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itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions > Class Template Reference
Components » Transforms

#include <itkElasticBodySplineKernelTransform2.h>

Detailed Description

template<class TScalarType = double, unsigned int NDimensions = 3>
class itk::ElasticBodySplineKernelTransform2< 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 itkElasticBodySplineKernelTransform2.h.

+ Inheritance diagram for itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >:

Public Types

typedef SmartPointer< const Self > ConstPointer
 
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< Self > Pointer
 
typedef Superclass::ScalarType ScalarType
 
typedef ElasticBodySplineKernelTransform2 Self
 
typedef KernelTransform2< TScalarType, NDimensions > Superclass
 
- Public Types inherited from itk::KernelTransform2< double, 3 >
typedef vnl_matrix_fixed< double, NDimensions, NDimensions > AMatrixType
 
typedef vnl_vector_fixed< double, NDimensions > BMatrixType
 
typedef vnl_matrix_fixed< double, NDimensions, 1 > ColumnMatrixType
 
typedef SmartPointer< const Self > ConstPointer
 
typedef vnl_matrix< double > DMatrixType
 
typedef vnl_matrix_fixed< double, NDimensions, NDimensions > GMatrixType
 
typedef vnl_matrix_fixed< double, 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< double > KMatrixType
 
typedef vnl_matrix< double > 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< double > PMatrixType
 
typedef SmartPointer< Self > Pointer
 
typedef PointSetType::PointsContainerConstIterator PointsConstIterator
 
typedef PointSetType::PointsContainer PointsContainer
 
typedef PointSetType::Pointer PointSetPointer
 
typedef DefaultStaticMeshTraits< double, NDimensions, NDimensions, double, double > PointSetTraitsType
 
typedef PointSet< InputPointType, NDimensions, PointSetTraitsType > PointSetType
 
typedef PointSetType::PointsContainerIterator PointsIterator
 
typedef vnl_matrix_fixed< double, 1, NDimensions > RowMatrixType
 
typedef Superclass::ScalarType ScalarType
 
typedef KernelTransform2 Self
 
typedef Superclass::SpatialHessianType SpatialHessianType
 
typedef Superclass::SpatialJacobianType SpatialJacobianType
 
typedef AdvancedTransform< double, NDimensions, NDimensions > Superclass
 
typedef VectorSetType::Pointer VectorSetPointer
 
typedef VectorContainer< unsigned long, InputVectorType > VectorSetType
 
typedef vnl_matrix< double > WMatrixType
 
typedef vnl_matrix< double > YMatrixType
 
- Public Types inherited from itk::AdvancedTransform< double, NDimensions, NDimensions >
typedef SmartPointer< const Self > ConstPointer
 
typedef Superclass::DerivativeType DerivativeType
 
typedef Superclass::FixedParametersType FixedParametersType
 
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< SpatialHessianType > JacobianOfSpatialHessianType
 
typedef std::vector< SpatialJacobianType > JacobianOfSpatialJacobianType
 
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< Self > Pointer
 
typedef Superclass::ScalarType ScalarType
 
typedef AdvancedTransform Self
 
typedef FixedArray< Matrix< ScalarType, InputSpaceDimension, InputSpaceDimension >, OutputSpaceDimension > SpatialHessianType
 
typedef Matrix< ScalarType, OutputSpaceDimension, InputSpaceDimension > SpatialJacobianType
 
typedef Transform< double, NInputDimensions, NOutputDimensions > Superclass
 
typedef Transform< double, NInputDimensions, NOutputDimensions > TransformType
 
typedef TransformType::ConstPointer TransformTypeConstPointer
 
typedef TransformType::Pointer TransformTypePointer
 

Public Member Functions

 elxOverrideGetConstMacro (Alpha, TScalarType)
 
virtual const char * GetClassName () const
 
const TScalarType GetPoissonRatio (void) const override
 
 itkStaticConstMacro (SpaceDimension, unsigned int, Superclass::SpaceDimension)
 
void SetAlpha (TScalarType Alpha) override
 
void SetPoissonRatio (const TScalarType Nu) override
 
- Public Member Functions inherited from itk::KernelTransform2< double, 3 >
void ComputeLInverse (void)
 
void ComputeWMatrix (void)
 
virtual double GetAlpha (void) const
 
virtual const char * GetClassName () const
 
const ParametersType & GetFixedParameters (void) const override
 
void GetJacobian (const InputPointType &, JacobianType &, NonZeroJacobianIndicesType &) const override
 
void GetJacobianOfSpatialHessian (const InputPointType &ipp, JacobianOfSpatialHessianType &jsh, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const override
 
void GetJacobianOfSpatialHessian (const InputPointType &ipp, SpatialHessianType &sh, JacobianOfSpatialHessianType &jsh, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const override
 
void GetJacobianOfSpatialJacobian (const InputPointType &ipp, JacobianOfSpatialJacobianType &jsj, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const override
 
void GetJacobianOfSpatialJacobian (const InputPointType &ipp, SpatialJacobianType &sj, JacobianOfSpatialJacobianType &jsj, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const override
 
virtual const std::string & GetMatrixInversionMethod ()
 
