#include <itkCoxDeBoorBSplineKernelFunction.h>

Inheritance diagram for itk::CoxDeBoorBSplineKernelFunction< VSplineOrder, TRealValueType >:

Collaboration diagram for itk::CoxDeBoorBSplineKernelFunction< VSplineOrder, TRealValueType >:

Detailed Description

template<unsigned int VSplineOrder = 3, typename TRealValueType = double>
class itk::CoxDeBoorBSplineKernelFunction< VSplineOrder, TRealValueType >

BSpline kernel used for density estimation and nonparameteric regression.

This class enscapsulates BSpline kernel for density estimation or nonparameteric regression. See documentation for KernelFunctionBase for more details.

This class is templated over the spline order to cohere with the previous incarnation of this class. One can change the order during an instantiation's existence. Note that other authors have defined the B-spline order as being the degree of spline + 1. In the ITK context (e.g. in this class), the spline order is equivalent to the degree of the spline.

Author: Nicholas J. Tustison

This code was contributed in the Insight Journal paper: "N-D C^k B-Spline Scattered Data Approximation" by Nicholas J. Tustison, James C. Gee http://hdl.handle.net/1926/140 http://www.insight-journal.org/browse/publication/57

See Also: KernelFunctionBase

Definition at line 57 of file itkCoxDeBoorBSplineKernelFunction.h.

Public Types
typedef SmartPointer< const Self >	ConstPointer

typedef vnl_matrix < TRealValueType >	MatrixType

typedef SmartPointer< Self >	Pointer

typedef vnl_real_polynomial	PolynomialType

typedef Superclass::RealType	RealType

typedef CoxDeBoorBSplineKernelFunction	Self

typedef KernelFunctionBase < TRealValueType >	Superclass

typedef vnl_vector < TRealValueType >	VectorType

Public Types inherited from itk::KernelFunctionBase< TRealValueType >
typedef SmartPointer< const Self >	ConstPointer

typedef SmartPointer< Self >	Pointer

typedef TRealValueType	RealType

typedef KernelFunctionBase	Self

typedef FunctionBase < TRealValueType, TRealValueType >	Superclass

Public Types inherited from itk::FunctionBase< TRealValueType, TRealValueType >
typedef SmartPointer< const Self >	ConstPointer

typedef TRealValueType	InputType

typedef TRealValueType	OutputType

typedef SmartPointer< Self >	Pointer

typedef FunctionBase	Self

typedef Object	Superclass

Public Types inherited from itk::Object
typedef SmartPointer< const Self >	ConstPointer

typedef SmartPointer< Self >	Pointer

typedef Object	Self

typedef LightObject	Superclass

Public Types inherited from itk::LightObject
typedef SmartPointer< const Self >	ConstPointer

typedef SmartPointer< Self >	Pointer

typedef LightObject	Self

Public Member Functions
virtual ::itk::LightObject::Pointer	CreateAnother (void) const

TRealValueType	Evaluate (const TRealValueType &) const

TRealValueType	EvaluateDerivative (const TRealValueType &) const

TRealValueType	EvaluateNthDerivative (const TRealValueType &, const unsigned int) const

virtual const char *	GetNameOfClass () const

MatrixType	GetShapeFunctions ()

MatrixType	GetShapeFunctionsInZeroToOneInterval ()

virtual unsigned int	GetSplineOrder () const

void	SetSplineOrder (const unsigned int)

Static Public Member Functions
static Pointer	New ()

Protected Member Functions
	CoxDeBoorBSplineKernelFunction ()

void	PrintSelf (std::ostream &os, Indent indent) const

virtual	~CoxDeBoorBSplineKernelFunction ()

Protected Member Functions inherited from itk::KernelFunctionBase< TRealValueType >
	KernelFunctionBase ()

virtual	~KernelFunctionBase ()

Protected Member Functions inherited from itk::FunctionBase< TRealValueType, TRealValueType >
	FunctionBase ()

	~FunctionBase ()

Protected Member Functions inherited from itk::Object
	Object ()

bool	PrintObservers (std::ostream &os, Indent indent) const

virtual void	SetTimeStamp (const TimeStamp &time)

virtual	~Object ()

Protected Member Functions inherited from itk::LightObject
virtual LightObject::Pointer	InternalClone () const

	LightObject ()

virtual void	PrintHeader (std::ostream &os, Indent indent) const

virtual void	PrintTrailer (std::ostream &os, Indent indent) const

virtual	~LightObject ()

Private Member Functions
PolynomialType	CoxDeBoor (const unsigned short, const VectorType, const unsigned int, const unsigned int)

	CoxDeBoorBSplineKernelFunction (const Self &)

void	GenerateBSplineShapeFunctions (const unsigned int)

void	operator= (const Self &)

Private Attributes
MatrixType	m_BSplineShapeFunctions

unsigned int	m_SplineOrder

Additional Inherited Members
Protected Types inherited from itk::LightObject
typedef int	InternalReferenceCountType

Protected Attributes inherited from itk::LightObject
InternalReferenceCountType	m_ReferenceCount

SimpleFastMutexLock	m_ReferenceCountLock