arXiv:2511.20501cs.CVcs.LG2025-11被引 1

用物理规律约束血管边界,提升DSA影像分割精度与稳定性。

A Physics-Informed Loss Function for Boundary-Consistent and Robust Artery Segmentation in DSA Sequences

  • 借鉴材料物理中的位错理论,设计基于物理的损失函数
  • 在DIAS和DSCA数据集上显著提升边界一致性和F1分数
  • 适用于多种网络结构,对临床血管疾病分析有实用价值

从数字减影血管造影(DSA)序列中准确提取脑血管对于复杂脑血管疾病的临床管理模型至关重要。传统损失函数仅依赖像素级重叠,忽略血管边界的几何与物理一致性,常导致分割结果碎片化或不稳定。为此,本文提出一种新型物理信息损失(Physics-Informed Loss, PIL),将预测边界与真实边界间的相互作用建模为受材料物理中位错理论启发的弹性过程。该方法引入物理正则化项,强制轮廓平滑演化与结构一致性,使网络更精准捕捉细微血管形态。PIL被集成至U-Net、U-Net++、SegFormer和MedFormer等多种架构,在两个公开数据集DIAS与DSCA上评估。实验表明,PIL consistently 超越交叉熵、Dice、主动轮廓与表面损失等传统方法,在敏感性、F1分数和边界连贯性上均表现更优。结果证实,将物理边界交互机制融入深度神经网络,可显著提升动态血管成像中血管分割的精度与鲁棒性。代码已开源:https://github.com/irfantahir301/Physicsis_loss。

原文摘要 · Abstract (English)

Accurate extraction and segmentation of the cerebral arteries from digital subtraction angiography (DSA) sequences is essential for developing reliable clinical management models of complex cerebrovascular diseases. Conventional loss functions often rely solely on pixel-wise overlap, overlooking the geometric and physical consistency of vascular boundaries, which can lead to fragmented or unstable vessel predictions. To overcome this limitation, we propose a novel \textit{Physics-Informed Loss} (PIL) that models the interaction between the predicted and ground-truth boundaries as an elastic process inspired by dislocation theory in materials physics. This formulation introduces a physics-based regularization term that enforces smooth contour evolution and structural consistency, allowing the network to better capture fine vascular geometry. The proposed loss is integrated into several segmentation architectures, including U-Net, U-Net++, SegFormer, and MedFormer, and evaluated on two public benchmarks: DIAS and DSCA. Experimental results demonstrate that PIL consistently outperforms conventional loss functions such as Cross-Entropy, Dice, Active Contour, and Surface losses, achieving superior sensitivity, F1 score, and boundary coherence. These findings confirm that the incorporation of physics-based boundary interactions into deep neural networks improves both the precision and robustness of vascular segmentation in dynamic angiographic imaging. The implementation of the proposed method is publicly available at https://github.com/irfantahir301/Physicsis_loss.

血管分割物理信息DSA影像损失函数

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