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Phase error of binary fringe from defocusing projection

QIAO Nao-sheng CAO Bin-fang

乔闹生, 曹斌芳. 二值条纹离焦投影的相位误差研究[J]. 中国光学(中英文). doi: 10.37188/CO.EN-2025-0046
引用本文: 乔闹生, 曹斌芳. 二值条纹离焦投影的相位误差研究[J]. 中国光学(中英文). doi: 10.37188/CO.EN-2025-0046
QIAO Nao-sheng, CAO Bin-fang. Phase error of binary fringe from defocusing projection[J]. Chinese Optics. doi: 10.37188/CO.EN-2025-0046
Citation: QIAO Nao-sheng, CAO Bin-fang. Phase error of binary fringe from defocusing projection[J]. Chinese Optics. doi: 10.37188/CO.EN-2025-0046

二值条纹离焦投影的相位误差研究

详细信息
  • 中图分类号: O438.2

Phase error of binary fringe from defocusing projection

doi: 10.37188/CO.EN-2025-0046
Funds: Supported by Key Scientific Research Project of Hunan Provincial Department of Education (No. 22A0484); Natural Science Foundation of Hunan Province (No. 2026JJ80289); National Natural Science Foundation of China (No. 62573191)
More Information
    Author Bio:

    QIAO Nao-sheng (1971—), male, chaling, Hunan province, Ph.D, Professor, International College, Hunan University of Arts and Science. He received his Doctor degree from the School of Optoelectronic Engineering, University of Electronic Science and Technology of China in 2010. His research interests are optical information processing. E-mail: naoshengqiao@163.com

    Corresponding author: naoshengqiao@163.com
  • 摘要:

    由于实际的离焦投影系统产生非线性效应,影响了相位测量精度,为此对二值条纹离焦投影的相位误差展开研究。基于该领域研究现状分析,给出了非线性系统中变形条纹图信号光强的分布表达式,分析了频谱中出现的高级频谱成分及其与基频成分混在一起产生混叠现象的原因。通过对投影仪进行离焦处理滤除频谱中的高级频谱成分,过滤出其中的一个基频成分并进行逆傅立叶变换,得到空间域中的条纹光强表达式。采用相移算法与相位展开得到包含连续信号的连续相位,推导出在实际测量中进行相位展开后的误差表达式。仿真与实验验证了基本原理的正确性。仿真结果表明,采用本文方法所得误差值分别为二值条纹离焦法的34.51%、文献[1]提出的采样方法的44.83%、文献[10]的自校正方法的67.83%。实验结果表明,本文方法具有良好的相位恢复效果,且相对应的相位误差也比较小。

     

  • Figure 1.  Simulation results. (a) Simulated object; (b) deformed fringe image of simulated object; (c) 3D phase distribution map

    Figure 2.  Phase errors of recovered phase. (a) Binary fringe defocusing method; (b) method of Ref. [1]; (c) method of Ref. [10]; (d) our method

    Figure 3.  The experimental process framework diagram

    Figure 4.  The experiment results. (a) Binary fringe defocusing method; (b) method of Ref. [1]; (c) method of Ref. [10]; (d) our method; (e) the cross-section of the recovered phase map

  • [1] QIAO N SH, SHANG X. Influence of sampling on three-dimensional surface shape measurement[J]. Chinese Optics, 2024, 17(6): 1512-1520. (in Chinese). doi: 10.37188/CO.EN-2024-0003
    [2] GUO W B, WU ZH J, ZHANG Q C, et al. Generalized phase shift deviation estimation method for accurate 3-D shape measurement in phase-shifting profilometry[J]. IEEE Transactions on Instrumentation and Measurement, 2025, 74: 5023511. doi: 10.1109/tim.2025.3555717
    [3] XIE Y, WANG X H, ZHOU Q. Phase calculation of smooth surface with multi-reflectivity based on phase measurement deflectometry[J]. Optics Express, 2024, 32(12): 20866-20880. doi: 10.1364/OE.511045
    [4] WANG L, ZHANG Y T, YI L N, et al. Active projection nonlinear γ correction method for fringe projection profilometry[J]. Journal of the Optical Society of America A, 2022, 39(11): 1983-1991. doi: 10.1364/JOSAA.470088
    [5] YANG SH CH, WEN J, WU SH W, et al. Camera calibration with active standard Gaussian stripes for 3D measurement[J]. Measurement, 2024, 233: 114793. doi: 10.1016/j.measurement.2024.114793
    [6] ZHANG ZH Q, CHEN Y CH, DA F P, et al. Error correction of complex texture objects based on bidirectional fringe projection point cloud matching[J]. Chinese Optics, 2025, 18(5): 1086-1096. (in Chinese). doi: 10.37188/CO.2025-0040
    [7] GUO CH W, WANG Y, ZOU W ZH, et al. Study of phase correction method based on multi-frequency heterodyne principle[J]. Infrared and Laser Engineering, 2023, 52(5): 202206. (in Chinese). doi: 10.5768/JAO201435.0202001
    [8] LIU Y K, YU X, XUE J P, et al. A flexible phase error compensation method based on probability distribution functions in phase measuring profilometry[J]. Optics & Laser Technology, 2020, 129: 106267. doi: 10.1016/j.optlastec.2020.106267
    [9] WANG J, WU ZH X, HUANG Y Y, et al. A rapid and accurate gamma compensation method based on double response curve fitting for high-quality fringe pattern generation[J]. Optics & Laser Technology, 2023, 160: 109084. doi: 10.1016/j.optlastec.2022.109084
    [10] WANG J H, XU P, YANG Y X. Generic and flexible self-correction method for nonlinearity-induced phase error in three-dimensional imaging[J]. Chinese Optics Letters, 2024, 22(6): 061201. doi: 10.3788/COL202422.061201
    [11] ZHANG W, SHAN SH, LI Z, et al. Correction of phase errors introduced by nonlinearity and specular reflection based on double N-step phase-shifting profilometry[J]. Applied Physics B, 2024, 130(1): 1. doi: 10.1007/s00340-023-08142-4
    [12] TAN J, LIU J, WANG X, et al. Large depth range binary-focusing projection 3D shape reconstruction via unpaired data learning[J]. Optics and Lasers in Engineering, 2024, 181: 108442. doi: 10.1016/j.optlaseng.2024.108442
    [13] SHEN S Y, LU R SH, LI H, et al. High-speed 3D reconstruction with defocus composite fringes[J]. Applied Optics, 2024, 63(36): 9223-9231. doi: 10.1364/AO.542987
    [14] YUAN H S, ZENG H Y, WANG J, et al. Superlarge depth range 3D measurement based on dual-focal optimization strategy[J]. Optics Express, 2025, 33(7): 16041-16051. doi: 10.1364/OE.557383
    [15] CAI Z W, LIU X L, JIANG 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
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出版历程
  • 收稿日期:  2025-12-18
  • 录用日期:  2026-01-29
  • 网络出版日期:  2026-03-17

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