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itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions > Class Template Reference

#include <itkElasticBodyReciprocalSplineKernelTransform2.h>

Detailed Description

template<class TScalarType = double, unsigned int NDimensions = 3>
class itk::ElasticBodyReciprocalSplineKernelTransform2< 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 57 of file itkElasticBodyReciprocalSplineKernelTransform2.h.

+ Inheritance diagram for itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >:

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 ElasticBodyReciprocalSplineKernelTransform2 Self
 
typedef KernelTransform2< TScalarType, NDimensions > Superclass
 
- Public Types inherited from itk::KernelTransform2< TScalarType, NDimensions >
typedef vnl_matrix_fixed< TScalarType, NDimensions, NDimensions > AMatrixType
 
typedef vnl_vector_fixed< TScalarType, NDimensions > BMatrixType
 
typedef vnl_matrix_fixed< TScalarType, NDimensions, 1 > ColumnMatrixType
 
typedef SmartPointer< const SelfConstPointer
 
typedef vnl_matrix< TScalarType > DMatrixType
 
typedef vnl_matrix_fixed< TScalarType, NDimensions, NDimensions > GMatrixType
 
typedef vnl_matrix_fixed< TScalarType, NDimensions, NDimensions > IMatrixType
 
typedef Superclass::InputCovariantVectorType InputCovariantVectorType
 
typedef Superclass::InputPointType InputPointType
 
typedef Superclass::InputVectorType InputVectorType
 
typedef Superclass::InputVnlVectorType InputVnlVectorType
 
typedef Superclass::InternalMatrixType InternalMatrixType
 
typedef Superclass ::JacobianOfSpatialHessianType JacobianOfSpatialHessianType
 
typedef Superclass ::JacobianOfSpatialJacobianType JacobianOfSpatialJacobianType
 
typedef Superclass::JacobianType JacobianType
 
typedef vnl_matrix< TScalarType > KMatrixType
 
typedef vnl_matrix< TScalarType > LMatrixType
 
typedef Superclass ::NonZeroJacobianIndicesType NonZeroJacobianIndicesType
 
typedef Superclass::NumberOfParametersType NumberOfParametersType
 
typedef Superclass::OutputCovariantVectorType OutputCovariantVectorType
 
typedef Superclass::OutputPointType OutputPointType
 
typedef Superclass::OutputVectorType OutputVectorType
 
typedef Superclass::OutputVnlVectorType OutputVnlVectorType
 
typedef Superclass::ParametersType ParametersType
 
typedef vnl_matrix< TScalarType > PMatrixType
 
typedef SmartPointer< SelfPointer
 
typedef PointSetType::PointsContainerConstIterator PointsConstIterator
 
typedef PointSetType::PointsContainer PointsContainer
 
typedef PointSetType::Pointer PointSetPointer
 
typedef DefaultStaticMeshTraits< TScalarType, NDimensions, NDimensions, TScalarType, TScalarType > PointSetTraitsType
 
typedef PointSet< InputPointType, NDimensions, PointSetTraitsTypePointSetType
 
typedef PointSetType::PointsContainerIterator PointsIterator
 
typedef vnl_matrix_fixed< TScalarType, 1, NDimensions > RowMatrixType
 
typedef Superclass::ScalarType ScalarType
 
typedef KernelTransform2 Self
 
typedef Superclass::SpatialHessianType SpatialHessianType
 
typedef Superclass::SpatialJacobianType SpatialJacobianType
 
typedef AdvancedTransform< TScalarType, NDimensions, NDimensions > Superclass
 
typedef VectorSetType::Pointer VectorSetPointer
 
typedef VectorContainer< unsigned long, InputVectorTypeVectorSetType
 
typedef vnl_matrix< TScalarType > WMatrixType
 
typedef vnl_matrix< TScalarType > YMatrixType
 
- Public Types inherited from itk::AdvancedTransform< TScalarType, NDimensions, NDimensions >
typedef SmartPointer< const SelfConstPointer
 
