基于加权整体最小二乘的飞机水平测量坐标转换精度分析  

Accuracy Analysis of Coordinate Transformation in Aircraft Leveling Measurement Based on Weighted Total Least Squares

作　　者：崔伟 朱永国[1] 万远 Cui Wei;Zhu Yong-guo;Wan Yuan(School of Aviation Manufacturing and Mechanical Engineering,Nanchang Hangkong University,Nanchang 330063,China;Jiangxi GuoKe Defence Group Co.,Ltd.,Nanchang 330000,China)

机构地区：[1]南昌航空大学航空制造与机械工程学院,江西南昌330063 [2]江西国科军工集团股份有限公司,江西南昌330000

出　　处：《科学与信息化》2025年第7期57-60,63,共5页Technology and Information

摘　　要：针对坐标转换精度在工程中的实际意义,提出了加权整体最小二乘法算法作为求解坐标转换参数的一种方法,即给观测矩阵和系数矩阵赋予合适的权重。本文基于参数求解的加权整体最小二乘法,分别用实例分析了六参数模型、布尔沙沃尔夫模型和四参数模型的坐标转换精度,以期进一步提高精度。结果表明,基于加权整体最小二乘法求解的六参数模型能以更高的精度转换水平测量坐标。In view of the practical significance of coordinate transformation precision in engineering,this paper proposes the Weighted Total Least Squares(WTLS)algorithm as a method for solving coordinate transformation parameters,that is,assigning appropriate weights to the observation matrix and the coefficient matrix.Based on the WTLS method for parameter solution,this paper analyzes the coordinate transformation precision of the six-parameter model,the Bursa-Wolf model,and the four-parameter model through examples,in order to further improve the precision.The results show that the six-parameter model solved by the WTLS method can transform the horizontal measurement coordinates with higher precision.

关 键 词：飞机水平测量坐标转换 加权整体最小二乘 转换模型 转换精度 

分 类 号：P224.1[天文地球—大地测量学与测量工程]