#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 https://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 () const

TRealValueType	Evaluate (const TRealValueType &) const override

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)

Public Member Functions inherited from itk::Object
unsigned long	AddObserver (const EventObject &event, Command *)

unsigned long	AddObserver (const EventObject &event, Command *) const

virtual void	DebugOff () const

virtual void	DebugOn () const

Command *	GetCommand (unsigned long tag)

bool	GetDebug () const

MetaDataDictionary &	GetMetaDataDictionary ()

const MetaDataDictionary &	GetMetaDataDictionary () const

virtual ModifiedTimeType	GetMTime () const

virtual const TimeStamp &	GetTimeStamp () const

bool	HasObserver (const EventObject &event) const

void	InvokeEvent (const EventObject &)

void	InvokeEvent (const EventObject &) const

virtual void	Modified () const

virtual void	Register () const override

void	RemoveAllObservers ()

void	RemoveObserver (unsigned long tag)

void	SetDebug (bool debugFlag) const

void	SetMetaDataDictionary (const MetaDataDictionary &rhs)

virtual void	SetReferenceCount (int) override

virtual void	UnRegister () const noexceptoverride

virtual void	SetObjectName (std::string _arg)

virtual const std::string &	GetObjectName () const

Public Member Functions inherited from itk::LightObject
virtual void	Delete ()

virtual int	GetReferenceCount () const

	itkCloneMacro (Self)

void	Print (std::ostream &os, Indent indent=0) const

Static Public Member Functions
static Pointer	New ()

Static Public Member Functions inherited from itk::Object
static bool	GetGlobalWarningDisplay ()

static void	GlobalWarningDisplayOff ()

static void	GlobalWarningDisplayOn ()

static Pointer	New ()

static void	SetGlobalWarningDisplay (bool flag)

Static Public Member Functions inherited from itk::LightObject
static void	BreakOnError ()

static Pointer	New ()

Protected Member Functions
	CoxDeBoorBSplineKernelFunction ()

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

virtual	~CoxDeBoorBSplineKernelFunction () override

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

virtual	~KernelFunctionBase () override

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

	~FunctionBase () override

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

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

virtual void	SetTimeStamp (const TimeStamp &time)

virtual	~Object () override

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)

void	GenerateBSplineShapeFunctions (const unsigned int)

Private Attributes
MatrixType	m_BSplineShapeFunctions

unsigned int	m_SplineOrder

Additional Inherited Members
Protected Attributes inherited from itk::LightObject
AtomicInt< int >	m_ReferenceCount