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同时考虑公共点新老坐标误差的三维坐标转换模型

王阿昊 王解先 陈俊平

全球定位系统2016,Vol.41Issue(5):61-65,5.
全球定位系统2016,Vol.41Issue(5):61-65,5.DOI:10.13442/j.gnss.1008-9268.2016.05.012

同时考虑公共点新老坐标误差的三维坐标转换模型

Three-Dimensional Coordinate Transformation Model by Simultaneously Considering Both Pre-and Post-transforming Coordinate’s Error on Common Sites

王阿昊 1王解先 2陈俊平1

作者信息

  • 1. 同济大学 测绘与地理信息学院,上海 200092
  • 2. 中国科学院上海天文台,上海 200030
  • 折叠

摘要

Abstract

Traditional three-dimensional coordinate transformation method,estimates seven transformation parameters,namely the translate,rotation and scale parameter,using conventional least square estimator.It considers only the coordinate error of the common sites in the transformed coordinate system.In fact,station coordinates in both coordinate systems may have errors,and the mis-modelling of such error may lead to bigger uncertainty of the estimated parameters.This paper considers the station coordinates error of the com-mon sites in both systems,and applies the conditional adjustment model for parameter esti-mation.A local GPS network is used to test the new model.The magnitude distribution his-togram of the coordinate transformation residuals shows that the residuals from the new model is more concentrated around zero,and its distribution area is significantly smaller than that of the traditional model.Also,the mean square error of unit weight of the new model is about 1/3 to 2/3 in the order of the traditional model.

关键词

坐标转换/七参数/间接平差/附有参数的条件平差/残差/验后单位权中误差

Key words

Coordinate transformation/seven parameters/parameter adjustment/condi-tion adjustment with parameters/residual/mean square error of unit weight

分类

天文与地球科学

引用本文复制引用

王阿昊,王解先,陈俊平..同时考虑公共点新老坐标误差的三维坐标转换模型[J].全球定位系统,2016,41(5):61-65,5.

全球定位系统

OACSCD

1008-9268

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