Inheritance diagram for itk::CompactlySupportedRBFSparseKernelTransform< TScalarType, NDimensions >:

Collaboration diagram for itk::CompactlySupportedRBFSparseKernelTransform< TScalarType, NDimensions >:

Public Types
typedef CompactlySupportedRBFSparseKernelTransform	Self

typedef SparseKernelTransform< TScalarType, NDimensions >	Superclass

typedef SmartPointer< Self >	Pointer

typedef SmartPointer< const Self >	ConstPointer

typedef Superclass::ScalarType	ScalarType

typedef Superclass::ParametersType	ParametersType

typedef Superclass::JacobianType	JacobianType

typedef Superclass::InputPointType	InputPointType

typedef Superclass::OutputPointType	OutputPointType

typedef Superclass::InputVectorType	InputVectorType

typedef Superclass::OutputVectorType	OutputVectorType

typedef Superclass::InputCovariantVectorType	InputCovariantVectorType

typedef Superclass::OutputCovariantVectorType	OutputCovariantVectorType

typedef Superclass::PointsIterator	PointsIterator

Public Types inherited from itk::SparseKernelTransform< TScalarType, NDimensions >
typedef SparseKernelTransform	Self

typedef Transform< TScalarType, NDimensions, NDimensions >	Superclass

typedef SmartPointer< Self >	Pointer

typedef SmartPointer< const Self >	ConstPointer

typedef Superclass::ScalarType	ScalarType

typedef Superclass::ParametersType	ParametersType

typedef Superclass::JacobianType	JacobianType

typedef Superclass::InputPointType	InputPointType

typedef Superclass::OutputPointType	OutputPointType

typedef Superclass::InputVectorType	InputVectorType

typedef Superclass::OutputVectorType	OutputVectorType

typedef DefaultStaticMeshTraits< TScalarType, NDimensions, NDimensions, TScalarType, TScalarType >	PointSetTraitsType

typedef PointSet< InputPointType, NDimensions, PointSetTraitsType >	PointSetType

typedef PointSetType::Pointer	PointSetPointer

typedef PointSetType::PointsContainer	PointsContainer

typedef PointSetType::PointsContainerIterator	PointsIterator

typedef PointSetType::PointsContainerConstIterator	PointsConstIterator

typedef itk::VectorContainer< unsigned long, InputVectorType >	VectorSetType

typedef VectorSetType::Pointer	VectorSetPointer

typedef Eigen::Matrix< TScalarType, NDimensions, NDimensions >	IMatrixType

typedef Eigen::Triplet< TScalarType >	TripletType

typedef Eigen::Matrix< TScalarType, NDimensions, NDimensions >	GMatrixType

typedef Eigen::SparseMatrix< TScalarType >	LMatrixType

typedef Eigen::SparseMatrix< TScalarType >	KMatrixType

typedef Eigen::SparseMatrix< TScalarType >	PMatrixType

typedef Eigen::Matrix< TScalarType, Eigen::Dynamic, Eigen::Dynamic >	YMatrixType

typedef Eigen::Matrix< TScalarType, Eigen::Dynamic, Eigen::Dynamic >	WMatrixType

typedef Eigen::Matrix< TScalarType, Eigen::Dynamic, Eigen::Dynamic >	DMatrixType

typedef Eigen::Matrix< TScalarType, NDimensions, NDimensions >	AMatrixType

typedef Eigen::Matrix< TScalarType, NDimensions, 1 >	BMatrixType

typedef Eigen::Matrix< TScalarType, 1, NDimensions >	RowMatrixType

typedef Eigen::Matrix< TScalarType, NDimensions, 1 >	ColumnMatrixType

Public Member Functions
	itkNewMacro (Self)

	itkTypeMacro (CompactlySupportedRBFSparseKernelTransform, SparseKernelTransform)

	itkStaticConstMacro (SpaceDimension, unsigned int, Superclass::SpaceDimension)

void	SetSigma (double sigma)

virtual void	ComputeJacobianWithRespectToParameters (const InputPointType &in, JacobianType &jacobian) const

