Abstract
We present a powerful phase-shift extraction algorithm for multiple-frame random phase-shifting fringe patterns. The proposed method is based on changing the regularity of the amplitude of a demodulated analytic signal with respect to different phase shifts and a one-dimensional optimization method. Compared with the existing universal phase-reconstruction method, the proposed method is accurate, stable, and efficient. Both numerical simulations and experimental data demonstrate the high accuracy and efficiency of the proposed method.
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