单幅条纹图相位解调的小波分析方法

杨初平; 翁嘉文; 李海; 谭穗妍

doi:doi:10.3788/gzxb20124110.1211

光子学报, 2012, 41 (10): 1211, 网络出版: 2012-11-07

单幅条纹图相位解调的小波分析方法

Phase Demodulation Using a Single Deformed Fringe Pattern by Wavelet Analysis

论文大纲

杨初平 ^*翁嘉文李海谭穗妍

作者单位

华南农业大学理学院应用物理系, 广州 510642

摘要

相位解调是条纹相位分析的关键问题.本文提出一种应用小波频率估计联合频率导数对变形条纹进行瞬时频率分析,从中提取参考基频, 从而依靠单一变形条纹实现相位解调的方法.首先, 理论上证明了当变形条纹瞬时频率空间导数等于零, 该空间点的瞬时频率等于参考基频频率; 其次, 引入Gabor小波提取变形条纹的瞬时频率空间分布, 利用变形条纹瞬时频率的空间导数分布识别提取参考基频, 从而实现相位解调.利用该方法进行了三维形貌测量的实验, 结果表明该方法在实现相位解调中效果良好.

Abstract

To realize phase demodulation using a single deformed fringe pattern in 3D fringe sensing, a method is proposed. In the method, instantaneous frequency estimation of wavelet transform is applied to the deformed fringe pattern, and derivative frequency is used to directly extract the fundamental spectrum of the original fringe pattern from the instantaneous spectrum of its deformed fringe pattern. Firstly, theoretical analysis shows that if the instantaneous frequency at a certain position of the deformed fringe pattern is equal to the fundamental frequency of its original fringe pattern, the derivative frequency at such position is zero. Secondly, the instantaneous spectrum of the deformed fringe pattern is experimentally estimated by Gabor wavelet transform. Finally, the fundamental spectrum of the original fringe pattern is identified and obtained from the above instantaneous spectrum. It means that a single deformed fringe pattern is enough to realize phase demodulation. Experimental results of 3D shape measurement show the good effect of the proposed method in phase modulation.

参考文献

[1] TAKETA M, MUTOH K. Fourier transform profilometry for the automatic measurement of 3-D object shapes［J］. Applied Optics, 1983, 22(24): 3977-3982.

[2] 刘大海,林斌. 利用强度调制消除零频的傅里叶变换轮廓测量［J］. 光子学报, 2011, 40(11): 1697-1701.

LIU Da-hai; LIN Bin. Fourier transform profilometry using zero frequency elimination based on gray modulation［J］. Acta Photonica Sinica, 2011, 40(11): 1697-1701.

[3] 杨初平; 翁嘉文; 王健伟. 基于载频条纹相位分析的畸变测量和校正［J］. 光子学报, 2010, 39(2):317-319.

YANG Chu-ping; WENG Jia-wen; WANG Jian-wei. Distortion measurement and calibration technique based on phase analysis for carrier-fringe pattern［J］. Acta Photonica Sinica, 2010, 39(2): 317-319.

[4] XUE Lian, SU Xian-yu. Phase-unwraping algorithm based frequency analysis for measurement of a complex object by the phase measuring profolometry method［J］. Applied Optics, 2001, 40(8): 1207-1215.

[5] TAO Xian, SU Xian-yu. Area modulation grating for sinusoidal structure illumination on phase measuring profilometry［J］. Applied Optics, 2001, 40(8): 1201-1206.

[6] ZHENG Rui-hua, WANG Yu-xiao, ZHANG Xue-ru, et al. Two-dimensional phase-measuring profilometry［J］. Applied Optics, 2005, 44(6): 954-958.

[7] YANG Fu-jun HE Xiao-yuan. Two-step phase-shifting fringe projection profilometry: intensity derivative approach［J］. Applied Optics, 2007, 46(29): 7172-7178.

[8] HAO Yu-ding, ZHAO Yang, LI Da-sheng. Multifrequency grating projection profilometry based on the nonlinear excess fraction method［J］. Applied Optics, 1999, 38(19): 4106-4110.

[9] QIN Ke-mao, WANG Hai-xia, GAO Wen-jing. Windowed Fourier transform for fringe pattern analysis: theoretical analyses［J］. Applied Optics, 2008, 47(29): 5408-5419.

[10] ZHONG Jin-gang, WENG Jia-wen. Phase retrieval of optical fringe patterns from the ridge of a wavelet transform［J］. Optics Letters , 2005, 30(19): 2560-2562.

[11] QUAN Chen-gen, TAY Cho-Jui, CHEN Lu-jie. Fringe-density estimation by continuous wavelet transform［J］. Applied Optics, 2005, 44(12): 2359-2365.

[12] UPPUTURI Paul Kumar, NANDIGMA Krishna Mohan, MAHENDA Prasad Kothiyal. Time average vibration fringe analysis using Hilbert transformation［J］. Applied Optics, 2010, 49(30): 5777-5786.

[13] XIONG Liu-dong, JIA Shu-hai. Phase-error analysis and elimination for nonsinusoidal waveforms in Hilbert transform digital-fringe projection profilometry［J］. Optics Letters, 2009, 34(15): 2363-2365.

[14] LI Si-kun, SU Xian-yu, CHEN Wen-jing. Wavelet ridge techniques in optical fringe pattern analysis［J］. Journal of Optical Society of America A, 2010, 27(6): 1245-1254.

[15] ABID A Z, GDEISAT M A, BURDON D R, et al. Spatial fringe pattern analysis using the two-dimensional continuous wavelet transform employing a cost function［J］. Applied Optics, 2007, 46(24): 6120-6126.

[16] GDEISAT M A, BURDON D R, LALOR M J. Spatial carrier fringe pattern demodulation by use of a two-dimensional continuous wavelet transform［J］. Applied Optics, 2006, 45(34): 8722-8732.

[17] 杨初平, 翁嘉文.基准光栅重构傅里叶变换轮廓术［J］. 光学学报, 2008, 28(7):1287-1290.

YANG Chu-ping, WENG Jia-wen. Fourier transform profilometry by original fringe reconstruction from deformed fringe pattern［J］. Acta Optica Sinica, 2008, 28(7): 1287-1290.

[18] 杨初平, 翁嘉文, 赵静,等. 从变形条纹提取基准光栅信息［J］.光学学报, 2009, 29(11): 3078-3041.

YANG Chu-ping, WENG Jia-wen, ZHAO Jing, et al. Extract original fringe information from deformed fringe pattern［J］. Acta Optica Sinica, 2009, 29(11): 3078-3041.

[19] 翁嘉文, 钟金钢. 离散栅格Gabor小波变换的尺度参量取值方法［J］. 中国图象图形学报, 2006, 11(9):1266-1270.

WENG Jia-wen, ZHONG Jin-gang. Scale value decision method for discrete grid gabor wavelet transform［J］. Journal of Image and Graphics, 2006, 11(9): 1266-1270.

杨初平, 翁嘉文, 李海, 谭穗妍. 单幅条纹图相位解调的小波分析方法[J]. 光子学报, 2012, 41(10): 1211. YANG Chu-ping, WENG Jia-wen, LI Hai, TAN Sui-yan. Phase Demodulation Using a Single Deformed Fringe Pattern by Wavelet Analysis[J]. ACTA PHOTONICA SINICA, 2012, 41(10): 1211.

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