• Chinese Optics Letters
  • Vol. 19, Issue 10, 101201 (2021)
Xin Yu1, Shanshan Lai1, Yuankun Liu1、*, Wenjing Chen1, Junpeng Xue1、2, and Qican Zhang1
Author Affiliations
  • 1Opto-Electronic Department, Sichuan University, Chengdu 610065, China
  • 2School of Aeronautics and Astronautics, Sichuan University, Chengdu 610065, China
  • show less
    DOI: 10.3788/COL202119.101201 Cite this Article Set citation alerts
    Xin Yu, Shanshan Lai, Yuankun Liu, Wenjing Chen, Junpeng Xue, Qican Zhang. Generic nonlinear error compensation algorithm for phase measuring profilometry[J]. Chinese Optics Letters, 2021, 19(10): 101201 Copy Citation Text show less
    Fringe projection system.
    Fig. 1. Fringe projection system.
    Nonlinear effect for (a) the wrapped phase and (b) the PDF curves.
    Fig. 2. Nonlinear effect for (a) the wrapped phase and (b) the PDF curves.
    In the cases of different values of M: (a) PDF curves and (b) partial phase sampling regions.
    Fig. 3. In the cases of different values of M: (a) PDF curves and (b) partial phase sampling regions.
    Process of finding K2 and compensation.
    Fig. 4. Process of finding K2 and compensation.
    Measurement results: (a) captured fringe image, (b) the real PDF, (c) the comparison result of real and simulated PDF curves, and (d) the correlation curve.
    Fig. 5. Measurement results: (a) captured fringe image, (b) the real PDF, (c) the comparison result of real and simulated PDF curves, and (d) the correlation curve.
    Comparisons of these two methods: (a) the residual phase error and (b) the PDF curves.
    Fig. 6. Comparisons of these two methods: (a) the residual phase error and (b) the PDF curves.
    Measurement results of a pulp mask: (a) without compensation, (b) compensated by our previous work, and (c) compensated by the proposed method.
    Fig. 7. Measurement results of a pulp mask: (a) without compensation, (b) compensated by our previous work, and (c) compensated by the proposed method.
     OriginalOur Previous WorkProposed Algorithm
    Coefficients (C1 and C2/K2)(0.2340, −0.0240)0.2400
    STD of the phase errors (rad)0.16990.01290.0125
    Processing time (s)329.360.12
    Table 1. Quantitative Comparison Results of the Measurement by Two Methods
     OriginalOur Previous WorkProposed Algorithm
    Coefficients (C1 and C2/K2)(0.2270, −0.0220)0.2300
    STD of the phase errors (rad)0.16620.02260.0222
    Processing time (s)331.060.12
    Table 2. Quantitative Comparison Results of the Object Measurement by Two Methods
    Xin Yu, Shanshan Lai, Yuankun Liu, Wenjing Chen, Junpeng Xue, Qican Zhang. Generic nonlinear error compensation algorithm for phase measuring profilometry[J]. Chinese Optics Letters, 2021, 19(10): 101201
    Download Citation