Skip to main content
Log in

Underwater image dehazing and denoising via curvature variation regularization

  • Published:
Multimedia Tools and Applications Aims and scope Submit manuscript

Abstract

Challenges for underwater captured image processing often lie in images degraded with haze, noise and low contrast, caused by absorption and scattering of the light during propagation. In this paper, we aim to establish a novel total variation and curvature based approach that can properly deal with these problems to achieve dehazing and denoising simultaneously. Integration with the underwater image formation model is successfully realized by formulating the global background light and the transmission map derived from the improved dark channel prior and underwater red channel prior into our variational framework respectively. Moreover, the generated non-smooth optimization problem is solved by the alternating direction method of multipliers (ADMM). Extensive experiments including real underwater image application tests and convergence curves display the significant gains of the proposed variational curvature model and developed ADMM  algorithm. Qualitative and quantitative comparisons with several state-of-the-art methods as well as four evaluation metrics are further conducted to quantify the improvements of our fusion approach.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  1. Ancuti CO, Ancuti C, Vleeschouwer CD, Bekaert P (2017) Color balance and fusion for underwater image enhancement. IEEE Trans Image Process 27(1):379–393

    MathSciNet  MATH  Google Scholar 

  2. Carlevaris-Bianco N, Mohan A, Eustice RM (2010) Initial results in underwater single image dehazing. OCEANS 2010. MTS/IEEE SEATTLE, Seattle, WA, pp. 1–8

  3. Chang H, Lou Y, Duan Y, Marchesini S (2018) Total variation--based phase retrieval for Poisson noise removal. SIAM J Imaging Sci 11(1):24–55

    MathSciNet  MATH  Google Scholar 

  4. Chiang J, Chen Y (2012) Underwater image enhancement by wavelength compensation and dehazing. IEEE Trans Image Process 21(4):1756–1769

    MathSciNet  MATH  Google Scholar 

  5. Choi LK, You J, Bovik AC (2015) Referenceless prediction of perceptual fog density and perceptual image defogging. IEEE Trans Image Process 24(11):3888–3901

    MathSciNet  MATH  Google Scholar 

  6. Duan J, Pan Z, Zhang B, Liu W, Tai X (2015) Fast algorithm for color texture image inpainting using the non-local CTV model. J Glob Optim 62(4):853–876

    MathSciNet  MATH  Google Scholar 

  7. Duan J, Tench C, Gottlob I, Proudlock F, Bai L (2017) Automated segmentation of retinal layers from optical coherent tomography images using geodesic distance. Pattern Recogn 72:158–175

    Google Scholar 

  8. Fang F, Fang L, Zeng T (2014) Single image dehazing and denoising: a fast variational approach. SIAM J Imaging Sci 7(2):969–996

    MathSciNet  MATH  Google Scholar 

  9. Fang Y, Ma K, Wang Z, Lin W, Fang Z, Zhai G (2015) No-reference quality assessment of contrast-distorted images based on natural scene statistics. IEEE Signal Process Lett 22(7):838–842

    Google Scholar 

  10. Fu X, Liao Y, Zeng D, Huang Y, Zhang X, Ding X (2015) A probabilistic method for image enhancement with simultaneous illumination and reflectance estimation. IEEE Trans Image Process 24(12):4965–4977

    MathSciNet  MATH  Google Scholar 

  11. Galdran A, Pardo D, Picón A, Alvarez-Gila A (2015) Automatic red-channel underwater image restoration. J Vis Commun Image Represent 26:132–145

    Google Scholar 

  12. Galdran A, Vazquezcorral J, Pardo D, Bertalmio M (2017) Fusion-based variational image dehazing. IEEE Signal Process Lett 24(2):151–155

    Google Scholar 

  13. Gordon HR (1989) Can the lambert-beer law be applied to the diffuse attenuation coefficient of ocean water? Limnol Oceanogr 34(8):1389–1409

