Deformation analysis with Total Least Squares
By Mustafa Acar, M. Özlüdemir, O. Akyılmaz, R. Çelik, Tevfik Ayan. 2006
49 citations recorded by the source corpus.
Deformation analysis is one of the main research fields in geodesy. Deformation analysis process comprises measurement and analysis phases. Measurements can be collected using several techniques. The output of the eval- uation of the measurements is mainly point positions. In the deformation analysis phase, the coordinate changes in the point positions are investigated. Several models or ap- proaches can be employed for the analysis. One approach is based on a Helmert or similarity coordinate transforma- tion where the displacements and the respective covariance matrix are transformed into a unique datum. Traditionally a Least Squares (LS) technique is used for the transforma- tion procedure. Another approach that could be introduced as an alternative methodology is the Total Least Squares (TLS) that is considerably a new approach in geodetic applications. In this study, in order to determine point displacements, 3-D coordinate transformations based on the Helmert transforma- tion model were carried out individually by the Least Squares (LS) and the Total Least Squares (TLS), respectively. The data used in this study was collected by GPS technique in a landslide area located nearby Istanbul. The results obtained from these two approaches have been compared.
Subfields: Applied Mathematics, Artificial Intelligence, Oceanography
View Paper: https://www.semanticscholar.org/paper/6f58c6d63dcf2c2523b4aa55701f4d649312ec1c
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In Applied Mathematics
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Citations in the corpus
- A total least squares solution for geodetic datum transformations (2014, methodology): “Acar et al. (2006) introduced a TLS solution into the deformation problem with small rotation angles and ignored the structure of the coefficient matrix. Recently, Felus and Burtch (2009) derived an elegant algorithm which bases the equivalency between the orthogonal transformation solutions of the ”