typedef Superclass::DerivativeType DerivativeType
 
typedef Superclass ::InputCovariantVectorType InputCovariantVectorType
 
typedef Superclass::InputPointType InputPointType
 
typedef Superclass::InputVectorType InputVectorType
 
typedef Superclass::InputVnlVectorType InputVnlVectorType
 
typedef SpatialJacobianType::InternalMatrixType InternalMatrixType
 
typedef Superclass::InverseTransformBasePointer InverseTransformBasePointer
 
typedef Superclass::InverseTransformBaseType InverseTransformBaseType
 
typedef std::vector< SpatialHessianTypeJacobianOfSpatialHessianType
 
typedef std::vector< SpatialJacobianTypeJacobianOfSpatialJacobianType
 
typedef Superclass::JacobianType JacobianType
 
typedef OutputCovariantVectorType MovingImageGradientType
 
typedef MovingImageGradientType::ValueType MovingImageGradientValueType
 
typedef std::vector< unsigned long > NonZeroJacobianIndicesType
 
typedef Superclass::NumberOfParametersType NumberOfParametersType
 
typedef Superclass ::OutputCovariantVectorType OutputCovariantVectorType
 
typedef Superclass::OutputPointType OutputPointType
 
typedef Superclass::OutputVectorType OutputVectorType
 
typedef Superclass::OutputVnlVectorType OutputVnlVectorType
 
typedef Superclass::ParametersType ParametersType
 
typedef Superclass::ParametersValueType ParametersValueType
 
typedef SmartPointer< SelfPointer
 
typedef Superclass::ScalarType ScalarType
 
typedef AdvancedTransform Self
 
typedef FixedArray< Matrix< ScalarType, InputSpaceDimension, InputSpaceDimension >, OutputSpaceDimension > SpatialHessianType
 
typedef Matrix< ScalarType, OutputSpaceDimension, InputSpaceDimension > SpatialJacobianType
 
typedef Transform< TScalarType, NInputDimensions, NOutputDimensions > Superclass
 
typedef Transform< TScalarType, NInputDimensions, NOutputDimensions > TransformType
 
typedef TransformType::ConstPointer TransformTypeConstPointer
 
typedef TransformType::Pointer TransformTypePointer
 

Public Member Functions

virtual TScalarType GetAlpha () const
 
virtual const char * GetClassName () const
 
virtual const TScalarType GetPoissonRatio (void) const
 
 itkStaticConstMacro (SpaceDimension, unsigned int, Superclass::SpaceDimension)
 
virtual void SetAlpha (TScalarType Alpha)
 
virtual void SetPoissonRatio (const TScalarType Nu)
 
- Public Member Functions inherited from itk::KernelTransform2< TScalarType, NDimensions >
void ComputeLInverse (void)
 
void ComputeWMatrix (void)
 
virtual VectorSetTypeGetDisplacements ()
 
virtual const ParametersTypeGetFixedParameters (void) const
 
virtual void GetJacobian (const InputPointType &, JacobianType &, NonZeroJacobianIndicesType &) const
 
virtual void GetJacobianOfSpatialHessian (const InputPointType &ipp, JacobianOfSpatialHessianType &jsh, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const
 
virtual void GetJacobianOfSpatialHessian (const InputPointType &ipp, SpatialHessianType &sh, JacobianOfSpatialHessianType &jsh, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const
 
virtual void GetJacobianOfSpatialJacobian (const InputPointType &ipp, JacobianOfSpatialJacobianType &jsj, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const
 
virtual void GetJacobianOfSpatialJacobian (const InputPointType &ipp, SpatialJacobianType &sj, JacobianOfSpatialJacobianType &jsj, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const
 
virtual const std::string & GetMatrixInversionMethod ()
 
virtual NumberOfParametersType GetNumberOfParameters (void) const
 
virtual const ParametersTypeGetParameters (void) const
 
virtual PointSetTypeGetSourceLandmarks ()
 
