itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::Superclass
 

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

Definition at line 47 of file itkElasticBodySplineKernelTransform.h.

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

Definition at line 115 of file itkKernelTransform.h.

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

VectorSet typedef.

Definition at line 114 of file itkKernelTransform.h.

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

'W' matrix typedef.

Definition at line 205 of file itkKernelTransform.h.

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

'Y' matrix typedef.

Definition at line 202 of file itkKernelTransform.h.

Constructor & Destructor Documentation

template<class TScalarType = double, unsigned int NDimensions = 3>
itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::ElasticBodySplineKernelTransform (   )  [protected]
 

template<class TScalarType = double, unsigned int NDimensions = 3>
virtual itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::~ElasticBodySplineKernelTransform (   )  [protected, virtual]
 

Member Function Documentation

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, inherited]
 

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, inherited]
 

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 = double, unsigned int NDimensions = 3>
const GMatrixType& itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::ComputeG (  const InputVectorType &  x  )  const [protected, virtual]
 

Compute G(x) For the elastic body spline, this is: G(x) = [alpha*r(x)^2*I - 3*x*x']*r(x) $ G(x) = [\alpha*r(x)^2*I - 3*x*x']*r(x) $ where $\alpha = 12 ( 1 - \nu ) - 1$ $\nu$ is Poisson's Ratio r(x) = Euclidean norm = sqrt[x1^2 + x2^2 + x3^2]

\[ r(x) = \sqrt{ x_1^2 + x_2^2 + x_3^2 } \]

I = identity matrix

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

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

Compute K matrix.

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

Compute L matrix.

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

Compute P matrix.

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

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.

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

Compute W matrix.

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

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.

template<class TScalarType = double, unsigned int NDimensions = 3>
virtual TScalarType itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::GetAlpha (   )  [virtual]
 

Get alpha

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, inherited]
 

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, inherited]
 

Get Transform Fixed Parameters - Gets the Target Landmarks

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

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

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]
 

Return the inverse of the transform. The inverse is recomputed if it has been modified

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

Definition at line 209 of file itkTransform.h.

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

Compute the Jacobian Matrix of the transformation at one point

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::DeformationFieldSource< TOutputImage >, itk::InverseDeformationFieldImageFilter< TInputImage, TOutputImage >, itk::ResampleImageFilter< TInputImage, TOutputImage, TInterpolatorPrecisionType >, itk::VectorResampleImageFilter< TInputImage, TOutputImage, TInterpolatorPrecisionType >, itk::BoundingBox< TPointIdentifier, VPointDimension, TCoordRep, TPointsContainer >, itk::SceneSpatialObject< SpaceDimension >, and itk::SceneSpatialObject< NDimensions >.

template<class TScalarType = double, unsigned int NDimensions = 3>
virtual const char* itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::GetNameOfClass (   )  const [virtual]
 

Run-time type information (and related methods).

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

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 204 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, inherited]
 

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 98 of file itkLightObject.h.

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

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

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

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

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]
 

Definition at line 100 of file itkObject.h.

References itk::Object::SetGlobalWarningDisplay().

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

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.

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]
 

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

Dimension of the domain space.

template<class TScalarType = double, unsigned int NDimensions = 3>
itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::itkStaticConstMacro (  SpaceDimension  ,
unsigned  int,
Superclass::SpaceDimension 
) 
 

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.

Referenced by itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >::SetCenter(), itk::HistogramAlgorithmBase< TInputHistogram >::SetInputHistogram(), itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >::SetMatrix(), itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >::SetOffset(), itk::ThresholdLabelerImageFilter< TInputImage, TOutputImage >::SetRealThresholds(), itk::CollidingFrontsImageFilter< TInputImage, TOutputImage >::SetSeedPoints1(), itk::CollidingFrontsImageFilter< TInputImage, TOutputImage >::SetSeedPoints2(), itk::NonUniformBSpline< TDimension >::SetSplineOrder(), itk::ThresholdLabelerImageFilter< TInputImage, TOutputImage >::SetThresholds(), itk::Statistics::GoodnessOfFitFunctionBase< typename ComponentType::HistogramType >::SetTotalObservedScale(), and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >::SetTranslation().

template<class TScalarType = double, unsigned int NDimensions = 3>
static Pointer itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::New (   )  [static]
 

New macro for creation of through a Smart Pointer

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

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

Cause the object to print itself out.

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

template<class TScalarType = double, unsigned int NDimensions = 3>
void itk::ElasticBodySplineKernelTransform< 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::KernelTransform< TScalarType, NDimensions >.

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

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, inherited]
 

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 = double, unsigned int NDimensions = 3>
virtual void itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::SetAlpha (  TScalarType  _arg  )  [virtual]
 

Set alpha. Alpha is related to Poisson's Ratio ($\nu$ ) as $\alpha = 12 ( 1 - \nu ) - 1$

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, inherited]
 

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 >.

