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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 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 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
unsigned int GetInputSpaceDimension (void) const
bool GetInverse (Self *) const
bool GetInverse (Self *) const
virtual const JacobianType & GetJacobian (const InputPointType &inputPoint, unsigned int) const
virtual const JacobianType & GetJacobian (const InputPointType &) 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
virtual unsigned int GetNumberOfParameters (void) const
virtual const unsigned int & GetNumberOfThreads ()
unsigned int GetOutputSpaceDimension (void) const
unsigned int GetOutputSpaceDimension (void) const
virtual const ParametersType & GetParameters (void) const
virtual int GetReferenceCount () const
virtual PointSetType * GetSourceLandmarks ()
virtual PointSetType * GetTargetLandmarks ()
virtual std::string GetTransformTypeAsString () const
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 (OutputSpaceDimension, unsigned int, NOutputDimensions)
 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 &)
virtual void SetFixedParameters (const ParametersType &)
void SetMetaDataDictionary (const MetaDataDictionary &rhs)
virtual void SetNumberOfThreads (unsigned int numberOfThreads) const
virtual void SetParameters (const ParametersType &)
virtual void SetParameters (const ParametersType &)
virtual void SetParametersByValue (const ParametersType &p)
virtual void SetParametersByValue (const ParametersType &p)
virtual void SetReferenceCount (int)
virtual void SetSourceLandmarks (PointSetType *)
virtual void SetTargetLandmarks (PointSetType *)
virtual OutputCovariantVectorType TransformCovariantVector (const InputCovariantVectorType &inputCovariantVector) const
virtual OutputCovariantVectorType TransformCovariantVector (const InputCovariantVectorType &inputCovariantVector, unsigned int) const
virtual OutputCovariantVectorType TransformCovariantVector (const InputCovariantVectorType &) const
virtual OutputPointType TransformPoint (const InputPointType &inputPoint, unsigned int) const
virtual OutputPointType TransformPoint (const InputPointType &) const
virtual OutputPointType TransformPoint (const InputPointType &thisPoint) const
virtual OutputVnlVectorType TransformVector (const InputVnlVectorType &inputVnlVector) const
virtual OutputVnlVectorType TransformVector (const InputVnlVectorType &inputVnlVector, unsigned int) const
virtual OutputVectorType TransformVector (const InputVectorType &inputVector) const
virtual OutputVectorType TransformVector (const InputVectorType &inputVector, unsigned int) 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 ()
virtual void SetStiffness (double _arg)

Static Public Member Functions

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

Public Attributes

PointSetPointer m_SourceLandmarks
PointSetPointer m_TargetLandmarks

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 ()
virtual JacobianType * GetJacobianVariableForThread (unsigned int threadId=0) const
bool PrintObservers (std::ostream &os, Indent indent) const
void PrintSelf (std::ostream &os, Indent indent) const
void ReorganizeW (void)
virtual ~ElasticBodySplineKernelTransform ()
virtual void PrintHeader (std::ostream &os, Indent indent) const
virtual void PrintTrailer (std::ostream &os, Indent indent) const

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
volatile int m_ReferenceCount
SimpleFastMutexLock m_ReferenceCountLock
double m_Stiffness
JacobianType * m_ThreaderJacobian
WMatrixType m_WMatrix
bool m_WMatrixComputed
YMatrixType m_YMatrix

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 216 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 219 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 225 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 213 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 117 of file itkThreadSafeTransform.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 119 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 201 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 198 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 118 of file itkThreadSafeTransform.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 120 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 204 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 222 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 210 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 207 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

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

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, 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 94 of file itkThreadSafeTransform.h.

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 96 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 235 of file itkThreadSafeTransform.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 218 of file itkTransform.h.

virtual const JacobianType&