virtual void GetSpatialHessian (const InputPointType &ipp, SpatialHessianType &sh) const
 
virtual void GetSpatialJacobian (const InputPointType &ipp, SpatialJacobianType &sj) const
 
virtual double GetStiffness ()
 
virtual PointSetTypeGetTargetLandmarks ()
 
 itkStaticConstMacro (SpaceDimension, unsigned int, NDimensions)
 
virtual void SetFixedParameters (const ParametersType &)
 
virtual void SetIdentity (void)
 
virtual void SetMatrixInversionMethod (std::string _arg)
 
virtual void SetParameters (const ParametersType &)
 
virtual void SetSourceLandmarks (PointSetType *)
 
virtual void SetStiffness (double stiffness)
 
virtual void SetTargetLandmarks (PointSetType *)
 
virtual OutputCovariantVectorType TransformCovariantVector (const InputCovariantVectorType &) const
 
virtual OutputPointType TransformPoint (const InputPointType &thisPoint) const
 
virtual OutputVectorType TransformVector (const InputVectorType &) const
 
virtual OutputVnlVectorType TransformVector (const InputVnlVectorType &) const
 
virtual void UpdateParameters (void)
 
- Public Member Functions inherited from itk::AdvancedTransform< TScalarType, NDimensions, NDimensions >
virtual void ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &) const
 
virtual void ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianType &) const
 
virtual void EvaluateJacobianWithImageGradientProduct (const InputPointType &ipp, const MovingImageGradientType &movingImageGradient, DerivativeType &imageJacobian, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const
 
virtual bool GetHasNonZeroJacobianOfSpatialHessian () const
 
virtual bool GetHasNonZeroSpatialHessian () const
 
virtual void GetJacobian (const InputPointType &ipp, JacobianType &j, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const=0
 
virtual void GetJacobianOfSpatialHessian (const InputPointType &ipp, JacobianOfSpatialHessianType &jsh, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const=0
 
virtual void GetJacobianOfSpatialHessian (const InputPointType &ipp, SpatialHessianType &sh, JacobianOfSpatialHessianType &jsh, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const=0
 
virtual void GetJacobianOfSpatialJacobian (const InputPointType &ipp, JacobianOfSpatialJacobianType &jsj, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const=0
 
virtual void GetJacobianOfSpatialJacobian (const InputPointType &ipp, SpatialJacobianType &sj, JacobianOfSpatialJacobianType &jsj, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const=0
 
virtual NumberOfParametersType GetNumberOfNonZeroJacobianIndices (void) const
 
 itkStaticConstMacro (InputSpaceDimension, unsigned int, NInputDimensions)
 
 itkStaticConstMacro (OutputSpaceDimension, unsigned int, NOutputDimensions)
 

Static Public Member Functions

static Pointer New ()
 
- Static Public Member Functions inherited from itk::KernelTransform2< TScalarType, NDimensions >
static Pointer New ()
 

Protected Types

typedef Superclass::GMatrixType GMatrixType
 
- Protected Types inherited from itk::KernelTransform2< TScalarType, NDimensions >
typedef vnl_qr< ScalarTypeQRDecompositionType
 
typedef vnl_svd< ScalarTypeSVDDecompositionType
 

Protected Member Functions

void ComputeG (const InputVectorType &x, GMatrixType &GMatrix) const
 
 ElasticBodyReciprocalSplineKernelTransform2 ()
 
void PrintSelf (std::ostream &os, Indent indent) const
 
virtual ~ElasticBodyReciprocalSplineKernelTransform2 ()
 
- Protected Member Functions inherited from itk::KernelTransform2< TScalarType, NDimensions >
void ComputeD (void)
 
virtual void ComputeDeformationContribution (const InputPointType &inputPoint, OutputPointType &result) const
 
void ComputeK (void)
 
void ComputeL (void)
 
void ComputeP (void)
 
virtual void ComputeReflexiveG (PointsIterator, GMatrixType &GMatrix) const
 
void ComputeY (void)
 