NumberOfParametersType GetNumberOfParameters (void) const override
 
const ParametersType & GetParameters (void) const override
 
virtual const double GetPoissonRatio (void) const
 
void GetSpatialHessian (const InputPointType &ipp, SpatialHessianType &sh) const override
 
void GetSpatialJacobian (const InputPointType &ipp, SpatialJacobianType &sj) const override
 
virtual double GetStiffness ()
 
 itkGetModifiableObjectMacro (Displacements, VectorSetType)
 
 itkGetModifiableObjectMacro (SourceLandmarks, PointSetType)
 
 itkGetModifiableObjectMacro (TargetLandmarks, PointSetType)
 
 itkStaticConstMacro (SpaceDimension, unsigned int, NDimensions)
 
virtual void SetAlpha (double)
 
void SetFixedParameters (const ParametersType &) override
 
virtual void SetIdentity (void)
 
virtual void SetMatrixInversionMethod (std::string _arg)
 
void SetParameters (const ParametersType &) override
 
virtual void SetPoissonRatio (double _arg)
 
virtual void SetSourceLandmarks (PointSetType *)
 
virtual void SetStiffness (double stiffness)
 
virtual void SetTargetLandmarks (PointSetType *)
 
OutputCovariantVectorType TransformCovariantVector (const InputCovariantVectorType &) const override
 
OutputPointType TransformPoint (const InputPointType &thisPoint) const override
 
OutputVectorType TransformVector (const InputVectorType &) const override
 
OutputVnlVectorType TransformVector (const InputVnlVectorType &) const override
 
virtual void UpdateParameters (void)
 
- Public Member Functions inherited from itk::AdvancedTransform< double, NDimensions, NDimensions >
void ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &) const override
 
virtual void EvaluateJacobianWithImageGradientProduct (const InputPointType &ipp, const MovingImageGradientType &movingImageGradient, DerivativeType &imageJacobian, NonZeroJacobianIndicesType &nonZeroJacobianIndices) const
 
virtual const char * GetClassName () 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
 
virtual void GetSpatialHessian (const InputPointType &ipp, SpatialHessianType &sh) const=0
 
virtual void GetSpatialJacobian (const InputPointType &ipp, SpatialJacobianType &sj) const=0
 
 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< double, 3 >
static Pointer New ()
 

Protected Types

typedef Superclass::GMatrixType GMatrixType
 
- Protected Types inherited from itk::KernelTransform2< double, 3 >
typedef vnl_qr< ScalarType > QRDecompositionType
 
typedef vnl_svd< ScalarType > SVDDecompositionType
 

Protected Member Functions

void ComputeG (const InputVectorType &x, GMatrixType &GMatrix) const override
 
 ElasticBodySplineKernelTransform2 ()
 
void PrintSelf (std::ostream &os, Indent indent) const override
 
 ~ElasticBodySplineKernelTransform2 () override
 
- Protected Member Functions inherited from itk::KernelTransform2< double, 3 >
void ComputeD (void)
 
virtual void ComputeDeformationContribution (const InputPointType &inputPoint, OutputPointType &result) const
 
virtual void ComputeG (const InputVectorType &landmarkVector, GMatrixType &GMatrix) 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 override
 
void ReorganizeW (void)
 
 ~KernelTransform2 () override
 
- Protected Member Functions inherited from itk::AdvancedTransform< double, NDimensions, NDimensions >
 AdvancedTransform ()
 
 AdvancedTransform (NumberOfParametersType numberOfParameters)
 
 ~AdvancedTransform () override
 

Protected Attributes

TScalarType m_Alpha
 
- Protected Attributes inherited from itk::KernelTransform2< double, 3 >
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
 
QRDecompositionType * m_LMatrixDecompositionQR
 
SVDDecompositionType * m_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< double, NDimensions, NDimensions >
bool m_HasNonZeroJacobianOfSpatialHessian
 
bool m_HasNonZeroSpatialHessian
 

Private Member Functions

 ElasticBodySplineKernelTransform2 (const Self &)
 
void operator= (const Self &)
 

Additional Inherited Members

- Data Fields inherited from itk::KernelTransform2< double, 3 >
PointSetPointer m_SourceLandmarks
 
PointSetPointer m_TargetLandmarks
 

Member Typedef Documentation

◆ ConstPointer

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef SmartPointer< const Self > itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::ConstPointer

Definition at line 68 of file itkElasticBodySplineKernelTransform2.h.

◆ GMatrixType

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::GMatrixType itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::GMatrixType
protected

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

Definition at line 137 of file itkElasticBodySplineKernelTransform2.h.

◆ InputCovariantVectorType

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::InputCovariantVectorType itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::InputCovariantVectorType

Definition at line 126 of file itkElasticBodySplineKernelTransform2.h.

◆ InputPointType

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::InputPointType itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::InputPointType

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

Definition at line 122 of file itkElasticBodySplineKernelTransform2.h.

◆ InputVectorType

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::InputVectorType itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::InputVectorType

Definition at line 124 of file itkElasticBodySplineKernelTransform2.h.