Public Member Functions inherited from itk::SparseKernelTransform< TScalarType, NDimensions >
	itkTypeMacro (SparseKernelTransform, Transform)

	itkNewMacro (Self)

	itkStaticConstMacro (SpaceDimension, unsigned int, NDimensions)

	itkGetObjectMacro (SourceLandmarks, PointSetType)

virtual void	SetSourceLandmarks (PointSetType *)

	itkGetObjectMacro (TargetLandmarks, PointSetType)

virtual void	SetTargetLandmarks (PointSetType *)

	itkGetObjectMacro (Displacements, VectorSetType)

void	ComputeWMatrix (void) const

virtual OutputPointType	TransformPoint (const InputPointType &thisPoint) const

virtual void	SetIdentity ()

virtual void	SetParameters (const ParametersType &)

virtual void	SetFixedParameters (const ParametersType &)

virtual void	UpdateParameters (void) const

virtual const ParametersType &	GetParameters (void) const

virtual const ParametersType &	GetFixedParameters (void) const

virtual void	SetStiffness (double stiffness)

	itkGetMacro (Stiffness, double)

Protected Types
typedef Superclass::GMatrixType	GMatrixType

Protected Member Functions
const GMatrixType &	ComputeG (const InputVectorType &x) const

virtual void	ComputeDeformationContribution (const InputPointType &inputPoint, OutputPointType &result) const

Protected Member Functions inherited from itk::SparseKernelTransform< TScalarType, NDimensions >
void	PrintSelf (std::ostream &os, Indent indent) const

virtual const GMatrixType &	ComputeReflexiveG (PointsIterator) const

void	ComputeK () const

void	ComputeL () const

void	ComputeP () const

void	ComputeY () const

void	ComputeD () const

void	ReorganizeW (void) const

Additional Inherited Members
Public Attributes inherited from itk::SparseKernelTransform< TScalarType, NDimensions >
PointSetPointer	m_SourceLandmarks

PointSetPointer	m_TargetLandmarks

Protected Attributes inherited from itk::SparseKernelTransform< TScalarType, NDimensions >
double	m_Stiffness

VectorSetPointer	m_Displacements

LMatrixType	m_LMatrix

LMatrixType	m_LMatrixInverse

KMatrixType	m_KMatrix

PMatrixType	m_PMatrix

YMatrixType	m_YMatrix

WMatrixType	m_WMatrix

DMatrixType	m_DMatrix

AMatrixType	m_AMatrix

BMatrixType	m_BVector

GMatrixType	m_GMatrix

bool	m_WMatrixComputed

bool	m_LMatrixComputed

bool	m_LInverseComputed

IMatrixType	m_I

Detailed Description

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

Definition at line 29 of file itkCompactlySupportedRBFSparseKernelTransform.h.

Member Typedef Documentation

template<class TScalarType , unsigned int NDimensions = 3>

typedef Superclass::GMatrixType itk::CompactlySupportedRBFSparseKernelTransform< TScalarType, NDimensions >::GMatrixType

protected

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

Definition at line 80 of file itkCompactlySupportedRBFSparseKernelTransform.h.

template<class TScalarType , unsigned int NDimensions = 3>

typedef Superclass::InputPointType itk::CompactlySupportedRBFSparseKernelTransform< TScalarType, NDimensions >::InputPointType

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

Definition at line 59 of file itkCompactlySupportedRBFSparseKernelTransform.h.

template<class TScalarType , unsigned int NDimensions = 3>

typedef Superclass::JacobianType itk::CompactlySupportedRBFSparseKernelTransform< TScalarType, NDimensions >::JacobianType

Jacobian Type

Definition at line 52 of file itkCompactlySupportedRBFSparseKernelTransform.h.

template<class TScalarType , unsigned int NDimensions = 3>

typedef Superclass::ParametersType itk::CompactlySupportedRBFSparseKernelTransform< TScalarType, NDimensions >::ParametersType

Parameters type.

Definition at line 49 of file itkCompactlySupportedRBFSparseKernelTransform.h.

template<class TScalarType , unsigned int NDimensions = 3>

typedef Superclass::ScalarType itk::CompactlySupportedRBFSparseKernelTransform< TScalarType, NDimensions >::ScalarType

Scalar type.

