Degradation-Aware Residual-Conditioned Optimal Transport for Unified Image Restoration

Xiaole Tang; Xiang Gu; Xiaoyi He; Xin Hu; Jian Sun

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arXiv · 2411.01656

Degradation-Aware Residual-Conditioned Optimal Transport for Unified Image Restoration

Xiaole Tang·Xiang Gu·Xiaoyi He·Xin Hu·Jian Sun

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Abstract

All-in-one image restoration has emerged as a practical and promising low-level vision task for real-world applications. In this context, the key issue lies in how to deal with different types of degraded images simultaneously. In this work, we present a Degradation-Aware Residual-Conditioned Optimal Transport (DA-RCOT) approach that models (all-in-one) image restoration as an optimal transport (OT) problem for unpaired and paired settings, introducing the transport residual as a degradation-specific cue for both the transport cost and the transport map. Specifically, we formalize image restoration with a residual-guided OT objective by exploiting the degradation-specific patterns of the Fourier residual in the transport cost. More crucially, we design the transport map for restoration as a two-pass DA-RCOT map, in which the transport residual is computed in the first pass and then encoded as multi-scale residual embeddings to condition the second-pass restoration. This conditioning process injects intrinsic degradation knowledge (e.g., degradation type and level) and structural information from the multi-scale residual embeddings into the OT map, which thereby can dynamically adjust its behaviors for all-in-one restoration. Extensive experiments across five degradations demonstrate the favorable performance of DA-RCOT as compared to state-of-the-art methods, in terms of distortion measures, perceptual quality, and image structure preservation. Notably, DA-RCOT delivers superior adaptability to real-world scenarios even with multiple degradations and shows distinctive robustness to both degradation levels and the number of degradations.

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Xiaole Tang, Xiang Gu, Xiaoyi He, Xin Hu, Jian Sun. 2024-11-03. Degradation-Aware Residual-Conditioned Optimal Transport for Unified Image Restoration. https://arxiv.org/abs/2411.01656

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