WANG Ji-wu1, YU Peng-fei1, LUO Hai-bao1, YU Pei-long2
（1. School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, China；2. Gansu Dahua Construction Engineering Co., Ltd, Lanzhou 730030, China）
Abstract： For the linear crack skeleton of railway bridges with irregular strike, it is difficult to accurately express the crack contour feature by using a single smoothing fitting algorithm. In order to improve the measurement accuracy, a polynomial curve fitting was proposed, which used the calibration point of crack contour as the boundary point, and then put them all together to produce a continuous contour curve to achieve the crack length measurement. The method was tested by measuring the linar cracks with different shapes. It is shown that this proposed algorithm can not only solve the jagged problem generated in the crack skeleton extraction process, but also improve the crack length measurement accuracy. The relative deviation is less than 0.15, and the measurement accuracy is over 98.05%, which provides a more effective means for the crack length measurement in railway bridges.
Key words： crack skeleton; length measurement; calibration point; polynomial fitting; railway bridge
CLD number： TP207 doi： 10.3969/j.issn.1674-8042.2020.02.003
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一种基于标定点拟合的铁路桥梁线性裂缝长度测量方法
王纪武1， 鱼鹏飞1， 罗海保1， 鱼沛龙2
（1. 北京交通大学 机械与电子控制工程学院, 北京 100044； 2. 甘肃大华建筑工程有限公司， 甘肃 兰州 730030）
摘 要： 针对走向不规则的铁路桥梁线性裂缝骨架， 采用单一光滑处理的拟合算法很难精确表达裂缝轮廓特征。 提出一种多项式曲线拟合方法， 以裂缝轮廓标定点为边界点进行分段， 然后再进行叠加来产生一条连续的轮廓曲线， 进而实现裂缝长度的测量。 通过对比不同形状的线性裂缝测量实验表明： 所提算法不仅能有效消除裂缝骨架提取过程中产生的锯齿问题， 而且该拟合曲线能够真实表达被测表面的轮廓特征， 拟合相对偏差不超过0.15， 测量精度达到98.05%, 为铁路桥梁裂缝长度测量提供了一种新的测量方法。
关键词： 裂缝骨架； 长度测量； 标定点； 多项式拟合； 铁路桥梁
引用格式： WANG Ji-wu, YU Peng-fei, LUO Hai-bao, et al. A linear crack length measurement method for railway bridges based on calibration points fitting. Journal of Measurement Science and Instrumentation, 2020, 11（2）： 118-125. ［doi： 10.3969／j.issn.1674-8042.2020.02.003］
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