Open AccessRapid and precise phase retrieval from two-frame tilt-shift based on Lissajous ellipse fitting and ellipse standardization
Author(s) -
Yanping Fu,
Qianchao Wu,
Yong Yao,
Yang Gan,
Chuyan Liu,
Yanfu Yang,
Jiajun Tian,
Ke Xu
Publication year - 2020
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.384627
Subject(s) - ellipse , lissajous curve , optics , tilt (camera) , phase (matter) , computer science , noise (video) , physics , algorithm , artificial intelligence , geometry , mathematics , quantum mechanics , image (mathematics)
A rapid and precise phase-retrieval method based on Lissajous ellipse fitting and ellipse standardization is demonstrated. It only requires two interferograms without pre-filtering, which reduces its complexity and shortens the processing time. The elliptic coefficients obtained by ellipse fitting are used for ellipse standardization. After compensating phase-shift errors by ellipse standardization, the phase distribution is extracted with high precision. It is suitable for fluctuation, noise, tilt-shift, simple and complex fringes. This method is effective for the number of fringes less than 1. The reliability of the method is verified by simulations and experiments, indicating high accuracy and less time consumption.