Aug 2026· Journal of Mathematical Imaging and Vision· Vol 68· 2 citations· ⚡ 2 influential· 88 references
Computer Science
TL;DR
This work proposes two frameworks named Equivariant Regularization by Denoising (ERED) and Equivariant Plug-and-Play (EPnP) based on equivariant denoisers and stochastic optimization based on equivariant denoisers and stochastic optimization.
Plug-and-play (PnP) methods, which embed powerful image denoisers into classical optimization algorithms, have achieved remarkable performance on a variety of imaging inverse problems. However, most existing PnP frameworks impose regularization only in the spatial domain. In many practical settings, measurement noise i...
Wen-Jian Du, Jia Li· IEEE Transactions on Image P...· 0 citations
This work establishes convergence guarantees for a broad family of Plug-and-Play algorithms with annealed noise level, spanning deterministic methods (RED and PnP--PGD) and stochastic methods (SNORE, equivariant RED, and a variant of PnP--Flow) and proves asymptotic stationarity of the iterates with respect to this obj...
Real images often exhibit unknown and mixed degradations, making restoration substantially more challenging than single-task image restoration because multiple distortion types interact within the same observation. Consequently, existing methods often rely on prior knowledge of the degradation type or separate task-spe...
T. Nadeem, Arslan Majal, Muhammad Tahir et al.· IEEE Transactions on Instrum...· 0 citations
Pretrained denoisers provide a powerful way to incorporate image priors into restoration algorithms. Plug-and-Play and RED approaches exploit fixed-noise-level denoisers within first-order optimization schemes, with convergence guarantees, but often struggle to achieve high-quality reconstruction on severely ill-posed...
Alexandre Lagier, Valentine Tosel, Anne Gagneux et al.· 0 citations
PixRestore is presented, a VAE-free pixel-space Diffusion Transformer (DiT) for UIR, where the diffusion backbone is trained entirely from scratch, without relying on T2I pretraining.
Ling-Chen Sun, Rong-Yuan Wu, Xiang-Tao Kong et al.· 2 citations
In this work, we study a class of structured non-convex and non-smooth optimization problems arising in imaging applications, where the objective is the sum of three functions. We consider the Davis-Yin splitting method, a FISTA-type accelerated variant, along with a quasi-Newton line-search method and a plug-and-play...
Kuntal Roy, Pankaj Gautam· 0 citations
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