<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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 (<ext-link ext-link-type="uri" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="http://www.geonet.net.pl">www.geonet.net.pl</ext-link>).</p>
</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).

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

Reports on Geodesy and Geoinformatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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...

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

Article Category: Original Article

Published Online: Dec 17, 2021

Page range: 19 - 25

Received: Jul 22, 2021

Accepted: Nov 08, 2021

DOI: https://doi.org/10.2478/rgg-2021-0004

Keywords
Tikhonov regularization, geodetic network, configuration defects, generalized matrix inversion, outliers phenomena

© 2021 Roman Kadaj et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Article Category: Original Article

Published Online: Dec 17, 2021

Page range: 19 - 25

Received: Jul 22, 2021

Accepted: Nov 08, 2021

DOI: https://doi.org/10.2478/rgg-2021-0004

KeywordsTikhonov regularization, geodetic network, configuration defects, generalized matrix inversion, outliers phenomena

© 2021 Roman Kadaj et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Tikhonov regularization, geodetic network, configuration defects, generalized matrix inversion, outliers phenomena