#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
https://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
https://hdl.handle.net/1926/1532

and

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

Definition at line 178 of file itkMultiphaseSparseFiniteDifferenceImageFilter.h.

Classes
struct	SparseDataStruct

Public Types
using	BFCType = NeighborhoodAlgorithm::ImageBoundaryFacesCalculator< StatusImageType >

using	ConstPointer = SmartPointer< const Self >

using	FeatureImagePointer = typename Superclass::FeatureImagePointer

using	FeatureImageType = typename Superclass::FeatureImageType

using	FeaturePointType = typename Superclass::FeaturePointType

using	FeatureRegionType = typename Superclass::FeatureRegionType

using	FeatureSizeType = typename Superclass::FeatureSizeType

using	FeatureSpacingType = typename Superclass::FeatureSpacingType

using	FiniteDifferenceFunctionFloatOffsetType = typename FiniteDifferenceFunctionType::FloatOffsetType

using	FiniteDifferenceFunctionPointer = typename Superclass::FiniteDifferenceFunctionPointer

using	FiniteDifferenceFunctionType = typename Superclass::FiniteDifferenceFunctionType

using	IdCellType = typename Superclass::IdCellType

using	InputImagePointer = typename Superclass::InputImagePointer

using	InputImageType = typename Superclass::InputImageType

using	InputIndexType = typename Superclass::InputIndexType

using	InputIndexValueType = typename Superclass::InputIndexValueType

using	InputOffsetValueType = typename Superclass::InputOffsetValueType

using	InputPixelType = typename Superclass::InputPixelType

using	InputPointType = typename Superclass::InputPointType

using	InputRegionType = typename Superclass::InputRegionType

using	InputSizeType = typename Superclass::InputSizeType

using	InputSizeValueType = typename Superclass::InputSizeValueType

using	InputSpacingType = typename Superclass::InputSpacingType

using	LayerConstIterator = typename LayerType::ConstIterator

using	LayerIterator = typename LayerType::Iterator

using	LayerListConstIterator = typename LayerListType::const_iterator

using	LayerListIterator = typename LayerListType::iterator

using	LayerListType = std::vector< LayerPointerType >

using	LayerNodeStoragePointer = typename LayerNodeStorageType::Pointer

using	LayerNodeStorageType = ObjectStore< LayerNodeType >

using	LayerNodeType = SparseFieldLevelSetNode< OutputIndexType >

using	LayerPointerType = typename LayerType::Pointer

using	LayerType = SparseFieldLayer< LayerNodeType >

using	NeighborListType = SparseFieldCityBlockNeighborList< NeighborhoodIterator< OutputImageType > >

using	OffsetType = typename NeighborListType::OffsetType

using	OutputImagePointer = typename Superclass::OutputImagePointer

using	OutputImageType = typename Superclass::OutputImageType

using	OutputIndexType = typename Superclass::OutputIndexType

using	OutputIndexValueType = typename Superclass::OutputIndexValueType

using	OutputPixelType = typename Superclass::OutputPixelType

using	OutputRegionType = typename Superclass::OutputRegionType

using	OutputSizeType = typename Superclass::OutputSizeType

using	Pointer = SmartPointer< Self >

using	Self = MultiphaseSparseFiniteDifferenceImageFilter

using	StatusImagePointer = typename StatusImageType::Pointer

using	StatusImageType = Image< StatusType, Self::ImageDimension >

using	StatusType = signed char

using	Superclass = MultiphaseFiniteDifferenceImageFilter< TInputImage, TFeatureImage, TOutputImage, TFunction, TIdCell >

using	TimeStepType = typename Superclass::TimeStepType

using	UpdateBufferConstIterator = typename UpdateBufferType::const_iterator

using	UpdateBufferType = std::vector< ValueType >

using	ValueType = typename InputImageType::ValueType

using	ZeroCrossingFilterPointer = typename ZeroCrossingFilterType::Pointer

using	ZeroCrossingFilterType = ZeroCrossingImageFilter< InputImageType, InputImageType >

