Accuracy assessment of external orientation elements for digital images obtained from UAVS using derivatives of implicitly specified functions

Abstract

The purpose of investigation is to develop an algorithm for determining the a priori accuracy assessment of the external orientation angle elements of digital images obtained from UAVs. Formulas for estimating the accuracy of external orientation elements are determined by the derivatives of many variables functions, which are the solutions of linear equations systems. These systems are obtained by differentiating the equations of relation of parameters and the input data. The working formulas were obtained, which allow to determine the a priori estimation of the accuracy of the angle elements using derivatives of implicitly specified functions, and the proposed algorithm was tested on a control example, the results of which confirmed the correctness of the calculations. These formulas allow to make a priori estimation of accuracy of external orientation elements with elimination of errors which arise using the classical method of estimating the accuracy using reverse photogrammetric intersection for a single image. The calculation of the a priori accuracy estimation by the proposed method will allow to determine the coordinates of the points on the terrain more precisely.