template<typename TInputImage, typename TOutputImage>
class itk::ObjectnessMeasureImageFilter< TInputImage, TOutputImage >
Enhance M-dimensional objects in N-dimensional images.
This filter is a generalization of Frangi's vesselness measurement for detecting M-dimensional object in N-dimensional space. For example a vessel is a 1-D object in 3-D space. The filter can enhance blob-like structures (M=0), vessel-like structures (M=1), 2D plate-like structures (M=2), hyper-plate-like structures (M=3) in N-dimensional images, with M<N.
This filter takes a scalar image as input and produces a real valued image as output which contains the objectness measure at each pixel. Internally, it computes a Hessian via discrete central differences. Before applying this filter it is expected that a Gaussian smoothing filter at an appropriate scale (sigma) was applied to the input image.
The enhancement is based on the eigenvalues of the Hessian matrix. For the Frangi's vesselness case were M=1 and N=3 we have the 3 eigenvalues such that 
. The formula follows:
![\[ R_A = \frac{|\lambda_2|}{|\lambda_3|}, \; R_B = \frac{|\lambda_2|}{|\lambda_2\lambda_3|}, \; S = \sqrt{\lambda_1^2+\lambda_2^2+\lambda_3^2} \]](form_525.png)
![\[ V_{\sigma}= \begin{cases} (1-e^{-\frac{R_A^2}{2\alpha^2}}) \cdot e^{\frac{R_B^2}{2\beta^2}} \cdot (1-e^{-\frac{S^2}{2\gamma^2}}) & \text{if } \lambda_2<0 \text{ and } \lambda_3<0 \text{,}\\ 0 & \text{otherwise} \end{cases} \]](form_526.png)
- References
- Antiga, L. Generalizing vesselness with respect to dimensionality and shape. https://hdl.handle.net/1926/576
- Frangi, AF, Niessen, WJ, Vincken, KL, & Viergever, MA (1998). Multiscale Vessel Enhancement Filtering. In Wells, WM, Colchester, A, & Delp, S, Editors, MICCAI '98 Medical Image Computing and Computer-Assisted Intervention, Lecture Notes in Computer Science, pages 130-137, Springer Verlag, 1998.
- See Also
- itk::HessianToObjectnessMeasureImageFilter
Definition at line 76 of file itkObjectnessMeasureImageFilter.h.
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| void | EnlargeOutputRequestedRegion (DataObject *output) override |
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| void | GenerateData () override |
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| | ObjectnessMeasureImageFilter () |
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| void | PrintSelf (std::ostream &os, Indent indent) const override |
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| | ~ObjectnessMeasureImageFilter () override |
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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 | VerifyInputInformation () ITKv5_CONST override |
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| | ~ImageToImageFilter () override |
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| void | PushBackInput (const DataObject *input) override |
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| void | PushFrontInput (const DataObject *input) override |
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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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virtual const
ImageRegionSplitterBase * | GetImageRegionSplitter () const |
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| | ImageSource () |
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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 &outputRegionForThread, 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 | DynamicMultiThreadingOff () |
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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 | 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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| | 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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| 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 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 | SetNumberOfRequiredInputs (DataObjectPointerArraySizeType) |
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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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| void | SetRequiredInputNames (const NameArray &) |
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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 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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| | ~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 | PrintTrailer (std::ostream &os, Indent indent) const |
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| virtual | ~LightObject () |
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template<typename TInputImage , typename TOutputImage >
Give the process object a chance to indictate that it will produce more output than it was requested to produce. For example, many imaging filters must compute the entire output at once or can only produce output in complete slices. Such filters cannot handle smaller requested regions. These filters must provide an implementation of this method, setting the output requested region to the size they will produce. By default, a process object does not modify the size of the output requested region.
Reimplemented from itk::ProcessObject.
Inheritance diagram for itk::ObjectnessMeasureImageFilter< TInputImage, TOutputImage >:
1.8.5
