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傅里叶变换轮廓术中频谱泄漏的讨论
引用本文:陈文静,苏显渝,谭松新.傅里叶变换轮廓术中频谱泄漏的讨论[J].光学学报,2000,20(10):1429-1434.
作者姓名:陈文静  苏显渝  谭松新
作者单位:四川大学光电系,成都,610064
基金项目:国家自然科学基金资助项目
摘    要:讨论了频谱泄漏对傅里叶变换轮廓术测量精度的影响。由于用傅里叶变换轮廓术进行三维面形测量时 ,测得的变形光场是空间有限函数 ,故离散傅里叶变换时先要进行周期拓展 ,如果拓展周期选择不当 ,拓展后的条纹将不连续 ,对之进行傅里叶变换会产生频谱泄漏。文章从理论上推导了拓展周期与变形结构光场频谱泄漏之间的关系 ,给出了由泄漏引起的视场边缘误差的计算模型和定量分析。提出采用条纹外插以减小泄漏误差的方法 ,计算机模拟及初步实验证实了该方法的有效性。

关 键 词:离散傅里叶变换  频谱泄漏  傅里叶变换轮廓术
收稿时间:1999/2/2

Discussion on Phase Errors Caused by Frequency Leakage in FTP
Chen Wenjin,Su Xianyu,Tan Songxin.Discussion on Phase Errors Caused by Frequency Leakage in FTP[J].Acta Optica Sinica,2000,20(10):1429-1434.
Authors:Chen Wenjin  Su Xianyu  Tan Songxin
Abstract:The phase error caused by leakage in a 3- D object measurement Fourier transform profilometry (FTP) method is discussed. Because the deformed fringe pattern captured by CCD camera is a function with limited extension in space,itmustbe extended to infinite space before discrete Fourier transform is computed.If the extended period is notintegertimes of the grating period,the smooth fringes can not be obtained through extending. When Fourier transform of the discontinuous fringe is calculated,phase error will occur,which is called leakage error.In this paper,the relationship between extended period and frequency leakage is analyzed,the calculation model of phase errors caused by leakage is proposed,quantitative analysis of phase error is presented. A fringe extrapolation method is put forward to decrease the leakage errors.Computer simulations and primary experiments have confirmed the analysis.
Keywords:discrete Fourier- transform    frequency leakage    Fourier  transform profilometry  
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