"A convenient 3D reconstruction model based on coaxial structure-light system," (2020)

J. Zhang, B. Luo, X. Su, L. Li, B. Li, S. Zhang, and Y. Wang,  "A convenient 3D reconstruction model based on coaxial structure-light system," Optics and Lasers in Engineering, 138, 106366 (2021)

Abstract

Conventional high-accuracy three-dimensional (3D) reconstruction methods usually involve complicated and time- consuming system calibration. This Letter presents a novel and simple 3D reconstruction model based on a coaxial structure-light system (CSLS). Compared to traditional structured light system, the proposed system contains a perspective projection unit and a telecentric imaging unit. Instead of obtaining the complicated structure-light system parameters, the proposed model only requires the retrieval of a product matrix which could be easily calibrated by using an ordinary white plane. For an arbitrary point A on the object surface, it is mathematically proved that the product matrix of its phase map and height distribution is proportional to the distance between A and projector optical center in XY plane, and independent of the depth in Z direction. Experiments were carried out to measure a step- height object and a cylindrical surface, and the results verify that the proposed method can achieve high-accuracy 3D shape measurement.