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一种基于高斯-牛顿法的光电经纬仪交会测量算法
引用本文:吕帅华,苏秀琴,张占鹏,向静波. 一种基于高斯-牛顿法的光电经纬仪交会测量算法[J]. 光电工程, 2006, 33(11): 22-25
作者姓名:吕帅华  苏秀琴  张占鹏  向静波
作者单位:中国科学院,西安光学精密机械研究所,陕西,西安,710068;中国科学院研究生院,北京,100039;中国科学院,西安光学精密机械研究所,陕西,西安,710068
摘    要:针对靶场光电测量中使用的双站交会方法需要切换交会公式、交会精度不高的问题,提出了一种在直角发射坐标系中,基于高斯-牛顿法的多站交会方法。通过仿真试验将其与传统双站交会方法进行比较,证明了这种多站交会方法具有良好的收敛性和较高的交会精度。

关 键 词:光电经纬仪  交会测量  高斯-牛顿法  海森矩阵
文章编号:1003-501X(2006)11-0022-04
收稿时间:2006-06-27
修稿时间:2006-10-10

Algorithm of opto-electronic theodolite intersection based on Gauss-Newton method
L Shuai-hua,SU Xiu-qin,ZHANG Zhan-peng,XIANG Jing-bo. Algorithm of opto-electronic theodolite intersection based on Gauss-Newton method[J]. Opto-Electronic Engineering, 2006, 33(11): 22-25
Authors:L Shuai-hua  SU Xiu-qin  ZHANG Zhan-peng  XIANG Jing-bo
Affiliation:L(U) Shuai-hua,SU Xiu-qin,ZHANG Zhan-peng,XIANG Jing-bo
Abstract:In the typical shooting range measuring system,there are 3 or 4 theodolites placed on different spots to do tracking and measuring. But when we do intersection,only 2 of them are used by Two Station Intersection(TSI),which causes data wasting and low data processing accuracy. This article proposes a new method named Multiple Station Intersection (MSI) to solve that problem. MSI supposes that all the theodolites have equal importance in intersection,and MSI gets the Hesse Matrix of the intersection equation,then MSI do Gauss-Newton iteration and get the accurate intersection result. In simulation experiment,we do both TSI and MSI with the same group of data. Experiment results show that MSI have excellent convergence and accuracy.
Keywords:Opto-electronic theodolites  Intersection  Gauss -Newton method  Hesse Matrix
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