#include <itkLevelSetEquationContainer.h>

Inheritance diagram for itk::LevelSetEquationContainer< TTermContainer >:

Collaboration diagram for itk::LevelSetEquationContainer< TTermContainer >:

Classes
class	ConstIterator
class	Iterator

Public Types
typedef SmartPointer< const Self >	ConstPointer
typedef TermContainerType::InputImagePointer	InputImagePointer
typedef TermContainerType::InputImageType	InputImageType
typedef TermContainerType::LevelSetContainerPointer	LevelSetContainerPointer
typedef TermContainerType::LevelSetContainerType	LevelSetContainerType
typedef TermContainerType::LevelSetIdentifierType	LevelSetIdentifierType
typedef TermContainerType::LevelSetInputIndexType	LevelSetInputIndexType
typedef TermContainerType::LevelSetOutputRealType	LevelSetOutputRealType
typedef SmartPointer< Self >	Pointer
typedef LevelSetEquationContainer	Self
typedef Object	Superclass
typedef TermContainerType::Pointer	TermContainerPointer
typedef TTermContainer	TermContainerType
Public Types inherited from itk::Object
Public Types inherited from itk::LightObject

Public Member Functions
void	AddEquation (const LevelSetIdentifierType &iId, TermContainerType *iEquation)
Iterator	Begin ()
ConstIterator	Begin () const
LevelSetOutputRealType	ComputeCFLContribution () const
virtual ::itk::LightObject::Pointer	CreateAnother (void) const
Iterator	End ()
ConstIterator	End () const
TermContainerType *	GetEquation (const LevelSetIdentifierType &iId) const
virtual LevelSetContainerType *	GetLevelSetContainer ()
virtual const char *	GetNameOfClass () const
void	InitializeParameters ()
virtual void	SetLevelSetContainer (LevelSetContainerType *_arg)
void	UpdateInternalEquationTerms ()
void	UpdatePixel (const LevelSetInputIndexType &iP, const LevelSetOutputRealType &oldValue, const LevelSetOutputRealType &newValue)

virtual void	SetInput (InputImageType *_arg)
virtual const InputImageType *	GetInput ()
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 (void)
const MetaDataDictionary &	GetMetaDataDictionary (void) const
virtual unsigned long	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
void	RemoveAllObservers ()
void	RemoveObserver (unsigned long tag)
void	SetDebug (bool debugFlag) const
void	SetMetaDataDictionary (const MetaDataDictionary &rhs)
virtual void	SetReferenceCount (int)
virtual void	UnRegister () 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 void	SetGlobalWarningDisplay (bool flag)
Static Public Member Functions inherited from itk::LightObject
static void	BreakOnError ()

Protected Types
typedef MapContainerType::const_iterator	MapContainerConstIterator
typedef MapContainerType::iterator	MapContainerIterator
typedef std::map < LevelSetIdentifierType, TermContainerPointer >	MapContainerType

Protected Member Functions
	LevelSetEquationContainer ()
virtual	~LevelSetEquationContainer ()
Protected Member Functions inherited from itk::Object
	Object ()
bool	PrintObservers (std::ostream &os, Indent indent) const
virtual void	PrintSelf (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 ()

Protected Attributes
MapContainerType	m_Container
InputImagePointer	m_Input
LevelSetContainerPointer	m_LevelSetContainer

Private Member Functions
	LevelSetEquationContainer (const Self &)
void	operator= (const Self &)

Friends
class	Iterator

Detailed Description

template<class TTermContainer>
class itk::LevelSetEquationContainer< TTermContainer >

Class for holding a set of level set equations (PDEs).

Template Parameters:

TTermContainer Container holding the terms in a level set equation

Evolving level-set functions $\left\{ \phi_j \right\}\limits_{j=1}{M}$ can be expressed as follows:

$\begin{eqnarray*} \frac{\partial \phi_1(p)}{\partial \tau} &=& \sum\limits_{i=1}^{N_1} \alpha_{i1} \cdot \omega_{i1}(p) \\ \frac{\partial \phi_2(p)}{\partial \tau} &=& \sum\limits_{i=1}^{N_2} \alpha_{i2} \cdot \omega_{i2}(p) \\ & \vdots & \\ \frac{\partial \phi_M(p)}{\partial \tau} &=& \sum\limits_{i=1}^{N_M} \alpha_{iM} \cdot \omega_{iM}(p) \end{eqnarray*}$

where $\omega_{iM}$ is a term which could depend on any of the level-set functions $\left\{ \phi_j \right\}\limits_{j=1}{M}$ , the input image, and $\alpha_{iM}$ is a weight to balance the contribution of each term in the PDE.

Each equation of this system of equation (PDE) is referred as an equation in the level-set framework. Each equation $equation_{j}$ contributes to the evolution of the level-set function $\phi_j$ .