This is a global flag that controls whether any warning* or error messages are displayed* static void itk::Object::SetGlobalWarningDisplay (  bool  flag  )  [static, inherited]
 

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, inherited]
 

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 151 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, inherited]
 

Set the source landmarks list.

template<class TScalarType, unsigned int NDimensions>
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 typically in the range* of to The approximating spline formulation is based on* the short paper by R K H Stiehl Thin Plate* Spline Approximation for Image Registration In th* International Conference of the IEEE Engineering in Medicine and* Biology Society* virtual void itk::KernelTransform< TScalarType, NDimensions >::SetStiffness (  double  _arg  )  [virtual, inherited]
 

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

Set the target landmarks list.

itk::Transform< TScalarType , NInputDimensions, NOutputDimensions >::Transform (  unsigned int  Dimension,
unsigned int  NumberOfParameters
)  [protected, inherited]
 

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

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

Method to transform a CovariantVector.

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

Definition at line 130 of file itkTransform.h.

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

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.

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

Definition at line 126 of file itkTransform.h.

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

Method to transform a vector.

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

Definition at line 122 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, inherited]
 

Update the Parameters array from the landmarks corrdinates.

Member Data Documentation

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 unsigned lon itk::Object::AddObserver)(const EventObject &event, Command *) const [inherited]
 

This is a global flag that controls whether any itk::Object::debug [inherited]
 

Definition at line 94 of file itkObject.h.

template<class TScalarType = double, unsigned int NDimensions = 3>
TScalarType itk::ElasticBodySplineKernelTransform< TScalarType, NDimensions >::m_Alpha [protected]
 

alpha, Alpha is related to Poisson's Ratio ($$) as $ = 12 ( 1 - ) - 1$

Definition at line 112 of file itkElasticBodySplineKernelTransform.h.

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

Rotatinoal/Shearing part of the Affine component of the Transformation

Definition at line 302 of file itkKernelTransform.h.

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

Translational part of the Affine component of the Transformation

Definition at line 305 of file itkKernelTransform.h.

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

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

Definition at line 277 of file itkKernelTransform.h.

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

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 299 of file itkKernelTransform.h.

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

Definition at line 221 of file itkTransform.h.

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

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 310 of file itkKernelTransform.h.

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

Identity matrix.

Definition at line 316 of file itkKernelTransform.h.

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

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

Definition at line 222 of file itkTransform.h.

return itk::Transform< TScalarType , NInputDimensions, NOutputDimensions >::m_Jacobian [inherited]
 

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

Definition at line 199 of file itkTransform.h.

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

The K matrix.

Definition at line 283 of file itkKernelTransform.h.

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

The L matrix.

Definition at line 280 of file itkKernelTransform.h.

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

Definition at line 217 of file itkTransform.h.

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

The P matrix.

Definition at line 286 of file itkKernelTransform.h.

int itk::LightObject::m_ReferenceCount [mutable, protected, inherited]
 

Number of uses of this object by other objects.

Definition at line 119 of file itkLightObject.h.

SimpleFastMutexLock itk::LightObject::m_ReferenceCountLock [mutable, protected, inherited]
 

Mutex lock to protect modification to the reference count

Definition at line 122 of file itkLightObject.h.

template<class TScalarType, unsigned int NDimensions>
PointSetPointer itk::KernelTransform< TScalarType, NDimensions >::m_SourceLandmarks [inherited]
 

The list of source landmarks, denoted 'p'.

Definition at line 223 of file itkKernelTransform.h.

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

Stiffness parameter

Definition at line 273 of file itkKernelTransform.h.

template<class TScalarType, unsigned int NDimensions>
PointSetPointer itk::KernelTransform< TScalarType, NDimensions >::m_TargetLandmarks [inherited]
 

The list of target landmarks, denoted 'q'.

Definition at line 226 of file itkKernelTransform.h.

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

The W matrix.

Definition at line 292 of file itkKernelTransform.h.

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

Has the W matrix been computed?

Definition at line 313 of file itkKernelTransform.h.

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

The Y matrix.

Definition at line 289 of file itkKernelTransform.h.

Methods invoked by virtual 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 PrintSelf(std voi itk::LightObject::PrintHeader)(std::ostream &os, Indent indent) const [protected, inherited]
 

template<class TScalarType, unsigned int NDimensions>
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 typically in the range* of to The approximating spline formulation is based on* the short paper by R K itk::KernelTransform< TScalarType, NDimensions >::Rohr [inherited]
 

Definition at line 171 of file itkKernelTransform.h.

template<class TScalarType, unsigned int NDimensions>
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 itk::KernelTransform< TScalarType, NDimensions >::small [inherited]
 

Definition at line 171 of file itkKernelTransform.h.

template<class TScalarType, unsigned int NDimensions>
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 typically in the range* of to The approximating spline formulation is based on* the short paper by R itk::KernelTransform< TScalarType, NDimensions >::Sprengel [inherited]
 

Definition at line 171 of file itkKernelTransform.h.

Compute the Jacobian of the transformation* * This method computes the Jacobian matrix of the transformation* at a given input point The rank of the Jacobian will also indicate* if the transform is invertible at this point* * The Jacobian is be expressed as a matrix of partial derivatives of the* output point components with respect to the parameters that defined* the itk::Transform< TScalarType , NInputDimensions, NOutputDimensions >::transform [inherited]
 

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

Definition at line 167 of file itkTransform.h.

The documentation for this class was generated from the following file:
Generated at Sun Jul 9 19:36:52 2006 for ITK by doxygen 1.4.2 written by Dimitri van Heesch, © 1997-2000