#include <itkMultiphaseSparseFiniteDifferenceImageFilter.h>

Inheritance diagram for itk::MultiphaseSparseFiniteDifferenceImageFilter< TInputImage, TFeatureImage, TOutputImage, TFunction, TIdCell >:

Collaboration diagram for itk::MultiphaseSparseFiniteDifferenceImageFilter< TInputImage, TFeatureImage, TOutputImage, TFunction, TIdCell >:

Detailed Description

template<typename TInputImage, typename TFeatureImage, typename TOutputImage, typename TFunction, typename TIdCell = unsigned int>
class itk::MultiphaseSparseFiniteDifferenceImageFilter< TInputImage, TFeatureImage, TOutputImage, TFunction, TIdCell >

This class implements a finite difference partial differential equation solver for evolving surfaces embedded in volumes as level-sets.

: The "sparse field" approach to the level-set model is a logical extension of the classical narrow band technique, which seeks to minimize computational effort by restricting calculations to those pixels in a region of interest around the moving surface (the -level curve). The sparse field method uses a narrow band that is exactly the width needed to calculate changes on the level curve for the next time step. Because the band of grid points under consideration is so sparse, this approach has several advantages: the algorithm does exactly the number of calculations needed to determine the next position of the -level curve, and the distance transform around the level curve can be recomputed at each iteration.

: The sparse field algorithm works by constructing a linked list of indices that are adjacent to the -level set. These indices are called the "active set". The values at these active set indices define the position of the -level curve. The active set indices are shifted to follow the distance transform embedding of the -level curve as their values move in and out of a fixed numerical range about . In this way, the active set is maintained as only those pixels adjacent to the evolving surface. Calculations are then done only at indices contained in the active set.

: The city-block neighborhoods of the active set indices are maintained as separate lists called ``layers''. At each iteration, the values at the layers are reinitialized as the distance transform from the active set. The number of layers can be adjusted according to the footprint needed for the calculations on the level curve.

: Briefly, the sparse field solver algorithm is as follows:

For each active layer index : Compute the change at $u_{x_j}$ , the grid point in the embedding, based on local geometry and external forces and using a stable numerical scheme.
For each active layer index , add the change to the grid point value and redefine the active set indices and those of its layers based on any value changes which have moved outside of the numerical range allowed for the active set.
Starting with the first layers adjacent to the active set and moving outwards, reconstruct the distance transform by setting values in the layers according to their neighbors. At the very outer layers, add or remove indices which have come into or moved out of the sparse field.

HOW TO USE THIS CLASS: Typically, this class should be subclassed with additional functionality for specific applications. It is possible, however to use this solver as a filter directly by instantiating it and supplying it with an appropriate LevelSetFunction object via the SetDifferenceFunction method. See the subclasses and their associated documentation for more information on using this class. Also see the FiniteDifferenceImageFilter2 documentation for a general overview of this class of solvers.

INPUTS: This filter takes an itk::Image as input. The appropriate type of input image is entirely determined by the application. As a rule, however, the input type is immediately converted to the output type before processing. This is because the input is not assumed to be a real value type and must be converted to signed, real values for the calculations. The input values will also be shifted by the isosurface value so that the algorithm only needs to consider the zero level set.

OUTPUTS: The output of the filter is the distance transform embedding of the isosurface as the zero level set. Values INSIDE the surface will be NEGATIVE and values OUTSIDE the surface will be POSITIVE. The distance transform only holds for those indices in layers around the active layer. Elsewhere, the values are a fixed positive or negative that is one greater than the layer of greatest magnitude. In other words, if there are three layers, then inside values reach a minimum of -4.0 and outside values a maximum of 4.0.IndexType this->SetNumberOfLayers(5);

PARAMETERS: The NumberOfLayers parameter controls the number of layers inside and outside of the active set (see description above). The sparse field will contain 2*NumberOfLayers+1 lists of indices: the active set and city block neighbors inside and outside the active set. It is important to specify enough layers to cover the footprint of your calculations. Curvature calculations in three dimensions, for example, require 3 layers. In two dimensions, a minimum of 2 layers is probably required. Higher order derivatives and other geometrical measures may require more layers. If too few layers are specified, then the calculations will pull values from the background, which may consist of arbitrary or random values.

