激光与光电子学进展, 2015, 52 (8): 082801, 网络出版: 2015-07-29
利用点云误差椭球评价点云精度 
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Using the Point Cloud Error Ellipsoid to Evaluate the Precision of Point Cloud
摘要
将误差椭球引入到点云精度分析中,重点分析了误差椭球与点位协方差的关系.通过分析不同缩放因子对应的误差椭球中的点位概率,得到用于描述点位误差椭球的缩放因子.分析了相邻误差椭球与扫描间隔之间的关系,确定了相邻误差椭球存在交集的条件.在误差椭球之间存在交集的情况下,计算了真实的点云误差椭球大小,根据点云误差椭球得到平均点位误差椭球,利用误差椭球与点位中误差的关系便可实现平均点位中误差的计算,从而实现了利用误差椭球来评价点云精度.
Abstract
The error ellipsoid is introduced into the evaluation of point cloud precision analysis.The relationship between error ellipsoid and point covariance is studied emphatically.The scale factor used to describe point error ellipsoid is acquired according to the point probability of error ellipsoid corresponding to the different scale factors.The overlap of adjacent error ellipsoid is determined according to the relationship between the adjacent error ellipsoid and the scanning interval.The point cloud error ellipsoid is calculated in the case of intersection between the error ellipsoid.The average point error ellipsoid is acquired according to the point cloud error ellipsoid.The average point mean square error is calculated by using the relationship between error ellipsoid and point mean square error.The evaluation of point cloud precision is realized according to the error ellipsoid.
陈西江, 花向红, 章光. 利用点云误差椭球评价点云精度[J]. 激光与光电子学进展, 2015, 52(8): 082801. Chen Xijiang, Hua Xianghong, Zhang Guang. Using the Point Cloud Error Ellipsoid to Evaluate the Precision of Point Cloud[J]. Laser & Optoelectronics Progress, 2015, 52(8): 082801.
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