Geodesy, Cartography, and Aerial Photography

Vivat, Anatolii; Tserklevych, A. L.; Smirnova, O. M.

doi:10.23939/istcgcap2018.01.021

Cited by 5 publications

(1 citation statement)

References 2 publications

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“…Such studies are of interest to high-precision engineering and geodetic works, where apriori it is necessary to know the possible accuracy of the instrument's coordinates (Vivat et al, 2018) for planning the locations of the installation of an electronic tacheometer or a laser scanner.…”

Section: Introductionmentioning

confidence: 99%

The accuracy investigation of point coordinates’ determination using a fixed basis for high-precision geodesy binding

Litynskyi

Vivat

et al. 2019

Reports on Geodesy and Geoinformatics

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Modern scanners can perform terrestrial topographic survey with resolution of 1 cm and accuracy of 2 mm in just a few minute's time, from the distance of up to 100 meters. However, for surface topographical surveying of large territories or complex industrial objects, it is necessary to conduct geodetic traverses and perform their binding to the points of the geodesic basis. One method of coordinate transferring during surveying is by using the method of inverse linear-angular intersection, which involves the measuring of the respective sides S 1 , S 2 and the β angle between them. This method is more precise than the classical one, which usually contains centring and reduction errors. The linear-angular intersection method can also be used for many applications in engineering geodesy, for laying geodetic traverses, and for binding to the wall based points of ground-surveying.

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Section: Introductionmentioning

confidence: 99%

The accuracy investigation of point coordinates’ determination using a fixed basis for high-precision geodesy binding

Litynskyi

Vivat

et al. 2019

Reports on Geodesy and Geoinformatics

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Geodesy, Cartography and Aerial Photography

Fys¹,

Litynskyi²,

Vivat³

et al. 2021

ISTCGCAP

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The aim. The study of formulas determination of the point coordinates by the inverse linear-angular intersection method. Previously, we investigated the possibility of using electronic total stations to control the geometric parameters of industrial buildings. The applied application of electronic total stations for high-precision measurements has been investigated as well. [Vivat, 2018]. The formula for optimal use of the device with certain accuracy characteristics relative to the measured basis is analytically proved and derived [Litynskyi, 2014]. Measurements on the basis of the II category are performed and theoretical calculations are confirmed. The possibility of achieving high accuracy in determining the segment by the method of linear-angular measurements is shown [Litynsky, 2015]. The influence of the angle value on the accuracy of determining the coordinates by the sine theorem is investigated and the possibility of optimizing the determination of coordinates by the method of inverse linear-angular serif by the formulas of cosines and sines is investigated [Litynskyi, 2019]. Method. Establishing a mathematical interconnection between measured values (distances and angles) with the required (flat coordinates of a point), differentiation and finding the minima of functions. Results.There were five formulas selected, of which six combinations had been created to calculate the increments of coordinates and to estimate their accuracy. Numerical experiments show that neither method has a significant advantage, which is supported by the results presented in the graphs and tables. It is worth noting one feature of the second method - in which it is possible to determine the increments of coordinates with an accuracy that exceeds the accuracy of measuring the sides. The possibility of optimizing the coordinate increments determination due to the choice of calculation formulas is considered. The possibility of increasing the accuracy of determination of the coordinates increments using different calculation formulas is researched. Consequently, it is suggested to optimize the choice of calculation formulas depending on the position of the desired point. The results of these studies can be used to create electronic total station or laser tracker application software in order to improve the accuracy of coordinate determination.

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Geodesy, Cartography and Aerial Photography

Tserklevych¹,

Vivat²,

Zayats³

et al. 2022

ISTCGCAP

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The developments of the scientific and pedagogical staff of the Department of Engineering Geodesy of the Lviv Polytechnic National University in the direction of increasing the accuracy of geodetic measurements in the construction, operation and repair of unique buildings, structures or separate technological equipment, which is particularly important for their safe operation, are considered. Auxiliary equipment (improved light-reflecting mark, device for linear-angular measurements, spherical reflector with a stand, two-prism transducer-vector) has been developed to increase the accuracy of measurements of parameters of engineering structures by electronic total stations. On the basis of theoretical calculations, an optimal image of the geodetic mark for viewing at different distances is proposed, and a three-dimensional holder is developed to compensate for the non-perpendicular error. A technique was developed and implemented in a device for linear-angular measurements, which made it possible to determine the length of segments from 1 to 30 meters with an accuracy of 0.1-0.3 mm. In order to transfer the coordinates of the geodetic base from the reference network to the measurement points of building structures, a spherical reflector and a stand were developed, in the process of using which errors in centering, reduction and height measurement are compensated. The application of the developed spherical reflector was tested during the restoration of the design position of the large-sized equipment of the power complex facility with an accuracy of 0.5 mm. To determine the dimensions of irregularly shaped structures in order to minimize the angles of the prism (to directly determine the coordinates of the prism tip), a two-prism encoder vector was theoretically justified and developed. The accuracy of determining the spatial coordinates by the vector encoder was investigated using the final measure as a reference value. According to the results of research, the deviation of the distances determined with the help of the vector transducer from the reference value is 0.3 mm.

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Geodesy, Cartography, and Aerial Photography

Cited by 5 publications

References 2 publications

The accuracy investigation of point coordinates’ determination using a fixed basis for high-precision geodesy binding

The accuracy investigation of point coordinates’ determination using a fixed basis for high-precision geodesy binding

Geodesy, Cartography and Aerial Photography

Geodesy, Cartography and Aerial Photography

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