摘要
针对GPS测量噪声影响高程拟合精度的问题,本文详细阐述了最小二乘方法、总体最小二乘算法和加权总体最小二乘算法三种误差处理方法的基本原理及计算公式。根据常用的两种曲面拟合模型,通过对实测数据拟合结果分析GPS测量噪声对高程拟合精度的影响,并对比上述三种算法的结果。数值计算结果表明在顾及GPS测量噪声的情况下,总体最小二乘算法能够很好地削弱其对高程拟合的影响,从而提高拟合精度。
Aim at the problem that GPS observation noise affects height fitting precision,the basic principle and calculation formula of three error processing methods are described in detail:least-squares,total least-squares and weighted total least-squares.According to commonly used surface fitting models,the influence of GPS observation noise on altitude fitting precision is analyzed by using the calculation of measured data and the results of the above three processing methods are compared.The numerical results show that the total least-squares can reduce the influence of GPS observation noise and improve the accuracy of fitting results.
作者
崔立鲁
杜艺婕
江雪梨
袁梼
杜石
CUI Lilu;DU Yijie;JIANG Xueli;YUAN Tao;DU Shi(School of Architecture and Civil Engineering,Chengdu University,Chengdu Sichuan 610106,China;School of Geodesy and Geomatics,Wuhan University,Wuhan Hubei 430079,China)
出处
《北京测绘》
2019年第2期144-147,共4页
Beijing Surveying and Mapping
基金
地球空间环境与大地测量教育部重点实验室测绘基础研究基金(16-01-04)
关键词
总体最小二乘
高程拟合
测量噪声
曲面拟合
total least-squares
elevation transformation
measurement noise
curved surface fitting
作者简介
崔立鲁(1983-),男,四川宜宾人,博士,讲师,从事测量数据处理研究。E-mail:lilucui@126.com。
