Image denoising by random walk with restart Kernel and non-subsampled contourlet transform

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Image denoising by random walk with restart Kernel and non-subsampled contourlet transform

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To address the drawbacks of continuous partial differential equations, a diffusion method based on spectral graph theory and random walk with restart kernel is proposed, which uses non-subsampled contourlet transform to capture the geometric feature of image. Specifically, a new graph weighting function is constructed based on the geometric feature. Moreover, a second-order random walk with restart kernel was generated. The derivation shows that the proposed method is equivalent to the denoising methods based on partial differential equations. The simulation results demonstrate that the proposed method can effectively reduce Gaussian noise and preserve image edge with superior performance compared with other graph-based partial differential equation methods.

Inspec keywords: partial differential equations; graph theory; Gaussian noise; image denoising

Other keywords: image denoising; diffusion method; second-order random walk; continuous partial differential equations; random walk; spectral graph theory; graph weighting function; image geometric feature; Gaussian noise; image edge preservation; restart Kernel; nonsubsampled contourlet transform; denoising methods; graph-based partial differential equation methods

Subjects: Mathematical analysis; Mathematical analysis; Optical, image and video signal processing; Other topics in statistics; Combinatorial mathematics; Computer vision and image processing techniques; Other topics in statistics; Combinatorial mathematics

References

    1. 1)
      • J. Weickert . (1998) Anisotropic diffusion in image processing.
    2. 2)
    3. 3)
    4. 4)
    5. 5)
    6. 6)
    7. 7)
      • F. Chung . (1994) Spectral graph theory.
    8. 8)
    9. 9)
    10. 10)
      • G. Sapiro . (2001) Geometric partial differential equations and image analysis.
    11. 11)
    12. 12)
    13. 13)
    14. 14)
    15. 15)
    16. 16)
    17. 17)
      • Smola, A.J., Kondor, R.: `Kernels and regularization on graphs', The Seventh Workshop on Kernel Machines, Washington, 2003.
    18. 18)
    19. 19)
      • Aja-Fernández, S., Estépar, R.S., Alberola-López, C., Westin, C.F.: `Image quality assessment based on local variance', Proc. 28th IEEE EMBC, 2006, New York, USA, p. 4815–4818.
    20. 20)
    21. 21)
    22. 22)
      • Witkin, A.P.: `Scale-space filtering', Proc. Eighth Int. Joint Conf. Artificial Intelligence, 1983, San Francisco, CA, USA, p. 1019–1021.
    23. 23)
    24. 24)
    25. 25)
    26. 26)
      • Kim, T.H., Lee, K.M., Lee, S.U.: `Generative image segmentation using random walks with restart', Proc. 10th European Conf. Computer Vision, 2008, Marseille, France.
    27. 27)
    28. 28)
    29. 29)
    30. 30)
    31. 31)
      • Pan, J.Y., Yang, H.J., Faloutsoc, C.: `Automatic multimedia crossmodal correlation discovery', Proc. Tenth ACM SIGKDD Conf., 2004, Seattle, WA.
    32. 32)
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