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  • Double phase image restoration
    Harjulehto, Petteri; Hästö, Peter

    Journal of mathematical analysis and applications, 09/2021, Volume: 501, Issue: 1
    Journal Article

    In this paper we explore the potential of the double phase functional in an image processing context. To this end, we study minimizers of the double phase energy for functions with bounded variation and show that this energy can be obtained by Γ-convergence or relaxation of regularized functionals. A central tool is a capped fractional maximal function of the derivative of BV functions.