ITK  4.6.0
Insight Segmentation and Registration Toolkit
Public Types | Public Member Functions | Static Public Member Functions | Static Public Attributes | Protected Types | Protected Member Functions | Protected Attributes | Private Member Functions | List of all members
itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions > Class Template Reference

#include <itkElasticBodyReciprocalSplineKernelTransform.h>

+ Inheritance diagram for itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >:
+ Collaboration diagram for itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >:

Detailed Description

template<typename TScalar = double, unsigned int NDimensions = 3>
class itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, 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 41 of file itkElasticBodyReciprocalSplineKernelTransform.h.

Public Types

typedef SmartPointer< const SelfConstPointer
 
typedef
Superclass::InputCovariantVectorType 
InputCovariantVectorType
 
typedef Superclass::InputPointType InputPointType
 
typedef Superclass::InputVectorType InputVectorType
 
typedef Superclass::JacobianType JacobianType
 
typedef
Superclass::OutputCovariantVectorType 
OutputCovariantVectorType
 
typedef Superclass::OutputPointType OutputPointType
 
typedef
Superclass::OutputVectorType 
OutputVectorType
 
typedef Superclass::ParametersType ParametersType
 
typedef SmartPointer< SelfPointer
 
typedef Superclass::ScalarType ScalarType
 
typedef
ElasticBodyReciprocalSplineKernelTransform 
Self
 
typedef KernelTransform
< TScalar, NDimensions > 
Superclass
 
- Public Types inherited from itk::KernelTransform< TScalar, NDimensions >
typedef vnl_matrix_fixed
< TScalar, NDimensions,
NDimensions > 
AMatrixType
 
typedef vnl_vector_fixed
< TScalar, NDimensions > 
BMatrixType
 
typedef vnl_matrix_fixed
< TScalar, NDimensions, 1 > 
ColumnMatrixType
 
typedef SmartPointer< const SelfConstPointer
 
typedef vnl_matrix< TScalar > DMatrixType
 
typedef vnl_matrix_fixed
< TScalar, NDimensions,
NDimensions > 
GMatrixType
 
typedef vnl_matrix_fixed
< TScalar, NDimensions,
NDimensions > 
IMatrixType
 
typedef
Superclass::InputCovariantVectorType 
InputCovariantVectorType
 
typedef Superclass::InputPointType InputPointType
 
typedef Superclass::InputVectorType InputVectorType
 
typedef
Superclass::InputVnlVectorType 
InputVnlVectorType
 
typedef Superclass::JacobianType JacobianType
 
typedef vnl_matrix< TScalar > KMatrixType
 
typedef vnl_matrix< TScalar > LMatrixType
 
typedef
Superclass::OutputCovariantVectorType 
OutputCovariantVectorType
 
typedef Superclass::OutputPointType OutputPointType
 
typedef
Superclass::OutputVectorType 
OutputVectorType
 
typedef
Superclass::OutputVnlVectorType 
OutputVnlVectorType
 
typedef Superclass::ParametersType ParametersType
 
typedef vnl_matrix< TScalar > PMatrixType
 
typedef SmartPointer< SelfPointer
 
typedef
PointSetType::PointIdentifier 
PointIdentifier
 
typedef
PointSetType::PointsContainerConstIterator 
PointsConstIterator
 
typedef
PointSetType::PointsContainer 
PointsContainer
 
typedef PointSetType::Pointer PointSetPointer
 
typedef
DefaultStaticMeshTraits
< TScalar, NDimensions,
NDimensions, TScalar, TScalar > 
PointSetTraitsType
 
typedef PointSet
< InputPointType, NDimensions,
PointSetTraitsType
PointSetType
 
typedef
PointSetType::PointsContainerIterator 
PointsIterator
 
typedef vnl_matrix_fixed
< TScalar, 1, NDimensions > 
RowMatrixType
 
typedef Superclass::ScalarType ScalarType
 
typedef KernelTransform Self
 
typedef Transform< TScalar,
NDimensions, NDimensions > 
Superclass
 
typedef
Superclass::TransformCategoryType 
TransformCategoryType
 
typedef VectorSetType::Pointer VectorSetPointer
 
typedef itk::VectorContainer
< SizeValueType,
InputVectorType
VectorSetType
 
typedef vnl_matrix< TScalar > WMatrixType
 
typedef vnl_matrix< TScalar > YMatrixType
 
- Public Types inherited from itk::Transform< TScalar, NDimensions, NDimensions >
typedef SmartPointer< const SelfConstPointer
 
