arXiv:2605.25363cs.CV2026-05

用生理规律提升血管分割精度,让模型结果更符合真实血流原理。

MARVEL: Universal Murray's Law-informed Vessel Tree Segmentation and Topology Estimation

论文配图:MARVEL: Universal Murray's Law-informed Vessel Tree Segmentation and Topology Estimation
图 1 · 摘自论文原文
  • 引入基于穆雷定律的物理先验,通过可微正则化约束分支结构。
  • 在8个数据集上实现更高分割精度与拓扑一致性,病理特征保留更好。
  • 适合需要精准血管拓扑的临床研究,如眼底高血压诊断。

血管循环遵循优化物质传输与代谢能耗的基本生物物理规律,可用穆雷定律有效建模。然而,当前深度学习血管分割方法常忽略这些生物物理约束,导致分支结构不自然、树状结构误判,影响血流模拟与疾病量化等下游任务的可靠性。本文提出MARVEL(通用穆雷定律启发的血管树分割与拓扑估计框架),一种无需依赖主干网络的框架,将生物物理先验融入血管树提取。MARVEL结合像素级监督与显式半径预测,通过经验宽度指数映射施加局部分叉约束,并在训练中以可微正则化形式实现。我们在八个公开数据集、多种血管模态和分割主干上评估,结果表明MARVEL在分割精度、拓扑一致性及生理合理性方面均表现更优。通过将分割掩码转换为图结构血流模拟,验证其能准确保留高血压眼底的细微狭窄与连接关系,显著提升眼内动静脉压差对高血压的分类能力(p < 0.001),优于基线模型在拓扑一致性和临床预测价值上的表现。

原文摘要 · Abstract (English)

Vascular circulation follows fundamental biophysical principles that optimize mass transport and metabolic energy expenditure, which can be effectively modeled by Murray's law. However, contemporary deep learning methods for vascular segmentation often neglect these biophysical constraints. This leads to physiologically implausible branching and misclassification vascular trees, rendering. These automated segmentation results are unreliable unreliable for downstream clinical tasks such as blood flow simulation or disease quantification. In this paper, we introduce MARVEL (Universal MurrAy's law-infoRmed Vessel sEgmentation and topoLogy estimation), a backbone-agnostic framework that integrates biophysical priors into vascular tree extraction. MARVEL combines per-pixel supervision with explicit radius predictions to enforce local bifurcation constraints derived from an empirical width-exponent mapping. We implement these constraints as differentiable regularizers during training to guide models toward physiologically consistent reconstructions. We evaluate MARVEL on eight public datasets across multiple vascular modalities and segmentation backbones. Results demonstrate MARVEL's superior performance in segmentation accuracy, topological consistency, and physiological plausibility. By converting segmented masks into graph-based hemodynamic simulations, we demonstrate that MARVEL preserves the subtle pathological narrowing and topological connectivity required to distinguish hypertensive from normotensive eyes. Results show that MARVEL significantly improves the classification of hypertension via arteriovenous pressure differences in the eye (p < 0.001), outperforming baseline models in both topological consistency and clinical predictive value.

血管分割生物物理拓扑一致性高血压诊断

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