: The IsoSurfaceValue indicates which value in the input represents the interface of interest. By default, this value is zero. When the solver initializes, it will subtract the IsoSurfaceValue from all values, in the input, shifting the isosurface of interest to zero in the output.

IMPORTANT!: Read the documentation for FiniteDifferenceImageFilter2 before attempting to use this filter. The solver requires that you specify a FiniteDifferenceFunction to use for calculations. This is set using the method SetDifferenceFunction in the parent class.

REFERENCES: Whitaker, Ross. A Level-Set Approach to 3D Reconstruction from Range Data. International Journal of Computer Vision. V. 29 No. 3, 203-231. 1998.

: Sethian, J.A. Level Set Methods. Cambridge University Press. 1996.

This code was adapted from the paper

   "An active contour model without edges"
    T. Chan and L. Vese.
    In Scale-Space Theories in Computer Vision, pages 141-151, 1999.

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"
http://www.insight-journal.org/browse/publication/642
http://hdl.handle.net/10380/3055

That is based on the papers:

"Level Set Segmentation: Active Contours without edge"
http://www.insight-journal.org/browse/publication/322
http://hdl.handle.net/1926/1532

and

"Level set segmentation using coupled active surfaces"
http://www.insight-journal.org/browse/publication/323
http://hdl.handle.net/1926/1533

Definition at line 178 of file itkMultiphaseSparseFiniteDifferenceImageFilter.h.

Classes
struct	SparseDataStruct

Public Types
typedef NeighborhoodAlgorithm::ImageBoundaryFacesCalculator < StatusImageType >	BFCType

typedef SmartPointer< const Self >	ConstPointer

typedef Superclass::FeatureImagePointer	FeatureImagePointer

typedef Superclass::FeatureImageType	FeatureImageType

typedef Superclass::FeaturePointType	FeaturePointType

typedef Superclass::FeatureRegionType	FeatureRegionType

typedef Superclass::FeatureSizeType	FeatureSizeType

typedef Superclass::FeatureSpacingType	FeatureSpacingType

typedef FiniteDifferenceFunctionType::FloatOffsetType	FiniteDifferenceFunctionFloatOffsetType

typedef Superclass::FiniteDifferenceFunctionPointer	FiniteDifferenceFunctionPointer

typedef Superclass::FiniteDifferenceFunctionType	FiniteDifferenceFunctionType

typedef Superclass::IdCellType	IdCellType

typedef Superclass::InputImagePointer	InputImagePointer

typedef Superclass::InputImageType	InputImageType

typedef Superclass::InputIndexType	InputIndexType

typedef Superclass::InputIndexValueType	InputIndexValueType

typedef Superclass::InputOffsetValueType	InputOffsetValueType

typedef Superclass::InputPixelType	InputPixelType

typedef Superclass::InputPointType	InputPointType

typedef Superclass::InputRegionType	InputRegionType

typedef Superclass::InputSizeType	InputSizeType

typedef Superclass::InputSizeValueType	InputSizeValueType

typedef Superclass::InputSpacingType	InputSpacingType

typedef LayerType::ConstIterator	LayerConstIterator

typedef LayerType::Iterator	LayerIterator

typedef LayerListType::const_iterator	LayerListConstIterator

typedef LayerListType::iterator	LayerListIterator

typedef std::vector < LayerPointerType >	LayerListType

typedef LayerNodeStorageType::Pointer	LayerNodeStoragePointer

typedef ObjectStore < LayerNodeType >	LayerNodeStorageType

typedef SparseFieldLevelSetNode < OutputIndexType >	LayerNodeType

typedef LayerType::Pointer	LayerPointerType

typedef SparseFieldLayer < LayerNodeType >	LayerType

typedef SparseFieldCityBlockNeighborList < NeighborhoodIterator < OutputImageType > >	NeighborListType

