One of the problems with the use of UAVs for high-precision mapping is the inability to install on these devices an accurate stabilization system to determine the angular EEO images, so there is a need to develop methods for accurate location of EEO. To date, there are many developments in the definition of elements of EEO. However, there are a number of issues in their practical implementation. This applies primarily to attempts to improve the accuracy of obtaining the coordinates of the

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... of objects on the ground. Aim. Investigate the possibility of the proposed algorithm for determining the elements of EEO of digital images obtained by aerial surveying from an UAV. Methodology. Based on the condition of collinearity, two types of functions are determined for which the minimum is searched. This process of determining the elements of the EEO is performed using software. A diverse set of programs makes it possible to implement such a search, and a reasonable initial approximation of the EEA and provides a definition of their optimal parameters [Hlotov, 2020; Zavarzin, 2013; Berezina, 2018; Kim Hon Ir, 2017]. Results. The proposed approach was tested on the corresponding digital images obtained by aerial surveying from UAVs at checkpoints, which made it possible to justify the effectiveness of the proposed method. The specified RMSE had the following values: = 0.15 m, = 0.18 m, = 0.40 m. After specifying the steel error = 0.06 m, = 0.03 m, = 0.25 m. The analysis of the unknown results confirms the improvement of the accuracy of coordinate determination by specifying the values of RMS relative to those obtained in the software package Models and the proposed algorithm. Scientific novelty and practical significance. An algorithm has been developed that makes it possible to determine the value of EEO using software without the use of special software for digital image processing. First of all, it makes it possible to improve the accuracy of EEO determination for digital images obtained from UAVs and allows to significantly expand the range of tasks using UAVs.