typedef Array
< ParametersValueType
DerivativeType
 
typedef Matrix< double,
itkGetStaticConstMacro(OutputSpaceDimension),
itkGetStaticConstMacro(InputSpaceDimension)> 
DirectionChangeMatrix
 
typedef CovariantVector
< TScalar, NInputDimensions > 
InputCovariantVectorType
 
typedef DiffusionTensor3D
< TScalar > 
InputDiffusionTensor3DType
 
typedef Matrix< double,
itkGetStaticConstMacro(InputSpaceDimension),
itkGetStaticConstMacro(InputSpaceDimension)> 
InputDirectionMatrix
 
typedef Point< TScalar,
NInputDimensions > 
InputPointType
 
typedef
SymmetricSecondRankTensor
< TScalar, NInputDimensions > 
InputSymmetricSecondRankTensorType
 
typedef VariableLengthVector
< TScalar > 
InputVectorPixelType
 
typedef Vector< TScalar,
NInputDimensions > 
InputVectorType
 
typedef vnl_vector_fixed
< TScalar, NInputDimensions > 
InputVnlVectorType
 
typedef
InverseTransformBaseType::Pointer 
InverseTransformBasePointer
 
typedef Transform< TScalar,
NOutputDimensions,
NInputDimensions > 
InverseTransformBaseType
 
typedef Array2D
< ParametersValueType
JacobianType
 
typedef Matrix< TScalar,
itkGetStaticConstMacro(OutputSpaceDimension),
itkGetStaticConstMacro(InputSpaceDimension)> 
MatrixType
 
typedef
Superclass::NumberOfParametersType 
NumberOfParametersType
 
typedef CovariantVector
< TScalar, NOutputDimensions > 
OutputCovariantVectorType
 
typedef DiffusionTensor3D
< TScalar > 
OutputDiffusionTensor3DType
 
typedef Matrix< double,
itkGetStaticConstMacro(OutputSpaceDimension),
itkGetStaticConstMacro(OutputSpaceDimension)> 
OutputDirectionMatrix
 
typedef Point< TScalar,
NOutputDimensions > 
OutputPointType
 
typedef
SymmetricSecondRankTensor
< TScalar, NOutputDimensions > 
OutputSymmetricSecondRankTensorType
 
typedef VariableLengthVector
< TScalar > 
OutputVectorPixelType
 
typedef Vector< TScalar,
NOutputDimensions > 
OutputVectorType
 
typedef vnl_vector_fixed
< TScalar, NOutputDimensions > 
OutputVnlVectorType
 
typedef Superclass::ParametersType ParametersType
 
typedef
Superclass::ParametersValueType 
ParametersValueType
 
typedef SmartPointer< SelfPointer
 
typedef TScalar ScalarType
 
typedef Transform Self
 
typedef TransformBaseTemplate
< TScalar > 
Superclass
 
typedef
Superclass::TransformCategoryType 
TransformCategoryType
 
- Public Types inherited from itk::TransformBaseTemplate< TScalar >
typedef SmartPointer< const SelfConstPointer
 
typedef IdentifierType NumberOfParametersType
 
typedef OptimizerParameters
< ParametersValueType
ParametersType
 
typedef TScalar ParametersValueType
 
typedef SmartPointer< SelfPointer
 
typedef TransformBaseTemplate Self
 
typedef Object Superclass
 
enum  TransformCategoryType {
  UnknownTransformCategory =0,
  Linear =1,
  BSpline =2,
  Spline =3,
  DisplacementField =4,
  VelocityField =5
}
 
- Public Types inherited from itk::Object
typedef SmartPointer< const SelfConstPointer
 
typedef SmartPointer< SelfPointer
 
typedef Object Self
 
typedef LightObject Superclass
 
- Public Types inherited from itk::LightObject
typedef SmartPointer< const SelfConstPointer
 
typedef SmartPointer< SelfPointer
 
typedef LightObject Self
 

Public Member Functions

virtual ::itk::LightObject::Pointer CreateAnother (void) const
 
virtual TScalar GetAlpha () const
 
virtual const char * GetNameOfClass () const
 
virtual void SetAlpha (TScalar _arg)
 
