Abstract
Robust M-estimation is very useful in the geometric deformation analysis of geodetic control networks, especially in the analysis of single-point displacements in these networks. In fact, a robust M-estimation allows one to identify the datum that resists individual displaced points. This paper describes and tests two competing methods for displacement analysis based on robust M-estimation. Both methods accept relative and absolute control networks. The first method is the classical robust method, in which the displacement vector is determined from differences in adjusted coordinates. The second method is a new and alternative robust method, in which the displacement vector is determined from differences in unadjusted observations. The proposed method was conventionally called Generalized Robust Estimation of Deformation from Observation Differences. Classical and proposed robust methods were tested on the basis of the simulated two-epoch observations of the absolute control network of the Montsalvens Dam in Switzerland (which is well known in the literature) and on the basis of Monte Carlo simulations. The test results showed that the proposed robust method, in some cases, might be more efficacious than the classical robust method, especially when low values of displacements that slightly exceed measurement errors are expected. Moreover, this paper showed that the proposed robust method might also be more broadly applied than the classical robust method.
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Acknowledgments
The author thanks the editor and anonymous reviewers for their time, effort, and helpful comments. This research is supported by the project “RIM WiM—Regionalna Inwestycja w Młodych Naukowców Warmii i Mazur—wzrost potencjału wdrożeniowego wyników prac doktorantów” cofinanced by the European Union through the European Social Fund.
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Published In
Journal of Surveying Engineering
Volume 141 • Issue 4 • November 2015
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Nov 14, 2013
Accepted: Dec 22, 2014
Published online: May 7, 2015
Discussion open until: Oct 7, 2015
Published in print: Nov 1, 2015
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