Low-Rank Regularized Convex-Non-Convex Problems for Image Segmentation or Completion
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912559060221952 |
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| author | Guide, Mohamed El Hachimi, Anas El Jbilou, Khalide Reichel, Lothar |
| author_facet | Guide, Mohamed El Hachimi, Anas El Jbilou, Khalide Reichel, Lothar |
| contents | This work proposes a novel convex-non-convex formulation of the image segmentation and the image completion problems. The proposed approach is based on the minimization of a functional involving two distinct regularization terms: one promotes low-rank structure in the solution, while the other one enforces smoothness. To solve the resulting optimization problem, we employ the alternating direction method of multipliers (ADMM). A detailed convergence analysis of the algorithm is provided, and the performance of the methods is demonstrated through a series of numerical experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_21765 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Low-Rank Regularized Convex-Non-Convex Problems for Image Segmentation or Completion Guide, Mohamed El Hachimi, Anas El Jbilou, Khalide Reichel, Lothar Numerical Analysis This work proposes a novel convex-non-convex formulation of the image segmentation and the image completion problems. The proposed approach is based on the minimization of a functional involving two distinct regularization terms: one promotes low-rank structure in the solution, while the other one enforces smoothness. To solve the resulting optimization problem, we employ the alternating direction method of multipliers (ADMM). A detailed convergence analysis of the algorithm is provided, and the performance of the methods is demonstrated through a series of numerical experiments. |
| title | Low-Rank Regularized Convex-Non-Convex Problems for Image Segmentation or Completion |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2508.21765 |