template<typename TLevelSet, typename TSpeedImage = Image<float, TLevelSet::ImageDimension>>
class itk::FastMarchingImageFilter< TLevelSet, TSpeedImage >
Solve an Eikonal equation using Fast Marching.
Fast marching solves an Eikonal equation where the speed is always non-negative and depends on the position only. Starting from an initial position on the front, fast marching systematically moves the front forward one grid point at a time.
Updates are performed using an entropy satisfy scheme where only "upwind" neighborhoods are used. This implementation of Fast Marching uses a std::priority_queue to locate the next proper grid position to update.
Fast Marching sweeps through N grid points in (N log N) steps to obtain the arrival time value as the front propagates through the grid.
Implementation of this class is based on Chapter 8 of "Level Set Methods and Fast Marching Methods", J.A. Sethian, Cambridge Press, Second edition, 1999.
This class is templated over the level set image type and the speed image type. The initial front is specified by two containers: one containing the known points and one containing the trial points. Alive points are those that are already part of the object, and trial points are considered for inclusion. In order for the filter to evolve, at least some trial points must be specified. These can for instance be specified as the layer of pixels around the alive points.
The speed function can be specified as a speed image or a speed constant. The speed image is set using the method SetInput(). If the speed image is nullptr, a constant speed function is used and is specified using method the SetSpeedConstant().
If the speed function is constant and of value one, fast marching results in an approximate distance function from the initial alive points. FastMarchingImageFilter is used in the ReinitializeLevelSetImageFilter object to create a signed distance function from the zero level set.
The algorithm can be terminated early by setting an appropriate stopping value. The algorithm terminates when the current arrival time being processed is greater than the stopping value.
There are two ways to specify the output image information ( LargestPossibleRegion, Spacing, Origin): (a) it is copied directly from the input speed image or (b) it is specified by the user. Default values are used if the user does not specify all the information.
The output information is computed as follows. If the speed image is nullptr or if the OverrideOutputInformation is set to true, the output information is set from user specified parameters. These parameters can be specified using methods SetOutputRegion(), SetOutputSpacing(), SetOutputDirection(), and SetOutputOrigin(). Else if the speed image is not nullptr, the output information is copied from the input speed image.
For an alternative implementation, see itk::FastMarchingImageFilter.
Possible Improvements: In the current implementation, std::priority_queue only allows taking nodes out from the front and putting nodes in from the back. To update a value already on the heap, a new node is added to the heap. The defunct old node is left on the heap. When it is removed from the top, it will be recognized as invalid and not used. Future implementations can implement the heap in a different way allowing the values to be updated. This will generally require some sift-up and sift-down functions and an image of back-pointers going from the image to heap in order to locate the node which is to be updated.
- See also
- FastMarchingImageFilterBase
-
LevelSetTypeDefault
Definition at line 135 of file itkFastMarchingImageFilter.h.
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NodeContainerPointer | GetAlivePoints () |
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LabelImagePointer | GetLabelImage () const |
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const char * | GetNameOfClass () const override |
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NodeContainerPointer | GetProcessedPoints () const |
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virtual const double & | GetSpeedConstant () const |
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virtual const double & | GetStoppingValue () const |
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NodeContainerPointer | GetTrialPoints () |
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template<typename TPixel > |
void | SetBinaryMask (Image< TPixel, SetDimension > *iImage) |
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virtual void | SetCollectPoints (bool _arg) |
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virtual void | SetStoppingValue (double _arg) |
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void | SetOutsidePoints (NodeContainer *points) |
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void | SetAlivePoints (NodeContainer *points) |
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void | SetTrialPoints (NodeContainer *points) |
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void | SetSpeedConstant (double value) |
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virtual void | SetNormalizationFactor (double _arg) |
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virtual double | GetNormalizationFactor () const |
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virtual const bool & | GetCollectPoints () const |
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virtual void | CollectPointsOn () |
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virtual void | SetOutputSize (const OutputSizeType &size) |
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virtual OutputSizeType | GetOutputSize () const |
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virtual void | SetOutputRegion (OutputRegionType _arg) |
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virtual const OutputRegionType & | GetOutputRegion () const |
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virtual void | SetOutputSpacing (OutputSpacingType _arg) |
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virtual const OutputSpacingType & | GetOutputSpacing () const |
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virtual void | SetOutputDirection (OutputDirectionType _arg) |
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virtual const OutputDirectionType & | GetOutputDirection () const |
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virtual void | SetOutputOrigin (OutputPointType _arg) |
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virtual const OutputPointType & | GetOutputOrigin () const |
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virtual void | SetOverrideOutputInformation (bool _arg) |
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virtual const bool & | GetOverrideOutputInformation () const |
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virtual void | OverrideOutputInformationOn () |
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const InputImageType * | GetInput () const |
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const InputImageType * | GetInput (unsigned int idx) const |
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const char * | GetNameOfClass () const override |
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void | PopBackInput () override |
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void | PopFrontInput () override |
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virtual void | PushBackInput (const InputImageType *input) |
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virtual void | PushFrontInput (const InputImageType *input) |
