Improved Total Least Square Algorithm

Deng Yonghe*, 1, 2, 3
1 College of Engineering and designing, Lishui College, Lishui, Zhejiang, 323000, P.R. China
2 School of Geodesy and Geomatics,Wuhan University,Wuhan, 430079, P.R. China
3 School of Continuous Education,Wuhan University,Wuhan, 430079, P.R. China

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© 2015 Deng Yonghe;

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

* Address correspondence to this author at the College of Engineering and Designing, Lishui College, Lishui, Zhejiang, 323000, P.R. China; Tel: +86 18969588403; E-mails:,


Aim to blemish of total least square algorithm based on error equation of virtual observation,this paper proposed a sort of improved algorithm which doesn’t neglect condition equation of virtual observation,and considers both error equation and condition equation of virtual observation.So,the improved algorithm is better.Finally,this paper has fitted a straight line in three-dimensional space based on the improved algorithm.The result showed that the improved algorithm is viable and valid.

Keywords: total least square, error equation, condition equationtest, virtual observation, mean square error of unit weight.

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