Title: Analysis of fractal dimension of segmented blood vessels in fundus images using U-Net architecture

Authors: Saranya Mariyappan; K.A. Sunitha; Sridhar P. Arjunan

Addresses: Department of Electronics and Instrumentation Engineering, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur-603203, Tamil Nadu, India ' Department of Electronics and Communication Engineering, SRM University-AP, Amaravati-522502, Andhra Pradesh, India ' Department of Electronics and Instrumentation Engineering, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur-603203, Tamil Nadu, India

Abstract: Precise segmentation of retinal blood vessels (RBVs) is pivotal in ophthalmology research, aiding in detecting diverse retinal abnormalities. This study proposes a contrast-limited adaptive histogram equalisation (CLAHE) technique to improve retinal image quality and visibility of microvascular structures. We aimed to determine the complexity of blood vessels using fractal dimensions (FD) and compare different metrics for their effectiveness. We employed the UNet architecture to separate blood vessels, and our results on the DRIVE retinal fundus image standard dataset showed an impressive accuracy rate of 97.24%, surpassing traditional filtering methods. Box counting, information, capacity, correlation, and probability dimensions are used in the FD analysis to help us understand the complex and irregular structures of retinal blood vessels. These metrics are valuable for detecting and monitoring retinal diseases in clinical settings. Our comparison with other techniques reveals promising results, particularly in the capacity and information dimensions, with statistical significance (P < 0.05). The potential of fractal dimensions as a screening tool for diabetic retinopathy underscores their importance in epidemiological studies.

Keywords: blood vessels; fundus image; DRIVE dataset; filter techniques; U-Net architecture; fractal dimension; diabetic retinopathy; statistical analysis; deep learning; retinal vessel augmentation; structural complexity.

DOI: 10.1504/IJBET.2025.144946

International Journal of Biomedical Engineering and Technology, 2025 Vol.47 No.3, pp.214 - 240

Received: 20 May 2024
Accepted: 20 Aug 2024

Published online: 13 Mar 2025 *

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