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The method of detection and localization of configuration defects in geodetic networks by means of Tikhonov regularization Cover

The method of detection and localization of configuration defects in geodetic networks by means of Tikhonov regularization

By: Roman Kadaj  
Open Access
|Dec 2021

Abstract

In adjusted geodetic networks, cases of local configuration defects (defects in the geometric structure of the network due to missing data or errors in point numbering) can be encountered, which lead to the singularity of the normal equation system in the least-squares procedure. Numbering errors in observation sets cause the computer program to define the network geometry incorrectly. Another cause of a defect may be accidental omission of certain data records, causing local indeterminacy or lowering of local reliability rates in a network. Obviously, the problem of a configuration defect may be easily detectable in networks with a small number of points. However, it becomes a real problem in large networks, where manual checking of all data becomes a very expensive task. The paper presents a new strategy for the detection of configuration defects with the use of the Tikhonov regularization method. The method was implemented in 1992 in the GEONET system (www.geonet.net.pl).

DOI: https://doi.org/10.2478/rgg-2021-0004 | Journal eISSN: 2391-8152 | Journal ISSN: 0867-3179
Language: English
Page range: 19 - 25
Submitted on: Jul 22, 2021
Accepted on: Nov 8, 2021
Published on: Dec 17, 2021
Published by: Warsaw University of Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2021 Roman Kadaj, published by Warsaw University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.