The caliber and configuration of retinal blood vessels serve as important biomarkers for various diseases and medical conditions. A thorough analysis of the retinal vasculature requires the segmentation of blood vessels and their classification into arteries and veins, which is typically performed on color fundus images obtained by retinography, a widely used imaging technique. Nonetheless, manually performing these tasks is labor-intensive and prone to human error. Various automated methods have been proposed to address this problem. However, the current state of art in artery/vein segmentation and classification faces challenges due to manifest classification errors that affect the topological consistency of segmentation maps. This study presents an innovative end-to-end framework, RRWNet, designed to recursively refine semantic segmentation maps and correct manifest classification errors. The framework consists of a fully convolutional neural network with a Base subnetwork that generates base segmentation maps from input images, and a Recursive Refinement subnetwork that iteratively and recursively improves these maps. Evaluation on public datasets demonstrates the state-of-the-art performance of the proposed method, yielding more topologically consistent segmentation maps with fewer manifest classification errors than existing approaches. In addition, the Recursive Refinement module proves effective in post-processing segmentation maps from other methods, automatically correcting classification errors and improving topological consistency. The model code, weights, and predictions are publicly available at https://github.com/j-morano/rrwnet.

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