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Surveying adjustment datum and relative deformation accuracy analysis

Chen, Guoliang; Meng, Xiaolin; Yao, Lianbi

Authors

Guoliang Chen

Xiaolin Meng xiaolin.meng@nottingham.ac.uk

Lianbi Yao



Abstract

In the surveying adjustment, unknown parameters are usually not direct observations, but the elements related to these direct observations. In order to determine the unknown parameters adequate known data should be provided, and these necessarily required known data are used to form the adjustment datum. Under different datums, different results will be obtained even with the same direct observations. However, in the practical adjustment calculation, the datum and its effect on the results are always ignored. In this paper, the adjustment datum is firstly discussed and defined as datum equations. Then an adjustment method based on the datum equations and least squares is presented. This method is a generic one, not only suited for the case in an ordinary datum but also in the gravity centre datum or a quasi-datum, and can be easily used to analyse different deformations. Based on this method, the transformation between different reference frames is derived. It shows that the calculation results, deformation and positioning accuracy under one kind of datum are relative and generic. A case study is further introduced and used to test this new method. Based on the case study, the conclusions are reached. It is found that the relative positional root mean square error of each point becomes bigger as the distance between the point and the datum increases, and the relative deformation offsets under different kinds of datum are helpful for reliable deformation analysis.

Journal Article Type Article
Journal Survey Review
Print ISSN 0039-6265
Electronic ISSN 1752-2706
Publisher Taylor & Francis
Peer Reviewed Peer Reviewed
Volume 46
Issue 339
APA6 Citation Chen, G., Meng, X., & Yao, L. (in press). Surveying adjustment datum and relative deformation accuracy analysis. Survey Review, 46(339), doi:10.1179/1752270614Y.0000000124
DOI https://doi.org/10.1179/1752270614Y.0000000124
Keywords Surveying adjustment, Datum equations, Relative position error, Relative deformation
Publisher URL http://www.tandfonline.com/doi/full/10.1179/1752270614Y.0000000124#.V5XloqKAe5o
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information This is an Accepted Manuscript of an article published by Taylor & Francis in Survey Review on 12 Aug 2014, available online: http://www.tandfonline..../1752270614Y.0000000124

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf



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