typedef NeighborListType::OffsetType	OffsetType

typedef Superclass::OutputImagePointer	OutputImagePointer

typedef Superclass::OutputImageType	OutputImageType

typedef Superclass::OutputIndexType	OutputIndexType

typedef Superclass::OutputIndexValueType	OutputIndexValueType

typedef Superclass::OutputPixelType	OutputPixelType

typedef Superclass::OutputRegionType	OutputRegionType

typedef Superclass::OutputSizeType	OutputSizeType

typedef SmartPointer< Self >	Pointer

typedef MultiphaseSparseFiniteDifferenceImageFilter	Self

typedef StatusImageType::Pointer	StatusImagePointer

typedef Image< StatusType, itkGetStaticConstMacro(ImageDimension) >	StatusImageType

typedef signed char	StatusType

typedef MultiphaseFiniteDifferenceImageFilter < TInputImage, TFeatureImage, TOutputImage, TFunction, TIdCell >	Superclass

typedef Superclass::TimeStepType	TimeStepType

typedef UpdateBufferType::const_iterator	UpdateBufferConstIterator

typedef std::vector< ValueType >	UpdateBufferType

typedef InputImageType::ValueType	ValueType

typedef ZeroCrossingFilterType::Pointer	ZeroCrossingFilterPointer

typedef ZeroCrossingImageFilter < InputImageType, InputImageType >	ZeroCrossingFilterType

Public Types inherited from itk::MultiphaseFiniteDifferenceImageFilter< TInputImage, TFeatureImage, TOutputImage, TFunction, TIdCell >
typedef Vector< float, itkGetStaticConstMacro(ImageDimension) >	CentroidVectorType

typedef SmartPointer< const Self >	ConstPointer

typedef FeatureImageType::Pointer	FeatureImagePointer

typedef TFeatureImage	FeatureImageType

typedef FeatureImageType::PixelType	FeaturePixelType

typedef FeatureImageType::PointType	FeaturePointType

typedef FeatureImageType::RegionType	FeatureRegionType

typedef FeatureImageType::SizeType	FeatureSizeType

typedef FeatureImageType::SpacingType	FeatureSpacingType

typedef FiniteDifferenceFunctionType::Pointer	FiniteDifferenceFunctionPointer

typedef TFunction	FiniteDifferenceFunctionType

typedef TIdCell	IdCellType

typedef InputPointType::CoordRepType	InputCoordRepType

typedef InputImageType::Pointer	InputImagePointer

typedef TInputImage	InputImageType

typedef InputImageType::IndexType	InputIndexType

typedef InputIndexType::IndexValueType	InputIndexValueType

typedef InputImageType::OffsetValueType	InputOffsetValueType

typedef InputImageType::PixelType	InputPixelType

typedef InputImageType::PointType	InputPointType

typedef InputImageType::RegionType	InputRegionType

typedef InputImageType::SizeType	InputSizeType

typedef InputSizeType::SizeValueType	InputSizeValueType

typedef InputImageType::SpacingType	InputSpacingType

typedef KdTreeGeneratorType::Pointer	KdTreeGeneratorPointer

typedef Statistics::KdTreeGenerator < SampleType >	KdTreeGeneratorType

typedef KdTreeType::Pointer	KdTreePointer

typedef KdTreeGeneratorType::KdTreeType	KdTreeType

typedef OutputImageType::Pointer	OutputImagePointer

typedef TOutputImage	OutputImageType

typedef OutputImageType::IndexType	OutputIndexType

typedef OutputImageType::IndexValueType	OutputIndexValueType

typedef OutputImageType::PixelType	OutputPixelType

typedef OutputImageType::RegionType	OutputRegionType

typedef OutputImageType::SizeType	OutputSizeType

typedef OutputImageType::SizeValueType	OutputSizeValueType

typedef SmartPointer< Self >	Pointer

typedef FiniteDifferenceFunctionType::RadiusType	RadiusType

typedef Statistics::ListSample < CentroidVectorType >	SampleType

typedef MultiphaseFiniteDifferenceImageFilter	Self

typedef InPlaceImageFilter < TFeatureImage, TOutputImage >	Superclass

typedef FiniteDifferenceFunctionType::TimeStepType	TimeStepType

typedef std::vector< TimeStepType >	TimeStepVectorType

typedef std::vector< IdCellType >	VectorIdCellType

Public Types inherited from itk::InPlaceImageFilter< TFeatureImage, TOutputImage >
typedef SmartPointer< const Self >	ConstPointer

