Efficient phase extraction from three random interferograms based on Lissajous figure and ellipse fitting method

Hebing Lei; Yong Yao; Haopeng Liu; Yanfu Yang

doi:10.1117/12.2281177

24 October 2017 Efficient phase extraction from three random interferograms based on Lissajous figure and ellipse fitting method

Hebing Lei, Yong Yao, Haopeng Liu, Yanfu Yang

Author Affiliations +

Proceedings Volume 10458, AOPC 2017: 3D Measurement Technology for Intelligent Manufacturing; 1045803 (2017) https://doi.org/10.1117/12.2281177
Event: Applied Optics and Photonics China (AOPC2017), 2017, Beijing, China

Abstract

To deal with both of the fluctuation of background intensity and the random phase shift error, this paper present an efficient and rapid phase extraction algorithm. The parametric equations of Lissajous ellipse are derived by subtraction operations on three random interferograms. Then the elliptic parameters are calculated by ellipse fitting, which is used for phase extraction. It is unnecessary for the algorithm to calculate the random phase shift value and remove the background term, which reduces the algorithm’s complexity and shortens the processing time. The effectiveness and reliability of the algorithm are verified by both the numerical simulations and the experiment. The results shows that the algorithm is robust to the fluctuation of background intensity and modulation amplitude.

Citation Download Citation

Hebing Lei, Yong Yao, Haopeng Liu, and Yanfu Yang "Efficient phase extraction from three random interferograms based on Lissajous figure and ellipse fitting method", Proc. SPIE 10458, AOPC 2017: 3D Measurement Technology for Intelligent Manufacturing, 1045803 (24 October 2017); https://doi.org/10.1117/12.2281177

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