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Mohaoui, Souad, Hakim, Abdelilah, Raghay, Said. (1399). A combined dictionary learning and TV model for image restoration with convergence analysis. فیزیولوژی و بیوتکنولوژی آبزیان, 9(1), 13-30. doi: 10.22124/jmm.2020.15408.1369
Souad Mohaoui; Abdelilah Hakim; Said Raghay. "A combined dictionary learning and TV model for image restoration with convergence analysis". فیزیولوژی و بیوتکنولوژی آبزیان, 9, 1, 1399, 13-30. doi: 10.22124/jmm.2020.15408.1369
Mohaoui, Souad, Hakim, Abdelilah, Raghay, Said. (1399). 'A combined dictionary learning and TV model for image restoration with convergence analysis', فیزیولوژی و بیوتکنولوژی آبزیان, 9(1), pp. 13-30. doi: 10.22124/jmm.2020.15408.1369
Mohaoui, Souad, Hakim, Abdelilah, Raghay, Said. A combined dictionary learning and TV model for image restoration with convergence analysis. فیزیولوژی و بیوتکنولوژی آبزیان, 1399; 9(1): 13-30. doi: 10.22124/jmm.2020.15408.1369

A combined dictionary learning and TV model for image restoration with convergence analysis

Journal of Mathematical Modeling
دوره 9، شماره 1، فروردین 2021، صفحه 13-30    اصل مقاله (574.53 K)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.22124/jmm.2020.15408.1369
نویسندگان
Souad Mohaoui* 1؛ Abdelilah Hakim2؛ Said Raghay2
1Department of mathematics, University of Cadi Ayad, Marrakesh, Morocco
2Department of mathematics, University of Cadi Ayad, Marrakesh, Morocco
چکیده
We consider in this paper the $l_0$-norm based dictionary learning approach combined with total variation regularization for the image restoration problem. It is formulated as a nonconvex nonsmooth optimization problem. Despite that this image restoration model has been proposed in many works, it remains important to ensure that the considered minimization method satisfies the global convergence property, which is the main objective of this work. Therefore, we employ the proximal alternating linearized minimization method whereby we demonstrate the global convergence of the generated sequence to a critical point. The results of several experiments demonstrate the performance of the proposed algorithm for image restoration.
کلیدواژه‌ها
Image deblurring؛ dictionary learning؛ sparse approximation؛ total variation؛ proximal methods؛ nonconvex optimization
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