On the estimation of accuracy and stability of 3D face modeling using a pair of stereo cameras

The study deals with the problem of estimating the accuracy and stability of 3D face models obtained by a stereo pair. The problem of the conditionality of the fundamental matrix, which is a mathematical stereo pair model, is considered. We prove that small changes of stereo camera parameters result in small changes in the solution of the problem of reconstructing three-dimensional coordinates. Several types of three-dimensional reconstruction optimization problems that are based on quality criteria are formulated. The paper also considers the issues of determining an object orientation in a three-dimensional space by position lines. A 3D image coding system utilizing invariant moments is proposed and the theoretical sensitivity of 3D invariants to geometric distortions is investigated. These results are used to obtain scaling invariants. Designing and studying such models is the important step to solve the analysis problem and determine the proximity of images, which is therefore necessary for their clustering and recognition. Copyright © 2018 for the individual papers by the papers’ authors.