“…Reverse engineering is the process of analyzing a realworld object or environment in order to collect data on its shape, structure and appearance, so that it can be used later to construct digital 3D models (Akerdad et al, 2021). The worm-type pieces existing in the structure of helical pumps and compressors, are working bodies whose profiles include different shapes, such as circle arcs, straight segments, helical curves, involutescycloids, cycloidal curves or various non-analytical curves (Baroiu, Popa et al, 2017, Teodor et al, 2018, Yan et al, 2017, Baroiu, Berbinschi et al, 2017. Studying the energy efficiency problems of these pumps and compressors involves establishing mathematical models of their profiles, comparing various geometric parameters or using graphical methods that can sometimes be considered difficult or time consuming methods (Dong et al, 2019, Joshi et al, 2020, Malov, 2020.…”