Calibration refinement for a fringe projection profilometry system based on plane homography

Abstract This paper presents a calibration parameters refinement specifically for a fringe projection profilometry system to assure the final accuracy, even when using an imperfect calibration target. Unlike existing camera-projector calibration methods, we arrange a refinement in subsequent process of target measurement. Following the trend of additionally estimating the target’s geometry, a novel formulation is presented that allows point reconstruction from the infinity homography, thereby introducing the target geometry from the scene. The final objective function is built on the reprojection error and implemented under an equality constraint of the fundamental matrix. In our approach, the fundamental matrix is estimated from the reliable feature correspondences exclusively provided by the structured light system. Experiments are conducted on both synthetic and real datasets to evaluate the performance of our proposed approach.