arXiv:2511.02144cs.CVstat.AP2025-11

用主成分分析快速精准测量路面裂缝宽度

Fast Measuring Pavement Crack Width by Cascading Principal Component Analysis

  • 分三步:先分割裂缝,再用PCA定主方向,RPCA处理不规则裂缝
  • 在三个公开数据集上比现有方法更快更准
  • 适合需要快速评估道路状况的工程人员

精确量化路面裂缝宽度对评估结构完整性和指导维护决策至关重要。然而,由于裂缝边界形态复杂且不均匀,传统方法效果受限;同时,需从任意像素位置快速测量以实现全面路况评估。为此,本文提出一种融合主成分分析(PCA)与鲁棒主成分分析(RPCA)的级联框架,实现数字图像中裂缝宽度的高效提取。该方法包含三个阶段:(1)使用已有检测算法进行初始裂缝分割,生成二值化表示;(2)通过PCA确定准平行裂缝的主方向轴;(3)对不规则裂缝几何结构,利用RPCA提取主扩展轴(MPA)。在三个公开数据集上的综合评估表明,该方法在计算效率和测量精度方面均优于现有先进方法。

原文摘要 · Abstract (English)

Accurate quantification of pavement crack width plays a pivotal role in assessing structural integrity and guiding maintenance interventions. However, achieving precise crack width measurements presents significant challenges due to: (1) the complex, non-uniform morphology of crack boundaries, which limits the efficacy of conventional approaches, and (2) the demand for rapid measurement capabilities from arbitrary pixel locations to facilitate comprehensive pavement condition evaluation. To overcome these limitations, this study introduces a cascaded framework integrating Principal Component Analysis (PCA) and Robust PCA (RPCA) for efficient crack width extraction from digital images. The proposed methodology comprises three sequential stages: (1) initial crack segmentation using established detection algorithms to generate a binary representation, (2) determination of the primary orientation axis for quasi-parallel cracks through PCA, and (3) extraction of the Main Propagation Axis (MPA) for irregular crack geometries using RPCA. Comprehensive evaluations were conducted across three publicly available datasets, demonstrating that the proposed approach achieves superior performance in both computational efficiency and measurement accuracy compared to existing state-of-the-art techniques.

裂缝检测主成分分析道路评估

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