Theoretical and experimental study on a new reconstruction model based on geometric optics for a single-lens biprism-based stereovision system

Abstract

In the present work, we report a stereovision system with one single camera. The configuration has only one single camera in front of which a biprism is placed. A new mathematical model based on optical geometrical optics is proposed for a single-lens biprism-based (SLBB) stereovision system in this paper. The path of each ray in three-dimensional (3D) space is tracked precisely, and the intersection of the rays is determined by an optimization method. Under the assumption of pinhole imaging, the 3D coordinate of the measuring point can be obtained through this model. Further, the model has been examined and verified by experiment. The experimental results show that the mathematical model can effectively measure the depth of the measuring points and the relative distance between measuring points. The deviation between the reconstruction results of the measuring point and the real 3D coordinate shows a certain regularity with the changing of the distance between the measuring point and the camera.