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基于格雷码的分区间相位展开方法

严飞 祁健 刘银萍 吴迪 于强 刘佳

严飞, 祁健, 刘银萍, 吴迪, 于强, 刘佳. 基于格雷码的分区间相位展开方法[J]. 应用光学, 2023, 44(1): 79-85. doi: 10.5768/JAO202344.0102003
引用本文: 严飞, 祁健, 刘银萍, 吴迪, 于强, 刘佳. 基于格雷码的分区间相位展开方法[J]. 应用光学, 2023, 44(1): 79-85. doi: 10.5768/JAO202344.0102003
YAN Fei, QI Jian, LIU Yinping, WU Di, YU Qiang, LIU Jia. Inter-partition phase unwrapping method based on Gray code[J]. Journal of Applied Optics, 2023, 44(1): 79-85. doi: 10.5768/JAO202344.0102003
Citation: YAN Fei, QI Jian, LIU Yinping, WU Di, YU Qiang, LIU Jia. Inter-partition phase unwrapping method based on Gray code[J]. Journal of Applied Optics, 2023, 44(1): 79-85. doi: 10.5768/JAO202344.0102003

基于格雷码的分区间相位展开方法

doi: 10.5768/JAO202344.0102003
基金项目: 国家自然科学基金(61605083);江苏省产业前瞻与关键核心技术重点项目(BE2020006-2)
详细信息
    作者简介:

    严飞(1983—),男,博士,硕士生导师,主要从事三维测量与显示、嵌入式图像处理技术等方面的研究。E-mail:fyan@nuist.edu.cn

    通讯作者:

    刘佳(1981—),女,博士,教授,硕士生导师,主要从事虚拟现实增强现实、人机交互及机器人技术等方面的研究。E-mail:liujia@nuist.edu.cn

  • 中图分类号: TN247

Inter-partition phase unwrapping method based on Gray code

  • 摘要: 格雷码因具有良好的鲁棒性和抗噪性,被广泛应用到结构光投影三维成像方法中。在三维测量过程中,由于设备以及其他环境噪声的影响,格雷码方法解码条纹级次边沿和截断相位边沿通常无法处于理想的对齐状况,使得展开的相位出现跳变现象。为了更好地避免级次跳变误差,使得边沿跳变区域的容错宽度更大,提出基于格雷码的分区间相位展开方法。在互补格雷码基础上增加一幅格雷码图像,利用所有格雷码解得附加码字,通过对附加码字进行不同位移量的条纹级次映射,得到2个辅助条纹级次。利用所有条纹级次,对截断相位进行分区间相位展开,在边沿跳变区域错误大于半个周期时,仍能获取到无跳变现象的展开相位。实验结果表明,当边沿错误区域宽度小于3/4个条纹周期宽度时,可以有效避免级次跳变产生的误差。
  • 图  1  相移技术

    Fig.  1  Phase shift technology

    图  2  格雷码结合相移方法

    Fig.  2  Method of Gray code combined with phase shift

    图  3  互补格雷码方法

    Fig.  3  Complementary Gray code method

    图  4  4幅格雷码模式编码获取不同位移的条纹级次

    Fig.  4  Four-piece Gray code mode encoding to obtain fringe levels with different displacements

    图  5  级次跳变误差校正原理图

    Fig.  5  Schematic diagram of level hopping error correction

    图  6  标定板实验重建结果

    Fig.  6  Experimental reconstruction results of calibration plate

    图  7  标准球拟合误差结果

    Fig.  7  Fitting error results of standard sphere

    图  8  展开相位测量结果

    Fig.  8  Measurement results of unwrapped phase

    图  9  不同截断相位重建结果

    Fig.  9  Reconstruction results of different wrapped phases

    表  1  展开相位准确性分析结果

    Table  1  Analysis results of unwrapped phase accuracy

    相位展开方法总点数错误点个数错误点占比/%
    传统格雷码方法208 45873 22735.13
    互补格雷码方法208 45842 12720.21
    本文方法208 6582 2631.08
    下载: 导出CSV
  • [1] GORTHI S S, RASTOGI P. Fringe projection techniques: whither we are?[J]. Optics and Lasers in Engineering,2010,48(2):133-140. doi: 10.1016/j.optlaseng.2009.09.001
    [2] 刘路, 潘艳娟, 奚冬冬, 等. 相位编码条纹投影轮廓术的相位展开误差校正方法[J]. 应用光学,2020,41(5):978-983. doi: 10.5768/JAO202041.0502007

