• Photonics Research
  • Vol. 12, Issue 8, 1640 (2024)
Yifu Zhou1,2, Hanyue Wei1,2, Jian Liang1,2, Feiya Ma1,2..., Rui Yang1,2, Liyong Ren1,2,3,* and Xuelong Li4,5|Show fewer author(s)
Author Affiliations
  • 1School of Physics and Information Technology, Shaanxi Normal University, Xi’an 710119, China
  • 2Xi’an Key Laboratory of Optical Information Manipulation and Augmentation (OMA), Xi’an 710119, China
  • 3Robust (Xixian New Area) Opto-Electro Technologies Co., Ltd., Xi’an 712000, China
  • 4Institute of Artificial Intelligence (TeleAI), China Telecom Corp Ltd., Beijing 100033, China
  • 5e-mail: xuelong_li@ieee.org
  • show less
    DOI: 10.1364/PRJ.522370 Cite this Article Set citation alerts
    Yifu Zhou, Hanyue Wei, Jian Liang, Feiya Ma, Rui Yang, Liyong Ren, Xuelong Li, "Robust polarimetric dehazing algorithm based on low-rank approximation and multiple virtual-exposure fusion," Photonics Res. 12, 1640 (2024) Copy Citation Text show less
    Diagram of the optical degradation model.
    Fig. 1. Diagram of the optical degradation model.
    (a) Flow chart of the construction of M; (b) flow chart of the calculation of Iu.
    Fig. 2. (a) Flow chart of the construction of M; (b) flow chart of the calculation of Iu.
    Flow chart of the exposure fusion.
    Fig. 3. Flow chart of the exposure fusion.
    Calculating four saturation threshold values of an HDR dehazed image.
    Fig. 4. Calculating four saturation threshold values of an HDR dehazed image.
    Generating a bracketed exposure sequence and fusing them into an SDR dehazed image.
    Fig. 5. Generating a bracketed exposure sequence and fusing them into an SDR dehazed image.
    Flow chart of the proposed polarimetric dehazing algorithm.
    Fig. 6. Flow chart of the proposed polarimetric dehazing algorithm.
    Hazy images and corresponding dehazed results.
    Fig. 7. Hazy images and corresponding dehazed results.
    (a) Sky area of images of the experimental group (c); (b) pylon in images of the experimental group (a); (c) pylon in images of the experimental group (e).
    Fig. 8. (a) Sky area of images of the experimental group (c); (b) pylon in images of the experimental group (a); (c) pylon in images of the experimental group (e).
    (a) Hazy image; (b) estimated DoLP by the low-rank approximation method; (c) estimated DoLP by the Stokes method; (d) dehazed image based on DoLP shown in (b); (e) dehazed image based on DoLP shown in (c); (f)–(i) local views corresponding to (b)–(e), respectively.
    Fig. 9. (a) Hazy image; (b) estimated DoLP by the low-rank approximation method; (c) estimated DoLP by the Stokes method; (d) dehazed image based on DoLP shown in (b); (e) dehazed image based on DoLP shown in (c); (f)–(i) local views corresponding to (b)–(e), respectively.
    (a) Estimated intensity map of scattering light based on estimated DoLP by low-rank approximation method; (b) estimated intensity map of scattering light based on estimated DoLP by the Stokes method; (c), (d) local views corresponding to (a), (b), respectively; (e) intensity curves of pixels on the line of y=400 in (a) and (b).
    Fig. 10. (a) Estimated intensity map of scattering light based on estimated DoLP by low-rank approximation method; (b) estimated intensity map of scattering light based on estimated DoLP by the Stokes method; (c), (d) local views corresponding to (a), (b), respectively; (e) intensity curves of pixels on the line of y=400 in (a) and (b).
    (a) Hazy image; (b) HDR dehazed image; (c) SDR dehazed image by the MVEF; (d)–(g) SDR dehazed images by the gamma correction with different values of γ.
