Adaptive double-phase Rudin--Osher--Fatemi denoising model

arXiv:2510.04382 · eess.IV, cs.CV, cs.NA, math.NA · Submitted 2025-10-05 · Read on arXiv

eess.IV, cs.CV, cs.NA, math.NA

Submitted: 2025-10-05

Updated: 2026-09-22

Comments: 26 pages, 22 figures, 10 tables. Supplementary material available at: https://github.com/wojciechgorny/double-phase-ROF-model/

Project page: https://lucasplagwitz.github.io/recon

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Total Generalized Variation — 6× in this paper
• Regularization — 5× in this paper · explained in 3 episodes
• Interpretability — 3× in this paper · explained in 15 episodes
• Accuracy — 2× in this paper · explained in 1 episode
• Fidelity — 2× in this paper · explained in 2 episodes
• Initial Data — 2× in this paper · explained in 2 episodes
• Actor — 1× in this paper · explained in 3 episodes
• Gradient Flow — 1× in this paper · explained in 2 episodes

Sources

• Functions of bounded Musielak-Orlicz-type deformation and anisotropic Total Generalized Variation for image-denoising problems
• TVCondNet: A Conditional Denoising Neural Network for NMR Spectroscopy

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