arXiv:2507.18135cs.CVcs.IT2025-07

用信息熵量化睑板腺萎缩的扭曲度,区分螨虫阳性与阴性患者。

Information Entropy-Based Framework for Quantifying Tortuosity in Meibomian Gland Uneven Atrophy

论文配图:Information Entropy-Based Framework for Quantifying Tortuosity in Meibomian Gland Uneven Atrophy
图 1 · 摘自论文原文
  • 基于信息熵和曲线域变换,比较目标曲线与生物合理参考曲线的扭曲度。
  • 在螨虫阳性组中扭曲度均匀性显著更低,准确率0.8768,特异性达0.93。
  • 适合有生物学参考曲线的医学图像分析,尤其适用于睑板腺疾病诊断。

在医学图像分析中,精确量化曲线扭曲度对多种疾病的辅助诊断和病理评估至关重要。本文提出一种基于信息熵的扭曲度量化新框架,并以睑板腺萎缩均匀性评估作为代表性应用场景进行验证。该框架融合概率建模与熵理论,结合曲线数据的域变换,通过将目标曲线与指定参考曲线对比来评估扭曲度,克服了传统方法(如曲率或弧弦比)依赖理想直线比较的局限性。在生物合理参考曲线存在的医学数据中,该方法更具鲁棒性和客观性。首先通过数值模拟实验验证了方法的稳定性与有效性;随后应用于睑板腺萎缩空间均匀性的量化分析,比较了螨虫阴性与阳性患者的差异。结果显示两组间基于扭曲度的均匀性存在显著差异,曲线下面积为0.8768,敏感度0.75,特异性0.93。研究证明该框架在曲线扭曲度分析中的临床价值,具备作为通用定量形态学评估工具的潜力。

原文摘要 · Abstract (English)

In the medical image analysis field, precise quantification of curve tortuosity plays a critical role in the auxiliary diagnosis and pathological assessment of various diseases. In this study, we propose a novel framework for tortuosity quantification and demonstrate its effectiveness through the evaluation of meibomian gland atrophy uniformity,serving as a representative application scenario. We introduce an information entropy-based tortuosity quantification framework that integrates probability modeling with entropy theory and incorporates domain transformation of curve data. Unlike traditional methods such as curvature or arc-chord ratio, this approach evaluates the tortuosity of a target curve by comparing it to a designated reference curve. Consequently, it is more suitable for tortuosity assessment tasks in medical data where biologically plausible reference curves are available, providing a more robust and objective evaluation metric without relying on idealized straight-line comparisons. First, we conducted numerical simulation experiments to preliminarily assess the stability and validity of the method. Subsequently, the framework was applied to quantify the spatial uniformity of meibomian gland atrophy and to analyze the difference in this uniformity between \textit{Demodex}-negative and \textit{Demodex}-positive patient groups. The results demonstrated a significant difference in tortuosity-based uniformity between the two groups, with an area under the curve of 0.8768, sensitivity of 0.75, and specificity of 0.93. These findings highlight the clinical utility of the proposed framework in curve tortuosity analysis and its potential as a generalizable tool for quantitative morphological evaluation in medical diagnostics.

医学图像信息熵睑板腺定量分析

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