Estimating the measurement error of the coordinates of markers on images recorded with a stereoscopic system

This paper proposes a method of estimating the error of measuring the coordinates of markers (corners of cells) on images recorded by a stereoscopic system. This problem needs to be solved in order to determine the error of the three-dimensional geometrical measurements made with such systems. At the design stage, the method is applied to segments of an image synthesized on the basis of the aberrational characteristics of the optical system. At the operating stage, the method is supplemented by an estimate of the parameters describing the noise on the recorded images. The efficiency of t he proposed approach is confirmed by computer simulation and experiments. The results of this paper make it possible to connect the design of the optical system and the development of data-processing algorithms into a single procedure when stereoscopic measurement devices are being created, as well as to estimate the errors of three-dimensional geometrical measurements when these devices are being operated. (C) 2020 Optical Society of America