Fractional-Order Total Variation Image Restoration Based on Primal-Dual Algorithm

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Chen, Dali; Chen, YangQuan; Xue, Dingyu;

This paper proposes a fractional-order total variation image denoising algorithm based on the primal-dual method, which provides a much more elegant and effective way of treating problems of the algorithm implementation, ill-posed inverse, convergence rate, and blocky e... View more
  • References (33)
    33 references, page 1 of 4

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

    Aujol, J.-F.. Some first-order algorithms for total variation based image restoration. Journal of Mathematical Imaging and Vision. 2009; 34 (3): 307-327

    Vogel, C., Oman, M.. Fast, robust total variation-based reconstruction of noisy, blurred images. IEEE Transactions on Image Processing. 1998; 7 (6): 813-824

    Alter, F., Durand, S., Froment, J.. Adapted total variation for artifact free decompression of JPEG images. Journal of Mathematical Imaging and Vision. 2005; 23 (2): 199-211

    Li, F., Shen, C., Li, C.. Multiphase soft segmentation with total variation and H1 regularization. Journal of Mathematical Imaging and Vision. 2010; 37 (2): 98-111

    Zhang, J., Wei, Z., Xiao, L.. Adaptive fractional-order multi-scale method for image denoising. Journal of Mathematical Imaging and Vision. 2012; 43 (1): 39-49

    You, Y. L., Kaveh, M.. Fourth-order partial differential equations for noise removal. IEEE Transactions on Image Processing. 2000; 9 (10): 1723-1730

    Hajiaboli, M.. A self-governing fourth-order nonlinear diffusion filter for image noise removal. IPSJ Transactions on Computer Vision and Applications. 2010; 2: 94-103

    Herrmann, R.. Fractional Calculus: An Introduction for Physicists. 2011

    Liu, S.-C., Chang, S.. Dimension estimation of discrete-time fractional Brownian motion with applications to image texture classification. IEEE Transactions on Image Processing. 1997; 6 (8): 1176-1184

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