Laser & Optoelectronics Progress, Volume. 57, Issue 2, 21103(2020)

Wavefront Distortion Correction Based on Wavelet Fractal Interpolation

Wang Haiqun, Wang Shuiman*, and Zhang Yi
Author Affiliations
  • College of Electrical Engineering, North China University of Science and Technology, Tangshan, Hebei 063200, China
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    Figures & Tables(9)
    Averaged coherent mixing efficiency of homodyne detection
    Averaged coherent mixing efficiency of wavelet fractal interpolation method based on different wavelet functions
    Experimental device of adaptive optical system
    Wavelet decomposition. (a) Low frequency component; (b) high frequency horizontal component; (c) high frequency vertical component; (d) high frequency diagonal component
    Noise contrast. (a) Pixels with noise; (b) pixels with denoised processing
    Before and after image correction. (a) Image before correction; (b) image after correction; (c) root-mean-square value of corrected residual wavefront
    Comparison before and after correction of far field spot. (a) Light intensity comparison of far-field spot; (b) slope curves after correction
    • Table 1. Comparison of coherent mixing efficiency of interpolation methods

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      Table 1. Comparison of coherent mixing efficiency of interpolation methods

      Methodγ
      SNR: 5 dBSNR: 10 dBSNR: 15 dBSNR: 20 dB
      Bilinear fractal interpolation base on MVE0.2780.6520.8400.916
      Cubic B fractal interpolation base on MVE0.2790.6670.8520.932
      Wavelet fractal interpolation base on MVE0.2840.6820.9150.968
      Proposed method0.2830.6800.9200.970
    • Table 2. Comparison between proposed method and MVE method

      View table

      Table 2. Comparison between proposed method and MVE method

      MethodTime complexitySpace complexity
      Average situationBest caseWorst caseAuxiliary storageRunning time /s
      MVEO(n)O(1)O[nlog(2n)]O(1)0.054
      Proposed methodO[log(2n)]O(1)O(n)O(1)0.021
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    Wang Haiqun, Wang Shuiman, Zhang Yi. Wavefront Distortion Correction Based on Wavelet Fractal Interpolation[J]. Laser & Optoelectronics Progress, 2020, 57(2): 21103

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    Paper Information

    Category: Imaging Systems

    Received: Jun. 11, 2019

    Accepted: --

    Published Online: Jan. 3, 2020

    The Author Email: Wang Shuiman (1615445294@qq.com)

    DOI:10.3788/LOP57.021103

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