光子学报, 2019, 48 (4): 0415001, 网络出版: 2019-04-28   

一种基于背景校正的2+1相移算法

2+1 Phase-shifting Algorithm Based on Background Correction
作者单位
四川大学 电子信息学院, 成都 610065
摘要
由于投影仪与相机普遍存在的伽马非线性效应, 变形条纹图直流项与背景图光强分布并不相等, 会引入测量误差.本文在传统2+1相移算法中引入背景校正, 以所捕获的背景图光强分布为模板, 采用最小二乘原理逼近变形条纹图的直流项, 能有效提高测量精度.所提2+1相移算法中两帧相移正弦光栅的相移量不再固定为π/2, 可任意, 算法更灵活.实验结果验证了该算法的有效性和实用性.
Abstract
Due to the gamma nonlinear effects of the projectors and cameras, the Direct Current(DC) component of the deformed fringe pattern and the intensity distribution of background image are not equal, so measurement errors are introduced. This paper introduces a background image correction method in the traditional 2+1 phase-shifting algorithm. The intensity distribution of the captured background image is used as a template, and the DC component of the deformed fringe pattern is approximated by the least squares principle, which can effectively improve the measurement accuracy. And the phase shift of the 2 phase-shifting sinusoidal gratings is no longer fixed to be π/2 in the new 2+1 phase-shifting algorithm, the algorithm is more flexible. The experimental results verify the effectiveness and practicability of the algorithm.

李东林, 曹益平. 一种基于背景校正的2+1相移算法[J]. 光子学报, 2019, 48(4): 0415001. LI Dong-lin, CAO Yi-ping. 2+1 Phase-shifting Algorithm Based on Background Correction[J]. ACTA PHOTONICA SINICA, 2019, 48(4): 0415001.

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