typedef InputImageType::ConstPointer	InputImageConstPointer

typedef InputImageType::PixelType	InputImagePixelType

typedef InputImageType::Pointer	InputImagePointer

typedef InputImageType::RegionType	InputImageRegionType

typedef TFeatureImage	InputImageType

typedef Superclass::OutputImagePixelType	OutputImagePixelType

typedef Superclass::OutputImagePointer	OutputImagePointer

typedef Superclass::OutputImageRegionType	OutputImageRegionType

typedef Superclass::OutputImageType	OutputImageType

typedef SmartPointer< Self >	Pointer

typedef InPlaceImageFilter	Self

typedef ImageToImageFilter < TFeatureImage, TOutputImage >	Superclass

Public Types inherited from itk::ImageToImageFilter< TFeatureImage, TOutputImage >
typedef SmartPointer< const Self >	ConstPointer

typedef InputImageType::ConstPointer	InputImageConstPointer

typedef InputImageType::PixelType	InputImagePixelType

typedef InputImageType::Pointer	InputImagePointer

typedef InputImageType::RegionType	InputImageRegionType

typedef TFeatureImage	InputImageType

typedef Superclass::OutputImagePixelType	OutputImagePixelType

typedef Superclass::OutputImageRegionType	OutputImageRegionType

typedef SmartPointer< Self >	Pointer

typedef ImageToImageFilter	Self

typedef ImageSource< TOutputImage >	Superclass

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

typedef Superclass::DataObjectIdentifierType	DataObjectIdentifierType

typedef DataObject::Pointer	DataObjectPointer

typedef Superclass::DataObjectPointerArraySizeType	DataObjectPointerArraySizeType

typedef OutputImageType::PixelType	OutputImagePixelType

typedef OutputImageType::Pointer	OutputImagePointer

typedef OutputImageType::RegionType	OutputImageRegionType

typedef TOutputImage	OutputImageType

typedef SmartPointer< Self >	Pointer

typedef ImageSource	Self

typedef ProcessObject	Superclass

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

typedef DataObject::DataObjectIdentifierType	DataObjectIdentifierType

typedef DataObject::Pointer	DataObjectPointer

typedef std::vector < DataObjectPointer >	DataObjectPointerArray

typedef DataObjectPointerArray::size_type	DataObjectPointerArraySizeType

typedef std::vector < DataObjectIdentifierType >	NameArray

typedef SmartPointer< Self >	Pointer

typedef ProcessObject	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

virtual const char *	GetNameOfClass () const

void	SetFunctionCount (const IdCellType &n)

	typedef (Concept::EqualityComparable< typename TOutputImage::PixelType >) OutputEqualityComparableCheck

	typedef (Concept::Convertible< double, typename TOutputImage::PixelType >) DoubleConvertibleToOutputCheck

	typedef (Concept::OStreamWritable< typename TOutputImage::PixelType >) OutputOStreamWritableCheck


virtual void	SetNumberOfLayers (unsigned int _arg)

virtual unsigned int	GetNumberOfLayers () const


virtual void	SetIsoSurfaceValue (ValueType _arg)

virtual ValueType	GetIsoSurfaceValue () const


virtual void	SetInterpolateSurfaceLocation (bool _arg)

virtual bool	GetInterpolateSurfaceLocation () const


void	InterpolateSurfaceLocationOn ()

void	InterpolateSurfaceLocationOff ()

Public Member Functions inherited from itk::MultiphaseFiniteDifferenceImageFilter< TInputImage, TFeatureImage, TOutputImage, TFunction, TIdCell >
virtual const unsigned int &	GetElapsedIterations () const

