Manifold Based Low-rank Regularization for Image Restoration and Semi-supervised Learning

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Lai, Rongjie; Li, Jia;
  • Subject: Computer Science - Computer Vision and Pattern Recognition | 65D18, 65J22, 68U10, 68Q32 | Mathematics - Numerical Analysis

Low-rank structures play important role in recent advances of many problems in image science and data science. As a natural extension of low-rank structures for data with nonlinear structures, the concept of the low-dimensional manifold structure has been considered in ... View more
  • References (47)
    47 references, page 1 of 5

    [1] G. Aubert and P. Kornprobst, Mathematical problems in image processing: partial di erential equations and the calculus of variations, vol. 147, Springer Science and Business Media, 2006.

    [2] J. Bennett and S. Lanning, The Net ix prize, in Proceedings of KDD cup and workshop, vol. 2007, 2007, p. 35.

    [3] M. Bertalmio, G. Sapiro, V. Caselles, and C. Ballester, Image inpainting, (2000), pp. 417{ 424.

    [4] A. Buades, B. Coll, and J-M. Morel, A non-local algorithm for image denoising, in 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05), vol. 2, IEEE, 2005, pp. 60{65.

    [5] , Image enhancement by non-local reverse heat equation, Preprint CMLA, 22 (2006), p. 2006.

    [6] J.F. Cai, E.J. Candes, and Z. Shen, A Singular Value Thresholding Algorithm for Matrix Completion, SIAM Journal on Optimization, 20(4) (2010), pp. 1956{1982.

    [7] J.F. Cai, R.H. Chan, and Z. Shen, A framelet-based image inpainting algorithm, Applied and Computational Harmonic Analysis, 24 (2008), pp. 131{149.

    [8] J. F. Cai, R. H. Chan, and Z. Shen, Simultaneous cartoon and texture inpainting, Inverse Probl. Imaging, 4 (2010), pp. 379{395.

    [9] E. J. Candes and B. Recht., Exact matrix completion via convex optimization., Found. of Comput. Math., 9 (2008), pp. 717{772.

    [10] R.H. Chan, L. Shen, and Z. Shen, A framelet-based approach for image inpainting, Research Report, 4 (2005), p. 325.

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