Public Types inherited from itk::MultiphaseFiniteDifferenceImageFilter< TInputImage, TFeatureImage, TOutputImage, TFunction, TIdCell >
using	CentroidVectorType = Vector< float, Self::ImageDimension >

using	ConstPointer = SmartPointer< const Self >

using	FeatureImagePointer = typename FeatureImageType::Pointer

using	FeatureImageType = TFeatureImage

using	FeaturePixelType = typename FeatureImageType::PixelType

using	FeaturePointType = typename FeatureImageType::PointType

using	FeatureRegionType = typename FeatureImageType::RegionType

using	FeatureSizeType = typename FeatureImageType::SizeType

using	FeatureSpacingType = typename FeatureImageType::SpacingType

using	FiniteDifferenceFunctionPointer = typename FiniteDifferenceFunctionType::Pointer

using	FiniteDifferenceFunctionType = TFunction

using	IdCellType = TIdCell

using	InputCoordRepType = typename InputPointType::CoordRepType

using	InputImagePointer = typename InputImageType::Pointer

using	InputImageType = TInputImage

using	InputIndexType = typename InputImageType::IndexType

using	InputIndexValueType = typename InputIndexType::IndexValueType

using	InputOffsetValueType = typename InputImageType::OffsetValueType

using	InputPixelType = typename InputImageType::PixelType

using	InputPointType = typename InputImageType::PointType

using	InputRegionType = typename InputImageType::RegionType

using	InputSizeType = typename InputImageType::SizeType

using	InputSizeValueType = typename InputSizeType::SizeValueType

using	InputSpacingType = typename InputImageType::SpacingType

using	KdTreeGeneratorPointer = typename KdTreeGeneratorType::Pointer

using	KdTreeGeneratorType = Statistics::KdTreeGenerator< SampleType >

using	KdTreePointer = typename KdTreeType::Pointer

using	KdTreeType = typename KdTreeGeneratorType::KdTreeType

using	OutputImagePointer = typename OutputImageType::Pointer

using	OutputImageType = TOutputImage

using	OutputIndexType = typename OutputImageType::IndexType

using	OutputIndexValueType = typename OutputImageType::IndexValueType

using	OutputPixelType = typename OutputImageType::PixelType

using	OutputRegionType = typename OutputImageType::RegionType

using	OutputSizeType = typename OutputImageType::SizeType

using	OutputSizeValueType = typename OutputImageType::SizeValueType

using	Pointer = SmartPointer< Self >

using	RadiusType = typename FiniteDifferenceFunctionType::RadiusType

using	SampleType = Statistics::ListSample< CentroidVectorType >

using	Self = MultiphaseFiniteDifferenceImageFilter

using	Superclass = InPlaceImageFilter< TFeatureImage, TOutputImage >

using	TimeStepType = typename FiniteDifferenceFunctionType::TimeStepType

using	TimeStepVectorType = typename std::vector< TimeStepType >

using	VectorIdCellType = std::vector< IdCellType >

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

using	InputImageConstPointer = typename InputImageType::ConstPointer

using	InputImagePixelType = typename InputImageType::PixelType

using	InputImagePointer = typename InputImageType::Pointer

using	InputImageRegionType = typename InputImageType::RegionType

using	InputImageType = TFeatureImage

using	OutputImagePixelType = typename Superclass::OutputImagePixelType

using	OutputImagePointer = typename Superclass::OutputImagePointer

using	OutputImageRegionType = typename Superclass::OutputImageRegionType

using	OutputImageType = typename Superclass::OutputImageType

using	Pointer = SmartPointer< Self >

using	Self = InPlaceImageFilter

using	Superclass = ImageToImageFilter< TFeatureImage, TOutputImage >

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

using	InputImageConstPointer = typename InputImageType::ConstPointer

using	InputImagePixelType = typename InputImageType::PixelType

using	InputImagePointer = typename InputImageType::Pointer

using	InputImageRegionType = typename InputImageType::RegionType

using	InputImageType = TFeatureImage

using	OutputImagePixelType = typename Superclass::OutputImagePixelType

using	OutputImageRegionType = typename Superclass::OutputImageRegionType

using	Pointer = SmartPointer< Self >

using	Self = ImageToImageFilter

using	Superclass = ImageSource< TOutputImage >

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

using	DataObjectIdentifierType = Superclass::DataObjectIdentifierType

using	DataObjectPointer = DataObject::Pointer

using	DataObjectPointerArraySizeType = Superclass::DataObjectPointerArraySizeType

