基于格莱姆-施密特正交化两步相移轮廓术

周灿林; 司书春; 高成勇; 徐建强; 雷振坤

doi:doi:10.3969/j.issn.1003-501x.2013.06.007

光电工程, 2013, 40 (6): 37, 网络出版: 2013-08-05

基于格莱姆-施密特正交化两步相移轮廓术

Two-step Phase-shifting Profilometry Based on Gram-Schmidt Orthonormalization

论文大纲

周灿林 ^1,*司书春 ¹高成勇 ¹徐建强 ¹雷振坤 ²

作者单位

¹ 山东大学物理学院, 济南 250100

² 大连理工大学工程力学系, 辽宁大连 116024

摘要

将格莱姆 -施密特正交化法引入投影栅形貌测量, 提出了一种新的两步相移轮廓术。首先将 2幅随机相移正弦条纹通过 DLP投影仪投射到待测物体上, 由 CCD相机采集受物体形貌调制的变形光栅条纹图, 再选择合适大小窗口经像素逐点均值法消除变形栅线图中的背景成分, 然后对消背景栅线图进行格莱姆 -施密特正交化, 得到 2幅消背景相移栅线图对应的正交基, 由正交基解调出相位数据。最后对面膜样品进行了实际测量, 并与其它方法进行了比较分析, 实验结果证明了该方法的有效性。

Abstract

A novel two-step phase-shifting profilometry is proposed after the Gram–Schmidt (GS) orthonormalization is introduced into three-dimensional (3D) shape measurement. Firstly, two phase-shifted randomly sinusoidal fringe patterns are projected onto the tested object by Digital-light-processing (DLP) projector. The fringe patterns modulated with theobject’s surface are captured by a CCD camera. Secondly, the background component is eliminated from deformed gratings by averaging method pixel by pixel after the appropriate window size is adopted. Thirdly, an orthonormalized fringe basis is determined from the two fringe patterns using the GS method. Then, the phase is demodulated from the fringe basis. Finally, we have tested the proposed method with real measurement of the human mask. Our algorithm is compared with the other methods. The experimental results are given, which demonstrate the validity of our method.

参考文献

[1] Zhang S. Recent progresses on real-time 3-D shape measurement using digital fringe projection techniques [J]. Opt. Laser Eng(S0143-8166), 2010, 48: 149-158.

[2] DA Feipeng, HUANG Hao. A novel color fringe projection based Fourier transform 3D shape measurement method [J]. Optik(S0030-4026), 2012, 123(24): 2233-2237.

[3] 毛先富, 苏显渝, 陈文静, 等. 改进傅里叶变换轮廓术的测量算法研究 [J].光学学报, 2008, 28(7): 1291-1295.

MAO Xianfu, SU Xianyu, CHEN Wenjing, et al. Analysis on Measurement Method of Improved Fourier Transforms Profilometry [J]. Acta Optica Sinica, 2008, 28(7): 1291-1295.

[4] 高成勇, 王蕴珊, 周灿林. 三步非定步长相移轮廓术研究 [J].光电子·激光, 2004, 15(8): 967-970.

GAO Chengyong, WANG Yunshan, ZHOU Canlin. Study of the Three-Undecided Step Length Phase Shifting Technique for Phase Measurement Profilometry [J]. Journal of Optoelectronics Laser, 2004, 15(8): 967-970.

[5] 王焘, 陈文静. 利用小波变换实现基于结构光投影的 S变换轮廓术 [J].激光与光电子学进展, 2012, 49(6): 105-113.

WANG Tao, CHEN Wenjing. Using Wavelet Transform to Actualize S Transform Profilometry Based on Structured Light Projection [J]. Laser & Optoelectronics Progress, 2012, 49(6): 105-113.

[6] 杨福俊, 耿敏, 戴美玲, 等. 基于单频四步相移条纹投影的不连续物体三维形貌测量 [J].光电子 ·激光, 2012, 23(8): 1535-1538.

YANG Fu-jun, GENG Min, DAI Mei-ling, et al. 3D shape measurement of discontinuous objects based on single frequency fringe projection in 4-step phase shifting profilemetry [J]. Journal of Optoelectronics Laser, 2012, 23(8): 1535-1538.

[7] Wang Y, Zhang S, Oliver J H. 3D shape measurement technique for multiple rapidly moving objects [J]. Opt. Express(S1094-4087), 2011, 19(9): 8539-8545.

