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itk::ElasticBodyReciprocalSplineKernelTransform< TParametersValueType, NDimensions > Class Template Reference

#include <itkElasticBodyReciprocalSplineKernelTransform.h>

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

Detailed Description

template<typename TParametersValueType = double, unsigned int NDimensions = 3>
class itk::ElasticBodyReciprocalSplineKernelTransform< TParametersValueType, 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 39 of file itkElasticBodyReciprocalSplineKernelTransform.h.

Public Types

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

Public Member Functions

virtual ::itk::LightObject::Pointer CreateAnother () const
 
virtual TParametersValueType GetAlpha () const
 
virtual const char * GetNameOfClass () const
 
virtual void SetAlpha (TParametersValueType _arg)
 
- Public Member Functions inherited from itk::KernelTransform< TParametersValueType, NDimensions >
void ComputeJacobianWithRespectToParameters (const InputPointType &p, JacobianType &jacobian) const override
 
void ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianPositionType &) const override
 
void ComputeWMatrix ()
 
virtual ::itk::LightObject::Pointer CreateAnother () const
 
virtual const VectorSetTypeGetDisplacements () const
 
const FixedParametersTypeGetFixedParameters () const override
 
virtual VectorSetTypeGetModifiableDisplacements ()
 
const ParametersTypeGetParameters () const override
 
TransformCategoryType GetTransformCategory () const override
 
void SetFixedParameters (const FixedParametersType &) override
 
void SetParameters (const ParametersType &) override
 
OutputPointType TransformPoint (const InputPointType &thisPoint) const override
 
OutputVnlVectorType TransformVector (const InputVnlVectorType &) const override
 
virtual void UpdateParameters () const
 
virtual PointSetTypeGetModifiableSourceLandmarks ()
 
virtual const PointSetTypeGetSourceLandmarks () const
 
virtual void SetSourceLandmarks (PointSetType *)
 
virtual PointSetTypeGetModifiableTargetLandmarks ()
 
virtual const PointSetTypeGetTargetLandmarks () const
 
virtual void SetTargetLandmarks (PointSetType *)
 
OutputVectorType TransformVector (const InputVectorType &) const override
 
OutputCovariantVectorType TransformCovariantVector (const InputCovariantVectorType &) const override
 
virtual void SetStiffness (double _arg)
 
virtual double GetStiffness () const
 
- Public Member Functions inherited from itk::Transform< TParametersValueType, NDimensions, NDimensions >
virtual void ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &) const =0
 
virtual void ComputeJacobianWithRespectToParametersCachedTemporaries (const InputPointType &p, JacobianType &jacobian, JacobianType &) const
 
void CopyInFixedParameters (const FixedParametersValueType *const begin, const FixedParametersValueType *const end) override
 
void CopyInParameters (const ParametersValueType *const begin, const ParametersValueType *const end) override
 
const FixedParametersTypeGetFixedParameters () const override
 
unsigned int GetInputSpaceDimension () const override
 
bool GetInverse (Self *) const
 
virtual InverseTransformBasePointer GetInverseTransform () const
 
virtual NumberOfParametersType GetNumberOfFixedParameters () const
 
virtual NumberOfParametersType GetNumberOfLocalParameters () const
 
NumberOfParametersType GetNumberOfParameters () const override
 
unsigned int GetOutputSpaceDimension () const override
 
const ParametersTypeGetParameters () const override
 
TransformCategoryType GetTransformCategory () const override
 
std::string GetTransformTypeAsString () const override
 
virtual bool IsLinear () const
 
 itkCloneMacro (Self)
 
void SetFixedParameters (const FixedParametersType &) override=0
 
void SetParameters (const ParametersType &) override=0
 
void SetParametersByValue (const ParametersType &p) override
 
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, ParametersValueType factor=1.0)
 
virtual void ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianPositionType &) const
 
 itkLegacyMacro (virtual void ComputeJacobianWithRespectToPosition(const InputPointType &x, JacobianType &jacobian) const)
 
 itkLegacyMacro (virtual void ComputeInverseJacobianWithRespectToPosition(const InputPointType &x, JacobianType &jacobian) const)
 
virtual void ComputeInverseJacobianWithRespectToPosition (const InputPointType &x, InverseJacobianPositionType &jacobian) const
 
- 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 ()
 
const MetaDataDictionaryGetMetaDataDictionary () 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
 
void Register () const override
 
void RemoveAllObservers ()
 
void RemoveObserver (unsigned long tag)
 
void SetDebug (bool debugFlag) const
 
void SetReferenceCount (int) override
 
void UnRegister () const noexceptoverride
 
void SetMetaDataDictionary (const MetaDataDictionary &rhs)
 
void SetMetaDataDictionary (MetaDataDictionary &&rrhs)
 
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< TParametersValueType, 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 constexpr unsigned int SpaceDimension = Superclass::SpaceDimension
 
- Static Public Attributes inherited from itk::KernelTransform< TParametersValueType, NDimensions >
static constexpr unsigned int SpaceDimension = NDimensions
 
