Acta Optica Sinica, Volume. 43, Issue 11, 1112005(2023)

Three-Dimensional Measurement Method of Reusing Weighted Binary Coded Stripes

Fei Yan1,2, Changqiu Lu1, Jie Wen1, Yuqian Xiao1, and Jia Liu1,2、*
Author Affiliations
  • 1College of Automation, Nanjing University of Information Science and Technology, Nanjing 210044, Jiangsu, China
  • 2Collaborative Innovation Center of Atmospheric Environment and Equipment Technology, Nanjing 210044, Jiangsu, China
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    Figures & Tables(17)
    Complementary Gray code assisted phase unwrapping. (a) N-step phase-shifting patterns; (b) complementary Gray code patterns; (c) wrapped phase pattern; (d) absolute phase pattern
    The process of generating binary stripes by binary coding
    Simulation of sinusoidal stripe weighted by binary stripes
    The process of the uniqueness of binary coded stripes
    Simulation of reusing weighted sinusoidal stripe by binary stripes
    Reconstruction and fitting of standard sphere. (a) Results of local point cloud reconstruction; (b) fitting error distribution
    Reconstruction results of horse head sculpture. (a) Absolute phase; (b) reconstruction results; (c) local reconstruction results
    Comparison of stripes sinusoidal fitting. (a) Phase shifted fringe images; (b) fitted images
    Images of line fitting
    Precision comparison with traditional methods. (a) Reconstruction results of local point cloud; (b) fitting error distribution
    Reconstruction results of large depth objects. (a) Reconstruction results of local point cloud; (b) results of local amplification
    • Table 1. Sampling value analysis

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      Table 1. Sampling value analysis

      Number of gray valuesDuplicate stripes

      Number of superposition

      after uniqueness

      8Bc2Bc4Bc5Bc7Bc3Bc6Bc83
      9Bc3Bc8Bc4Bc6Bc75
      12Bc3Bc5Bc6Bc7Bc4Bc84
      15Bc1Bc67
      16Bc5Bc7Bc6Bc86
      18Bc3Bc8Bc6Bc76
      20Bc3Bc87
    • Table 2. Analysis of projection amplitude of different values

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      Table 2. Analysis of projection amplitude of different values

      Number of gray values121518121620Literature[16
      Number of superposition47646711
      Period of stripe32323232323232
      Width of stripe /pixel768912912768912912912
      N-step phase-shifting3334444
      Number of gray codes6666666
      Number of projections20292624323652
    • Table 3. Analysis results of fitting error

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      Table 3. Analysis results of fitting error

      Number of values121518121620Literature[16
      N-step phase-shifting3334444
      Number of point clouds38326395623897736072367153710338411
      Average distance /mm0.01530.03810.04400.01070.01600.03630.0156
    • Table 4. Results of fitting error of sinusoidal stripes

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      Table 4. Results of fitting error of sinusoidal stripes

      MethodRMSESSE
      Three-step phase-shifting5.47328267.2
      Four-step phase-shifting5.22637538.7
      Proposed method/three-step3.60823529.3
      Proposed method/four-step3.31253028.4
    • Table 5. Results of error of line fitting

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      Table 5. Results of error of line fitting

      MethodRMSE /mmSSE /mm
      Three-step phase-shifting0.09592.7378
      Four-step phase-shifting0.06461.2451
      Proposed method/three-step0.04150.4804
      Proposed method/four-step0.03880.4493
    • Table 6. Comparison results of precision

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      Table 6. Comparison results of precision

      MethodNumber of point cloudsAverage distance /mm
      Three-step phase-shifting399160.0434
      Four-step phase-shifting392560.0561
      Proposed method/three-step383260.0153
      Proposed method/four-step360720.0107
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    Fei Yan, Changqiu Lu, Jie Wen, Yuqian Xiao, Jia Liu. Three-Dimensional Measurement Method of Reusing Weighted Binary Coded Stripes[J]. Acta Optica Sinica, 2023, 43(11): 1112005

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Dec. 8, 2022

    Accepted: Feb. 21, 2023

    Published Online: May. 29, 2023

    The Author Email: Liu Jia (liuzy@ciomp.ac.cn)

    DOI:10.3788/AOS222116

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