using	OutputImagePixelType = typename OutputImageType::PixelType

using	OutputImagePointer = typename OutputImageType::Pointer

using	OutputImageRegionType = typename OutputImageType::RegionType

using	OutputImageType = TOutputImage

using	Pointer = SmartPointer< Self >

using	Self = ImageSource

using	Superclass = ProcessObject

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

using	DataObjectIdentifierType = DataObject::DataObjectIdentifierType

using	DataObjectPointer = DataObject::Pointer

using	DataObjectPointerArray = std::vector< DataObjectPointer >

using	DataObjectPointerArraySizeType = DataObjectPointerArray::size_type

using	MultiThreaderType = MultiThreaderBase

using	NameArray = std::vector< DataObjectIdentifierType >

using	Pointer = SmartPointer< Self >

using	Self = ProcessObject

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

virtual const char *	GetNameOfClass () const

void	SetFunctionCount (const IdCellType &n)


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

void	PopBackInput () override

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)

OutputImageType *	GetOutput ()

const OutputImageType *	GetOutput () const

virtual void	GraftOutput (DataObject *output)

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

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

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

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 ()

MultiThreaderType *	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)

void	SetMultiThreader (MultiThreaderType *threader)

virtual void	Update ()

virtual void	UpdateLargestPossibleRegion ()

virtual void	UpdateOutputData (DataObject *output)

virtual void	UpdateOutputInformation ()

void	UpdateProgress (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	SetNumberOfWorkUnits (ThreadIdType _arg)

virtual const ThreadIdType &	GetNumberOfWorkUnits () 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

void	Register () const override

void	RemoveAllObservers ()

void	RemoveObserver (unsigned long tag)

void	SetDebug (bool debugFlag) const

void	SetReferenceCount (int) override

void	UnRegister () const noexceptoverride

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
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 constexpr unsigned int	ImageDimension = Superclass::ImageDimension

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

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

static constexpr unsigned int	OutputImageDimension

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

static constexpr unsigned int	OutputImageDimension

Static Public Attributes inherited from itk::ImageSource< TOutputImage >
static constexpr 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 ()

void	PostProcessOutput () override

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 () override

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

void	GenerateData () override

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 () override

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

virtual bool	GetRunningInPlace () const

	InPlaceImageFilter ()=default

void	ReleaseInputs () override

	~InPlaceImageFilter () override=default

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 ()

void	VerifyInputInformation () ITKv5_CONST override

	~ImageToImageFilter () override

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 ()

void	ClassicMultiThread (ThreadFunctionType callbackFunction)

virtual const ImageRegionSplitterBase *	GetImageRegionSplitter () const

	ImageSource ()

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

	~ImageSource () override=default

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

virtual void	DynamicThreadedGenerateData (const OutputImageRegionType &outputRegionForThread)

virtual bool	GetDynamicMultiThreading () const

virtual void	SetDynamicMultiThreading (bool _arg)

virtual void	DynamicMultiThreadingOn ()

virtual void	DynamicMultiThreadingOff ()

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

void	AddOptionalInputName (const DataObjectIdentifierType &)

void	AddOptionalInputName (const DataObjectIdentifierType &, DataObjectPointerArraySizeType idx)

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

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 () ITKv5_CONST

	~ProcessObject () override

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 () const

DataObject *	GetOutput (const DataObjectIdentifierType &key)

const DataObject *	GetOutput (const DataObjectIdentifierType &key) const

virtual void	SetPrimaryOutputName (const DataObjectIdentifierType &key)

virtual const char *	GetPrimaryOutputName () 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)

	~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 ()

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::ImageSource< TOutputImage >
bool	m_DynamicMultiThreading

Protected Attributes inherited from itk::ProcessObject
TimeStamp	m_OutputInformationMTime

bool	m_Updating

Protected Attributes inherited from itk::LightObject
std::atomic< 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 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 >
using	InputToOutputRegionCopierType = ImageToImageFilterDetail::ImageRegionCopier< Self::OutputImageDimension, Self::InputImageDimension >

using	OutputToInputRegionCopierType = ImageToImageFilterDetail::ImageRegionCopier< Self::InputImageDimension, Self::OutputImageDimension >

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

static ITK_THREAD_RETURN_FUNCTION_CALL_CONVENTION	ThreaderCallback (void *arg)