- Public Member Functions inherited from itk::KernelTransform< TScalar, NDimensions >
virtual void ComputeJacobianWithRespectToParameters (const InputPointType &p, JacobianType &jacobian) const
 
virtual void ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianType &) const
 
void ComputeWMatrix (void)
 
virtual ::itk::LightObject::Pointer CreateAnother (void) const
 
virtual const VectorSetTypeGetDisplacements () const
 
virtual const ParametersTypeGetFixedParameters (void) const
 
virtual VectorSetTypeGetModifiableDisplacements ()
 
virtual const ParametersTypeGetParameters (void) const
 
virtual TransformCategoryType GetTransformCategory () const
 
virtual void SetFixedParameters (const ParametersType &)
 
virtual void SetParameters (const ParametersType &)
 
virtual OutputPointType TransformPoint (const InputPointType &thisPoint) const
 
virtual OutputVnlVectorType TransformVector (const InputVnlVectorType &) const
 
virtual void UpdateParameters (void) const
 
virtual PointSetTypeGetModifiableSourceLandmarks ()
 
virtual const PointSetTypeGetSourceLandmarks () const
 
virtual void SetSourceLandmarks (PointSetType *)
 
virtual PointSetTypeGetModifiableTargetLandmarks ()
 
virtual const PointSetTypeGetTargetLandmarks () const
 
virtual void SetTargetLandmarks (PointSetType *)
 
virtual OutputVectorType TransformVector (const InputVectorType &) const
 
virtual OutputCovariantVectorType TransformCovariantVector (const InputCovariantVectorType &) const
 
virtual void SetStiffness (double _arg)
 
virtual double GetStiffness () const
 
- Public Member Functions inherited from itk::Transform< TScalar, NDimensions, NDimensions >
virtual void ComputeInverseJacobianWithRespectToPosition (const InputPointType &x, JacobianType &jacobian) const
 
virtual void ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &) const =0
 
virtual void ComputeJacobianWithRespectToParametersCachedTemporaries (const InputPointType &p, JacobianType &jacobian, JacobianType &) const
 
virtual void ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianType &) const
 
unsigned int GetInputSpaceDimension (void) const
 
bool GetInverse (Self *) const
 
virtual InverseTransformBasePointer GetInverseTransform () const
 
virtual NumberOfParametersType GetNumberOfLocalParameters (void) const
 
virtual NumberOfParametersType GetNumberOfParameters (void) const
 
unsigned int GetOutputSpaceDimension (void) const
 
virtual std::string GetTransformTypeAsString () const
 
virtual bool IsLinear () const
 
 itkCloneMacro (Self)
 
virtual void SetFixedParameters (const ParametersType &)=0
 
virtual void SetParameters (const ParametersType &)=0
 
virtual void SetParametersByValue (const ParametersType &p)
 
virtual OutputCovariantVectorType TransformCovariantVector (const InputCovariantVectorType &) const
 
virtual OutputCovariantVectorType TransformCovariantVector (const InputCovariantVectorType &vector, const InputPointType &point) const
 
virtual OutputVectorPixelType TransformCovariantVector (const InputVectorPixelType &) const
 
virtual OutputVectorPixelType TransformCovariantVector (const InputVectorPixelType &vector, const InputPointType &point) const
 
virtual OutputDiffusionTensor3DType TransformDiffusionTensor3D (const InputDiffusionTensor3DType &) const
 
virtual OutputDiffusionTensor3DType TransformDiffusionTensor3D (const InputDiffusionTensor3DType &tensor, const InputPointType &point) const
 
virtual OutputVectorPixelType TransformDiffusionTensor3D (const InputVectorPixelType &) const
 
virtual OutputVectorPixelType TransformDiffusionTensor3D (const InputVectorPixelType &tensor, const InputPointType &point) const
 
virtual OutputPointType TransformPoint (const InputPointType &) const =0
 
virtual
OutputSymmetricSecondRankTensorType 
TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &tensor, const InputPointType &point) const
 
virtual
OutputSymmetricSecondRankTensorType 
TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &) const
 
virtual OutputVectorPixelType TransformSymmetricSecondRankTensor (const InputVectorPixelType &) const
 
virtual OutputVectorPixelType TransformSymmetricSecondRankTensor (const InputVectorPixelType &tensor, const InputPointType &point) const
 
virtual OutputVectorType TransformVector (const InputVectorType &) const
 
virtual OutputVectorType TransformVector (const InputVectorType &vector, const InputPointType &point) const
 
virtual OutputVnlVectorType TransformVector (const InputVnlVectorType &) const
 
virtual OutputVnlVectorType TransformVector (const InputVnlVectorType &vector, const InputPointType &point) const
 
virtual OutputVectorPixelType TransformVector (const InputVectorPixelType &) const
 
virtual OutputVectorPixelType TransformVector (const InputVectorPixelType &vector, const InputPointType &point) const
 
virtual void UpdateTransformParameters (const DerivativeType &update, TScalar factor=1.0)
 
