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    Color image recovery using generalized matrix completion over higher-order finite dimensional algebra

    Liao, L. and Guo, Z. and Gao, Qi and WANG, Y. and Yu, F. and Zhao, Q. and Maybank, Stephen and Liu, Z. and Li, C. and Li, L. (2023) Color image recovery using generalized matrix completion over higher-order finite dimensional algebra. Axioms 12 (10), pp. 954-976. ISSN 2075-1680.

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    To improve the accuracy of color image completion with missing entries, we present a recovery method based on generalized higher-order scalars. We extend the traditional second-order matrix model to a more comprehensive higher-order matrix equivalent, called the "t-matrix" model, which incorporates a pixel neighbourhood expansion strategy to characterize the local pixel constraints. This "t-matrix" is then used to extend some commonly used matrix and tensor completion algorithms to their higher-order versions. We perform extensive experiments on various algorithms using simulated data and publicly available images. The results show that our generalized matrix completion model and the corresponding algorithm compare favourably with their lower-order tensor and conventional matrix counterparts.


    Item Type: Article
    Keyword(s) / Subject(s): higher-order tensor completion, pixel neighborhood strategy, generalized matrix model, low rank, finite-dimensional algebra, convex optimization
    School: Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
    Depositing User: Steve Maybank
    Date Deposited: 30 Oct 2023 16:31
    Last Modified: 31 Oct 2023 04:29


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