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virtual void | SetInput (const DataObjectIdentifierType &key, DataObject *input) |
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virtual void | SetInput (const InputImageType *input) |
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virtual void | SetInput (unsigned int, const Image< float, TLevelSet::ImageDimension > *image) |
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virtual void | SetCoordinateTolerance (double _arg) |
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virtual double | GetCoordinateTolerance () const |
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virtual void | SetDirectionTolerance (double _arg) |
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virtual double | GetDirectionTolerance () const |
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const char * | GetNameOfClass () const override |
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OutputImageType * | GetOutput (unsigned int idx) |
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OutputImageType * | GetOutput () |
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const OutputImageType * | GetOutput () const |
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virtual void | GraftOutput (DataObject *graft) |
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virtual void | GraftOutput (const DataObjectIdentifierType &key, DataObject *graft) |
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virtual void | GraftNthOutput (unsigned int idx, DataObject *graft) |
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ProcessObject::DataObjectPointer | MakeOutput (ProcessObject::DataObjectPointerArraySizeType idx) override |
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ProcessObject::DataObjectPointer | MakeOutput (const ProcessObject::DataObjectIdentifierType &) override |
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virtual void | AbortGenerateDataOn () |
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virtual void | EnlargeOutputRequestedRegion (DataObject *) |
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virtual const bool & | GetAbortGenerateData () const |
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DataObjectPointerArray | GetIndexedInputs () |
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DataObjectPointerArray | GetIndexedOutputs () |
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NameArray | GetInputNames () const |
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DataObjectPointerArray | GetInputs () |
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MultiThreaderType * | GetMultiThreader () const |
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const char * | GetNameOfClass () const override |
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DataObjectPointerArraySizeType | GetNumberOfIndexedInputs () const |
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DataObjectPointerArraySizeType | GetNumberOfIndexedOutputs () const |
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DataObjectPointerArraySizeType | GetNumberOfInputs () const |
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DataObjectPointerArraySizeType | GetNumberOfOutputs () const |
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virtual DataObjectPointerArraySizeType | GetNumberOfValidRequiredInputs () const |
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NameArray | GetOutputNames () const |
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DataObjectPointerArray | GetOutputs () |
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virtual float | GetProgress () const |
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NameArray | GetRequiredInputNames () const |
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bool | HasInput (const DataObjectIdentifierType &key) const |
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bool | HasOutput (const DataObjectIdentifierType &key) const |
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void | IncrementProgress (float increment) |
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virtual DataObjectPointer | MakeOutput (const DataObjectIdentifierType &) |
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virtual DataObjectPointer | MakeOutput (DataObjectPointerArraySizeType idx) |
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virtual void | PrepareOutputs () |
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virtual void | PropagateRequestedRegion (DataObject *output) |
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virtual void | ResetPipeline () |
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virtual void | SetAbortGenerateData (bool _arg) |
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void | SetMultiThreader (MultiThreaderType *threader) |
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virtual void | Update () |
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virtual void | UpdateLargestPossibleRegion () |
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virtual void | UpdateOutputData (DataObject *output) |
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virtual void | UpdateOutputInformation () |
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void | UpdateProgress (float progress) |
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virtual void | SetReleaseDataFlag (bool val) |
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virtual bool | GetReleaseDataFlag () const |
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void | ReleaseDataFlagOn () |
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void | ReleaseDataFlagOff () |
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virtual void | SetReleaseDataBeforeUpdateFlag (bool _arg) |
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virtual const bool & | GetReleaseDataBeforeUpdateFlag () const |
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virtual void | ReleaseDataBeforeUpdateFlagOn () |
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virtual void | SetNumberOfWorkUnits (ThreadIdType _arg) |
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virtual const ThreadIdType & | GetNumberOfWorkUnits () const |
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unsigned long | AddObserver (const EventObject &event, Command *) |
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unsigned long | AddObserver (const EventObject &event, Command *) const |
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unsigned long | AddObserver (const EventObject &event, std::function< void(const EventObject &)> function) const |
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LightObject::Pointer | CreateAnother () const override |
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virtual void | DebugOff () const |
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virtual void | DebugOn () const |
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Command * | GetCommand (unsigned long tag) |
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bool | GetDebug () const |
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MetaDataDictionary & | GetMetaDataDictionary () |
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const MetaDataDictionary & | GetMetaDataDictionary () const |
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virtual ModifiedTimeType | GetMTime () const |
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const char * | GetNameOfClass () const override |
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virtual const TimeStamp & | GetTimeStamp () const |
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bool | HasObserver (const EventObject &event) const |