    Google Scholar 

  14. Gould RW, Arnone RA, Martinolich PM (1999) Spectral dependence of the scattering coefficient in case 1 and case 2 waters. Appl Opt 38(12):2377–2383

    Google Scholar 

  15. Guo Q, Xue L, Tang R, Guo L (2017) Underwater image enhancement based on the dark channel prior and attenuation compensation. J Ocean Univ China 16(5):757–765

    Google Scholar 

  16. He K, Jian S, Tang X (2011) Single image haze removal using dark channel prior. IEEE Trans Pattern Anal Mach Intell 33(12):2341–2353

    Google Scholar 

  17. Hou G, Pan Z, Huang B, Wang G, Luan X (2018) Hue preserving-based approach for underwater colour image enhancement. IET Image Process 12(2):292–298

    Google Scholar 

  18. Hou G, Pan H, Huang B, Wang G, Wei W, Pan Z (2018) Efficient L-1-based nonlocal total variational model of Retinex for image restoration. J Electron Imaging 27(5):051207

    Google Scholar 

  19. Hou G, Pan Z, Wang G, Yang H, Duan J (2019) An efficient nonlocal variational method with application to underwater image restoration. Neurocomputing 369:106–121

    Google Scholar 

  20. Hou G, Li J, Wang G et al (2020) A novel Dark Channel prior guided Variational framework for underwater image restoration. J Vis Commun Image Represent 66:102732

  21. Jaffe JS (1990) Computer modeling and the design of optimal underwater imaging systems. IEEE J Ocean Eng 15(2):101–111

    Google Scholar 

  22. Kim JH, Jang W, Sim JY, Kim CS (2013) Optimized contrast enhancement for real-time image and video dehazing. J Vis Commun Image Represent 24(3):410–425

    Google Scholar 

  23. Kimmel R, Elad M, Shaked D, Keshet R, Sobel I (2003) A variational framework for retinex. Int J Comput Vis 52(1):7–23

    MATH  Google Scholar 

  24. Kumar N, Sardana HK, Shome SN (2018) Saliency based shape extraction of objects in unconstrained underwater environment. Multimedia tools and applications 1-19

  25. Li C, Guo J, Cong R, Pang Y, Wang B (2016) Underwater image enhancement by dehazing with minimum information loss and histogram distribution prior. IEEE Trans Image Process 25(12):5664–5677

    MathSciNet  MATH  Google Scholar 

  26. Li X, Yang Z, Shang M, Hao J (2016) Underwater image enhancement via dark channel prior and luminance adjustment. OCEANS 2016 - Shanghai, pp. 1-5.

  27. Liu X, Zhang H, Cheung Y, You X, Tang Y (2017) Efficient single image dehazing and denoising: an efficient multi-scale correlated wavelet approach. Comput Vis Image Underst 162:23–33

    Google Scholar 

  28. Lu J, Wang G, Pan Z (2017) Nonlocal active contour model for texture segmentation. Multimed Tools Appl 76(8):10991–11001

    Google Scholar 

  29. Marques TP, Albu AB, Hoeberechts M (2018) Enhancement of low-lighting underwater images using dark channel prior and fast guided filters. International conference on pattern recognition. Springer, Cham

    Google Scholar 

  30. Mcglamery BL (1979) A computer model for underwater camera systems. Proceedings of the SPIE 208:221–231

    Google Scholar 

  31. Panetta K, Gao C, Agaian S (2013) No reference color image contrast and quality measures. IEEE Trans Consum Electron 59(3):643–651

    Google Scholar 

  32. Peng Y, Cosman PC (2017) Underwater image restoration based on image blurriness and light absorption. IEEE Trans Image Process 26(4):1579–1594

    MathSciNet  MATH  Google Scholar 

  33. Rizzini DL, Kallasi F, Oleari F, Caselli S (2015) Investigation of vision-based underwater object detection with multiple datasets. Int J Adv Robot Syst 12(6)

  34. Rudin LI, Osher S, Fatemi E (1992) Nonlinear total variation based noise removal algorithms. Physica D 60(1–4):259–268

