• Laser & Optoelectronics Progress
  • Vol. 58, Issue 22, 2228001 (2021)
Huawei Zhang, Wenjuan Jia*, Jinlong Zhang, and Panfeng Li
Author Affiliations
  • School of Electronics and Information Engineering, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, China
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    DOI: 10.3788/LOP202158.2228001 Cite this Article Set citation alerts
    Huawei Zhang, Wenjuan Jia, Jinlong Zhang, Panfeng Li. Image Restoration Algorithm Based on Quadratic Constraint and Haze Distribution[J]. Laser & Optoelectronics Progress, 2021, 58(22): 2228001 Copy Citation Text show less
    Real hazy images and their haze distribution. (a) Hazy images; (b) hazy distribution maps
    Fig. 1. Real hazy images and their haze distribution. (a) Hazy images; (b) hazy distribution maps
    Quadratic functions with different coefficients
    Fig. 2. Quadratic functions with different coefficients
    Comparison among minimum channels. (a) Hazy images in test set; (b) standard minimum channels in test set; (c) our minimum channels
    Fig. 3. Comparison among minimum channels. (a) Hazy images in test set; (b) standard minimum channels in test set; (c) our minimum channels
    Transmittance comparison. (a) Hazy images; (b) method in Ref. [5]; (c) method in Ref. [7]; (d) our method
    Fig. 4. Transmittance comparison. (a) Hazy images; (b) method in Ref. [5]; (c) method in Ref. [7]; (d) our method
    Comparison between atmospheric light images as well as that between dehazing images. (a) Hazy image; (b) local atmospheric light image in Ref. [19]; (c) result in Ref. [19]; (d) atmospheric light image proposed here; (e) result proposed here
    Fig. 5. Comparison between atmospheric light images as well as that between dehazing images. (a) Hazy image; (b) local atmospheric light image in Ref. [19]; (c) result in Ref. [19]; (d) atmospheric light image proposed here; (e) result proposed here
    Schematic of overall dehazing proposed here. (a) Hazy image; (b) minimum channel of hazy image; (c) minimum channel of clear image; (d) transmittance; (e) luminance component; (f) morphologically processed luminance component; (g) improved local atmospheric light; (h) restoration result
    Fig. 6. Schematic of overall dehazing proposed here. (a) Hazy image; (b) minimum channel of hazy image; (c) minimum channel of clear image; (d) transmittance; (e) luminance component; (f) morphologically processed luminance component; (g) improved local atmospheric light; (h) restoration result
    Block diagram of proposed algorithm
    Fig. 7. Block diagram of proposed algorithm
    Restoration results of hazy images with sky areas. (a) Hazy images; (b) results by He et al; (c) results by Meng et al; (d) results by Yang et al; (e) results by Cai et al; (f) results by Ren et al; (g) our results
    Fig. 8. Restoration results of hazy images with sky areas. (a) Hazy images; (b) results by He et al; (c) results by Meng et al; (d) results by Yang et al; (e) results by Cai et al; (f) results by Ren et al; (g) our results
    Restoration results of hazy images without sky areas. (a) Hazy images; (b) results by He et al; (c) results by Meng et al; (d) results by Yang et al; (e) results by Cai et al; (f) results by Ren et al; (g) our results
    Fig. 9. Restoration results of hazy images without sky areas. (a) Hazy images; (b) results by He et al; (c) results by Meng et al; (d) results by Yang et al; (e) results by Cai et al; (f) results by Ren et al; (g) our results
    Comparison among restoration results in test set. (a) Hazy images; (b) results by He et al; (c) results by Yang et al; (d) results by Cai et al; (e) results by Ren et al; (f) our results; (g) real dehazed images
    Fig. 10. Comparison among restoration results in test set. (a) Hazy images; (b) results by He et al; (c) results by Yang et al; (d) results by Cai et al; (e) results by Ren et al; (f) our results; (g) real dehazed images
    Image No.Image 1Image 2Image 3Image 4Image 5
    MSE0.00170.00390.00140.00210.0022
    Table 1. MSE index
    IndexMethod in Ref. [5]Method in Ref. [7]Method in Ref. [8]Method in Ref. [14]Method in Ref. [15]Our method
    e0.21100.18010.22470.18640.18790.2314
    r1.34731.22491.35781.33481.34091.3613
    σ0.00480.15900.00220.00360.00290.0022
    t /s2.21642.87642.17072.41002.46362.1979
    Table 2. Index comparison among methods for real hazy images
    IndexMethod in Ref. [5]Method in Ref. [8]Method in Ref. [14]Method in Ref. [15]Our method
    PSNR18.970620.614620.363320.474220.6179
    SSIM0.89740.95780.94790.95180.9693
    Table 3. Index comparison among methods for images in test set
    Huawei Zhang, Wenjuan Jia, Jinlong Zhang, Panfeng Li. Image Restoration Algorithm Based on Quadratic Constraint and Haze Distribution[J]. Laser & Optoelectronics Progress, 2021, 58(22): 2228001
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