多项式拟合模型在GPS水准测量中的应用  

Application of polynomial fitting model to GPS leveling surveying

作　　者：王强[1] 崔希民[1] 张恒璟[2] 杜俊秀 

机构地区：[1]中国矿业大学地球科学与测绘工程学院,北京100083 [2]辽宁工程技术大学测绘学院,辽宁阜新123000

出　　处：《测绘工程》2014年第8期19-22,共4页Engineering of Surveying and Mapping

基　　金：国家自然科学基金资助项目(41071328);地理空间信息工程国家测绘地理信息局重点实验室开放基金课题资助(201324)

摘　　要：围绕高程异常的求算,对GPS水准相关问题进行探讨,研究多项式拟合高程异常函数模型。采用实际数据,对研究区域进行原始坐标直接处理和坐标中心化处理,分析法方程系数矩阵的病态性对拟合参数稳定性的影响;并探究公共点与检核点之间的位置关系对精度的影响规律。最后,将多种拟合模型的精度进行比较,找出适合测区拟合的最优模型。It presents the solution of height anomaly,discusses the problems related to the GPS leveling and studies the functional models of polynomial fitting in height anomaly.By means of some practical data,it makes two kinds of processing for research area：direct processing and centralization to raw coordinate,by analyzing the effect of ill-conditioned of the normal equation＇s coefficient matrix to the stability of the fitting parameters and exploring the influence rule of the relationship in location between common point and checking point to precision.Finally,comparing various fitting model＇s precision,it finds out the optimal fitting model which is suitable for research area.

关 键 词：多项式拟合 GPS水准 中心化 病态性 精度分析 

分 类 号：P228[天文地球—大地测量学与测量工程]