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基于彩色编码光栅投影的双N步相移轮廓术

王建华,杨延西

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王建华, 杨延西. 基于彩色编码光栅投影的双N步相移轮廓术[J]. , 2019, 12(3): 616-627. doi: 10.3788/CO.20191203.0616
引用本文: 王建华, 杨延西. 基于彩色编码光栅投影的双N步相移轮廓术[J]. , 2019, 12(3): 616-627.doi:10.3788/CO.20191203.0616
WANG Jian-hua, YANG Yan-xi. Double N-step phase-shifting profilometry using color-encoded grating projection[J]. Chinese Optics, 2019, 12(3): 616-627. doi: 10.3788/CO.20191203.0616
Citation: WANG Jian-hua, YANG Yan-xi. Double N-step phase-shifting profilometry using color-encoded grating projection[J].Chinese Optics, 2019, 12(3): 616-627.doi:10.3788/CO.20191203.0616

基于彩色编码光栅投影的双N步相移轮廓术

doi:10.3788/CO.20191203.0616
基金项目:

国家自然科学基金项目51275405

详细信息
    作者简介:

    王建华(1981-), 男, 山东临沂人, 博士研究生, 2004年于中国地质大学获得学士学位, 2011年于中国矿业大学获得硕士学位, 主要从事光学三维测量和智能机器人方面的研究。E-mail:wjh051130@163.com

    杨延西(1975-), 男, 山东郓城人, 教授, 博士生导师, 2003年于西安理工大学获得博士学位, 主要从事复杂系统控制、机器视觉和智能机器人方面的研究。E-mail:yangyanxi@xaut.edu.cn

  • 中图分类号:TP391;TH741

Double N-step phase-shifting profilometry using color-encoded grating projection

Funds:

National Natural Science Foundation of China51275405

More Information
  • 摘要:双N步相移轮廓术虽然可以大大降低由于光栅条纹的非正弦性所导致的相位误差,但增加了一倍的投影条纹数量,降低了测量效率。针对此问题,本文提出一种基于彩色编码光栅投影的双N步相移轮廓术,它将原相移条纹和附加相移条纹编码成双色条纹,融合到一幅彩色光栅条纹中投影,然后从采集的彩色条纹中提取两套条纹的相位信息,分别解包裹相位后,融合两包裹相位以减小相位误差。为验证所提方法的有效性,将该方法与两种典型的相位展开算法结合进行实验。实验结果证明,所提方法能有效降低相位误差,且不需要增加任何额外的光栅条纹,测量效率提高了46%。

  • 图 1包裹相位和展开相位的一行

    Figure 1.A line of wrapped phase and unwrapped phase

    图 2彩色光栅条纹形成示意图

    Figure 2.Schematic of color-encoded grating fringe formation

    图 3彩色光栅条纹的生成、投影、采集和GB分量提取

    Figure 3.Generation, projection, capture and GB component extraction of color-encoded grating fringe

    图 4双步相移法的相位融合

    Figure 4.Phase fusion of double step phase-shifting method

    图 5三维测量系统

    Figure 5.Three-dimensional measurement system

    图 6相移法与枝切法结合解相位

    Figure 6.Phase calculation by the combination of phase-shifting method and branch-cut method

    图 7三频外差法的原理

    Figure 7.Principle of three-frequency heterodyne method

    图 8相移法与三频外差法结合解相位

    Figure 8.Phase calculation by the combination of phase-shifting and three-frequency heterodyne method

    图 9红色采集条纹的颜色串扰

    Figure 9.Color crosstalk of red grating fringe

    表 1条纹数量

    Table 1.The number of fringes

    算法 双N步相移与枝切法解相位 双N步相移与三频外差法解相位
    条纹颜色 灰度条纹 彩色条纹 灰度条纹 彩色条纹
    条纹数量 8 4 24 12
    下载: 导出CSV
  • [1] 张来刚, 魏仲慧, 何昕, 等.多约束融合算法在多摄像机测量系统中的应用[J].液晶与显示, 2013, 28(4):608- 614.http://d.old.wanfangdata.com.cn/Periodical/yjyxs201304025

    ZHANG L G, WEI ZH H, HE X,et al.. Multi-camera measurement system based on multi-constraint fusion algorithm[J].Chinese Journal of Liquid Crystals and Displays, 2013, 28(4):608-614.(in China)http://d.old.wanfangdata.com.cn/Periodical/yjyxs201304025
    [2] ZHONG K, LI ZH W, SHI Y SH,et al.. Fast phase measurement profilometry for arbitrary shape objects without phase unwrapping[J].Optics and Lasers in Engineering, 2013, 51(11):1213-1222.doi:10.1016/j.optlaseng.2013.04.016
    [3] 王勇, 饶勤菲, 唐靖, 等.采用小波脊系数幅值导数方差质量图的相位展开法[J].光子学报, 2015, 44(2):0210001.http://d.old.wanfangdata.com.cn/Periodical/gzxb201502011

    WANG Y, RAO Q F, TANG J,et al.. Phase unwrapping algorithm based on the amplitude of wavelet ridge coefficient variance derivative quality map[J].Acta Photonica Sinica, 2015, 44(2):0210001.(in Chinese)http://d.old.wanfangdata.com.cn/Periodical/gzxb201502011
    [4] 王建华, 杨延西, 马晨.基于价值函数的二维小波变换小波脊提取算法[J].仪器仪表学报, 2017, 38(12):2915-2923.http://www.cnki.com.cn/Article/CJFDTOTAL-YQXB201712005.htm

