Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

The Effect of Critical Distance in Digital Levelling

Version 1 : Received: 5 February 2024 / Approved: 6 February 2024 / Online: 6 February 2024 (13:34:15 CET)

How to cite: Izvoltova, J.; Chromčák, J.; Bačová, D. The Effect of Critical Distance in Digital Levelling. Preprints 2024, 2024020338. https://doi.org/10.20944/preprints202402.0338.v1 Izvoltova, J.; Chromčák, J.; Bačová, D. The Effect of Critical Distance in Digital Levelling. Preprints 2024, 2024020338. https://doi.org/10.20944/preprints202402.0338.v1

Abstract

Critical distance concerns precise digital levelling, which has inaccurate results at a certain sighting distance. The influence of critical distance on a measured height difference has been confirmed by calibrating certain digital levels and their appropriate code devices on a vertical comparator under laboratory conditions. The paper describes the research based on experimental measurements done to find the influence of critical distance on height differences obtained by precise digital levels of Leica NA3003 and DNA03. The processing of the measurement results consisted of de-fining a random error on a station by using parameter estimation of an error model to specify a partial error on a station dependent on sighting distance and then the processing phase continues with the finding the relation between sighting distance and dispersion of height differences ac-quired by digital levelling under terrain conditions. The theoretical part involves the development of levelling accuracy theories that vary over time by view on random and systematic error propagation. The numerical and graphical solution of the experimental measurements involves ordering the height differences into sighting groups according to the sighting distances and the computed standard deviations, which represent a measure of height differences dispersion. The suspicious sighting groups are highlighted in the table and compared with theoretical data pro-vided by authors of calibrating the same digital levels

Keywords

precise levelling; sighting distance; error model; computation

Subject

Engineering, Other

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