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结构光测量中快速相位解包裹算法的讨论

Fast Phase-unwrapping Algorithms Used for Structural-light Measurement

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摘要

对Schofield等提出的快速傅里叶变换(采用4次傅里叶变换和4次逆傅里叶)解包裹算法和Volkov等提出的相位重建算法(仅采用两次傅里叶变换和一次逆傅里叶变换)进行了讨论,提出基于离散余弦变换的快速相位解包裹算法.指出前两种算法在处理一般带噪音的模拟相位图时具有明显的优势,其处理结果非常接近理想值,而在处理相位变化剧烈或不连续区域的实验相位图(采用四步相移法测量雕刻佛像的三维面形)时出现较大误差,甚至无法处理,而基于离散余弦变换算法能很好的解决这个问题,并且拥有比前两种算法更快的运算速度.在实际应用中,针对不同的相位图把Schofield所提出的算法与基于离散余弦变换的算法结合起来,可以解决大部分相位解包裹问题.

Abstract

Two kinds of fast phase-unwrapping algorithms were studied,namely,Schofield′s 4-FFT algorithm and Volkov′s deterministic 2-FFT algorithm.Then a DCT-based phase-unwrapping algorithm is proposed.The former two algorithms were proved to enjoy an obvious advantage in processing phase maps with much stochastic noise.Their final unwrapped-phase results are very close to the ideal ones.But,there appear some big errors in unwrapping the experimental phase map with large gradient and some inconsistent regions.It is hard for them to achieve a reasonable solution.In this case,the DCT-based algorithm can make up the above disadvantages and is able to achieve a reliable solution even though the experimental phase map is destroyed by sharp variance or discontinuities.and it boasts a little higher computation speed.Therefore,in application,most problems are expected to be solved smoothly by way of Schofield′s 4-FFT algorithm integrated with DCT-based one.

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中图分类号:TH911.74

所属栏目:光学测量

基金项目:国家科技支撑计划(2007BAF29B03)和杭州市科技局产学研项目(20071931E41)资助

收稿日期:2008-06-19

修改稿日期:--

网络出版日期:0001-01-01

作者单位    点击查看

朱勇建:湖南大学 国家高效磨削工程技术研究中心,长沙 410082
李安虎:同济大学 机械工程学院,上海 200092
潘卫清:浙江科技学院 理学院 光电信息技术研究所,杭州 310023
余剑武:湖南大学 国家高效磨削工程技术研究中心,长沙 410082
尹韶辉:湖南大学 国家高效磨削工程技术研究中心,长沙 410082

联系人作者:朱勇建(zhuyongjian_hn@yahoo.com.cn)

备注:ZHU Yong-jianwas born in 1979.Now he is a teacher at Research Institute of Micro-Nano Fabrication,National Engineering Research Center for High Efficiency Grinding,Hunan University.His research interests focus on 3D optical profilometry and phase-shifting interferometry,opto-mechanism etc.

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