template<class TLevelSet, class 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 preformed 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 NULL, 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 NULL 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 NULL, the output information is copied from the input speed image.
Possible Improvements: In the current implemenation, 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
- LevelSetTypeDefault
Definition at line 105 of file itkFastMarchingImageFilter.h.
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| virtual ::itk::LightObject::Pointer | CreateAnother (void) const |
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| NodeContainerPointer | GetAlivePoints () |
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| LabelImagePointer | GetLabelImage () const |
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| virtual const char * | GetNameOfClass () const |
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| NodeContainerPointer | GetProcessedPoints () const |
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| virtual const double & | GetSpeedConstant () |
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| virtual const double & | GetStoppingValue () |
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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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| | typedef (Concept::SameDimension< SetDimension, SpeedImageDimension >) SameDimensionCheck |
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| | typedef (Concept::Convertible< typename TSpeedImage::PixelType, double >) SpeedConvertibleToDoubleCheck |
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| | typedef (Concept::Convertible< double, PixelType >) DoubleConvertibleToLevelSetCheck |
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| | typedef (Concept::OStreamWritable< PixelType >) LevelSetOStreamWritableCheck |
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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 () |
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| virtual void | CollectPointsOn () |
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| virtual void | CollectPointsOff () |
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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 () |
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| virtual void | SetOutputSpacing (OutputSpacingType _arg) |
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| virtual const OutputSpacingType & | GetOutputSpacing () |
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| virtual void | SetOutputDirection (OutputDirectionType _arg) |
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| virtual const OutputDirectionType & | GetOutputDirection () |
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| virtual void | SetOutputOrigin (OutputPointType _arg) |
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| virtual const OutputPointType & | GetOutputOrigin () |
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| virtual void | SetOverrideOutputInformation (bool _arg) |
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| virtual const bool & | GetOverrideOutputInformation () |
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| virtual void | OverrideOutputInformationOn () |
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| virtual void | OverrideOutputInformationOff () |
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| const InputImageType * | GetInput (void) const |
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| const InputImageType * | GetInput (unsigned int idx) const |
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| virtual void | PopBackInput () |
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| virtual void | PopFrontInput () |
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| virtual void | PushBackInput (const InputImageType *image) |
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| virtual void | PushFrontInput (const InputImageType *image) |
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| virtual void | SetInput (const InputImageType *image) |
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| virtual void | SetInput (unsigned int, const TSpeedImage *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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| OutputImageType * | GetOutput (unsigned int idx) |
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| virtual void | GraftNthOutput (unsigned int idx, DataObject *output) |
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| virtual void | GraftOutput (DataObject *output) |
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| virtual void | GraftOutput (const DataObjectIdentifierType &key, DataObject *output) |
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| OutputImageType * | GetOutput (void) |
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| const OutputImageType * | GetOutput (void) const |
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virtual
ProcessObject::DataObjectPointer | MakeOutput (ProcessObject::DataObjectPointerArraySizeType idx) |
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| virtual void | AbortGenerateDataOff () |
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| virtual void | AbortGenerateDataOn () |
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| virtual const bool & | GetAbortGenerateData () |
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| NameArray | GetInputNames () const |
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| MultiThreader * | GetMultiThreader () const |
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| DataObjectPointerArraySizeType | GetNumberOfIndexedInputs () 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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| virtual const float & | GetProgress () |
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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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| virtual DataObjectPointer | MakeOutput (const DataObjectIdentifierType &) |
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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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| virtual void | SetProgress (float _arg) |
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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 amount) |
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| DataObjectPointerArray | GetInputs () |
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| DataObjectPointerArray | GetOutputs () |
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| DataObjectPointerArray | GetIndexedInputs () |
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| DataObjectPointerArray | GetIndexedOutputs () |
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| DataObjectPointerArraySizeType | GetNumberOfIndexedOutputs () const |
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| virtual void | SetReleaseDataFlag (bool flag) |
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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 () |
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| virtual void | ReleaseDataBeforeUpdateFlagOn () |
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| virtual void | ReleaseDataBeforeUpdateFlagOff () |
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| virtual void | SetNumberOfThreads (ThreadIdType _arg) |
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| virtual const ThreadIdType & | GetNumberOfThreads () |
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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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| 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 (void) |
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| const MetaDataDictionary & | GetMetaDataDictionary (void) const |
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| virtual ModifiedTimeType | GetMTime () const |
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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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| virtual void | Register () const |
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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 | SetMetaDataDictionary (const MetaDataDictionary &rhs) |
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| virtual void | SetReferenceCount (int) |
