• Acta Optica Sinica
  • Vol. 43, Issue 11, 1112005 (2023)
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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    DOI: 10.3788/AOS222116 Cite this Article Set citation alerts
    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 Copy Citation Text show less
    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
    Fig. 1. 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
    Fig. 2. The process of generating binary stripes by binary coding
    Simulation of sinusoidal stripe weighted by binary stripes
    Fig. 3. Simulation of sinusoidal stripe weighted by binary stripes
    The process of the uniqueness of binary coded stripes
    Fig. 4. The process of the uniqueness of binary coded stripes
    Simulation of reusing weighted sinusoidal stripe by binary stripes
    Fig. 5. 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
    Fig. 6. 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
    Fig. 7. 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
    Fig. 8. Comparison of stripes sinusoidal fitting. (a) Phase shifted fringe images; (b) fitted images
    Images of line fitting
    Fig. 9. Images of line fitting
    Precision comparison with traditional methods. (a) Reconstruction results of local point cloud; (b) fitting error distribution
    Fig. 10. 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
    Fig. 11. Reconstruction results of large depth objects. (a) Reconstruction results of local point cloud; (b) results of local amplification
    Number of gray valuesDuplicate stripes

    Number of superposition

    after uniqueness

    8Bc2Bc4Bc5Bc7Bc3Bc6Bc83
    9Bc3Bc8Bc4Bc6Bc75
    12Bc3Bc5Bc6Bc7Bc4Bc84
    15Bc1Bc67
    16Bc5Bc7Bc6Bc86
    18Bc3Bc8Bc6Bc76
    20Bc3Bc87
    Table 1. Sampling value analysis
    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 2. Analysis of projection amplitude of different values
    Number of values121518121620Literature[16
    N-step phase-shifting3334444
    Number of point clouds38326395623897736072367153710338411
    Average distance /mm0.01530.03810.04400.01070.01600.03630.0156
    Table 3. Analysis results of fitting error
    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 4. Results of fitting error of sinusoidal stripes
    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 5. Results of error of line fitting
    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
    Table 6. Comparison results of precision
    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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