Efficient three-dimensional shape measurement: avoiding matrix inversion

Abstract The matrix inversion used to derive the 3D point cloud from the phase is a key factor that limits the reconstruction speed improvement in 3D imaging technique based on phase-shift fringe analysis. To avoid computing matrix inversion, we generate two offline loadable matrices determined solely by the calibration parameters of the triangulation model. Compared with the original method that requires matrix inversion, online computation was accelerated by about 15 times without incurring additional memory overhead. Experimental results demonstrated that the proposed method significantly improves the speed of 3D shape measurement and ensures high accuracy.