一种可以同步结合时间相位展开的2+1相移算法  

A 2+1 Phase-Shifting Algorithm With Simultaneous Temporal Phase Unwrapping

作　　者：韩子栋 曹益平[1] HAN Zi-dong;CAO Yi-ping(College of Electronic Information,Sichuan University,Chengdu 610065,China)

机构地区：[1]四川大学电子信息学院,四川成都610065

出　　处：《光学与光电技术》2022年第2期32-39,共8页Optics & Optoelectronic Technology

基　　金：国家科技重大专项(2009ZX02204-008)资助项目。

摘　　要：传统的2+1相移算法在抑制运动误差方面具有良好的性能。针对在展开传统2+1相移算法的截断相位时常有相位展开错误的问题,提出了一种可同步结合时间相位展开的2+1相移算法。该算法中,在传统2+1相移算法的基础上增加了一帧低频辅助正弦光栅条纹,然后结合希尔伯特变换计算出该低频变形条纹的截断相位,之后利用几何约束法对该截断相位进行相位展开,最后利用上述的展开相位指导2+1算法中截断相位的展开。实验结果表明,该算法能够成功地恢复出具有大尺寸深度和复杂面形物体的相位信息,同时,具有较高的测量精度和较快的测量速度。A 2+1 phase-shifting algorithm with temporal phase unwrapping is proposed in this paper. Traditional 2+1 phaseshifting algorithm plays a good performance in terms of suppressing errors introduced by motion. In order to simultaneously realize temporal phase unwrapping,only one additional auxiliary sinusoidal grating with lower frequency is needed,then the geometric constraints are used to unwrap phase of the lower frequency deformed pattern by combining Hilbert transform to guide unwrapping the phase of 2+1 algorithm. The experimental results show that the proposed algorithm can successfully recover phase information of objects with large-scale depth and intricate surfaces with higher measuring accuracy and higher measuring speed.

关 键 词：三维测量 2+1相移算法 时间相位展开 希尔伯特变换 多频光栅 测量精度 

分 类 号：O438[机械工程—光学工程]