Optimal Selection of the Adjustment Principles for Structured Weighted Total Least Squares Model

被引：0

作者：

Xie, Jian ^{[1
]}

Zhou, Cui ^{[2
]}

Lin, Dongfang ^{[3
]}

Long, Sichun ^{[1
]}

Lai, Xiangen ^{[4
]}

机构：

[1] School of Earth Science and Spatial Information Engineering, Hunan University of Science and Technology, Xiangtan

[2] College of Advanced Interdisciplinary Studies, Central South University of Forestry and Technology, Changsha

[3] National-Local Joint Engineering Laboratory of Geo-spatial Information Technology, Hunan University of Science and Technology, Xiangtan

[4] China Construction Fifth Engineering Bureau Civil Engineering Co. Ltd, Changsha

来源：

Wuhan Daxue Xuebao (Xinxi Kexue Ban)/Geomatics and Information Science of Wuhan University | 2024年 / 49卷 / 12期

关键词：

accuracy evaluation; adjustment principles; Gauss-Helmert model; structured errors-in-variables model; weighted total least squares;

D O I：

10.13203/j.whugis20220745

中图分类号：

学科分类号：

摘要：

Objectives: In the structured errors-in-variables (EIV) model encountered in spatial coordinate transformation, part of the random observations (or their negative values) in the coefficient matrix appear repeatedly in different positions. Whether the repetitions of the random errors should be taken into account and how to deal with the repetitions in the adjustment principle, no consensus has been reached up to now. Methods: A generalized structured EIV model is proposed and a synthetic weight is introduced to describe different adjustment principles. The generalized EIV model is transformed to the Gauss-Helmert model through linear approximation. The solution and its approximate variance are derived. Results: It is verified that the repetitions should not be taken into consideration in the adjustment principle from the aspects of model analysis and numerical simulation. Conclusions: The optimal adjustment principle is confirmed and the approximate formula to calculate the accuracy is proved to be feasible and effective. © 2024 Editorial Department of Geomatics and Information Science of Wuhan University. All rights reserved.

引用

页码：2223 / 2231

页数：8

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