无需训练,用多尺度滤波和骨架提取重建肺血管树,精准还原解剖结构。
Spatial Graph Representation and Morphometric Analysis of the Pulmonary Vascular Tree From Computed Tomography Using Multi-Scale Hessian-Based Filter Fusion and TEASAR Skeletonization

- 融合12个尺度的Hessian滤波,检测从主干到微血管的多尺度血管
- 生成的肺血管树分形维数约2.3,符合人体真实特征
- 方法可解释、无须标注数据,适合临床影像定量分析
从计算机断层扫描(CT)图像中重建肺血管树对肺部定量分析、血管形态评估和个体化建模至关重要,但因血管跨越多个尺度(从近端动脉到远端微血管),且临床胸部CT受空间分辨率有限、部分容积效应、图像质量不均及呼吸运动伪影影响,仍具挑战。不同于依赖大量标注数据的深度学习方法,本文提出一种确定性、无需训练、可解释的肺血管树重建流程。该方法通过加权最大响应融合12个尺度(1–8毫米)的Frangi与Sato多尺度Hessian血管增强滤波,有效检测大血管与末梢分支。肺实质通过密度阈值、形态学后处理及Chan-Vese主动轮廓优化分割。血管中心线采用Kimimaro实现的TEASAR算法提取,分别构建左右肺血管图,经修剪与环路验证。几何合理性通过体积分形维数、Strahler阶数分析、Horton比值及Murray定律评估。结果表明,生成的分形维数约为2.3,与文献报道一致;而分支指标残差则反映因有限分辨率导致的远端血管截断现象。证明该可解释管道能生成符合解剖学的肺血管树模型,适用于肺部影像量化、血管形态测量与计算肺建模。
原文摘要 · Abstract (English)
Reconstructing the pulmonary vascular tree from computed tomography (CT) images is essential for quantitative lung analysis, vascular morphology assessment, and patient-specific modeling, yet it remains challenging because vessels span multiple scales, from proximal arteries to distal microvasculature. Clinical chest CT is further affected by limited spatial resolution, partial volume effects, heterogeneous image quality, and respiratory motion artifacts. Unlike deep learning-based pulmonary vessel segmentation methods that require large annotated datasets, we propose a deterministic, training-free, and explainable pipeline for CT-based pulmonary vascular tree reconstruction. The method fuses multiscale Hessian-based Frangi and Sato vesselness filters using a weighted maximum response across 12 spatial scales from 1 to 8 mm, enabling detection of large pulmonary arteries and peripheral branches. Lung parenchyma is segmented by Hounsfield unit thresholding, morphological post-processing, and Chan-Vese active contour refinement. Vascular centerlines are extracted using the Kimimaro implementation of the TEASAR algorithm; separate left- and right-lung vascular graphs are then constructed, pruned, and verified for acyclicity. Geometric plausibility is assessed using volumetric fractal dimension, Strahler order analysis, Horton ratios, and Murray's law. The resulting fractal dimension of approximately 2.3 is consistent with reported values for the human pulmonary vasculature. At the same time, residual deviations in branching metrics reflect distal-vessel truncation caused by finite CT resolution. These results indicate that the proposed explainable pipeline can generate geometrically plausible pulmonary vascular tree models and may support quantitative pulmonary imaging, vascular morphometry, and computational lung modeling.
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