InputImagePointer	GetLevelSet (const IdCellType &i)

virtual void	SetElapsedIterations (unsigned int _arg)

void	SetFunctionCount (const IdCellType &n)

void	SetKdTree (KdTreeType *kdtree)

void	SetLevelSet (const IdCellType &i, const InputImageType *levelSet)

void	SetLookup (VectorIdCellType lookup)

virtual const FiniteDifferenceFunctionPointer	GetDifferenceFunction (const IdCellType &functionIndex) const

virtual void	SetDifferenceFunction (const IdCellType &functionIndex, FiniteDifferenceFunctionPointer function)

virtual void	SetNumberOfIterations (unsigned int _arg)

virtual const unsigned int &	GetNumberOfIterations () const

virtual void	SetUseImageSpacing (bool _arg)

virtual void	UseImageSpacingOn ()

virtual void	UseImageSpacingOff ()

virtual const bool &	GetUseImageSpacing () const

virtual void	SetMaximumRMSError (double _arg)

virtual const double &	GetMaximumRMSError () const

virtual void	SetRMSChange (double _arg)

virtual const double &	GetRMSChange () const

virtual void	SetInitializedState (bool _arg)

virtual const bool &	GetInitializedState () const

virtual void	InitializedStateOn ()

virtual void	InitializedStateOff ()

virtual void	SetManualReinitialization (bool _arg)

virtual const bool &	GetManualReinitialization () const

virtual void	ManualReinitializationOn ()

virtual void	ManualReinitializationOff ()

Public Member Functions inherited from itk::InPlaceImageFilter< TFeatureImage, TOutputImage >
virtual bool	CanRunInPlace () const

virtual void	SetInPlace (bool _arg)

virtual bool	GetInPlace () const

virtual void	InPlaceOn ()

virtual void	InPlaceOff ()

Public Member Functions inherited from itk::ImageToImageFilter< TFeatureImage, TOutputImage >
const InputImageType *	GetInput () const

const InputImageType *	GetInput (unsigned int idx) const

virtual void	PopBackInput () override

virtual void	PopFrontInput () override

virtual void	PushBackInput (const InputImageType *image)

virtual void	PushFrontInput (const InputImageType *image)

virtual void	SetInput (const InputImageType *image)

virtual void	SetInput (unsigned int, const TFeatureImage *image)

virtual void	SetCoordinateTolerance (double _arg)

virtual double	GetCoordinateTolerance () const

virtual void	SetDirectionTolerance (double _arg)

virtual double	GetDirectionTolerance () const

Public Member Functions inherited from itk::ImageSource< TOutputImage >
OutputImageType *	GetOutput (unsigned int idx)

virtual void	GraftNthOutput (unsigned int idx, DataObject *output)

virtual void	GraftOutput (const DataObjectIdentifierType &key, DataObject *output)

OutputImageType *	GetOutput ()

const OutputImageType *	GetOutput () const

virtual void	GraftOutput (DataObject *output)

virtual ProcessObject::DataObjectPointer	MakeOutput (ProcessObject::DataObjectPointerArraySizeType idx) override

virtual ProcessObject::DataObjectPointer	MakeOutput (const ProcessObject::DataObjectIdentifierType &) override

Public Member Functions inherited from itk::ProcessObject
virtual void	AbortGenerateDataOff ()

virtual void	AbortGenerateDataOn ()

virtual void	EnlargeOutputRequestedRegion (DataObject *)

virtual const bool &	GetAbortGenerateData () const

DataObjectPointerArray	GetIndexedInputs ()

DataObjectPointerArray	GetIndexedOutputs ()

NameArray	GetInputNames () const

DataObjectPointerArray	GetInputs ()

MultiThreader *	GetMultiThreader () const

DataObjectPointerArraySizeType	GetNumberOfIndexedInputs () const

DataObjectPointerArraySizeType	GetNumberOfIndexedOutputs () const

DataObjectPointerArraySizeType	GetNumberOfInputs () const

DataObjectPointerArraySizeType	GetNumberOfOutputs () const

virtual DataObjectPointerArraySizeType	GetNumberOfValidRequiredInputs () const

NameArray	GetOutputNames () const

DataObjectPointerArray	GetOutputs ()

virtual const float &	GetProgress () const

NameArray	GetRequiredInputNames () const

bool	HasInput (const DataObjectIdentifierType &key) const

bool	HasOutput (const DataObjectIdentifierType &key) const

virtual void	PrepareOutputs ()

virtual void	PropagateRequestedRegion (DataObject *output)

