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Robust Detection and Modeling of the Major Temporal Arcade in Retinal Fundus Images

Author

Listed:
  • Dora Elisa Alvarado-Carrillo

    (Center for Research in Mathematics (CIMAT), Guanajuato 36000, GTO, Mexico)

  • Iván Cruz-Aceves

    (National Council of Science and Technology (CONACYT)-Center for Research in Mathematics (CIMAT), Guanajuato 36000, GTO, Mexico)

  • Martha Alicia Hernández-González

    (High Specialty Medical Unit (UMAE), Specialties Hospital No. 1, Mexican Social Security Institute (IMSS), Leon 37320, GTO, Mexico)

  • Luis Miguel López-Montero

    (High Specialty Medical Unit (UMAE), Specialties Hospital No. 1, Mexican Social Security Institute (IMSS), Leon 37320, GTO, Mexico)

Abstract

The Major Temporal Arcade (MTA) is a critical component of the retinal structure that facilitates clinical diagnosis and monitoring of various ocular pathologies. Although recent works have addressed the quantitative analysis of the MTA through parametric modeling, their efforts are strongly based on an assumption of symmetry in the MTA shape. This work presents a robust method for the detection and piecewise parametric modeling of the MTA in fundus images. The model consists of a piecewise parametric curve with the ability to consider both symmetric and asymmetric scenarios. In an initial stage, multiple models are built from random blood vessel points taken from the blood-vessel segmented retinal image, following a weighted-RANSAC strategy. To choose the final model, the algorithm extracts blood-vessel width and grayscale-intensity features and merges them to obtain a coarse MTA probability function, which is used to weight the percentage of inlier points for each model. This procedure promotes selecting a model based on points with high MTA probability. Experimental results in the public benchmark dataset Digital Retinal Images for Vessel Extraction (DRIVE), for which manual MTA delineations have been prepared, indicate that the proposed method outperforms existing approaches with a balanced Accuracy of 0.7067 , Mean Distance to Closest Point of 7.40 pixels, and Hausdorff Distance of 27.96 pixels, while demonstrating competitive results in terms of execution time ( 9.93 s per image).

Suggested Citation

  • Dora Elisa Alvarado-Carrillo & Iván Cruz-Aceves & Martha Alicia Hernández-González & Luis Miguel López-Montero, 2022. "Robust Detection and Modeling of the Major Temporal Arcade in Retinal Fundus Images," Mathematics, MDPI, vol. 10(8), pages 1-16, April.
  • Handle: RePEc:gam:jmathe:v:10:y:2022:i:8:p:1334-:d:795945
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    Cited by:

    1. Sofía Ortín Vela & Michael J. Beyeler & Olga Trofimova & Ilaria Iuliani & Jose D. Vargas Quiros & Victor A. Vries & Ilenia Meloni & Adham Elwakil & Florence Hoogewoud & Bart Liefers & David Presby & W, 2024. "Phenotypic and genetic characteristics of retinal vascular parameters and their association with diseases," Nature Communications, Nature, vol. 15(1), pages 1-17, December.

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