- Public Member Functions inherited from itk::Object
unsigned long AddObserver (const EventObject &event, Command *)
 
unsigned long AddObserver (const EventObject &event, Command *) const
 
virtual void DebugOff () const
 
virtual void DebugOn () const
 
CommandGetCommand (unsigned long tag)
 
bool GetDebug () const
 
MetaDataDictionaryGetMetaDataDictionary (void)
 
const MetaDataDictionaryGetMetaDataDictionary (void) const
 
virtual ModifiedTimeType GetMTime () const
 
virtual const TimeStampGetTimeStamp () const
 
bool HasObserver (const EventObject &event) const
 
void InvokeEvent (const EventObject &)
 
void InvokeEvent (const EventObject &) const
 
virtual void Modified () const
 
virtual void Register () const ITK_OVERRIDE
 
void RemoveAllObservers ()
 
void RemoveObserver (unsigned long tag)
 
void SetDebug (bool debugFlag) const
 
void SetMetaDataDictionary (const MetaDataDictionary &rhs)
 
virtual void SetReferenceCount (int) ITK_OVERRIDE
 
virtual void UnRegister () const ITK_OVERRIDE
 
virtual void SetObjectName (std::string _arg)
 
virtual const std::string & GetObjectName () const
 
- Public Member Functions inherited from itk::LightObject
virtual void Delete ()
 
virtual int GetReferenceCount () const
 
 itkCloneMacro (Self)
 
void Print (std::ostream &os, Indent indent=0) const
 

Static Public Member Functions

static Pointer New ()
 
- Static Public Member Functions inherited from itk::KernelTransform< TScalar, NDimensions >
static Pointer New ()
 
- Static Public Member Functions inherited from itk::Object
static bool GetGlobalWarningDisplay ()
 
static void GlobalWarningDisplayOff ()
 
static void GlobalWarningDisplayOn ()
 
static Pointer New ()
 
static void SetGlobalWarningDisplay (bool flag)
 
- Static Public Member Functions inherited from itk::LightObject
static void BreakOnError ()
 
static Pointer New ()
 

Static Public Attributes

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

Protected Types

typedef Superclass::GMatrixType GMatrixType
 
- Protected Types inherited from itk::LightObject
typedef int InternalReferenceCountType
 

Protected Member Functions

virtual void ComputeG (const InputVectorType &landmarkVector, GMatrixType &gmatrix) const
 
 ElasticBodyReciprocalSplineKernelTransform ()
 
void PrintSelf (std::ostream &os, Indent indent) const
 
virtual ~ElasticBodyReciprocalSplineKernelTransform ()
 
- Protected Member Functions inherited from itk::KernelTransform< TScalar, NDimensions >
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 ()
 
 KernelTransform ()
 
void PrintSelf (std::ostream &os, Indent indent) const
 
void ReorganizeW (void)
 
virtual ~KernelTransform ()
 
- Protected Member Functions inherited from itk::Transform< TScalar, NDimensions, NDimensions >
virtual LightObject::Pointer InternalClone () const
 
OutputDiffusionTensor3DType PreservationOfPrincipalDirectionDiffusionTensor3DReorientation (const InputDiffusionTensor3DType, const JacobianType) const
 
 Transform ()
 
 Transform (NumberOfParametersType NumberOfParameters)
 
virtual ~Transform ()
 
- Protected Member Functions inherited from itk::TransformBaseTemplate< TScalar >
 TransformBaseTemplate ()
 
virtual ~TransformBaseTemplate ()
 
- Protected Member Functions inherited from itk::Object
 Object ()
 
bool PrintObservers (std::ostream &os, Indent indent) const
 
virtual void SetTimeStamp (const TimeStamp &time)
 
virtual ~Object ()
 
- Protected Member Functions inherited from itk::LightObject
 LightObject ()
 
virtual void PrintHeader (std::ostream &os, Indent indent) const
 
virtual void PrintTrailer (std::ostream &os, Indent indent) const
 
virtual ~LightObject ()
 

Protected Attributes

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

Private Member Functions

 ElasticBodyReciprocalSplineKernelTransform (const Self &)
 
void operator= (const Self &)
 

Member Typedef Documentation

template<typename TScalar = double, unsigned int NDimensions = 3>
typedef SmartPointer< const Self > itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >::ConstPointer
template<typename TScalar = double, unsigned int NDimensions = 3>
typedef Superclass::GMatrixType itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >::GMatrixType
protected
template<typename TScalar = double, unsigned int NDimensions = 3>
typedef Superclass::InputCovariantVectorType itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >::InputCovariantVectorType
template<typename TScalar = double, unsigned int NDimensions = 3>
typedef Superclass::InputPointType itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >::InputPointType
template<typename TScalar = double, unsigned int NDimensions = 3>
typedef Superclass::InputVectorType itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >::InputVectorType
template<typename TScalar = double, unsigned int NDimensions = 3>
typedef Superclass::JacobianType itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >::JacobianType

Jacobian type.