◆ JacobianType

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::JacobianType itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::JacobianType

Jacobian type.

Definition at line 83 of file itkElasticBodySplineKernelTransform2.h.

◆ OutputCovariantVectorType

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::OutputCovariantVectorType itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::OutputCovariantVectorType

Definition at line 127 of file itkElasticBodySplineKernelTransform2.h.

◆ OutputPointType

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::OutputPointType itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::OutputPointType

Definition at line 123 of file itkElasticBodySplineKernelTransform2.h.

◆ OutputVectorType

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::OutputVectorType itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::OutputVectorType

Definition at line 125 of file itkElasticBodySplineKernelTransform2.h.

◆ ParametersType

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::ParametersType itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::ParametersType

Parameters type.

Definition at line 80 of file itkElasticBodySplineKernelTransform2.h.

◆ Pointer

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef SmartPointer< Self > itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::Pointer

Definition at line 67 of file itkElasticBodySplineKernelTransform2.h.

◆ ScalarType

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef Superclass::ScalarType itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::ScalarType

Scalar type.

Definition at line 77 of file itkElasticBodySplineKernelTransform2.h.

◆ Self

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef ElasticBodySplineKernelTransform2 itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::Self

Standard class typedefs.

Definition at line 63 of file itkElasticBodySplineKernelTransform2.h.

◆ Superclass

template<class TScalarType = double, unsigned int NDimensions = 3>
typedef KernelTransform2< TScalarType, NDimensions > itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::Superclass

Definition at line 65 of file itkElasticBodySplineKernelTransform2.h.

Constructor & Destructor Documentation

◆ ElasticBodySplineKernelTransform2() [1/2]

template<class TScalarType = double, unsigned int NDimensions = 3>
itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::ElasticBodySplineKernelTransform2 ( )
protected

◆ ~ElasticBodySplineKernelTransform2()

template<class TScalarType = double, unsigned int NDimensions = 3>
itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::~ElasticBodySplineKernelTransform2 ( )
inlineoverrideprotected

Definition at line 132 of file itkElasticBodySplineKernelTransform2.h.

◆ ElasticBodySplineKernelTransform2() [2/2]

template<class TScalarType = double, unsigned int NDimensions = 3>
itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::ElasticBodySplineKernelTransform2 ( const Self &  )
private

Member Function Documentation

◆ ComputeG()

template<class TScalarType = double, unsigned int NDimensions = 3>
void itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::ComputeG ( const InputVectorType &  x,
GMatrixType &  GMatrix 
) const
overrideprotected

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

\[ G(x) = [\alpha*r(x)^2*I - 3*x*x']*r(x) \]

where $\alpha = 12 ( 1 - \nu ) - 1$, $\nu$ is Poisson's Ratio, $ r(x) = \sqrt{ x_1^2 + x_2^2 + x_3^2 } $ and $I$ is the identity matrix.

◆ elxOverrideGetConstMacro()

template<class TScalarType = double, unsigned int NDimensions = 3>
itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::elxOverrideGetConstMacro ( Alpha  ,
TScalarType   
)

Get alpha

◆ GetClassName()

template<class TScalarType = double, unsigned int NDimensions = 3>
virtual const char * itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::GetClassName ( ) const
virtual

Run-time type information (and related methods).

Reimplemented from itk::KernelTransform2< double, 3 >.

◆ GetPoissonRatio()

template<class TScalarType = double, unsigned int NDimensions = 3>
const TScalarType itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::GetPoissonRatio ( void  ) const
inlineoverridevirtual

Reimplemented from itk::KernelTransform2< double, 3 >.

Definition at line 114 of file itkElasticBodySplineKernelTransform2.h.

◆ itkStaticConstMacro()

template<class TScalarType = double, unsigned int NDimensions = 3>
itk::ElasticBodySplineKernelTransform2< 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::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::New ( )
static

New macro for creation of through a Smart Pointer

◆ operator=()

template<class TScalarType = double, unsigned int NDimensions = 3>
void itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::operator= ( const Self &  )
private

◆ PrintSelf()

template<class TScalarType = double, unsigned int NDimensions = 3>
void itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::PrintSelf ( std::ostream &  os,
Indent  indent 
) const
overrideprotected

◆ SetAlpha()

template<class TScalarType = double, unsigned int NDimensions = 3>
void itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::SetAlpha ( TScalarType  Alpha)
inlineoverride

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

Definition at line 92 of file itkElasticBodySplineKernelTransform2.h.

◆ SetPoissonRatio()

template<class TScalarType = double, unsigned int NDimensions = 3>
void itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::SetPoissonRatio ( const TScalarType  Nu)
inlineoverride

Convenience method

Definition at line 105 of file itkElasticBodySplineKernelTransform2.h.

Field Documentation

◆ m_Alpha

template<class TScalarType = double, unsigned int NDimensions = 3>
TScalarType itk::ElasticBodySplineKernelTransform2< TScalarType, NDimensions >::m_Alpha
protected

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

Definition at line 152 of file itkElasticBodySplineKernelTransform2.h.


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