 KernelTransform2 ()
 
void PrintSelf (std::ostream &os, Indent indent) const
 
void ReorganizeW (void)
 
virtual ~KernelTransform2 ()
 
- Protected Member Functions inherited from itk::AdvancedTransform< TScalarType, NDimensions, NDimensions >
 AdvancedTransform ()
 
 AdvancedTransform (NumberOfParametersType numberOfParameters)
 
virtual ~AdvancedTransform ()
 

Protected Attributes

TScalarType m_Alpha
 
- Protected Attributes inherited from itk::KernelTransform2< TScalarType, NDimensions >
AMatrixType m_AMatrix
 
BMatrixType m_BVector
 
VectorSetPointer m_Displacements
 
DMatrixType m_DMatrix
 
bool m_FastComputationPossible
 
IMatrixType m_I
 
KMatrixType m_KMatrix
 
bool m_LInverseComputed
 
LMatrixType m_LMatrix
 
bool m_LMatrixComputed
 
bool m_LMatrixDecompositionComputed
 
QRDecompositionTypem_LMatrixDecompositionQR
 
SVDDecompositionTypem_LMatrixDecompositionSVD
 
LMatrixType m_LMatrixInverse
 
NonZeroJacobianIndicesType m_NonZeroJacobianIndices
 
NonZeroJacobianIndicesType m_NonZeroJacobianIndicesTemp
 
PMatrixType m_PMatrix
 
double m_Stiffness
 
WMatrixType m_WMatrix
 
bool m_WMatrixComputed
 
YMatrixType m_YMatrix
 
- Protected Attributes inherited from itk::AdvancedTransform< TScalarType, NDimensions, NDimensions >
bool m_HasNonZeroJacobianOfSpatialHessian
 
bool m_HasNonZeroSpatialHessian
 

Private Member Functions

 ElasticBodyReciprocalSplineKernelTransform2 (const Self &)
 
void operator= (const Self &)
 

Additional Inherited Members

- Data Fields inherited from itk::KernelTransform2< TScalarType, NDimensions >
PointSetPointer m_SourceLandmarks
 
PointSetPointer m_TargetLandmarks
 

Member Typedef Documentation

◆ ConstPointer

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef SmartPointer< const Self > itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >::ConstPointer

◆ GMatrixType

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::GMatrixType itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >::GMatrixType
protected

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

Definition at line 137 of file itkElasticBodyReciprocalSplineKernelTransform2.h.

◆ InputCovariantVectorType

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::InputCovariantVectorType itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >::InputCovariantVectorType

◆ InputPointType

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::InputPointType itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >::InputPointType

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

Definition at line 122 of file itkElasticBodyReciprocalSplineKernelTransform2.h.

◆ InputVectorType

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::InputVectorType itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >::InputVectorType

◆ JacobianType

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::JacobianType itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >::JacobianType

Jacobian type.

Definition at line 83 of file itkElasticBodyReciprocalSplineKernelTransform2.h.

◆ OutputCovariantVectorType

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::OutputCovariantVectorType itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >::OutputCovariantVectorType

◆ OutputPointType

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::OutputPointType itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >::OutputPointType

◆ OutputVectorType

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::OutputVectorType itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >::OutputVectorType

◆ ParametersType

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::ParametersType itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >::ParametersType

Parameters type.

Definition at line 80 of file itkElasticBodyReciprocalSplineKernelTransform2.h.

◆ Pointer

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef SmartPointer< Self > itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >::Pointer

◆ ScalarType

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::ScalarType itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >::ScalarType

Scalar type.

Definition at line 74 of file itkElasticBodyReciprocalSplineKernelTransform2.h.

◆ Self

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef ElasticBodyReciprocalSplineKernelTransform2 itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >::Self

Standard class typedefs.

Definition at line 63 of file itkElasticBodyReciprocalSplineKernelTransform2.h.

