Fractional total variation denoising model with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si3.svg"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math> fidelity

نویسندگان

چکیده

We study a nonlocal version of the total variation-based model with L1 fidelity for image denoising, where regularizing term is replaced fractional s-total variation. discuss regularity level sets and uniqueness solutions, both high low values parameter. analyse in detail case binary data given by characteristic functions convex sets.

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ژورنال

عنوان ژورنال: Nonlinear Analysis-theory Methods & Applications

سال: 2022

ISSN: ['1873-5215', '0362-546X']

DOI: https://doi.org/10.1016/j.na.2022.112926