virtual void	ResetPipeline ()

virtual void	SetAbortGenerateData (bool _arg)

virtual void	Update ()

virtual void	UpdateLargestPossibleRegion ()

virtual void	UpdateOutputData (DataObject *output)

virtual void	UpdateOutputInformation ()

void	UpdateProgress (float progress)

void	SetProgress (float progress)

virtual void	SetReleaseDataFlag (bool flag)

virtual bool	GetReleaseDataFlag () const

void	ReleaseDataFlagOn ()

void	ReleaseDataFlagOff ()

virtual void	SetReleaseDataBeforeUpdateFlag (bool _arg)

virtual const bool &	GetReleaseDataBeforeUpdateFlag () const

virtual void	ReleaseDataBeforeUpdateFlagOn ()

virtual void	ReleaseDataBeforeUpdateFlagOff ()

virtual void	SetNumberOfThreads (ThreadIdType _arg)

virtual const ThreadIdType &	GetNumberOfThreads () const

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 ()

Static Public Attributes
static const unsigned int	ImageDimension = Superclass::ImageDimension

Static Public Attributes inherited from itk::MultiphaseFiniteDifferenceImageFilter< TInputImage, TFeatureImage, TOutputImage, TFunction, TIdCell >
static const unsigned int	ImageDimension

Static Public Attributes inherited from itk::InPlaceImageFilter< TFeatureImage, TOutputImage >
static const unsigned int	InputImageDimension

static const unsigned int	OutputImageDimension

Static Public Attributes inherited from itk::ImageToImageFilter< TFeatureImage, TOutputImage >
static const unsigned int	InputImageDimension

static const unsigned int	OutputImageDimension

Static Public Attributes inherited from itk::ImageSource< TOutputImage >
static const unsigned int	OutputImageDimension = TOutputImage::ImageDimension

Protected Member Functions
void	AllocateUpdateBuffer () override

void	ApplyUpdate (TimeStepType dt) override

TimeStepType	CalculateChange () override

virtual ValueType	CalculateUpdateValue (const OutputIndexType &, const TimeStepType &dt, const ValueType &value, const ValueType &change)

void	ConstructActiveLayer ()

void	ConstructLayer (SparseDataStruct *sparsePtr, StatusType from, StatusType to)

void	CopyInputToOutput () override

virtual ValueType	GetValueOne () const

virtual ValueType	GetValueZero () const

void	Initialize () override

void	InitializeActiveLayerValues ()

void	InitializeBackgroundConstants ()

virtual void	InitializeBackgroundPixels ()

void	InitializeIteration () override

	MultiphaseSparseFiniteDifferenceImageFilter ()

virtual void	PostProcessOutput () override

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

void	ProcessOutsideList (LayerType *OutsideList, StatusType ChangeToStatus)

void	ProcessStatusList (LayerType InputList, LayerType OutputList, StatusType ChangeToStatus, StatusType SearchForStatus)

void	PropagateAllLayerValues ()

void	PropagateFunctionLayerValues (unsigned int functionIndex)

void	PropagateLayerValues (SparseDataStruct *sparsePtr, StatusType from, StatusType to, StatusType promote, int InOrOut)

void	UpdateActiveLayerValues (TimeStepType dt, LayerType StatusUpList, LayerType StatusDownList)

virtual void	UpdatePixel (unsigned int, unsigned int, NeighborhoodIterator< InputImageType > &, ValueType &, bool &)

	~MultiphaseSparseFiniteDifferenceImageFilter ()

Protected Member Functions inherited from itk::MultiphaseFiniteDifferenceImageFilter< TInputImage, TFeatureImage, TOutputImage, TFunction, TIdCell >
virtual void	ApplyUpdate (TimeStepType dt)=0

virtual void	GenerateData () override

virtual void	GenerateInputRequestedRegion () override

virtual bool	Halt ()

	MultiphaseFiniteDifferenceImageFilter ()

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

TimeStepType	ResolveTimeStep (const TimeStepVectorType &timeStepList, const std::vector< bool > &valid)

virtual bool	ThreadedHalt (void *)

	~MultiphaseFiniteDifferenceImageFilter ()

