光学精密工程2024，Vol.32Issue(24)：3632-3643,12.DOI:10.37188/OPE.20243224.3632
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
摘要
Abstract
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Key words
coordinate transformation/common point/robust estimation/quadrant/centralization分类
天文与地球科学引用本文复制引用
刘忠贺,李宗春,何华..兼顾位置分布及测量精度的坐标转换公共点优选方法[J].光学精密工程,2024,32(24):3632-3643,12.基金项目
大型加速器工程精密三维控制网建立技术研究(No.41974216) （No.41974216）
