Estimation of the error in 3D control of products with complex geometric profiles using the method of multi-view phase triangulation

Kutateladze Institute of thermophysics SB RAS, 1, Lavrenteva, Novosibrsk, Russia

^* Corresponding author: dv.s@mail.ru

Published online: 17 February 2025

Abstract

The analysis of achievable measurement errors of threedimensional geometry was performed during the implementation of the phase triangulation method in a multi-view setup. The essence of the method lies in measuring a stationary object from different perspectives using one or multiple measurement systems, and then merging the measured point clouds into a single closed three-dimensional model. The main focus was on measuring convex objects, as the phase triangulation method predominantly operates with convex objects. The limitation arises from the fact that for complex-profile objects with arbitrary geometry, "dead" zones will inevitably be present, which cannot be measured using methods based on phase-based triangulation with spatially modulated illumination. The primary attention in the study was directed towards elongated objects, as they are challenging to measure from a single viewpoint, and multi-view methods of phase triangulation enable measurements with virtually no fundamental limitations on the geometric dimensions of the object being measured. Mathematical modeling was conducted in the study to assess measurement errors when merging point clouds into a unified coordinate system. The obtained results demonstrated the potential use of multi-view phase triangulation methods even in industrial conditions for measuring elongated objects with complex three-dimensional geometry and arbitrary light-scattering properties.