Definition at line 46 of file itkCompactlySupportedRBFSparseKernelTransform.h.

template<class TScalarType , unsigned int NDimensions = 3>

typedef CompactlySupportedRBFSparseKernelTransform itk::CompactlySupportedRBFSparseKernelTransform< TScalarType, NDimensions >::Self

Standard class typedefs.

Definition at line 34 of file itkCompactlySupportedRBFSparseKernelTransform.h.

Member Function Documentation

template<class TScalarType , unsigned int NDimensions>

void itk::CompactlySupportedRBFSparseKernelTransform< TScalarType, NDimensions >::ComputeDeformationContribution	(	const InputPointType &	inputPoint,
		OutputPointType &	result
	)		const

protectedvirtual

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

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

Definition at line 57 of file itkCompactlySupportedRBFSparseKernelTransform.hxx.

 {
 
     double a = 3.0 * sqrt(3.14/2.0) * this->Sigma;
 
     unsigned long numberOfLandmarks = this->m_SourceLandmarks->GetNumberOfPoints();
 
     PointsIterator sp  = this->m_SourceLandmarks->GetPoints()->Begin();
 
     for(unsigned int lnd=0; lnd < numberOfLandmarks; lnd++ )
     {
         InputVectorType position = thisPoint - sp->Value();
         const TScalarType r = (position.GetNorm())/a; // the support of the basis is only defined till 2.5*sigma
 
         TScalarType val = 0.0;
         if(r <= 1)
             val = pow(1-r, 4.0) * (4.0*r + 1);
 
         for(unsigned int odim=0; odim < NDimensions; odim++ )
         {
             result[ odim ] += val * this->m_DMatrix(odim,lnd);
         }
         ++sp;
     }
 
 }

template<class TScalarType , unsigned int NDimensions>

const CompactlySupportedRBFSparseKernelTransform< TScalarType, NDimensions >::GMatrixType & itk::CompactlySupportedRBFSparseKernelTransform< TScalarType, NDimensions >::ComputeG ( const InputVectorType & landmarkVector ) const

protectedvirtual

Compute G(x) This is essentially the kernel of the transform. By overriding this method, we can obtain (among others): Elastic body spline Thin plate spline Volume spline

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

Definition at line 31 of file itkCompactlySupportedRBFSparseKernelTransform.hxx.

 {
     double a = 3.0 * sqrt(3.14/2.0) * this->Sigma;
 
     const TScalarType r = (x.GetNorm())/a; // the support of the basis is only defined till 2.5*sigma
     this->m_GMatrix = GMatrixType::Zero();
 
     if (r <= 1)
     {
         //this->m_GMatrix.fill( NumericTraits< TScalarType >::Zero );
 
         TScalarType val = pow(1-r, 4.0) * (4.0*r + 1);
         for(unsigned int i=0; i<NDimensions; i++)
         {
             this->m_GMatrix(i,i) = val;
 
             //this->m_GMatrix[i][i] = val;
         }
     }
     return this->m_GMatrix;
 }

template<class TScalarType , unsigned int NDimensions = 3>

itk::CompactlySupportedRBFSparseKernelTransform< TScalarType, NDimensions >::itkNewMacro ( Self )

New macro for creation of through a Smart Pointer

template<class TScalarType , unsigned int NDimensions = 3>

itk::CompactlySupportedRBFSparseKernelTransform< TScalarType, NDimensions >::itkStaticConstMacro	(	SpaceDimension	,
		unsigned	int,
		Superclass::SpaceDimension
	)

Dimension of the domain space.

template<class TScalarType , unsigned int NDimensions = 3>

itk::CompactlySupportedRBFSparseKernelTransform< TScalarType, NDimensions >::itkTypeMacro	(	CompactlySupportedRBFSparseKernelTransform< TScalarType, NDimensions >	,
		SparseKernelTransform
	)

Run-time type information (and related methods).

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

C:/Users/Brig/Documents/ShapeWorksStudio/src/Surfworks/itkCompactlySupportedRBFSparseKernelTransform.h
C:/Users/Brig/Documents/ShapeWorksStudio/src/Surfworks/itkCompactlySupportedRBFSparseKernelTransform.hxx

Public Types

Public Member Functions

Protected Types

Protected Member Functions

Additional Inherited Members

Detailed Description

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

Member Typedef Documentation

Member Function Documentation

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