access icon openaccess Second-order PDE-based image restoration algorithm using directional diffusion

Variational and partial differential equation (PDE)-based algorithms have been widely applied in image restoration. However, it may produce undesirable staircase effect or blur image edges. To avoid these problems, a second-order PDE model based on directional diffusion has been proposed for image restoration. This model can just diffuse along the edge's tangential direction of the original image. Thus it can preserve the edges, avoid the staircase effect in the restored image. Visual and quantitative results demonstrate that the proposed second-order PDE model is superior to other models in preserving edges and avoiding staircase effect for image restoration.

Inspec keywords: partial differential equations; image restoration; edge detection

Other keywords: second-order PDE-based image restoration algorithm; blur image edges; directional diffusion; staircase effect; variational differential equation

Subjects: Mathematical analysis; Mathematical analysis; Optical, image and video signal processing; Computer vision and image processing techniques

References

    1. 1)
    2. 2)
    3. 3)
    4. 4)
    5. 5)
    6. 6)
    7. 7)
    8. 8)
    9. 9)
    10. 10)
    11. 11)
    12. 12)
    13. 13)
    14. 14)
      • 5. Xu, Y., Huang, T. Z., Liu, J., et al: ‘Split Bregman iteration algorithm for image deblurring using fourth-order total bounded variation regularization model’, J. Appl. Math., 2013, 2013, Article ID 238561, pp. 111, http://dx.doi.org/10.1155/2013/238561.
    15. 15)
    16. 16)
      • 9. Zhang, J., Liu, S., Xiong, R., et al: ‘Improved total variation based image compressive sensing recovery by nonlocal regularization’. Proc. IEEE Int. Symp. on Circuits and Systems (ISCAS), 2013, pp. 28362839.
    17. 17)
    18. 18)
    19. 19)
    20. 20)
      • 10. Xu, H., Sun, Q., Luo, N., et al: ‘Iterative nonlocal total variation regularization method for image restoration’, PloS One, 2013, 8, (6), Article ID e65865, pp. 110, https://doi.org/10.1371/journal.pone.0065865.
    21. 21)
    22. 22)
    23. 23)
    24. 24)
    25. 25)
    26. 26)
    27. 27)
http://iet.metastore.ingenta.com/content/journals/10.1049/joe.2017.0103
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