大地测量与地球动力学2013，Vol.33Issue(3)：52-55,63,5.
GPS高程转换的总体最小二乘方法研究
RESEARCH ON TOTAL LEAST-SQUARES METHODS FOR TRANSFORMATION OF GPS ELEVATION
摘要
Abstract
Curve surface fitting methods have been extensively utilized for the task of conversion GPS elevation to normal elevation.However,errors of the coordinates of GPS observations maybe propagate into the transformed normal elevation during estimating the curve surface parameters.To analyze the influence of these errors in the observation data on the transformed elevation,we employed three models:the quadratic polynomial curve surface,cubic polynomial curve surface and moving quadratic curve surface,to study the accuracy of the converted normal elevation.Least-Squares and two algorithms:Total Least-Squares and Weighted Total Least-Squares to estimate the parameters of these curve surfaces.The results from numerical experiments confirm that the accuracy of normal elevation have been considerably improved when errors of the coordinates of GPS observations data were modeled during the process of transformation.关键词
总体最小二乘算法/移动二次多项式曲面拟合/正常高/GPS高程/高程转换Key words
total least-squares algorithm/ moving quadratic polynomial curve surface fitting/ normal elevation/ GPS elevation / elevation transformation分类
天文与地球科学引用本文复制引用
丁海勇,孙景领..GPS高程转换的总体最小二乘方法研究[J].大地测量与地球动力学,2013,33(3):52-55,63,5.基金项目
南京信息工程大学校科研基金(90207) （90207）
