非标准相移轮廓术的最优条纹频率分配  

Optimal fringe frequency allocation for non-standard phase-shifting profilometry

作　　者：季怡心 张龙祥 仵苇 王建华 JI Yi-xin;ZHANG Long-xiang;WU Wei;WANG Jian-hua(School of Information and Control Engineering,Qingdao University of Technology,Qingdao 266520,China)

机构地区：[1]青岛理工大学信息与控制工程学院,山东青岛266520

出　　处：《中国光学(中英文)》2025年第2期245-255,共11页Chinese Optics

基　　金：山东省自然科学基金项目(No.ZR2021MF024)。

摘　　要：在相移轮廓术中,非标准相移轮廓术结合时域相位展开算法仅需较少的条纹图案就可进行测量,因而具备较高的测量效率。鉴于条纹频率对测量精度有显著影响,本文分析了非标准相移轮廓术的时域相位展开中的相位误差,并进一步评估其可靠性。研究发现,相位展开的可靠性与条纹频率分配密切相关。据此,本文引入了一种最优条纹频率分配策略。基于该策略,本文对非标准相移轮廓术的不同频率组合进行了对比实验。实验结果显示,相比于3f_(h1)+2f_(h2)+2f_(h3)外差法的非最优频率组合,本文提出的频率组合的平均错误率降低了62.96%;相比于2f_(h)+2f_(m)+3f_(l)分层法的非最优频率组合,本文提出的频率组合的平均错误率降低了49.23%。In phase-shifting profilometry,the non-standard phase-shifting profilometry combined with the temporal phase unwrapping algorithm requires fewer fringe patterns,thereby achieving higher measurement efficiency.Since fringe frequency significantly affects measurement accuracy,we analyze phase errors in the temporal phase unwrapping of the non-standard phase-shifting profilometry and further evaluates its reliability.It was found that the reliability of phase unwrapping is closely related to the allocation of fringe frequencies.Consequently,we propose an optimal fringe frequency allocation strategy.Based on this strategy,we conduct comparative experiments on different frequency combinations of non-standard phase-shifting profilometry.Then the experimental results show that compared with the non-optimal frequency combinations of the 3f_(h1)+2f_(h2)+2f_(h3)heterodyne algorithm,the average error rate of the frequency combination proposed in this paper is reduced by 62.96%;compared with the non-optimal frequency combinations of the 2_(fh)+2_(fm)+3_(fl)hierarchical algorithm,the average error rate of the frequency combination proposed in this paper is reduced by 49.23%.

关 键 词：非标准相移轮廓术 时域相位展开 相位展开可靠性 最优条纹频率分配 

分 类 号：TP394.1[自动化与计算机技术—计算机应用技术] TH691.9[自动化与计算机技术—计算机科学与技术]