Evaluating the accuracy of determining the points’ position by free stationing method

Abstract

The accuracy of determining the points’ position through the free stationing method is estimated. At performing alignment work, surveying facades, executive surveys, and geodetic monitoring of buildings and structures, the method of free stationing with an electronic total station installed in any suitable place and determining its position by serif, and then using the polar method, defi ning the coordinates of the determined point is considered. The accuracy assessment is identifi ed using the formulas of calculating the mean square error for the direct and reverse angular serifs, as well as for linear ones. The authors propose algorithms of accuracy evaluation for the located point positions with non-fi xed stationing method based on the parametric adjustment, and searching ones, at the same time the algorithms shall provide adjustment by considering or ignoring the errors in the input data. To determine the mean square error of the standing point’s position and the determined points according to the results of adjustment by the free stationing method, fi eld experimental studies were carried out. Numerical examples of accuracy evaluation are provided. The compliance of the adjustment results and root-mean-square errors will mean the validity of the proposed algorithms and accuracy of the performed survey.