◆ Superclass

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef KernelTransform2< TScalarType, NDimensions > itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >::Superclass

Constructor & Destructor Documentation

◆ ElasticBodyReciprocalSplineKernelTransform2() [1/2]

template<class TScalarType = double, unsigned int NDimensions = 3>
itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >::ElasticBodyReciprocalSplineKernelTransform2 ( )
protected

◆ ~ElasticBodyReciprocalSplineKernelTransform2()

template<class TScalarType = double, unsigned int NDimensions = 3>
virtual itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >::~ElasticBodyReciprocalSplineKernelTransform2 ( )
inlineprotectedvirtual

◆ ElasticBodyReciprocalSplineKernelTransform2() [2/2]

template<class TScalarType = double, unsigned int NDimensions = 3>
itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >::ElasticBodyReciprocalSplineKernelTransform2 ( const Self )
private

Member Function Documentation

◆ ComputeG()

template<class TScalarType = double, unsigned int NDimensions = 3>
void itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >::ComputeG ( const InputVectorType x,
GMatrixType GMatrix 
) const
protectedvirtual

Compute G(x) For the elastic body spline, this is:

\[ G(x) = [\alpha*r(x)*I - 3*x*x'/r(x) ] \]

where $\alpha = 8 ( 1 - \nu ) - 1$, $\nu$ is Poisson's Ratio, $r(x) = \sqrt{ x_1^2 + x_2^2 + x_3^2 } $ and $I$ is the identity matrix.

Reimplemented from itk::KernelTransform2< TScalarType, NDimensions >.

◆ GetAlpha()

template<class TScalarType = double, unsigned int NDimensions = 3>
virtual TScalarType itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >::GetAlpha ( ) const
virtual

◆ GetClassName()

template<class TScalarType = double, unsigned int NDimensions = 3>
virtual const char* itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >::GetClassName ( ) const
virtual

Run-time type information (and related methods).

Reimplemented from itk::KernelTransform2< TScalarType, NDimensions >.

◆ GetPoissonRatio()

template<class TScalarType = double, unsigned int NDimensions = 3>
virtual const TScalarType itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >::GetPoissonRatio ( void  ) const
inlinevirtual

◆ itkStaticConstMacro()

template<class TScalarType = double, unsigned int NDimensions = 3>
itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >::itkStaticConstMacro ( SpaceDimension  ,
unsigned  int,
Superclass::SpaceDimension   
)

Dimension of the domain space.

◆ New()

template<class TScalarType = double, unsigned int NDimensions = 3>
static Pointer itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >::New ( )
static

New macro for creation of through a Smart Pointer

◆ operator=()

template<class TScalarType = double, unsigned int NDimensions = 3>
void itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >::operator= ( const Self )
private

◆ PrintSelf()

template<class TScalarType = double, unsigned int NDimensions = 3>
void itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >::PrintSelf ( std::ostream &  os,
Indent  indent 
) const
protected

◆ SetAlpha()

template<class TScalarType = double, unsigned int NDimensions = 3>
virtual void itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >::SetAlpha ( TScalarType  Alpha)
inlinevirtual

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

Reimplemented from itk::KernelTransform2< TScalarType, NDimensions >.

Definition at line 92 of file itkElasticBodyReciprocalSplineKernelTransform2.h.

◆ SetPoissonRatio()

template<class TScalarType = double, unsigned int NDimensions = 3>
virtual void itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >::SetPoissonRatio ( const TScalarType  Nu)
inlinevirtual

Convenience method

Reimplemented from itk::KernelTransform2< TScalarType, NDimensions >.

Definition at line 105 of file itkElasticBodyReciprocalSplineKernelTransform2.h.

Field Documentation

◆ m_Alpha

template<class TScalarType = double, unsigned int NDimensions = 3>
TScalarType itk::ElasticBodyReciprocalSplineKernelTransform2< TScalarType, NDimensions >::m_Alpha
protected

alpha, Poisson's ratio

Definition at line 150 of file itkElasticBodyReciprocalSplineKernelTransform2.h.



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