A non-convex non-smooth bi-level parameter learning for impulse and Gaussian noise mixture removing.

Autor: Nachaoui, Mourad, Afraites, Lekbir, Hadri, Aissam, Laghrib, Amine
Předmět:
Zdroj: Communications on Pure & Applied Analysis; Apr2022, Vol. 21 Issue 4, p1249-1291, 43p
Abstrakt: This paper introduce a novel optimization procedure to reduce mixture of Gaussian and impulse noise from images. This technique exploits a non-convex PDE-constrained characterized by a fractional-order operator. The used non-convex term facilitated the impulse component approximation controlled by a spatial parameter γ. A non-convex and non-smooth bi-level optimization framework with a modified projected gradient algorithm is then proposed in order to learn the parameter γ. Denoising tests confirm that the non-convex term and learned parameter γ lead in general to an improved reconstruction when compared to results of convex norm and manual parameter λ choice. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index