Beyond Volume Overlap: Surface Matching for Topology-Aware Coronary Artery Segmentation

Rafael Velasquez; Esther Puyol-Antón; Pablo Arbeláez

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arXiv · 2609.31740

Beyond Volume Overlap: Surface Matching for Topology-Aware Coronary Artery Segmentation

Rafael Velasquez·Esther Puyol-Antón·Pablo Arbeláez

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Abstract

Accurate coronary artery segmentation on coronary computed tomography angiography (CCTA) is essential for diagnosing coronary artery disease. Deep networks are conventionally trained and evaluated with the Dice coefficient, but volume-overlap metrics are poorly suited to thin, tubular anatomy: since most voxels belong to a few thickproximal segments, a missing distal branch barely affects Dice despite severely disrupting the connectivity required for clinical use. We introduce a surface metric that matches predicted and reference surface points via bipartite assignment under a localized, vessel-radius tolerance, reporting precision, recall, and F1 with decoupled false positives (spurious branches) and false negatives (missed branches) a distinction the symmetric Dice cannot make. With it we show that a strong Dice-trained baseline omits far more vessel surface than it hallucinates, an asymmetry its high Dice hides. Building on this, we propose a differentiable surface loss that simultaneously suppresses spurious mass and recovers absent structure, validated by fine-tuning three backbones (nnU-Net, SwinUNETR, NexToU) on two public benchmarks (Image-CAS, ASOCA). Against a matched-epoch control, it significantly improves surface F1 by recovering missed distal vessels at comparable Dice. Our findings argue for measuring and optimizing the vessel surface, not the volume it overlaps. Code

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Rafael Velasquez, Esther Puyol-Antón, Pablo Arbeláez. 2026-09-22. Beyond Volume Overlap: Surface Matching for Topology-Aware Coronary Artery Segmentation. https://arxiv.org/abs/2609.31740

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