Definition at line 66 of file itkElasticBodyReciprocalSplineKernelTransform.h.

template<typename TScalar = double, unsigned int NDimensions = 3>
typedef Superclass::OutputCovariantVectorType itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >::OutputCovariantVectorType
template<typename TScalar = double, unsigned int NDimensions = 3>
typedef Superclass::OutputPointType itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >::OutputPointType
template<typename TScalar = double, unsigned int NDimensions = 3>
typedef Superclass::OutputVectorType itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >::OutputVectorType
template<typename TScalar = double, unsigned int NDimensions = 3>
typedef Superclass::ParametersType itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >::ParametersType

Parameters type.

Definition at line 63 of file itkElasticBodyReciprocalSplineKernelTransform.h.

template<typename TScalar = double, unsigned int NDimensions = 3>
typedef SmartPointer< Self > itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >::Pointer
template<typename TScalar = double, unsigned int NDimensions = 3>
typedef Superclass::ScalarType itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >::ScalarType

Scalar type.

Definition at line 57 of file itkElasticBodyReciprocalSplineKernelTransform.h.

template<typename TScalar = double, unsigned int NDimensions = 3>
typedef ElasticBodyReciprocalSplineKernelTransform itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >::Self

Standard class typedefs.

Definition at line 46 of file itkElasticBodyReciprocalSplineKernelTransform.h.

template<typename TScalar = double, unsigned int NDimensions = 3>
typedef KernelTransform< TScalar, NDimensions > itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >::Superclass

Constructor & Destructor Documentation

template<typename TScalar = double, unsigned int NDimensions = 3>
itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >::ElasticBodyReciprocalSplineKernelTransform ( )
protected
template<typename TScalar = double, unsigned int NDimensions = 3>
virtual itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >::~ElasticBodyReciprocalSplineKernelTransform ( )
protectedvirtual
template<typename TScalar = double, unsigned int NDimensions = 3>
itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >::ElasticBodyReciprocalSplineKernelTransform ( const Self )
private

Member Function Documentation

template<typename TScalar = double, unsigned int NDimensions = 3>
virtual void itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >::ComputeG ( const InputVectorType landmarkVector,
GMatrixType gmatrix 
) const
protectedvirtual

Compute G(x) For the elastic body spline, this is: G(x) = [alpha*r(x)*I - 3*x*x'/r(x)] $ G(x) = [\alpha*r(x)*I - 3*x*x'/r(x) ]$ where $\alpha = 8 ( 1 - \nu ) - 1$ $\nu$ 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

template<typename TScalar = double, unsigned int NDimensions = 3>
virtual::itk::LightObject::Pointer itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >::CreateAnother ( void  ) const
virtual

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

Reimplemented from itk::Object.

template<typename TScalar = double, unsigned int NDimensions = 3>
virtual TScalar itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >::GetAlpha ( ) const
virtual

Get alpha

template<typename TScalar = double, unsigned int NDimensions = 3>
virtual const char* itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >::GetNameOfClass ( ) const
virtual

Run-time type information (and related methods).

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

template<typename TScalar = double, unsigned int NDimensions = 3>
static Pointer itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >::New ( )
static

New macro for creation of through a Smart Pointer

template<typename TScalar = double, unsigned int NDimensions = 3>
void itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >::operator= ( const Self )
private
template<typename TScalar = double, unsigned int NDimensions = 3>
void itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >::PrintSelf ( std::ostream &  os,
Indent  indent 
) const
protectedvirtual

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.

template<typename TScalar = double, unsigned int NDimensions = 3>
virtual void itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >::SetAlpha ( TScalar  _arg)
virtual

Set alpha. Alpha is related to Poisson's Ratio ( $\nu$) as $\alpha = 8 ( 1 - \nu ) - 1$

Member Data Documentation

template<typename TScalar = double, unsigned int NDimensions = 3>
TScalar itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >::m_Alpha
protected

alpha, Poisson's ratio

Definition at line 105 of file itkElasticBodyReciprocalSplineKernelTransform.h.

template<typename TScalar = double, unsigned int NDimensions = 3>
const unsigned int itk::ElasticBodyReciprocalSplineKernelTransform< TScalar, NDimensions >::SpaceDimension = Superclass::SpaceDimension
static

Dimension of the domain space.

Definition at line 69 of file itkElasticBodyReciprocalSplineKernelTransform.h.


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