Two-Step Random Phase Shifting Algorithms Based on Fast Least-Squares Method

被引：0
|
作者：
Zhang Y. [1 ,2 ]
机构：
[1] College of Science, Northeast Electric Power University, Jilin
[2] State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Jilin
来源：
Guangxue Xuebao/Acta Optica Sinica | 2021年 / 41卷 / 03期
关键词：
Fast least-squares algorithm; Interferometry; Iterative algorithm; Measurement; Phase shifting algorithm;
D O I：
10.3788/AOS202141.0312003
中图分类号：
学科分类号：
摘要：
To achieve high accuracy with less computational time in the phase shifting interferometry, a series of two-step random phase shifting algorithms based on fast least-squares method are proposed. First, the phases extracted by the sum and difference normalization algorithm with double pre-filtering, the sum and difference normalization algorithm with single pre-filtering, and Gram-Schmidt orthonormalization method are used as the initial values for iteration. Then, the two phase shifted interferograms without filtering are used in the calculation with the least-squares method, and the final phase is obtained. In order to save time, only limited pixels are chosen to take part in the iteration. The comparison indicates that the two-step phase shifting algorithm based on the sum and difference normalization algorithm with single pre-filtering and fast least-squares method has the best comprehensive performance, and it can obtain high accuracy with less time. © 2021, Chinese Lasers Press. All right reserved.
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