Protected Member Functions inherited from itk::InPlaceImageFilter< TFeatureImage, TOutputImage >
virtual void	AllocateOutputs () override

virtual bool	GetRunningInPlace () const

	InPlaceImageFilter ()

virtual void	ReleaseInputs () override

	~InPlaceImageFilter ()

Protected Member Functions inherited from itk::ImageToImageFilter< TFeatureImage, TOutputImage >
virtual void	CallCopyInputRegionToOutputRegion (OutputImageRegionType &destRegion, const InputImageRegionType &srcRegion)

virtual void	CallCopyOutputRegionToInputRegion (InputImageRegionType &destRegion, const OutputImageRegionType &srcRegion)

	ImageToImageFilter ()

virtual void	VerifyInputInformation () override

	~ImageToImageFilter ()

void	PushBackInput (const DataObject *input) override

void	PushFrontInput (const DataObject *input) override

Protected Member Functions inherited from itk::ImageSource< TOutputImage >
virtual void	AfterThreadedGenerateData ()

virtual void	BeforeThreadedGenerateData ()

virtual const ImageRegionSplitterBase *	GetImageRegionSplitter () const

	ImageSource ()

virtual unsigned int	SplitRequestedRegion (unsigned int i, unsigned int pieces, OutputImageRegionType &splitRegion)

virtual void	ThreadedGenerateData (const OutputImageRegionType &outputRegionForThread, ThreadIdType threadId)

virtual	~ImageSource ()

Protected Member Functions inherited from itk::ProcessObject
virtual void	AddInput (DataObject *input)

virtual void	AddOutput (DataObject *output)

bool	AddRequiredInputName (const DataObjectIdentifierType &)

bool	AddRequiredInputName (const DataObjectIdentifierType &, DataObjectPointerArraySizeType idx)

virtual void	CacheInputReleaseDataFlags ()

virtual void	GenerateOutputInformation ()

virtual void	GenerateOutputRequestedRegion (DataObject *output)

DataObject *	GetInput (const DataObjectIdentifierType &key)

const DataObject *	GetInput (const DataObjectIdentifierType &key) const

virtual const DataObjectPointerArraySizeType &	GetNumberOfRequiredInputs () const

virtual const DataObjectPointerArraySizeType &	GetNumberOfRequiredOutputs () const

bool	IsIndexedInputName (const DataObjectIdentifierType &) const

bool	IsIndexedOutputName (const DataObjectIdentifierType &) const

bool	IsRequiredInputName (const DataObjectIdentifierType &) const

	itkLegacyMacro (virtual void RemoveOutput(DataObject *output))

	itkLegacyMacro (void SetNumberOfOutputs(DataObjectPointerArraySizeType num))

	itkLegacyMacro (virtual void RemoveInput(DataObject *input))

	itkLegacyMacro (void SetNumberOfInputs(DataObjectPointerArraySizeType num))

DataObjectPointerArraySizeType	MakeIndexFromInputName (const DataObjectIdentifierType &name) const

DataObjectPointerArraySizeType	MakeIndexFromOutputName (const DataObjectIdentifierType &name) const

DataObjectIdentifierType	MakeNameFromInputIndex (DataObjectPointerArraySizeType idx) const

DataObjectIdentifierType	MakeNameFromOutputIndex (DataObjectPointerArraySizeType idx) const

	ProcessObject ()

virtual void	PropagateResetPipeline ()

virtual void	RemoveInput (const DataObjectIdentifierType &key)

virtual void	RemoveInput (DataObjectPointerArraySizeType)

virtual void	RemoveOutput (const DataObjectIdentifierType &key)

virtual void	RemoveOutput (DataObjectPointerArraySizeType idx)

bool	RemoveRequiredInputName (const DataObjectIdentifierType &)

virtual void	RestoreInputReleaseDataFlags ()

virtual void	SetInput (const DataObjectIdentifierType &key, DataObject *input)

virtual void	SetNthInput (DataObjectPointerArraySizeType num, DataObject *input)

virtual void	SetNthOutput (DataObjectPointerArraySizeType num, DataObject *output)

void	SetNumberOfIndexedInputs (DataObjectPointerArraySizeType num)

void	SetNumberOfIndexedOutputs (DataObjectPointerArraySizeType num)

virtual void	SetNumberOfRequiredInputs (DataObjectPointerArraySizeType)

virtual void	SetNumberOfRequiredOutputs (DataObjectPointerArraySizeType _arg)

virtual void	SetOutput (const DataObjectIdentifierType &key, DataObject *output)

virtual void	SetPrimaryInput (DataObject *input)

virtual void	SetPrimaryOutput (DataObject *output)

void	SetRequiredInputNames (const NameArray &)

virtual void	VerifyPreconditions ()