    Fig. 11. (a) Hazy image; (b) HDR dehazed image; (c) SDR dehazed image by the MVEF; (d)–(g) SDR dehazed images by the gamma correction with different values of γ.
    Standard variances of images shown in Fig. 11.
    Fig. 12. Standard variances of images shown in Fig. 11.
    Hazy images and corresponding dehazed images by the proposed method and our previous method [17].
    Fig. 13. Hazy images and corresponding dehazed images by the proposed method and our previous method [17].
    (a) Hazy image; (b) denoised intensity map of scattering light by the low-rank approximation method; (c) denoised intensity map of scattering light by the low-pass filtering method; (d) dehazed image based on DoLP shown in (b); (e) dehazed image based on DoLP shown in (c); (f), (g) local views corresponding to (d) and (e), respectively.
    Fig. 14. (a) Hazy image; (b) denoised intensity map of scattering light by the low-rank approximation method; (c) denoised intensity map of scattering light by the low-pass filtering method; (d) dehazed image based on DoLP shown in (b); (e) dehazed image based on DoLP shown in (c); (f), (g) local views corresponding to (d) and (e), respectively.
    Local areas in hazy images and corresponding dehazed images shown in Fig. 13.
    Fig. 15. Local areas in hazy images and corresponding dehazed images shown in Fig. 13.
    GroupOriginal ImageProposedProposed without MVEFDark Channel Prior MethodSchechner’s Method
    Fig. 7(a)43.9970.8470.6653.5851.46
    Fig. 7(b)17.6156.6256.4540.8044.47
    Fig. 7(c)31.4865.8064.7245.2380.87
    Fig. 7(d)20.8241.3241.6935.2826.97
    Fig. 7(e)28.0771.9955.7054.1062.39
    Fig. 7(f)16.0956.2534.9026.0635.63
    Fig. 7(g)21.5554.4540.1952.5035.28
    Table 1. Standard Variances of Dehazing Results
    GroupOriginal ImageProposedProposed without MVEFDark Channel Prior MethodSchechner’s Method
    Fig. 7(a)7.247.817.947.677.50
    Fig. 7(b)6.147.607.567.237.40
    Fig. 7(c)6.897.607.777.417.41
    Fig. 7(d)6.307.347.236.986.74
    Fig. 7(e)6.677.586.927.637.58
    Fig. 7(f)5.797.716.616.366.89
    Fig. 7(g)6.417.626.697.577.10
    Table 2. Information Entropies of Dehazing Results
    GroupOriginal ImageProposedProposed without MVEFDark Channel Prior MethodSchechner’s Method
    Fig. 7(a)5.303.443.473.813.60
    Fig. 7(b)6.352.853.003.674.06
    Fig. 7(c)5.993.613.523.653.71
    Fig. 7(d)7.984.364.744.634.99
    Fig. 7(e)7.293.733.554.284.58
    Fig. 7(f)6.864.044.594.054.46
    Fig. 7(g)6.434.104.673.744.33
    Table 3. NIQE Scores of Dehazing Results
    GroupOriginal ImageProposedProposed without MVEFDark Channel Prior MethodSchechner’s Method
    Fig. 7(a)36.6810.7119.1424.427.95
    Fig. 7(b)43.0117.9319.1626.7519.24
    Fig. 7(c)33.4213.6814.0626.2630.60
    Fig. 7(d)28.4016.597.4626.0523.03
    Fig. 7(e)41.9624.2519.0637.4729.20
    Fig. 7(f)34.8017.859.729.224.46
    Fig. 7(g)25.5310.3911.8213.0012.94
    Table 4. PIQE Scores of Dehazing Results
    Yifu Zhou, Hanyue Wei, Jian Liang, Feiya Ma, Rui Yang, Liyong Ren, Xuelong Li, "Robust polarimetric dehazing algorithm based on low-rank approximation and multiple virtual-exposure fusion," Photonics Res. 12, 1640 (2024)
    Download Citation