SP$^3$: Spherical Priors for Plug-and-Play Restoration

• URL: http://arxiv.org/abs/2606.16396v1
• Date: Mon, 15 Jun 2026 08:31:52 GMT
• Title: SP$^3$: Spherical Priors for Plug-and-Play Restoration
• Abstract summary: SP$3$ is a novel Plug-and-Play algorithm that accelerates a posteriori image restoration.<n>We show that SP$3$ achieves perceptual quality comparable to state-of-the-art zero-shot diffusion and flow methods.
• Score: 2.939891130492345
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this paper, we introduce SP$^3$, a novel Plug-and-Play algorithm that accelerates maximum a posteriori image restoration by replacing denoisers with Spherical Encoders (SE) as generative priors. SP$^3$ approximates the intractable proximal prior step by utilizing the SE tightly structured latent space as a robust projection onto the natural image manifold. Alternating this projection with a closed-form data-consistency step, via Half-Quadratic Splitting, achieves stable convergence without requiring gradient computation during inference. This unique formulation unlocks "anytime" restoration capabilities, producing sharp, plausible images from the first iteration. Evaluations across a variety of image restoration tasks demonstrate that SP$^3$ achieves perceptual quality comparable to state-of-the-art zero-shot diffusion and flow methods while being $3$-$630\times$ faster.

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