Laser & Optoelectronics Progress, Volume. 58, Issue 22, 2228001(2021)

Image Restoration Algorithm Based on Quadratic Constraint and Haze Distribution

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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    Figures & Tables(13)
    Real hazy images and their haze distribution. (a) Hazy images; (b) hazy distribution maps
    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
    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
    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
    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
    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
    • Table 1. MSE index

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      Table 1. MSE index

      Image No.Image 1Image 2Image 3Image 4Image 5
      MSE0.00170.00390.00140.00210.0022
    • Table 2. Index comparison among methods for real hazy images

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      Table 2. Index comparison among methods for real hazy images

      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 3. Index comparison among methods for images in test set

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      Table 3. Index comparison among methods for images in test set

      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
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    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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    Paper Information

    Category: Remote Sensing and Sensors

    Received: Dec. 4, 2020

    Accepted: Jan. 21, 2021

    Published Online: Nov. 10, 2021

    The Author Email: Wenjuan Jia (1473513328@qq.com)

    DOI:10.3788/LOP202158.2228001

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