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| virtual void | UnRegister () const |
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| virtual void | Delete () |
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| virtual int | GetReferenceCount () const |
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| | itkCloneMacro (Self) |
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| void | Print (std::ostream &os, Indent indent=0) const |
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| virtual void | EnlargeOutputRequestedRegion (DataObject *output) |
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| | FastMarchingImageFilter () |
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| void | GenerateData () |
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| virtual void | GenerateOutputInformation () |
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| virtual const PixelType & | GetLargeValue () |
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| virtual const LevelSetIndexType & | GetLastIndex () |
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| const AxisNodeType & | GetNodeUsedInCalculation (unsigned int idx) const |
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| virtual const LevelSetIndexType & | GetStartIndex () |
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| virtual void | Initialize (LevelSetImageType *) |
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| void | PrintSelf (std::ostream &os, Indent indent) const |
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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 () |
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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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| virtual void | GenerateInputRequestedRegion () |
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| | ImageToImageFilter () |
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| virtual void | VerifyInputInformation () |
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| | ~ImageToImageFilter () |
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| void | PushBackInput (const DataObject *input) |
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| 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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virtual const
ImageRegionSplitterBase * | GetImageRegionSplitter (void) const |
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| | ImageSource () |
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| virtual unsigned int | SplitRequestedRegion (unsigned int i, unsigned int num, OutputImageRegionType &splitRegion) |
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| virtual void | ThreadedGenerateData (const OutputImageRegionType &outputRegionForThread, ThreadIdType threadId) |
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| virtual | ~ImageSource () |
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| virtual void | AddInput (DataObject *input) |
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| virtual void | AddOutput (DataObject *output) |
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| virtual void | CacheInputReleaseDataFlags () |
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| virtual void | GenerateOutputRequestedRegion (DataObject *output) |
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virtual const
DataObjectPointerArraySizeType & | GetNumberOfRequiredOutputs () |
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| bool | IsIndexedInputName (const DataObjectIdentifierType &) const |
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| bool | IsIndexedOutputName (const DataObjectIdentifierType &) const |
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| | itkLegacyMacro (virtual void RemoveOutput(DataObject *output)) |
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| | itkLegacyMacro (void SetNumberOfOutputs(DataObjectPointerArraySizeType num)) |
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| | itkLegacyMacro (virtual void RemoveInput(DataObject *input)) |
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| | itkLegacyMacro (void SetNumberOfInputs(DataObjectPointerArraySizeType num)) |
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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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| | ProcessObject () |
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| virtual void | PropagateResetPipeline () |
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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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| virtual void | RestoreInputReleaseDataFlags () |
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| virtual void | SetInput (const DataObjectIdentifierType &key, DataObject *input) |
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| virtual void | SetNthInput (DataObjectPointerArraySizeType num, DataObject *input) |
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| virtual void | SetNthOutput (DataObjectPointerArraySizeType num, DataObject *output) |
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| void | SetNumberOfIndexedInputs (DataObjectPointerArraySizeType num) |
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| void | SetNumberOfIndexedOutputs (DataObjectPointerArraySizeType num) |
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| virtual void | SetNumberOfRequiredOutputs (DataObjectPointerArraySizeType _arg) |
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| virtual void | SetOutput (const DataObjectIdentifierType &key, DataObject *output) |
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| virtual void | SetPrimaryInput (DataObject *input) |
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| virtual void | SetPrimaryOutput (DataObject *output) |
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| virtual void | VerifyPreconditions () |
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| | ~ProcessObject () |
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| DataObject * | GetInput (const DataObjectIdentifierType &key) |
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| const DataObject * | GetInput (const DataObjectIdentifierType &key) const |
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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 (void) const |
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| virtual void | SetNumberOfRequiredInputs (DataObjectPointerArraySizeType) |
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virtual const
DataObjectPointerArraySizeType & | GetNumberOfRequiredInputs () |
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| bool | AddRequiredInputName (const DataObjectIdentifierType &) |
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| bool | AddRequiredInputName (const DataObjectIdentifierType &, DataObjectPointerArraySizeType idx) |
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| bool | RemoveRequiredInputName (const DataObjectIdentifierType &) |
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| bool | IsRequiredInputName (const DataObjectIdentifierType &) const |
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| void | SetRequiredInputNames (const NameArray &) |
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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 (void) const |
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| DataObject * | GetOutput (DataObjectPointerArraySizeType idx) |
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| const DataObject * | GetOutput (DataObjectPointerArraySizeType idx) const |
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| DataObject * | GetPrimaryOutput () |
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| const DataObject * | GetPrimaryOutput () const |
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| | Object () |
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| bool | PrintObservers (std::ostream &os, Indent indent) const |
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| virtual void | SetTimeStamp (const TimeStamp &time) |
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| virtual | ~Object () |
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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 | PrintTrailer (std::ostream &os, Indent indent) const |
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| virtual | ~LightObject () |
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Inheritance diagram for itk::FastMarchingImageFilter< TLevelSet, TSpeedImage >:
1.8.3.1