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void | InvokeEvent (const EventObject &) |
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void | InvokeEvent (const EventObject &) const |
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virtual void | Modified () const |
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void | Register () const override |
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void | RemoveAllObservers () |
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void | RemoveObserver (unsigned long tag) |
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void | SetDebug (bool debugFlag) const |
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void | SetReferenceCount (int) override |
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void | UnRegister () const noexcept override |
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void | SetMetaDataDictionary (const MetaDataDictionary &rhs) |
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void | SetMetaDataDictionary (MetaDataDictionary &&rrhs) |
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virtual void | SetObjectName (std::string _arg) |
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virtual const std::string & | GetObjectName () const |
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Pointer | Clone () const |
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virtual Pointer | CreateAnother () const |
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virtual void | Delete () |
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virtual const char * | GetNameOfClass () const |
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virtual int | GetReferenceCount () const |
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void | Print (std::ostream &os, Indent indent=0) const |
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virtual void | Register () const |
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virtual void | SetReferenceCount (int) |
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virtual void | UnRegister () const noexcept |
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void | EnlargeOutputRequestedRegion (DataObject *output) override |
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| FastMarchingImageFilter () |
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void | GenerateData () override |
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void | GenerateOutputInformation () override |
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virtual const PixelType & | GetLargeValue () const |
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virtual const LevelSetIndexType & | GetLastIndex () const |
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const AxisNodeType & | GetNodeUsedInCalculation (unsigned int idx) const |
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virtual const LevelSetIndexType & | GetStartIndex () const |
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virtual void | Initialize (LevelSetImageType *) |
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void | PrintSelf (std::ostream &os, Indent indent) const override |
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virtual void | UpdateNeighbors (const IndexType &index, const SpeedImageType *, LevelSetImageType *) |
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virtual double | UpdateValue (const IndexType &index, const SpeedImageType *, LevelSetImageType *) |
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| ~FastMarchingImageFilter () override=default |
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virtual void | CallCopyInputRegionToOutputRegion (OutputImageRegionType &destRegion, const InputImageRegionType &srcRegion) |
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virtual void | CallCopyOutputRegionToInputRegion (InputImageRegionType &destRegion, const OutputImageRegionType &srcRegion) |
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void | GenerateInputRequestedRegion () override |
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| ImageToImageFilter () |
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void | PrintSelf (std::ostream &os, Indent indent) const override |
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void | VerifyInputInformation () ITKv5_CONST override |
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| ~ImageToImageFilter () override=default |
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virtual void | PushBackInput (const DataObject *input) |
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virtual void | PushFrontInput (const DataObject *input) |
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virtual void | AfterThreadedGenerateData () |
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virtual void | AllocateOutputs () |
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virtual void | BeforeThreadedGenerateData () |
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void | ClassicMultiThread (ThreadFunctionType callbackFunction) |
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void | GenerateData () override |
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virtual const ImageRegionSplitterBase * | GetImageRegionSplitter () const |
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| ImageSource () |
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void | PrintSelf (std::ostream &os, Indent indent) const override |
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virtual unsigned int | SplitRequestedRegion (unsigned int i, unsigned int pieces, OutputImageRegionType &splitRegion) |
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| ~ImageSource () override=default |
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virtual void | ThreadedGenerateData (const OutputImageRegionType ®ion, ThreadIdType threadId) |
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virtual void | DynamicThreadedGenerateData (const OutputImageRegionType &outputRegionForThread) |
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virtual bool | GetDynamicMultiThreading () const |
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virtual void | SetDynamicMultiThreading (bool _arg) |
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virtual void | DynamicMultiThreadingOn () |
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virtual void | AddInput (DataObject *input) |
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void | AddOptionalInputName (const DataObjectIdentifierType &) |
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void | AddOptionalInputName (const DataObjectIdentifierType &, DataObjectPointerArraySizeType idx) |
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virtual void | AddOutput (DataObject *output) |
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bool | AddRequiredInputName (const DataObjectIdentifierType &) |
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bool | AddRequiredInputName (const DataObjectIdentifierType &, DataObjectPointerArraySizeType idx) |
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virtual void | CacheInputReleaseDataFlags () |
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virtual void | GenerateData () |
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virtual void | GenerateInputRequestedRegion () |
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virtual void | GenerateOutputInformation () |
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virtual void | GenerateOutputRequestedRegion (DataObject *output) |
