兼顾位置分布及测量精度的坐标转换公共点优选方法  

An optimization method for selecting common points considering position distribution and measuring precision in coordinate transformation

作　　者：刘忠贺 李宗春[1] 何华 LIU Zhonghe;LI Zongchun;HE Hua(Institute of Geospatial Information,Information Engineering University,Zhengzhou 450001,China)

机构地区：[1]信息工程大学地理空间信息学院,河南郑州450001

出　　处：《光学精密工程》2024年第24期3632-3643,共12页Optics and Precision Engineering

基　　金：大型加速器工程精密三维控制网建立技术研究(No.41974216)。

摘　　要：坐标转换质量受公共点位置分布及测量精度等多因素影响。为提升坐标转换效果,设计了一种兼顾位置分布和测量精度的公共点优选方法。首先,利用抗差估计方法处理数据,剔除粗差;然后,将剩余同名点重心化,按象限分组,计算同名点在所属象限中轴线上的投影长度并排序,选择各象限投影长度较大的部分点作为待采样点集;其次,遍历待采样点集,从每组点集中抽取至少一个同名点,获取多个组合,计算每个组合的误差方程系数矩阵条件数及坐标转换的内符合精度;最后,取部分条件数较小组合中内符合精度最高的组合作为最优组合。通过仿真试验与实例分析验证方法性能,结果表明,同文献[24]、[28]相比,所提方法内外符合精度更优,坐标转换质量更高,具有稳健性。The quality of coordinate transformation is influenced by geometric position distribution and measurement errors of common points.In order to improve the effectiveness of coordinate transformation,a method for selecting common points that takes into account position distribution and measurement preci⁃sion is designed.Firstly,robust estimation method is adopted to process the data and eliminate gross er⁃rors.Secondly,centroid the remaining homonymous points,divide them into multiple sets of points based on different quadrants,calculate the projection length of the homonymous points on the central axis of their respective quadrants,and sort them.Proportionally select the points with larger projection lengths in the point sets as the points to be sampled.Thirdly,traverse the set of points to be sampled and extract homon⁃ymous points,calculate the conversion precision and coefficient matrix condition number of each group of points.Finally,take the combination with the highest internal compliance accuracy among the smaller number of conditions as the common points.The performance of the method is verified by simulation ex⁃periments and case analysis.The results show that compared with references[24]and[28],the proposed method has better compliance accuracy in both internal and external.The quality of coordinate transforma⁃tion of this method is higher,and it has robustness.

关 键 词：坐标转换 公共点 抗差估计 象限 重心化 

分 类 号：P258[天文地球—测绘科学与技术]