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  • A POCS-based Constrained Total Least Squares Algorithm for Image Restoration

    Author(s)
    Gan, Xiangchao
    Liew, Alan Wee-Chung
    Yan, Hong
    Griffith University Author(s)
    Liew, Alan Wee-Chung
    Year published
    2006
    Metadata
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    Abstract
    In image restoration, the region of support of the point spread function is often much smaller than the size of the observed degraded image and this property is utilized in many image deconvolution algorithms. For the constrained total least squares (CTLS)-based algorithm, it means that the solution of the CTLS algorithm should retain the block-circulant and sparse structure of the degradation matrix simultaneously. In real image restoration problems, the CTLS method often involves large-scale computation and is often solved using Mesarovic et al.'s algorithm. However, there is concern about whether their algorithm preserves ...
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    In image restoration, the region of support of the point spread function is often much smaller than the size of the observed degraded image and this property is utilized in many image deconvolution algorithms. For the constrained total least squares (CTLS)-based algorithm, it means that the solution of the CTLS algorithm should retain the block-circulant and sparse structure of the degradation matrix simultaneously. In real image restoration problems, the CTLS method often involves large-scale computation and is often solved using Mesarovic et al.'s algorithm. However, there is concern about whether their algorithm preserves the sparse structure of the degradation matrix. In this paper, we prove that by imposing an extra constraint, the sparse structure in their algorithm can be preserved. Then, we use the projection onto convex sets algorithm to find a solution to this extended formulation. Our experimental study indicates that the proposed method performs competitively, and often better, in terms of visual and objective evaluations.
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    Journal Title
    Journal of Visual Communication and Image Representation
    Volume
    17
    Issue
    5
    Publisher URI
    http://www.sciencedirect.com/science/journal/10473203
    DOI
    https://doi.org/10.1016/j.jvcir.2006.02.002
    Subject
    Artificial Intelligence and Image Processing
    Design Practice and Management
    Visual Arts and Crafts
    Publication URI
    http://hdl.handle.net/10072/21793
    Collection
    • Journal articles

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