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DataObject * | GetInput (const DataObjectIdentifierType &key) |
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const DataObject * | GetInput (const DataObjectIdentifierType &key) const |
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virtual const DataObjectPointerArraySizeType & | GetNumberOfRequiredInputs () const |
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virtual const DataObjectPointerArraySizeType & | GetNumberOfRequiredOutputs () const |
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bool | IsIndexedInputName (const DataObjectIdentifierType &) const |
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bool | IsIndexedOutputName (const DataObjectIdentifierType &) const |
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bool | IsRequiredInputName (const DataObjectIdentifierType &) const |
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DataObjectPointerArraySizeType | MakeIndexFromInputName (const DataObjectIdentifierType &name) const |
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DataObjectPointerArraySizeType | MakeIndexFromOutputName (const DataObjectIdentifierType &name) const |
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DataObjectIdentifierType | MakeNameFromInputIndex (DataObjectPointerArraySizeType idx) const |
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DataObjectIdentifierType | MakeNameFromOutputIndex (DataObjectPointerArraySizeType idx) const |
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virtual void | PopBackInput () |
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virtual void | PopFrontInput () |
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void | PrintSelf (std::ostream &os, Indent indent) const override |
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| ProcessObject () |
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virtual void | PropagateResetPipeline () |
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virtual void | PushBackInput (const DataObject *input) |
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virtual void | PushFrontInput (const DataObject *input) |
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virtual void | ReleaseInputs () |
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virtual void | RemoveInput (const DataObjectIdentifierType &key) |
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virtual void | RemoveInput (DataObjectPointerArraySizeType) |
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virtual void | RemoveOutput (const DataObjectIdentifierType &key) |
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virtual void | RemoveOutput (DataObjectPointerArraySizeType idx) |
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bool | RemoveRequiredInputName (const DataObjectIdentifierType &) |
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virtual void | RestoreInputReleaseDataFlags () |
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virtual void | SetInput (const DataObjectIdentifierType &key, DataObject *input) |
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virtual void | SetNthInput (DataObjectPointerArraySizeType idx, DataObject *input) |
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virtual void | SetNthOutput (DataObjectPointerArraySizeType idx, DataObject *output) |
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void | SetNumberOfIndexedInputs (DataObjectPointerArraySizeType num) |
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void | SetNumberOfIndexedOutputs (DataObjectPointerArraySizeType num) |
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virtual void | SetNumberOfRequiredInputs (DataObjectPointerArraySizeType) |
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virtual void | SetNumberOfRequiredOutputs (DataObjectPointerArraySizeType _arg) |
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virtual void | SetOutput (const DataObjectIdentifierType &name, DataObject *output) |
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virtual void | SetPrimaryInput (DataObject *object) |
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virtual void | SetPrimaryOutput (DataObject *object) |
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void | SetRequiredInputNames (const NameArray &) |
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virtual void | VerifyInputInformation () ITKv5_CONST |
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virtual void | VerifyPreconditions () ITKv5_CONST |
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| ~ProcessObject () override |
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DataObject * | GetInput (DataObjectPointerArraySizeType idx) |
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const DataObject * | GetInput (DataObjectPointerArraySizeType idx) const |
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DataObject * | GetPrimaryInput () |
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const DataObject * | GetPrimaryInput () const |
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virtual void | SetPrimaryInputName (const DataObjectIdentifierType &key) |
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virtual const char * | GetPrimaryInputName () const |
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DataObject * | GetOutput (const DataObjectIdentifierType &key) |
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const DataObject * | GetOutput (const DataObjectIdentifierType &key) const |
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virtual void | SetPrimaryOutputName (const DataObjectIdentifierType &key) |
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virtual const char * | GetPrimaryOutputName () const |
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DataObject * | GetOutput (DataObjectPointerArraySizeType i) |
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const DataObject * | GetOutput (DataObjectPointerArraySizeType i) const |
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DataObject * | GetPrimaryOutput () |
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const DataObject * | GetPrimaryOutput () const |
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virtual bool | GetThreaderUpdateProgress () const |
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virtual void | ThreaderUpdateProgressOn () |
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virtual void | SetThreaderUpdateProgress (bool arg) |
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| Object () |
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bool | PrintObservers (std::ostream &os, Indent indent) const |
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void | PrintSelf (std::ostream &os, Indent indent) const override |
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virtual void | SetTimeStamp (const TimeStamp &timeStamp) |
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| ~Object () override |
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virtual LightObject::Pointer | InternalClone () const |
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| LightObject () |
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virtual void | PrintHeader (std::ostream &os, Indent indent) const |
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virtual void | PrintSelf (std::ostream &os, Indent indent) const |
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virtual void | PrintTrailer (std::ostream &os, Indent indent) const |
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virtual | ~LightObject () |
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