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Free android UTM Geo Map software for planning the geodetic network of the object of study.
The figure shows that the distance between P1 and M1 is 21,648 m, and the elevation is 1 m.

Free android UTM Geo Map software for planning the geodetic network of the object of study. The figure shows that the distance between P1 and M1 is 21,648 m, and the elevation is 1 m.

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The article is devoted to the possibility of using an electronic total station for the construction of a 3D model of an engineering object. For this research was used a monument to Andrey Sheptytsky in Lviv. In work used total station Topcon IS301 with software Image Master. The binding to the international coordinate system is performed by the RTK...

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Citations

... The following devices are used: indicators, autocollimators, theodolites, tape measures, levels, optical quadrants, intrometers, cameras, and ET [Baran, 2012;Vivat et al. 2018]. Recently, laser scanners and robotic electronic total stations have been increasingly used for modeling in 3D space [Trevogo & Balandyuk, 2009;Trevogo, 2016;Vivat & Nazarchuk, 2019]. The use of ET is effectively applied in determining the geometric parameters of engineering structures [Baran, 2012;Vivat et al. 2018], defining the straightness of rotation of large-sized continuous-acting units [Moroz et al. 2011], monitoring hydraulic structures [Staroverov, 2020;Baran, 2011], as well as in examining linear objects in the areas affected by underground mining using ET and ground-based laser scanners [Naminat, 2020]. ...
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In applied geodesy tasks, it may be necessary to determine spatial angles. When bringing a 3D design of buildings and structures to the field with the help of an electronic total station (ES), it is important to verify the spatial angles between different elements of building structures such as roof overlaps, inclined anchors, and more, using the characteristic points' spatial coordinates. Modern geodetic instruments provide sufficiently high measurement accuracy (up to 1" and 1 mm, respectively). However, measuring the required angles with surveying instruments is not always possible for various reasons. First of all, it is impossible to place the device at the vertex of an angle if the location is not accessible. This paper develops a method for determining a spatial angle whose vertex is not available for measurement. Methods and results. To achieve this goal, we consider one of the options for its determination through the application of the cosine theorem with preliminary measurement or calculation of adjacent sides and vertical angles. This article also presents an algorithm for solving the problem with an estimation of the accuracy of establishing the required parameters. The basic formulas for determining the angles of a spatial triangle with an estimate of their accuracy are proposed. The paper studies the influence of the linear measurement values of the lengths of the sides on the values of the angles of a spatial triangle with the corresponding accuracy assessment. In particular, the root mean square errors of angle calculation were determined based on these calculations and mathematical modeling, namely, the ratio of the sides of the triangle. Through indirect measurements of the tower crane boom and roof spire, the spatial angle values were determined. The inclination of the crane boom to the base resulted in α=910.712±51", while the angle of the roof spire was α=150.109±35". Scientific novelty and practical significance. On the basis of the proposed methodology and numerical experiments, spatial angles were determined and their a priori accuracy was analyzed. This confirms the influence of linear measurements of side lengths on the values of spatial angles. The obtained results make it possible to apply the proposed method in engineering and geodetic works using BIM technologies in 3D space. This method can be used in the application software of electronic total station manufacturers to determine spatial angles in space when solving engineering problems.
... Also, to eliminate the error of centering, we proposed to use the method of free station and determine the coordinates of linear-angular measurements. Using the method [Vivat, Nazarchuk, 2019] we calculated the horizontal and vertical angles of fixing 3D-marks to ensure the perpendicularity of the measuring laser. According to research [Fys, 2021], the position of the base marks was planned so that the device installation station was closest to the middle of the bases (Fig. 7a). ...
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