#include <itkAtanRegularizedHeavisideStepFunction.h>

Inheritance diagram for itk::AtanRegularizedHeavisideStepFunction< TInput, TOutput >:

Collaboration diagram for itk::AtanRegularizedHeavisideStepFunction< TInput, TOutput >:

Public Types
using	ConstPointer = SmartPointer< const Self >

using	InputType = typename Superclass::InputType

using	OutputType = typename Superclass::OutputType

using	Pointer = SmartPointer< Self >

using	RealType = typename Superclass::RealType

using	Self = AtanRegularizedHeavisideStepFunction

using	Superclass = RegularizedHeavisideStepFunction< TInput, TOutput >

Public Types inherited from itk::RegularizedHeavisideStepFunction< TInput, TOutput >
using	ConstPointer = SmartPointer< const Self >

using	InputType = typename Superclass::InputType

using	OutputType = typename Superclass::OutputType

using	Pointer = SmartPointer< Self >

using	RealType = typename NumericTraits< InputType >::RealType

using	Self = RegularizedHeavisideStepFunction

using	Superclass = HeavisideStepFunctionBase< TInput, TOutput >

Public Types inherited from itk::HeavisideStepFunctionBase< TInput, TOutput >
using	ConstPointer = SmartPointer< const Self >

using	InputType = typename Superclass::InputType

using	OutputType = typename Superclass::OutputType

using	Pointer = SmartPointer< Self >

using	Self = HeavisideStepFunctionBase

using	Superclass = FunctionBase< TInput, TOutput >

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

using	InputType = TInput

using	OutputType = TOutput

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
virtual ::itk::LightObject::Pointer	CreateAnother () const

OutputType	Evaluate (const InputType &input) const override

OutputType	EvaluateDerivative (const InputType &input) const override

virtual const char *	GetNameOfClass () const

Public Member Functions inherited from itk::RegularizedHeavisideStepFunction< TInput, TOutput >
virtual RealType	GetEpsilon () const

virtual RealType	GetOneOverEpsilon () const

void	SetEpsilon (const RealType &ieps)

Public Member Functions inherited from itk::HeavisideStepFunctionBase< TInput, TOutput >
OutputType	Evaluate (const InputType &input) const override=0

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

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

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

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)

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 void	Delete ()

virtual int	GetReferenceCount () const

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 val)

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

static Pointer	New ()

Protected Member Functions
	AtanRegularizedHeavisideStepFunction ()=default

	~AtanRegularizedHeavisideStepFunction () override=default

Protected Member Functions inherited from itk::RegularizedHeavisideStepFunction< TInput, TOutput >
	RegularizedHeavisideStepFunction ()

	~RegularizedHeavisideStepFunction () override=default

Protected Member Functions inherited from itk::HeavisideStepFunctionBase< TInput, TOutput >
	HeavisideStepFunctionBase ()

	~HeavisideStepFunctionBase () override=default

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

	~FunctionBase () override=default

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

	~Object () override

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

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

virtual void	SetTimeStamp (const TimeStamp &timeStamp)

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 ()

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

Detailed Description

template<typename TInput = float, typename TOutput = double>
class itk::AtanRegularizedHeavisideStepFunction< TInput, TOutput >

Atan-based implementation of the Regularized (smoothed) Heaviside functions.

Author: Mosaliganti K., Smith B., Gelas A., Gouaillard A., Megason S.

This code was taken from the Insight Journal paper:

"Cell Tracking using Coupled Active Surfaces for Nuclei and Membranes"
https://www.insight-journal.org/browse/publication/642

That is based on the papers:

"Level Set Segmentation: Active Contours without edge"
https://www.insight-journal.org/browse/publication/322

and

"Level set segmentation using coupled active surfaces"
https://www.insight-journal.org/browse/publication/323

Examples: SphinxExamples/src/Nonunit/Review/MultiphaseChanAndVeseSparseFieldLevelSetSegmentation/Code.cxx, SphinxExamples/src/Nonunit/Review/SinglephaseChanAndVeseDenseFieldLevelSetSegmentation/Code.cxx, and SphinxExamples/src/Nonunit/Review/SinglephaseChanAndVeseSparseFieldLevelSetSegmentation/Code.cxx.

Definition at line 50 of file itkAtanRegularizedHeavisideStepFunction.h.