Further study of the phase-recovering algorithm for saturated fringe patterns with a larger saturation coefficient in the projection grating phase-shifting profilometry

The phase error will occur when captured fringe patterns are saturated in the projection grating phase-shifting profilometry. The phase-recovering algorithm corresponding to seven-frame phase-shifting method is deduced. The applicability ranges of phase-recovering algorithms corresponding to different phase-shifting methods are studied with different intensity saturation coefficients by a simulative method. Simulative results indicate that the phase error caused by the intensity saturation can be effectively decreased by the phase-recovering algorithm when the saturation coefficient of fringe patterns is within the applicability range of the corresponding phase-recovering algorithm. Furthermore, the applicability range of the phase-recovering algorithm will be extended with the increase of phase-shifting steps. An experimental result is presented to prove the availability of the phase-recovering algorithm.