• Acta Optica Sinica
  • Vol. 39, Issue 3, 0312001 (2019)
Wenjuan Cai, Yiping Cao*, Guangkai Fu, Yapin Wang, Yingying Wan, Chengmeng Li, and Lu Wang
Author Affiliations
  • Department of Opto-Electronics, Sichuan University, Chengdu, Sichuan 610064, China
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    DOI: 10.3788/AOS201939.0312001 Cite this Article Set citation alerts
    Wenjuan Cai, Yiping Cao, Guangkai Fu, Yapin Wang, Yingying Wan, Chengmeng Li, Lu Wang. A Full-Field Compensation Method for Nonlinear Phase Error[J]. Acta Optica Sinica, 2019, 39(3): 0312001 Copy Citation Text show less
    Schematic of measurement
    Fig. 1. Schematic of measurement
    Phase-shifting direction of projected fringe
    Fig. 2. Phase-shifting direction of projected fringe
    Experimental results of the expected phase plane. (a) One frame of projected fringe patterns; (b) expected phase plane; (c) nonlinear phase error distribution; (d) the 200th column of the nonlinear phase error distribution in Fig. 3(c)
    Fig. 3. Experimental results of the expected phase plane. (a) One frame of projected fringe patterns; (b) expected phase plane; (c) nonlinear phase error distribution; (d) the 200th column of the nonlinear phase error distribution in Fig. 3(c)
    Experimental results of the plane at 6 mm and the reference plane. (a) the 300th column of the unwrapped phase distribution of the reference plane and the measured plane at 6 mm; (b) relationship between the unwrapped phase and the nonlinear phase error in the dashed rectangle of Fig. 4(a)
    Fig. 4. Experimental results of the plane at 6 mm and the reference plane. (a) the 300th column of the unwrapped phase distribution of the reference plane and the measured plane at 6 mm; (b) relationship between the unwrapped phase and the nonlinear phase error in the dashed rectangle of Fig. 4(a)
    Experimental results of plane at 5 mm. (a) Traditional PMP method; (b) Zhang's method; (c) proposed method; (d) the 200th column of phase distribution in Fig. 5(a), (b) and (c); (e) the reconstructed result of the plane at 5 mm by the proposed method
    Fig. 5. Experimental results of plane at 5 mm. (a) Traditional PMP method; (b) Zhang's method; (c) proposed method; (d) the 200th column of phase distribution in Fig. 5(a), (b) and (c); (e) the reconstructed result of the plane at 5 mm by the proposed method
    Measuring results of “heart” object. (a) “heart” object; (b) one frame of captured deformed patterns; (c) wrapped phase
    Fig. 6. Measuring results of “heart” object. (a) “heart” object; (b) one frame of captured deformed patterns; (c) wrapped phase
    Reconstructed results of “heart” object. (a) Traditional PMP method; (b) Zhang's method; (c) proposed method; (d) the 260th column cutaway view of Fig. 7(a); (e) the 260th column cutaway view of Fig. 7(b); (f) the 260th column cutaway view of Fig. 7(c)
    Fig. 7. Reconstructed results of “heart” object. (a) Traditional PMP method; (b) Zhang's method; (c) proposed method; (d) the 260th column cutaway view of Fig. 7(a); (e) the 260th column cutaway view of Fig. 7(b); (f) the 260th column cutaway view of Fig. 7(c)
    h /mmMethodParameter
    havgMAERMSE
    7Tra6.950.190.21
    Zhang7.030.050.07
    Pro7.020.020.03
    9Tra8.960.340.38
    Zhang8.980.070.09
    Pro8.990.030.04
    13Tra12.910.480.55
    Zhang13.010.090.11
    Pro13.010.060.07
    Table 1. Measurement results of height-known flat planes
    Wenjuan Cai, Yiping Cao, Guangkai Fu, Yapin Wang, Yingying Wan, Chengmeng Li, Lu Wang. A Full-Field Compensation Method for Nonlinear Phase Error[J]. Acta Optica Sinica, 2019, 39(3): 0312001
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