Random three-step phase retrieval approach based on difference map Gram–Schmidt orthonormalization and Lissajous ellipse fitting method

To achieve high measurement accuracy with less computational time in phase-shifting interferometry, a random phase retrieval approach based on difference map Gram–Schmidt othonormalization and Lissajous ellipse fitting method (DGS-LEF) is proposed, it easy to implement and only needs three phase shifted interferograms, it doesn't need pre-filtering, moreover, the phase shift can be random except for too small relative phase shift between two adjacent interferograms, last but not least, this method is effective for the symmetrical and asymmetrical fringes. The simulations and experiments verify the correctness and feasibility of DGS-LEF.