引用本文: 张继贤, 段敏燕, 林祥国, 臧艺. 激光雷达点云电力线三维重建模型的对比与分析[J]. 武汉大学学报 ( 信息科学版), 2017, 42(11): 1565-1572.
ZHANG Jixian, DUAN Minyan, LIN Xiangguo, ZANG Yi. Comparison and Analysis of Models for 3D Power Line Reconstruction Using LiDAR Point Cloud[J]. Geomatics and Information Science of Wuhan University, 2017, 42(11): 1565-1572.
 Citation: ZHANG Jixian, DUAN Minyan, LIN Xiangguo, ZANG Yi. Comparison and Analysis of Models for 3D Power Line Reconstruction Using LiDAR Point Cloud[J]. Geomatics and Information Science of Wuhan University, 2017, 42(11): 1565-1572.

## Comparison and Analysis of Models for 3D Power Line Reconstruction Using LiDAR Point Cloud

• 摘要: 电力线三维重建是直升机激光雷达（light detection and ranging，LiDAR）电力巡线的一项重要内容。提出了两种基于直升机LiDAR点云的电力线三维重建模型，包括直线段与悬链线段相结合的模型（简称为"模型一"）、直线段与抛物线段相结合的模型（简称为"模型二"）。其中，直线段位于xy平面，悬链线段和抛物线段位于过直线段的铅垂面。模型的创新之处在于两者均使用了电力线LiDAR点水平坐标进一步投影到xy平面上相应的拟合直线产生的比例因子作为悬链线、抛物线方程的参数。使用6个有代表性的实验数据、4个评价指标对6种重建模型（已有的4种和上述提出的两种）的性能进行评价和对比。实验结果表明，模型二具有最高的重建效率和最高的重建精度。另外，实验结果进一步说明铅垂面及铅垂面上投影模型的选择、误差因素的考虑等3个因素对重建模型性能有着显著影响。

Abstract: 3D power line reconstruction is one motivation for power line patrols using LiDAR systems mounted on helicopters. Two new models for 3D power line reconstruction are proposed. The first model combines a line segment and a catenary, while the second model is a combination of a line segment and a parabola. In both models, the line segment is located in the xy-plane, and the catenary or the parabola is on a vertical plane through the line segment. The two proposed models are innovative in that a scalar factor was employed as the parameter for the catenary and the parabola. The scalar factor is calculated by projecting a 2D point on the xy-plane onto a fitted line by the 2D points. Specifically, a 2D point is constructed by projecting a 3D LiDAR point on the xy-plane. Six experimental data sets and four criterion were used to test the six methods for 3D power line reconstruction. These experiments suggest that he second model has the highest efficiency and reconstruction accuracy. Moreover, three factors, including the selection of the vertical plane, selection of the projected models in the vertical plane, and consideration of the errors, have significant influences on the performance of the methods for 3D power line reconstructions.

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