[8] Almazan-Cuellar S, Malacara-Hernandez D. Two-step phase-shifting algorithm [J]. Optical Engineering(S0091-3286), 2003, 42(12): 3524–3531.

[9] Zhang S, Yau S T. High-speed three-dimensional shape measurement system using a modified two-plus-one phase-shifting algorithm [J]. Optical Engineering(S0091-3286), 2007, 46(11): 113603.

[10] 翟爱平, 曹益平, 何宇航. 基于“2+1”相移算法的正交复合光三维测量方法 [J].中国激光, 2012, 39(2): 153-158.

ZHAI Aiping, CAO Yiping, HE Yuhang. 3D Measurement with Orthogonal Composite Structure Light Based on Two-Plus-One Phase-Shifting Algorithm [J]. Chinese Journal of Lasers, 2012, 39(2): 153-158.

[11] Jia P, Kofman J, English C. Two-step triangular-pattern phase-shifting method for three-dimensional object-shape measurement [J]. Optical Engineering(S0091-3286), 2007, 46(8): 083201.

[12] 康新, 何小元. 两步相移实现投影栅相位测量轮廓术 [J].光学学报, 2003, 23(1): 75-79.

KANG Xin, HE Xiaoyuan. Two-Step Phase-Shifting Technique for Phase Measurement profilometry by Grating Projection [J]. Acta Optica Sinica, 2003, 23(1): 75-79.

[13] Zhu Y, Liu L, Luan Z, et al. Discussions about FFT-based two-step phase-shifting algorithm [J]. Optik(S0030-4026), 2008, 119(9): 424-428.

[14] YANG Fujun, HE Xiaoyuan. Two-step phase-shifting fringe projection profilometry: intensity derivative approach [J]. Applied Optics(S0003-6935), 2007, 46(29): 7172-7178.

[15] DUAN Xiaojie, DUAN Fajie, Lü Changrong. Phase stabilizing method based on PTAC for fiber-optic interference fringe projection profilometry [J]. Optics & Laser Technology(S0030-3992), 2013, 47: 137-143.

[16] LI Yang, CAO Yinping, Huang Zhenfen, et al. A three dimensional on-line measurement method based on five unequal steps phase shifting [J]. Optics Communications(S0030-4018), 2012, 285(21/22): 4285-4289.

[17] 孟祥锋, 蔡履中, 王玉荣, 等. 两步广义相移干涉术的光学实验验证 [J].物理学报, 2009, 58(3): 1668-1674.

MENG Xiangfeng, CAI Lizhong, WANG Yurong, et al. Optical experimental verification of two-step generalized phase-shifting interferometry [J]. Acta Physica Sinica, 2009, 58(3): 1668-1674.

[18] Kreis T. Digital holographic interference-phase measurement using the Fourier-transform method [J]. Journal of the Optical Society of America A, 1986, 3(6): 847-855.

[19] Schnars U, Juptner W P O. Digital recording and numerical reconstruction of holograms [J]. Measurement Science & Technology(S0957-0233), 2002, 13(9): R85-R101.

[20] Vargas J, Quiroga J A, Sorzano C, et al. Two-step demodulation based on the Gram–Schmidt orthonormalization method [J]. Optics Letters(S0146-9592), 2012, 37(3): 443-445.

[21] Tay CJ, Quan C, Yang F J, et al. A new method for phase extraction from a single fringe pattern [J]. Opt.Commun (S0030-4018), 2004, 239: 251–258.

[22] Arevalillo Herráez M, Burton D R, Lalor M J, et al. A Fast two-dimensional phase unwrapping algorithm based on sorting by reliability following a non-continuous path [J]. Applied Optics(S0003-6935), 2002, 41(35): 7437-7444.

[23] ZHU Xinjun, CHEN Zhangqing, TANG Chen. Variational image decomposition for automatic background and noise removal of fringe patterns [J]. Opt. Lett(S0146-9592), 2013, 38(3): 275-277.

周灿林, 司书春, 高成勇, 徐建强, 雷振坤. 基于格莱姆-施密特正交化两步相移轮廓术[J]. 光电工程, 2013, 40(6): 37. ZHOU Canlin, SI Shuchun, GAO Chengyong, XU Jianqiang, LEI Zhenkun. Two-step Phase-shifting Profilometry Based on Gram-Schmidt Orthonormalization[J]. Opto-Electronic Engineering, 2013, 40(6): 37.

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