    WANG J H, YANG Y X, MA CH. Wavelet ridge extraction algorithm using a cost function in two-dimensional wavelet transform[J].Chinese Journal of Scientific Instrument, 2017, 38(12):2915-2923.(in Chinese)http://www.cnki.com.cn/Article/CJFDTOTAL-YQXB201712005.htm
    [5] ZHANG S, YAU S T. High-resolution, real-time 3D absolute coordinate measurement based on a phase-shifting method[J].Optics Express, 2006, 14(7):2644-2649.doi:10.1364/OE.14.002644
    [6] GAI SH Y, DA F P. A novel phase-shifting method based on strip marker[J].Optics and Laser in Engineering, 2010, 48(2):205-211.doi:10.1016/j.optlaseng.2009.03.020
    [7] HUANG P S, ZHANG S. Fast three-step phase-shifting algorithm[J].Applied Optics, 2006, 45(21):5086-5091.doi:10.1364/AO.45.005086
    [8] TAKEDA M, MUTOH K. Fourier transform profilometry for the automatic measurement of 3-D object shapes[J].Applied Optics, 1983, 22(24):3977-3982.doi:10.1364/AO.22.003977
    [9] ABID A. Fringe pattern demodulation using the one-dimensional continuous wavelet transform: field-programmable gate array implementation[J].Applied Optics, 2013, 52(7):1468-1471.doi:10.1364/AO.52.001468
    [10] WANG ZH Y, MA J, VO M. Recent progress in two-dimensional continuous wavelet transform technique for fringe pattern analysis[J].Optics and Lasers in Engineering, 2012, 50(8):1052-1058.doi:10.1016/j.optlaseng.2012.01.029
    [11] ZHANG Z B, ZHONG J G. Applicability analysis of wavelet-transform profilometry[J].Optics Express, 2013, 21(16):18777-18796.doi:10.1364/OE.21.018777
    [12] ZHANG S, YAU S T. Generic nonsinusoidal phase error correction for three-dimensional shape measurement using a digital video projector[J].Applied Optics, 2007, 46(1):36-43.doi:10.1364/AO.46.000036
    [13] BAKER M J, XI J, CHICHARO J F. Elimination of gamma nonlinear luminance effects for digital video projection phase measuring profilometers[C]. Proceedings of the 4th IEEE International Symposium on Electronic Design, Test and Applications, 2008: 496-501.
    [14] PAN B, QIAN K M, HUANG L,et al.. Phase error analysis and compensation for nonsinusoidal waveforms in phase-shifting digital fringe projection profilometry[J].Optics Letter, 2009, 34(4):416-418.doi:10.1364/OL.34.000416
    [15] CAI Z W, LIU X L, LIANG H,et al.. Flexible phase error compensation based on Hilbert transform in phase shifting profilometry[J].Optics Express, 2015, 23(19):25171-25181.doi:10.1364/OE.23.025171
    [16] YATABE K, ISHIKAWA K, OIKAWA Y. Compensation of fringe distortion for phase-shifting three-dimensional shape measurement by inverse map estimation[J].Applied Optics, 2016, 55(22):6017-6024.doi:10.1364/AO.55.006017
    [17] ZHANG W, YU L D, LI W SH,et al.. Black-box phase error compensation for digital phase-shifting profilometry[J].IEEE Transactions on Instrumentation and Measurement, 2017, 66(10):2755-2761.doi:10.1109/TIM.2017.2712862
    [18] HUANG P S, HU Q J, CHIANG F P. Double three-step phase-shifting algorithm[J].Applied Optics, 2002, 41(22):4503-4509.doi:10.1364/AO.41.004503
    [19] SU W H. Color-encoded fringe projection for 3D shape measurements[J].Optics Express, 2007, 15(20):13167-13181.doi:10.1364/OE.15.013167
    [20] JIANG CH, JIA SH H, DONG J,et al.. Multi-frequency color-marked fringe projection profilometry for fast 3D shape measurement of complex objects[J].Optics Express, 2015, 23(19):24152-24162.doi:10.1364/OE.23.024152
    [21] SONG L M, LI Z Y, CHEN CH M,et al. A correction method of color projection fringes in 3D contour measurement[J].Optoelectronics Letters, 2015, 11(4):303-306.doi:10.1007/s11801-015-5050-x
    [22] GOLDSTEIN R M, ZEBKER A, WERNER C A,et al.. Satelliteradar interferometry:two dimensional phase unwrapping[J].Radio Science, 1988, 23(4):713-720.doi:10.1029/RS023i004p00713
    [23] ZUO CH, HUANG L, ZHANG M L,et al.. Temporal phase unwrapping algorithms for fringe projection profilometry:a comparative review[J].Optics and Lasers in Engineering, 2016, 85:84-103.doi:10.1016/j.optlaseng.2016.04.022
    [24] NGUYEN H, NGUYEN D, WANG ZH Y,et al.. Real-time, high-accuracy 3D imaging and shape measurement[J].Applied Optics, 2015, 54(1):A9-A17.doi:10.1364/AO.54.0000A9
    [25] 孙辉, 柏旭光, 孙丽娜, 等.Bayer图像色彩还原线性插值方法[J].液晶与显示, 2013, 28(3):417-423.http://d.old.wanfangdata.com.cn/Periodical/yjyxs201303022

    SUN H, BAI X G, SUN L N,et al.. Linear interpolation of demosaicing for bayer pattern[J].Chinese Journal of Liquid Crystals and Displays, 2013, 28(3):417-423.(in Chinese)http://d.old.wanfangdata.com.cn/Periodical/yjyxs201303022
    [26] ZHANG ZH, TOWERS C E, TOWERS D P. Shape and color measurement of colorful objects by fringe projection[J].Proceedings of SPIE, 2008, 7063:70630N.doi:10.1117/12.794561
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出版历程
  • 收稿日期:2018-08-06
  • 修回日期:2018-09-29
  • 刊出日期:2019-06-01

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