Evaluating the accuracy of determining coordinates of a corner of a building measured in the RTN GNSS mode, having applied the innovative algorithm of vector translation

Robert Krzyżek

Abstract


The study evaluates the accuracy of determining coordinates of a corner of a building measured in the RTN GNSS mode (Real Time Network Global Navigation Satellite System) using the method of line-line intersection and having applied the algorithm of vector translation, developed by the author. The performed analysis of accuracy proved a high precision in determining the points subjected to studies. An important factor in the formation of a mean error regarding the position of the corner of a building, having used the algorithm of vector translation, is the assumption of correctness of the reference points, i.e. the so-called base points, determined in the RTN GNSS mode. In this case, the base points take the role of measurement control points. The mean error of the position of the corner of a building, taking into account the innovative solution, is at the level of several centimeters. The study results presented in the article allow to positively evaluate the algorithm of vector translation in terms of accuracy of determining the position of a corner of a building, measured in real time.


Keywords


RTN GNSS; vector translation; measurement of building structures; innovative algorithm

Full Text:

pdf

References


Bakuła, M. (2013). Study of Reliable Rapid and Ultrarapid Static GNSS Surveying for Determination of the Coordinates of Control Points in Obstructed Conditions. Journal of Surveying Engineering,139(4), pp. 188-193. DOI: 10.1061/(ASCE)SU.1943-5428.0000109

Dae Hee, W., Eunsung, L., Moonbeom, H., Sangkyung, S., Jiyun L., & Young Jae L. (2014). GNSS integration with vision-based navigation for low GNSS visibility conditions. GPS Solution, 18(2), pp. 177-187. DOI: 10.1007/s10291-013-0318-8

Figurski, M., Bogusz, J., Bosy, J., Kontny, B., Krankowski, A., & Wielgosz, P. (2011). ASG+: project for improving Polish multifunctional precise satellite positioning system. Reports on Geodesy, 2(91), pp. 51-57

Gunter W, Hein. (2000). From GPS and GLONASS via EGNOS to Galileo – Positioning and Navigation in the Third Millennium. GPS Solutions, 3(4), pp. 39-47. DOI: 10.1007/PL00012814

Krzyżek, R. (2014a). Reliability analysis of the results of RTN GNSS surveys of building structures using indirect methods of measurement. Geodesy and Cartography, 63(2), pp. 161-181. DOI: 10.2478/geocart-2014-0012

Krzyżek, R. (2015a). Algorithm for modeling coordinates of corners of buildings determined with RTN GNSS technology using vector translation method. Artificial Satellites Journal of Planetary Geodesy, 50(3), pp. 115-125. DOI: 10.1515/arsa-2015-0009

Krzyżek, R. (2015b). Mathematical analysis of the algorithms used in modernized methods of building measurements with RTN GNSS technology. Boletim de Ciências Geodésicas, 21(4), pp. 848-866

Krzyżek, R.(2015c). Modernization of the method of line-line intersection using RTN GNSS technology for determining the position of corners of buildings. Artificial Satellites Journal of Planetary Geodesy, 50(1), pp. 41-57.DOI: 10.1515/arsa-2015-0004

Kyungho, Y., Sangkyung, S., Eunsung, L., Sanguk, L., Jaehoon, K., Ho-Jin, L., & Young Jae L. (2009). Availability assessment of GPS augmentation system using geostationary satellite and QZSS in Seoul Urban Area. Transactions of the Japan Society for Aeronautical and Space Sciences, 52(177), pp. 152-158. doi.org./102322/tjsass.52.152

MIA.(2011). Regulation of Minister of Interior and Administration - in case of technical standards of performing detailed surveys and working out and sending results of these surveys to National Geodetic and Cartographic Database (in Polish). Journal of Laws 263 (entry 1572), Warsaw: Government Legislation Centre.

Pelc-Mieczkowska, R. (2012). Analysis of GPS/RTK positioning reliability in hard observational conditions. Zeszyty Naukowe Politechniki Rzeszowskiej, 59(1/II), pp. 217-226

Pirti, A., Yucel, M.,& Gumus, K. (2013). Testing Real Time Kinematics GNSS (GPS and GPS/GLONASS) methods in obstructed and unobstructed sites. Geodetski Vestnik, 57(3), pp. 498-512. DOI: 10.15292/geodetski-vestnik.2013.03.498-512.

Wajda, S., Oruba, A.,& Leończyk, M. (2008). Technical details of establishing reference station network ASG-EUPOS. Paper presented at the Geoinformation Challenges, GIS Polonia 2008 Conference Proceedings, University of Silesia, Sosnowiec.

Xingxing, L., Maorong, G., Xiaolei, D., Xiaodong, R., Mathias, F., Jens, W., & Harald, S. (2015). Accuracy and reliability of multi-GNSS real-time precise positioning: GPS, GLONASS, BeiDou, and Galileo. Journal of Geodesy, 89(6), pp. 607-635. DOI: 10.1007/s00190-015-0802-8.




DOI: http://dx.doi.org/10.1515/rgg-2017-0002

Refbacks

  • There are currently no refbacks.

Comments on this article

View all comments


Copyright © Reports on Geodesy and Geoinformatics 2014-2017, e-mail: reports.geodesy@gmail.com
eISSN: 2391-8152