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Calculation of local quasigeoid models from heterogeneous data
Kratochvíl, Richard ; Kostelecký,, Jakub (referee) ; Weigel, Josef (referee) ; Kratochvíl,, Vlastimil (referee) ; Machotka, Radovan (advisor)
The goal of this thesis was to evaluate whether it is possible to replace gravimetric data with topographic ones for calculating quasigeoid models using astrogeodetic levelling. Gravimetric data are not of sufficient quality in selected areas, hence their replacement can increase the accuracy of obtained models. The computational program PRVAK was created. It facilitates the calculation of the quasigeoid model by astrogeodetic levelling, the models can be calculated on a profile or in an area by least square adjustment of conditional observations from astrogeodetic deflections of the vertical or their combination with topographic ones. Furthermore, the Dolní Morava network was built, with astrogeodetic deflections of the vertical determined at 34 points. The data comparisons were tested at three localities, where quasigeoid models were calculated by astrogeodetic and astrotopographic levelling and compared with reference data. On the profile Velká Bíteš – Brno – Uherské Hradiště, the calculated models were compared with the gravimetric model calculated by Research Institute of Geodesy, Cartography and Topography. The standard deviation of the differences between the reference model and the models calculated in this work was reduced using astrotopographic levelling by approximately 38 % compared to astrogeodetic levelling. For area models of quasigeoid in the localities of Dolní Morava and Brno, it was possible to compare the internal accuracy of these models. When using astrotopographic levelling, values of standard deviation of height anomalies were reduced by 40 % in Dolní Morava locality and 25 % in Brno locality compared to astrogeodetic levelling. In both localities, the quasigeoid QGZÚ-2013 was chosen as a reference model for comparison of external accuracy. The contribution of astrogeodetic levelling to the improvement of external accuracy could not be demonstrated because the calculated models of quasigeoid have similar accuracy as the reference model.
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