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：李东林 曹益平[1] LI Dong-lin;CAO Yi-ping(College of Electronics & Information Engineering,Sichuan University,Chengdu 610065,China)

机构地区：[1]四川大学电子信息学院,成都610065

出　　处：《光子学报》2019年第4期214-220,共7页Acta Photonica Sinica

基　　金：国家高技术研究发展计划(No.2007AA01Z333);国家科技重大专项(No.2009ZX02204-008)~~

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.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 beπ/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.

关 键 词：光学三维测量 相位测量轮廓术 相移算法 背景校正 伽马效应 

分 类 号：TB96[机械工程—光学工程]