Super-Resolution via Image-Adapted Denoising CNNs: Incorporating External and Internal Learning
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Abstract (arXiv)
While deep neural networks exhibit state-of-the-art results in the task of image super-resolution (SR) with a fixed known acquisition process (e.g., a bicubic downscaling kernel), they experience a huge performance loss when the real observation model mismatches the one used in training. Recently, two different techniques suggested to mitigate this deficiency, i.e., enjoy the advantages of deep learning without being restricted by the training phase. The first one follows the plug-and-play (P&P) approach that solves general inverse problems (e.g., SR) by using Gaussian denoisers for handling the prior term in model-based optimization schemes. The second builds on internal recurrence of information inside a single image, and trains a super-resolver network at test time on examples synthesized from the low-resolution image. Our work incorporates these two independent strategies, enjoying the impressive generalization capabilities of deep learning, captured by the first, and further improving it through internal learning at test time. First, we apply a recent P&P strategy to SR. Then, we show how it may become image-adaptive in test time. This technique outperforms the above two strategies on popular datasets and gives better results than other state-of-the-art methods in practical cases where the observation model is inexact or unknown in advance.
Key facts. Cited by 12 papers in the map (data through 7 Oct 2026). First posted on arXiv 30 Nov 2018.
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Citing papers per year: 2021: 4; 2022: 3; 2023: 2; 2024: 1; 2025: 2.
12 papers.
- 2021Deep Equilibrium Architectures for Inverse Problems in Imagingcited by 126
- 2023Image Restoration by Denoising Diffusion Models with Iteratively Preconditioned Guidancecited by 43
- 2022ADIR: Adaptive Diffusion for Image Reconstructioncited by 20
- 2024Zero-Shot Image Restoration Using Few-Step Guidance of Consistency Models (and Beyond)cited by 12
- 2023Deep Internal Learning: Deep Learning from a Single Inputcited by 9
- 2021Image Restoration by Deep Projected GSUREcited by 8
- 2022CurvPnP: Plug-and-play Blind Image Restoration with Deep Curvature Denoisercited by 6
- 2021Deep learning architectural designs for super-resolution of noisy imagescited by 5
- 2022A hybrid approach to seismic deblending: when physics meets self-supervisioncited by 4
- 2025Equivariant Sampling for Improving Diffusion Model-based Image Restorationcited by 1
- 2021An Interpretation of Regularization by Denoising and its Application with the Back-Projected Fidelity Termcited by 0
- 2025Jacobian-Aware Posterior Sampling for Inverse Problemscited by 0
- 2025Jacobian-Aware Posterior Sampling for Inverse Problems23 Nov 2025
- 2025Equivariant Sampling for Improving Diffusion Model-based Image Restoration13 Nov 2025
- 2024Zero-Shot Image Restoration Using Few-Step Guidance of Consistency Models (and Beyond)29 Dec 2024
- 2023Image Restoration by Denoising Diffusion Models with Iteratively Preconditioned Guidance27 Dec 2023
- 2023Deep Internal Learning: Deep Learning from a Single Input12 Dec 2023
- 2022ADIR: Adaptive Diffusion for Image Reconstruction6 Dec 2022
- 2022CurvPnP: Plug-and-play Blind Image Restoration with Deep Curvature Denoiser14 Nov 2022
- 2022A hybrid approach to seismic deblending: when physics meets self-supervision30 May 2022
- 2021Deep Equilibrium Architectures for Inverse Problems in Imaging16 Feb 2021
- 2021Deep learning architectural designs for super-resolution of noisy images9 Feb 2021
- 2021Image Restoration by Deep Projected GSURE4 Feb 2021
- 2021An Interpretation of Regularization by Denoising and its Application with the Back-Projected Fidelity Term27 Jan 2021