Algorithms and software for total variation image reconstruction via first-order methods

Joahim Dahl, Per Christian Hansen, Søren Holdt Jensen, Tobias Lindstrøm Jensen

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    This paper describes new algorithms and related software for total variation (TV) image reconstruction, more specifically: denoising, inpainting, and deblurring. The algorithms are based on one of Nesterov's first-order methods, tailored to the image processing applications in such a way that, except for the mandatory regularization parameter, the user needs not specify any parameters in the algorithms. The software is written in C with interface to Matlab (version 7.5 or later), and we demonstrate its performance and use with examples.
    Original languageEnglish
    JournalNumerical Algorithms
    Volume53
    Issue number1
    Pages (from-to)67-92
    ISSN1017-1398
    DOIs
    Publication statusPublished - 2010

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