GPS水准点优化选择法  

Optimal Choice of GPS Leveling Points

作　　者：沈云中[1] 高达凯[1] 张兴福[1] 

机构地区：[1]同济大学,上海200092

出　　处：《工程勘察》2004年第6期49-51,共3页Geotechnical Investigation & Surveying

摘　　要：水准联测点的选择对GPS高程拟合结果有显著影响 ,本文探讨了水准联测点的优化选择问题 ,着重研究了以拟合误差最小为目标函数的水准联测点优化方法。给出了选择GPS水准联测点的两种方法 ,其一是在所有n个GPS点中选择m个联测点的全组合方案 ,计算其拟合误差 ,选择误差最小的联测方案 ;其二是剔除法 ,即从n个GPS点中逐个剔除对精度贡献最小的水准联测点 ,一直剔到剩下m点为止。两个算例的结果表明 :两种方法得到的GPS水准点是一致的 ,且确实获得了最小的拟合误差。The distribution of GPS level points will significantly influence the accuracy of GPS height interpolation. This paper probes into the optimal choice of GPS level points, especially in the criteria of minimizing interpolation error. Two methods for selecting the GPS leveling points are given here. The first method is to compute the interpolation error of total combination scheme for choosing m level points for n GPS points, and the scheme with minimum interpolation is taken as the optimal scheme. The second method is to eliminate GPS point that has the least contribution to the interpolation accuracy, and the GPS points will be eliminated according to this rule until remnant points number equal to m, which are selected as GPS level points. The results of the both cases show that the two methods get the same answer, and the minimum interpolation error can be realized.

关 键 词：GPS水准 联测 测点 GPS高程拟合 精度 目标函数 算例 方案 优化选择 优化方法 

分 类 号：TU991.36[建筑科学—市政工程] P228.4[天文地球—大地测量学与测量工程]