• Laser & Optoelectronics Progress
  • Vol. 57, Issue 2, 21103 (2020)
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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    DOI: 10.3788/LOP57.021103 Cite this Article Set citation alerts
    Wang Haiqun, Wang Shuiman, Zhang Yi. Wavefront Distortion Correction Based on Wavelet Fractal Interpolation[J]. Laser & Optoelectronics Progress, 2020, 57(2): 21103 Copy Citation Text show less
    Averaged coherent mixing efficiency of homodyne detection
    Fig. 1. Averaged coherent mixing efficiency of homodyne detection
    Averaged coherent mixing efficiency of wavelet fractal interpolation method based on different wavelet functions
    Fig. 2. Averaged coherent mixing efficiency of wavelet fractal interpolation method based on different wavelet functions
    Experimental device of adaptive optical system
    Fig. 3. 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
    Fig. 4. 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
    Fig. 5. 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
    Fig. 6. 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
    Fig. 7. Comparison before and after correction of far field spot. (a) Light intensity comparison of far-field spot; (b) slope curves after correction
    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 1. Comparison of coherent mixing efficiency of interpolation methods
    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
    Table 2. Comparison between proposed method and MVE method
    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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