#include <itkCoxDeBoorBSplineKernelFunction.h>

Detailed Description

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

BSpline kernel used for density estimation and nonparametric regression.

This class encapsulates BSpline kernel for density estimation or nonparametric 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://doi.org/10.54294/0d55to

See also: KernelFunctionBase

Definition at line 57 of file itkCoxDeBoorBSplineKernelFunction.h.

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

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

Public Types
using	ConstPointer = SmartPointer< const Self >

using	MatrixType = vnl_matrix< TRealValueType >

using	Pointer = SmartPointer< Self >

using	PolynomialType = vnl_real_polynomial

using	Self = CoxDeBoorBSplineKernelFunction

using	Superclass = KernelFunctionBase< TRealValueType >

using	VectorType = vnl_vector< TRealValueType >

Public Types inherited from itk::KernelFunctionBase< double >
using	ConstPointer = SmartPointer< const Self >

using	Pointer = SmartPointer< Self >

using	RealType = double

using	Self = KernelFunctionBase

using	Superclass = FunctionBase< double, double >

Public Types inherited from itk::FunctionBase< double, double >
using	ConstPointer = SmartPointer< const Self >

using	InputType = double

using	OutputType = double

using	Pointer = SmartPointer< Self >

using	Self = FunctionBase

using	Superclass = Object

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

using	Pointer = SmartPointer< Self >

using	Self = Object

using	Superclass = LightObject

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

using	Pointer = SmartPointer< Self >

using	Self = LightObject

Public Member Functions
TRealValueType	Evaluate (const TRealValueType &) const override

TRealValueType	EvaluateDerivative (const TRealValueType &) const

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

const char *	GetNameOfClass () const override

MatrixType	GetShapeFunctions ()

MatrixType	GetShapeFunctionsInZeroToOneInterval ()

virtual unsigned int	GetSplineOrder () const

void	SetSplineOrder (const unsigned int)

Public Member Functions inherited from itk::KernelFunctionBase< double >
double	Evaluate (const double &u) const override=0

const char *	GetNameOfClass () const override

virtual OutputType	Evaluate (const InputType &input) const=0

const char *	GetNameOfClass () const override

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

unsigned long	AddObserver (const EventObject &event, std::function< void(const EventObject &)> function) const

LightObject::Pointer	CreateAnother () const override

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

const char *	GetNameOfClass () const override

virtual const TimeStamp &	GetTimeStamp () const

bool	HasObserver (const EventObject &event) const

void	InvokeEvent (const EventObject &)

void	InvokeEvent (const EventObject &) const

virtual void	Modified () const

void	Register () const override

void	RemoveAllObservers ()

void	RemoveObserver (unsigned long tag) const

void	SetDebug (bool debugFlag) const

void	SetReferenceCount (int) override

void	UnRegister () const noexcept override

void	SetMetaDataDictionary (const MetaDataDictionary &rhs)

void	SetMetaDataDictionary (MetaDataDictionary &&rrhs)

virtual void	SetObjectName (std::string _arg)

virtual const std::string &	GetObjectName () const

Public Member Functions inherited from itk::LightObject
Pointer	Clone () const

virtual Pointer	CreateAnother () const

virtual void	Delete ()

virtual const char *	GetNameOfClass () const

virtual int	GetReferenceCount () const

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

virtual void	Register () const

virtual void	SetReferenceCount (int)

virtual void	UnRegister () const noexcept

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 val)

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

	~CoxDeBoorBSplineKernelFunction () override=default

Protected Member Functions inherited from itk::KernelFunctionBase< double >
	KernelFunctionBase ()=default

	~KernelFunctionBase () override=default

Protected Member Functions inherited from itk::FunctionBase< double, double >
	FunctionBase ()=default

	~FunctionBase () override=default

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

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

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

virtual void	SetTimeStamp (const TimeStamp &timeStamp)

	~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	PrintSelf (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
std::atomic< int >	m_ReferenceCount {}