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itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions > Class Template Reference

#include <itkThinPlateSplineKernelTransform2.h>

Detailed Description

template<class TScalarType, unsigned int NDimensions = 3>
class itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >

This class defines the thin plate spline (TPS) 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

Definition at line 52 of file itkThinPlateSplineKernelTransform2.h.

Inheritance diagram for itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >:
Inheritance graph
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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::PointsIterator PointsIterator
 
typedef Superclass::ScalarType ScalarType
 
typedef ThinPlateSplineKernelTransform2 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 const char * GetClassName () const
 
 itkStaticConstMacro (SpaceDimension, unsigned int, Superclass::SpaceDimension)
 
- Public Member Functions inherited from itk::KernelTransform2< TScalarType, NDimensions >
void ComputeLInverse (void)
 
void ComputeWMatrix (void)
 
virtual TScalarType GetAlpha (void) const
 
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 const TScalarType GetPoissonRatio (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 SetAlpha (TScalarType)
 
virtual void SetFixedParameters (const ParametersType &)
 
virtual void SetIdentity (void)
 
virtual void SetMatrixInversionMethod (std::string _arg)
 
virtual void SetParameters (const ParametersType &)
 
virtual void SetPoissonRatio (TScalarType _arg)
 
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 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

virtual void ComputeDeformationContribution (const InputPointType &inputPoint, OutputPointType &result) const
 
void ComputeG (const InputVectorType &x, GMatrixType &GMatrix) const
 
 ThinPlateSplineKernelTransform2 ()
 
virtual ~ThinPlateSplineKernelTransform2 ()
 
- Protected Member Functions inherited from itk::KernelTransform2< TScalarType, NDimensions >
void ComputeD (void)
 
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 ()
 

Private Member Functions

void operator= (const Self &)
 
 ThinPlateSplineKernelTransform2 (const Self &)
 

Additional Inherited Members

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

Member Typedef Documentation

template<class TScalarType , unsigned int NDimensions = 3>
typedef SmartPointer< const Self > itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::ConstPointer

Definition at line 61 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>
typedef Superclass::GMatrixType itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::GMatrixType
protected

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

Definition at line 105 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>
typedef Superclass::InputCovariantVectorType itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::InputCovariantVectorType

Definition at line 88 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>
typedef Superclass::InputPointType itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::InputPointType

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

Definition at line 84 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>
typedef Superclass::InputVectorType itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::InputVectorType

Definition at line 86 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>
typedef Superclass::JacobianType itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::JacobianType

Jacobian Type

Definition at line 76 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>
typedef Superclass::OutputCovariantVectorType itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::OutputCovariantVectorType

Definition at line 89 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>
typedef Superclass::OutputPointType itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::OutputPointType

Definition at line 85 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>
typedef Superclass::OutputVectorType itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::OutputVectorType

Definition at line 87 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>
typedef Superclass::ParametersType itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::ParametersType

Parameters type.

Definition at line 73 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>
typedef SmartPointer< Self > itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::Pointer

Definition at line 60 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>
typedef Superclass::PointsIterator itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::PointsIterator

Definition at line 90 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>
typedef Superclass::ScalarType itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::ScalarType

Scalar type.

Definition at line 67 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>
typedef ThinPlateSplineKernelTransform2 itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::Self

Standard class typedefs.

Definition at line 58 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>
typedef KernelTransform2< TScalarType, NDimensions > itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::Superclass

Definition at line 59 of file itkThinPlateSplineKernelTransform2.h.

Constructor & Destructor Documentation

template<class TScalarType , unsigned int NDimensions = 3>
itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::ThinPlateSplineKernelTransform2 ( )
inlineprotected

Definition at line 94 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>
virtual itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::~ThinPlateSplineKernelTransform2 ( )
inlineprotectedvirtual

Definition at line 100 of file itkThinPlateSplineKernelTransform2.h.

template<class TScalarType , unsigned int NDimensions = 3>
itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::ThinPlateSplineKernelTransform2 ( const Self )
private

Member Function Documentation

template<class TScalarType , unsigned int NDimensions = 3>
virtual void itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::ComputeDeformationContribution ( const InputPointType inputPoint,
OutputPointType result 
) const
protectedvirtual

Compute the contribution of the landmarks weighted by the kernel function to the global deformation of the space.

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

template<class TScalarType , unsigned int NDimensions = 3>
void itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::ComputeG ( const InputVectorType x,
GMatrixType GMatrix 
) const
protectedvirtual

Compute G(x) For the thin plate spline, this is: G(x) = r(x)*I $ G(x) = r(x)*I $ where r(x) = Euclidean norm = sqrt[x1^2 + x2^2 + x3^2]

\[ r(x) = \sqrt{ x_1^2 + x_2^2 + x_3^2 } \]

I = identity matrix.

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

template<class TScalarType , unsigned int NDimensions = 3>
virtual const char* itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::GetClassName ( ) const
virtual

Run-time type information (and related methods).

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

template<class TScalarType , unsigned int NDimensions = 3>
itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::itkStaticConstMacro ( SpaceDimension  ,
unsigned  int,
Superclass::SpaceDimension   
)

Dimension of the domain space.

template<class TScalarType , unsigned int NDimensions = 3>
static Pointer itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::New ( )
static

New macro for creation of through a Smart Pointer

template<class TScalarType , unsigned int NDimensions = 3>
void itk::ThinPlateSplineKernelTransform2< TScalarType, NDimensions >::operator= ( const Self )
private


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