Error estimation of the multi-angle phase triangulation method for measuring the three-dimensional geometry of convex and extended objects

The work describes the estimation of the error of the multi-angle phase triangulation method for measuring the three-dimensional geometry of convex and extended objects. Theoretical estimates of the measurement error are made and the results of mathematical modeling are presented. It is shown that if the measurement error by the phase triangulation method has normal distribution, the results of stitching a three-dimensional surface will also have a normal distribution with similar characteristics.The multi-angle phase triangulation method for measuring the three-dimensional geometry of convex and extended objects provides the necessary level of measurement accuracy and can be used to obtain the three-dimensional geometry of complex-shaped convex and extended objects in industrial conditions.