    MathSciNet  MATH  Google Scholar 

  35. Schechner YY, Karpel N (2005) Recovery of underwater visibility and structure by polarization analysis. IEEE J Ocean Eng 30(3):570–587

    Google Scholar 

  36. Shu Q, Wu C, Zhong Q, Liu R (2018) Total generalized variation-regularized variational model for single image dehazing. In: 9th international conference on graphic and image processing (ICGIP 2017), 10615, 106152M

  37. Surya Prasath VB, Kalavathi P (2016) Mixed noise removal using hybrid fourth order mean curvature motion. Advances in Signal Processing and Intelligent Recognition Systems 425:625–632

    Google Scholar 

  38. Tan L, Liu W, Pan Z (2018) Color image restoration and Inpainting via Multi-Channel Total curvature. Appl Math Model 61:280–299

    MathSciNet  MATH  Google Scholar 

  39. Tan L, Pan Z, Liu W (2018) Image segmentation with depth information via simplified Variational level set formulation. J Math Imaging Vis 60(1):1–17

    MathSciNet  MATH  Google Scholar 

  40. Tikhonov AN (1963) Regularization of incorrectly posed problems. Soviet Math Dokl 4(6):1624–1627

    MATH  Google Scholar 

  41. Wang G, Lu J, Pan Z, Miao Q (2017) Color texture segmentation based on active contour model with multichannel nonlocal and Tikhonov regularization. Multimed Tools Appl 76(22):24515–24526

  42. Wang Z, Hou G, Pan Z et al (2018) Single image dehazing and denoising combining dark channel prior and variational models. IET Comput Vis 12(4):393–402

    Google Scholar 

  43. Wang G, Pan Z, Zhang Z (2019) Deep CNN Denoiser prior for multiplicative noise removal. Multimed Tools Appl 78(20):29007–29019

    Google Scholar 

  44. Wen H, Tian Y, Huang T, Gao W (2013) Single underwater image enhancement with a new optical model. 2013 IEEE international symposium on circuits and systems (ISCAS2013). IEEE.

  45. Wu Q, Li Y, Lin Y (2017) The application of nonlocal total variation in image denoising for mobile transmission. Multimed Tools Appl 27(16):17179–17191

    Google Scholar 

  46. Yang M, Sowmya A (2015) An underwater color image quality evaluation metric. IEEE Trans Image Process 24(12):6062–6071

    MathSciNet  MATH  Google Scholar 

  47. Zhang Y, Ben Hamza A (2007) Vertex-based diffusion for 3-D mesh Denoising. IEEE Trans Image Process 16(4):1036–1045

    MathSciNet  Google Scholar 

  48. Zhang H, Yu J, Wang Z (2018) Probability contour guided depth map inpainting and superresolution using non-local total generalized variation. Multimed Tools Appl 77(7):9003–9020

    Google Scholar 

  49. Zhu W, Tai X, Tony C (2013) Augmented Lagrangian method for a mean curvature based image denoising model. Inverse Problems & Imaging 7(4):1409–1432

    MathSciNet  MATH  Google Scholar 

Download references

Acknowledgements

The research work is partially supported by National Natural Science Foundation of China (No. 61901240), China Scholarship Council (No. 201908370002), the Natural Science Foundation of Shandong Province, China (No. ZR2019BF042), and the China Postdoctoral Science Foundation (No. 2017M612204). The first author would like to thank Lu Tan for doing many researches about variational method based on image analysis, also thank Xiangjun Du, Yi Zhao, and Xiaopeng Wang, who work in the experimental teaching centre for providing us with the experimental platform.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Guojia Hou.

Additional information

Publisher’s note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hou, G., Li, J., Wang, G. et al. Underwater image dehazing and denoising via curvature variation regularization. Multimed Tools Appl 79, 20199–20219 (2020). https://doi.org/10.1007/s11042-020-08759-z

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11042-020-08759-z

Keywords

Navigation