	~ProcessObject ()

DataObject *	GetInput (DataObjectPointerArraySizeType idx)

const DataObject *	GetInput (DataObjectPointerArraySizeType idx) const

DataObject *	GetPrimaryInput ()

const DataObject *	GetPrimaryInput () const

virtual void	SetPrimaryInputName (const DataObjectIdentifierType &key)

virtual const char *	GetPrimaryInputName (void) const

DataObject *	GetOutput (const DataObjectIdentifierType &key)

const DataObject *	GetOutput (const DataObjectIdentifierType &key) const

virtual void	SetPrimaryOutputName (const DataObjectIdentifierType &key)

virtual const char *	GetPrimaryOutputName (void) const

DataObject *	GetOutput (DataObjectPointerArraySizeType idx)

const DataObject *	GetOutput (DataObjectPointerArraySizeType idx) const

DataObject *	GetPrimaryOutput ()

const DataObject *	GetPrimaryOutput () const

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 ()

Protected Attributes
ValueType	m_BackgroundValue

bool	m_InterpolateSurfaceLocation

ValueType	m_IsoSurfaceValue

NeighborListType	m_NeighborList

unsigned int	m_NumberOfLayers

std::vector< ValueType >	m_PixelDistance

std::vector< SparseDataStruct * >	m_SparseData

Protected Attributes inherited from itk::MultiphaseFiniteDifferenceImageFilter< TInputImage, TFeatureImage, TOutputImage, TFunction, TIdCell >
std::vector < FiniteDifferenceFunctionPointer >	m_DifferenceFunctions

unsigned int	m_ElapsedIterations

IdCellType	m_FunctionCount

KdTreePointer	m_KdTree

std::vector< InputImagePointer >	m_LevelSet

VectorIdCellType	m_Lookup

double	m_MaximumRMSError

unsigned int	m_NumberOfIterations

double	m_RMSChange

bool	m_UseImageSpacing

Protected Attributes inherited from itk::ProcessObject
TimeStamp	m_OutputInformationMTime

bool	m_Updating

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

Static Protected Attributes
static double	m_ConstantGradientValue

static const StatusType	m_StatusActiveChangingDown

static const StatusType	m_StatusActiveChangingUp

static const StatusType	m_StatusBoundaryPixel

static const StatusType	m_StatusChanging

static const StatusType	m_StatusNull

static const ValueType	m_ValueOne

static const ValueType	m_ValueZero

Private Member Functions
	MultiphaseSparseFiniteDifferenceImageFilter (const Self &)

void	operator= (const Self &) ITK_DELETE_FUNCTION

Private Attributes
bool	m_BoundsCheckingActive

unsigned int	m_CurrentFunctionIndex

unsigned int	m_RMSCounter

double	m_RMSSum

Additional Inherited Members
Protected Types inherited from itk::ImageToImageFilter< TFeatureImage, TOutputImage >
typedef ImageToImageFilterDetail::ImageRegionCopier < itkGetStaticConstMacro(OutputImageDimension), itkGetStaticConstMacro(InputImageDimension) >	InputToOutputRegionCopierType

typedef ImageToImageFilterDetail::ImageRegionCopier < itkGetStaticConstMacro(InputImageDimension), itkGetStaticConstMacro(OutputImageDimension) >	OutputToInputRegionCopierType

Static Protected Member Functions inherited from itk::ImageSource< TOutputImage >
static const ImageRegionSplitterBase *	GetGlobalDefaultSplitter ()

static ITK_THREAD_RETURN_TYPE	ThreaderCallback (void *arg)