Compressive phase-shifting fringe projection profilometry for accelerating 3D metrology

Phase-shifting fringe projection profilometry (PSFPP) has emerged as an indispensable optical metrology technique for capturing the profiles of three-dimensional (3D) objects with high accuracy and low cost. However, the measurement speed of the existing PSFPP techniques is constrained by the frame rate of the cameras used, which limits its ability to capture high-speed 3D scenes. To address this limitation, we develop a novel compressive phase-shifting fringe projection profilometry (CPSFPP) technique, to our knowledge, that improves the imaging speed of conventional PSFPP by incorporating a compressive sensing (CS) method. By compressively sampling distorted fringe images with varying phase shifts in a single shot and subsequently recovering these images through CS-based image reconstruction algorithm, CPSFPP increases the 3D measurement speed by multi-fold. To demonstrate the high-speed imaging capabilities of CPSFPP, we experimentally record the dynamic evolutions of translational, rotational, and deformed 3D objects, achieving a threefold improvement in measurement speed. CPSFPP offers a versatile tool for high-speed 3D metrology, greatly enhancing the observation capabilities of dynamic 3D scenes and promoting applications in related fields.