arXiv Open Access 2025

Multigrid methods for total variation

Felipe Guerra Tuomo Valkonen

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Abstrak

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.

Topik & Kata Kunci

math.OC eess.IV math.NA

Penulis (2)

Felipe Guerra

Tuomo Valkonen

Format Sitasi

APA MLA BibTeX

Guerra, F., Valkonen, T. (2025). Multigrid methods for total variation. https://arxiv.org/abs/2502.18659

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