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Slope Chain Code-based scale-independent tortuosity measurement on retinal vessels
Zian Fanti1, Ulf-Dietrich Braumann2, Franziska G Rauscher3
1Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas (IIMAS), Universidad Nacional Autónoma de México (UNAM), Apdo. 20-126, Ciudad de México 1000, México.
Experimental Eye Research
|February 22, 2025
Summary
A new scale-invariant metric, the Extended Slope Chain Code, accurately measures retinal vascular tortuosity. A novel database, SCALE-TORT, was created to validate this metric
Area of Science:
- Ophthalmology
- Biomedical Engineering
- Medical Imaging
Background:
- Retinal vascular tortuosity is a key biomarker for systemic and vascular diseases.
- Accurate measurement of tortuosity is crucial for clinical applications.
- Existing metrics may lack scale invariance, limiting their reliability across different imaging settings.
Purpose of the Study:
- To introduce a novel, scale-invariant metric for measuring retinal blood vessel tortuosity.
- To develop and present the SCALE-TORT database for evaluating scale invariance on real retinal vessel data.
- To compare the proposed metric against existing tortuosity measurement methods.
Main Methods:
- Developed a scale-invariant tortuosity metric based on the Extended Slope Chain Code.
- Created the SCALE-TORT database using semi-automated methods from paired retinal images (fundus camera and scanning laser ophthalmoscope).
- Evaluated ten tortuosity metrics, including the proposed one, through three experiments using synthetic and real retinal data.
Main Results:
- The Extended Slope Chain Code metric demonstrated optimal scale invariance and sensitivity to tortuosity changes.
- The SCALE-TORT database provides a valuable resource for assessing scale invariance in retinal imaging.
- The proposed metric offers easy implementation and reliable performance compared to other methods.
Conclusions:
- The novel Extended Slope Chain Code metric is a robust tool for assessing retinal vascular tortuosity.
- The SCALE-TORT database facilitates the validation of scale-invariant tortuosity metrics.
- This work advances the use of retinal vascular tortuosity as a reliable clinical biomarker.

