Multigrid methods for total variation
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866916744917942272 |
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| author | Guerra, Felipe Valkonen, Tuomo |
| author_facet | Guerra, Felipe Valkonen, Tuomo |
| contents | Based on a nonsmooth coherence condition, we construct and prove the convergence of a forward-backward splitting method that alternates between steps on a fine and a coarse grid. Our focus is a total variation regularised inverse imaging problems, specifically, their dual problems, for which we develop in detail the relevant coarse-grid problems. We demonstrate the performance of our method on total variation denoising and magnetic resonance imaging. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_18659 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multigrid methods for total variation Guerra, Felipe Valkonen, Tuomo Optimization and Control Numerical Analysis Image and Video Processing Based on a nonsmooth coherence condition, we construct and prove the convergence of a forward-backward splitting method that alternates between steps on a fine and a coarse grid. Our focus is a total variation regularised inverse imaging problems, specifically, their dual problems, for which we develop in detail the relevant coarse-grid problems. We demonstrate the performance of our method on total variation denoising and magnetic resonance imaging. |
| title | Multigrid methods for total variation |
| topic | Optimization and Control Numerical Analysis Image and Video Processing |
| url | https://arxiv.org/abs/2502.18659 |