- Static Public Attributes inherited from itk::Transform< TParametersValueType, NDimensions, NDimensions >
static constexpr unsigned int InputSpaceDimension
 
static constexpr unsigned int OutputSpaceDimension
 

Protected Types

using GMatrixType = typename Superclass::GMatrixType
 

Protected Member Functions

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

TParametersValueType m_Alpha
 
- Protected Attributes inherited from itk::KernelTransform< TParametersValueType, 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< TParametersValueType, NDimensions, NDimensions >
DirectionChangeMatrix m_DirectionChange
 
FixedParametersType m_FixedParameters
 
ParametersType m_Parameters
 
- Protected Attributes inherited from itk::LightObject
std::atomic< int > m_ReferenceCount
 

Member Typedef Documentation

template<typename TParametersValueType = double, unsigned int NDimensions = 3>
using itk::ElasticBodyReciprocalSplineKernelTransform< TParametersValueType, NDimensions >::ConstPointer = SmartPointer<const Self>
template<typename TParametersValueType = double, unsigned int NDimensions = 3>
using itk::ElasticBodyReciprocalSplineKernelTransform< TParametersValueType, NDimensions >::FixedParametersType = typename Superclass::FixedParametersType
template<typename TParametersValueType = double, unsigned int NDimensions = 3>
using itk::ElasticBodyReciprocalSplineKernelTransform< TParametersValueType, NDimensions >::GMatrixType = typename Superclass::GMatrixType
protected
template<typename TParametersValueType = double, unsigned int NDimensions = 3>
using itk::ElasticBodyReciprocalSplineKernelTransform< TParametersValueType, NDimensions >::InputCovariantVectorType = typename Superclass::InputCovariantVectorType
template<typename TParametersValueType = double, unsigned int NDimensions = 3>
using itk::ElasticBodyReciprocalSplineKernelTransform< TParametersValueType, NDimensions >::InputPointType = typename Superclass::InputPointType
template<typename TParametersValueType = double, unsigned int NDimensions = 3>
using itk::ElasticBodyReciprocalSplineKernelTransform< TParametersValueType, NDimensions >::InputVectorType = typename Superclass::InputVectorType
template<typename TParametersValueType = double, unsigned int NDimensions = 3>
using itk::ElasticBodyReciprocalSplineKernelTransform< TParametersValueType, NDimensions >::InverseJacobianPositionType = typename Superclass::InverseJacobianPositionType
template<typename TParametersValueType = double, unsigned int NDimensions = 3>
using itk::ElasticBodyReciprocalSplineKernelTransform< TParametersValueType, NDimensions >::JacobianPositionType = typename Superclass::JacobianPositionType
template<typename TParametersValueType = double, unsigned int NDimensions = 3>
using itk::ElasticBodyReciprocalSplineKernelTransform< TParametersValueType, NDimensions >::JacobianType = typename Superclass::JacobianType

Jacobian type.

Definition at line 67 of file itkElasticBodyReciprocalSplineKernelTransform.h.

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

Parameters type.

Definition at line 63 of file itkElasticBodyReciprocalSplineKernelTransform.h.

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

Scalar type.

Definition at line 60 of file itkElasticBodyReciprocalSplineKernelTransform.h.

template<typename TParametersValueType = double, unsigned int NDimensions = 3>
using itk::ElasticBodyReciprocalSplineKernelTransform< TParametersValueType, NDimensions >::Self = ElasticBodyReciprocalSplineKernelTransform

Standard class type aliases.

Definition at line 46 of file itkElasticBodyReciprocalSplineKernelTransform.h.

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

Constructor & Destructor Documentation

template<typename TParametersValueType = double, unsigned int NDimensions = 3>
itk::ElasticBodyReciprocalSplineKernelTransform< TParametersValueType, NDimensions >::ElasticBodyReciprocalSplineKernelTransform ( )
protected
template<typename TParametersValueType = double, unsigned int NDimensions = 3>
itk::ElasticBodyReciprocalSplineKernelTransform< TParametersValueType, NDimensions >::~ElasticBodyReciprocalSplineKernelTransform ( )
overrideprotecteddefault

Member Function Documentation

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

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 TParametersValueType = double, unsigned int NDimensions = 3>
virtual::itk::LightObject::Pointer itk::ElasticBodyReciprocalSplineKernelTransform< TParametersValueType, NDimensions >::CreateAnother ( ) 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 TParametersValueType = double, unsigned int NDimensions = 3>
virtual TParametersValueType itk::ElasticBodyReciprocalSplineKernelTransform< TParametersValueType, NDimensions >::GetAlpha ( ) const
virtual

Get alpha

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

Run-time type information (and related methods).

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

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

New macro for creation of through a Smart Pointer

template<typename TParametersValueType = double, unsigned int NDimensions = 3>
void itk::ElasticBodyReciprocalSplineKernelTransform< TParametersValueType, NDimensions >::PrintSelf ( std::ostream &  os,
Indent  indent 
) const
overrideprotectedvirtual

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

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

Member Data Documentation

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

alpha, Poisson's ratio

Definition at line 108 of file itkElasticBodyReciprocalSplineKernelTransform.h.

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

Dimension of the domain space.

Definition at line 72 of file itkElasticBodyReciprocalSplineKernelTransform.h.


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