    LIU Lu, PAN Yanjuan, XI Dongdong, et al. Phase unwrapping errors correction for phase-encoding based on fringe projection profilometry[J]. Journal of Applied Optics,2020,41(5):978-983. doi: 10.5768/JAO202041.0502007
    [3] CHEN F, BROWN G M, SONG M. Overview of 3-D shape measurement using optical methods[J]. Optical Engineering,2000,39(1):10-22. doi: 10.1117/1.602438
    [4] 朱勇建, 黄振, 马俊飞, 等. 光栅投影三维测量系统标定技术研究[J]. 应用光学,2020,41(5):938-946. doi: 10.5768/JAO202041.0502002

    ZHU Yongjian, HUANG Zhen, MA Junfei, et al. Study on calibration method of grating projection 3D measuring system[J]. Journal of Applied Optics,2020,41(5):938-946. doi: 10.5768/JAO202041.0502002
    [5] SU X, CHEN W. Reliability-guided phase unwrapping algorithm: a review[J]. Optics and Lasers in Engineering,2004,42(3):245-261. doi: 10.1016/j.optlaseng.2003.11.002
    [6] LI B Y, TANG C, ZHOU Q L, et al. Weighted least-squares phase-unwrapping algorithm based on the orientation coherence for discontinuous optical phase patterns[J]. Applied Optics,2019,58(2):219-226. doi: 10.1364/AO.58.000219
    [7] 钱晓凡, 张永安, 李新宇, 等. 基于掩膜和最小二乘迭代的相位解包裹方法[J]. 光学学报,2010,30(2):440-444. doi: 10.3788/AOS20103002.0440

    QIAN Xiaofan, ZHANG Yong'an, LI Xinyu, et al. Phase unwrapping algorithm based on mask and least-squares iteration[J]. Acta Optica Sinica,2010,30(2):440-444. doi: 10.3788/AOS20103002.0440
    [8] CHENG Y Y, WYANT J C. Two-wavelength phase shifting interferometry[J]. Applied Optics,1984,23(24):4539. doi: 10.1364/AO.23.004539
    [9] WANG Y J, ZHANG S. Novel phase-coding method for absolute phase retrieval[J]. Optics Letters,2012,37(11):2067-2069. doi: 10.1364/OL.37.002067
    [10] SANSONI G, CORINI S, LAZZARI S, et al. Three-dimensional imaging based on Gray-code light projection: characterization of the measuring algorithm and development of a measuring system for industrial applications[J]. Applied Optics,1997,36(19):4463-4472. doi: 10.1364/AO.36.004463
    [11] LAUGHNER J I, ZHANG S, LI H, et al. Mapping cardiac surface mechanics with structured light imaging[J]. American Journal of Physiology Heart and Circulatory Physiology,2012,303(6):712-720. doi: 10.1152/ajpheart.00269.2012
    [12] ZHENG D L, QIAN K M, DA F P, et al. Ternary Gray code-based phase unwrapping for 3D measurement using binary patterns with projector defocusing[J]. Applied Optics,2017,56(13):3660-3665. doi: 10.1364/AO.56.003660
    [13] LEI S Y, ZHANG S. Flexible 3-D shape measurement using projector defocusing[J]. Optics Letters,2009,34(20):3080-3082. doi: 10.1364/OL.34.003080
    [14] WU Z J, ZUO C, GUO W B, et al. High-speed three-dimensional shape measurement based on cyclic complementary Gray-code light[J]. Optics Express,2019,27(2):1283-1297. doi: 10.1364/OE.27.001283
    [15] 孙学真, 苏显渝, 邹小平. 基于互补型光栅编码的相位展开[J]. 光学学报,2008,28(10):1947-1951. doi: 10.3321/j.issn:0253-2239.2008.10.020

    SUN Xuezhen, SU Xianyu, ZOU Xiaoping. Phase-unwrapping based on complementary structured light binary code[J]. Acta Optica Sinica,2008,28(10):1947-1951. doi: 10.3321/j.issn:0253-2239.2008.10.020
    [16] ZHANG Q C, SU X Y, XIANG L Q, et al. 3-D shape measurement based on complementary Gray-code light[J]. Optics and Lasers in Engineering,2012,50(4):574-579. doi: 10.1016/j.optlaseng.2011.06.024
    [17] 张启灿, 吴周杰. 基于格雷码图案投影的结构光三维成像技术[J]. 红外与激光工程,2020,49(3):78-90.

    ZHANG Qican, WU Zhoujie. Three-dimensional imaging technique based on Gray-coded structured illumination[J]. Infrared and Laser Engineering,2020,49(3):78-90.
    [18] SRINIVASAN V, LIU H C, HALIOUA M. Automated phase-measuring profilometry of 3-D diffuse objects[J]. Applied Optics,1984,23(18):3105. doi: 10.1364/AO.23.003105
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出版历程
  • 收稿日期:  2022-03-09
  • 修回日期:  2022-08-04
  • 网络出版日期:  2022-09-03
  • 刊出日期:  2023-01-17

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