Numerical modeling of the upper and lower major temporal arcade in fundus images using genetic algorithms | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Numerical modeling of the upper and lower major temporal arcade in fundus images using genetic algorithms José Alfredo Soto Álvarez, Luis Alberto Torres Luna, Teodoro Córdova Fraga, and 1 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5040985/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract In this paper, a new numerical modeling methodology is presented for the thickest vein in the retina, the major temporal arcade, since previous studies have shown that modifications in its opening, tortuosity and even thickness are indicative that the patient suffers from a type of retinopathy, which if not treated promptly, can lead to irreversible blindness. A model for the arcade vein is analyzed by spline functions, where a genetic algorithm was applied to determine the control points. Subsequently, once the model was determined, the equations of the cubic tracers were used to estimate the opening angle of the arcade. The results obtained were compared using two measures, the mean distance to the closest point and the Hausdorff distance. Although the UMDA+SA method remains the fastest, the proposed method is only 0.39 seconds below it, however, its measurements are 27.81 and 68.39 (Mean Distance to the Closest Point and Hausdorff distance) pixels larger with respect to the new method. Different measurements for the opening angle were obtained for the set of images from the DRIVE database. The models of cubic splines and the opening angle have been obtained quickly and this type of functions are excellent since they are smooth functions and do not present abrupt oscillations in the fit. genetic algorithm cubic splines retina fundus images major temporal arcade Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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