Laser & Optoelectronics Progress, Volume. 55, Issue 11, 111004(2018)

Phase Unwrapping Algorithm Based on Mode Coefficient Solution

Boqing Pang1,2,3, Shuai Wang1,3, and Ping Yang1,3、*
Author Affiliations
  • 1 Key Laboratory on Adaptive Optics, Chinese Academy of Sciences, Chengdu, Sichuan 610209, China
  • 2 University of Chinese Academy of Sciences, Beijing 100049, China
  • 3 Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu, Sichuan 610209, China
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    Figures & Tables(10)
    Walsh function. (a) Sector elements generated by segmentation; (b) Walsh functions in two-dimensional polar coordinate
    Equivalent phase of wavefront
    Incident wavefront. (a) Wavefront shape; (b) Zernike polynomial coefficients
    Phase reconstruction. (a) Wrapped phase; (b) equivalent phase
    Equivalent phase of the Zernike polynomials
    Results of the Zernike polynomial coefficients. (a) Zernike polynomial coefficients; (b) error values of the retrieval Zernike polynomial coefficients
    Wavefront reconstruction results. (a) Reconstructed wavefront; (b) wavefront reconstruction error
    Phase reconstruction results based on the equivalent phase matrix. (a) Equivalent phase of the incident wavefront; (b) equivalent phase of the wavefront reconstruction; (c) error of the equivalent phase reconstruction
    • Table 1. RMS of the residual wavefront

      View table

      Table 1. RMS of the residual wavefront

      Number ofZernike functionNumber of Walsh function
      1282565121024
      350.0042λ0.0024λ0.0021λ0.0017λ
      650.0158λ0.0033λ0.0022λ0.0019λ
    • Table 2. Performance comparison of phase unwrapping algorithm

      View table

      Table 2. Performance comparison of phase unwrapping algorithm

      Phase unwrapping algorithmTime /sRMS /λ
      Least-square0.1560.152
      Proposed algorithm0.00080.0024
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    Boqing Pang, Shuai Wang, Ping Yang. Phase Unwrapping Algorithm Based on Mode Coefficient Solution[J]. Laser & Optoelectronics Progress, 2018, 55(11): 111004

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    Paper Information

    Category: Image Processing

    Received: Mar. 30, 2018

    Accepted: May. 28, 2018

    Published Online: Aug. 14, 2019

    The Author Email: Ping Yang (pingyang2516@163.com)

    DOI:10.3788/LOP55.111004

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