• Acta Optica Sinica
  • Vol. 41, Issue 18, 1812003 (2021)
Chaozhi Yang and Yiping Cao*
Author Affiliations
  • College of Electronics and Information Engineering, Sichuan University, Chengdu, Sichuan 610065, China
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    DOI: 10.3788/AOS202141.1812003 Cite this Article Set citation alerts
    Chaozhi Yang, Yiping Cao. Real-Time Phase Measuring Profilometry Based on Single-Shot Four-Grayscale Fringe Projection[J]. Acta Optica Sinica, 2021, 41(18): 1812003 Copy Citation Text show less
    Real-time measuring system of PMP based on four-grayscale fringe pattern projection
    Fig. 1. Real-time measuring system of PMP based on four-grayscale fringe pattern projection
    Projection and capturing of four-grayscale encoded fringe pattern. (a) Fringe pattern projection matrix; (b) grayscale distribution of fringe pattern projection; (c) capturing of reference fringe; (d) capturing of deformed fringe
    Fig. 2. Projection and capturing of four-grayscale encoded fringe pattern. (a) Fringe pattern projection matrix; (b) grayscale distribution of fringe pattern projection; (c) capturing of reference fringe; (d) capturing of deformed fringe
    OPE on periodic boundary of fringe pattern. (a) Gray-scale distribution on periodic boundary of fringe pattern; (b) inaccurate segmentation of fringe pattern
    Fig. 3. OPE on periodic boundary of fringe pattern. (a) Gray-scale distribution on periodic boundary of fringe pattern; (b) inaccurate segmentation of fringe pattern
    Periodic boundary searching of fringe patterns. (a) Gray value of fringe pattern; (b) gray differential of fringe pattern
    Fig. 4. Periodic boundary searching of fringe patterns. (a) Gray value of fringe pattern; (b) gray differential of fringe pattern
    Flow chart of fringe segmention
    Fig. 5. Flow chart of fringe segmention
    Binary fringe patterns with 1/3 period displacement after fringe segmentation. (a) 1st frame of binary fringe pattern; (b) 2nd frame of binary fringe pattern; (c) 3rd frame of binary fringe pattern
    Fig. 6. Binary fringe patterns with 1/3 period displacement after fringe segmentation. (a) 1st frame of binary fringe pattern; (b) 2nd frame of binary fringe pattern; (c) 3rd frame of binary fringe pattern
    Schematic of experimental setup
    Fig. 7. Schematic of experimental setup
    Measuring experiment for knife. (a) Knife; (b) captured deformed fringe pattern; (c) binary deformed fringe pattern after segmentation; (d) extracted sinusoidal deformed fringe patterns; (e) wrapped phase; (f) 3D reconstructed result
    Fig. 8. Measuring experiment for knife. (a) Knife; (b) captured deformed fringe pattern; (c) binary deformed fringe pattern after segmentation; (d) extracted sinusoidal deformed fringe patterns; (e) wrapped phase; (f) 3D reconstructed result
    Real-time measuring experiment for workpiece. (a)(b)(c) Four-grayscale deformed fringe patterns captured with 0.03 s period; (d)(e)(f) corresponding wrapped phases; (g)(h)(i) corresponding reconstructed results
    Fig. 9. Real-time measuring experiment for workpiece. (a)(b)(c) Four-grayscale deformed fringe patterns captured with 0.03 s period; (d)(e)(f) corresponding wrapped phases; (g)(h)(i) corresponding reconstructed results
    Face-model reconstruction experiment. (a) Reconstruction result of FTP; (b) reconstruciton result of proposed method; (c) reconstruction result of 3-step PMP; (d) cross section of 670th column; (e) details of nose tip
    Fig. 10. Face-model reconstruction experiment. (a) Reconstruction result of FTP; (b) reconstruciton result of proposed method; (c) reconstruction result of 3-step PMP; (d) cross section of 670th column; (e) details of nose tip
    Moving speed /(mm·s-1)5102030
    RMSE /mm0.0340.0370.0450.048
    Table 1. RMSE of reconstruction result of workpiece under each moving speed
    AlgorithmFTPProposed method3-step PMP
    MAE /mm0.1830.0820.067
    RMSE /mm0.2040.1280.089
    Table 2. Error analysis for face-model reconstruction results by different algorithms
    Chaozhi Yang, Yiping Cao. Real-Time Phase Measuring Profilometry Based on Single-Shot Four-Grayscale Fringe Projection[J]. Acta Optica Sinica, 2021, 41(18): 1812003
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