Bayesian Image Super-Resolution with Deep Modeling of Image Statistics
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Abstract (arXiv)
Modeling statistics of image priors is useful for image super-resolution, but little attention has been paid from the massive works of deep learning-based methods. In this work, we propose a Bayesian image restoration framework, where natural image statistics are modeled with the combination of smoothness and sparsity priors. Concretely, firstly we consider an ideal image as the sum of a smoothness component and a sparsity residual, and model real image degradation including blurring, downscaling, and noise corruption. Then, we develop a variational Bayesian approach to infer their posteriors. Finally, we implement the variational approach for single image super-resolution (SISR) using deep neural networks, and propose an unsupervised training strategy. The experiments on three image restoration tasks, textiti.e., ideal SISR, realistic SISR, and real-world SISR, demonstrate that our method has superior model generalizability against varying noise levels and degradation kernels and is effective in unsupervised SISR. The code and resulting models are released via urlhttps://zmiclab.github.io/projects.html.
Key facts. Cited by 11 papers in the map (data through 7 Oct 2026). Builds on 37 of its 80 references that are in the map. First posted on arXiv 31 Mar 2022.
Builds on
37 of 80 references.
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25 more
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Built on by
Citing papers per year: 2022: 1; 2023: 3; 2024: 3; 2025: 3; 2026: 1.
11 papers.
- 2023BayeSeg: Bayesian Modeling for Medical Image Segmentation with Interpretable Generalizabilitycited by 42
- 2022Image Super-resolution with An Enhanced Group Convolutional Neural Networkcited by 7
- 2024A Generalized Tensor Formulation for Hyperspectral Image Super-Resolution Under General Spatial Blurringcited by 5
- 2023Variational Bayes image restoration with compressive autoencoderscited by 4
- 2024Deep priors for satellite image restoration with accurate uncertaintiescited by 1
- 2025BUFF: Bayesian Uncertainty Guided Diffusion Probabilistic Model for Single Image Super-Resolutioncited by 1
- 2023Combination of Single and Multi-frame Image Super-resolution: An Analytical Perspectivecited by 0
- 2024A Single-Frame and Multi-Frame Cascaded Image Super-Resolution Methodcited by 0
- 2025MambaX: Image Super-Resolution with State Predictive Controlcited by 0
- 2025Probabilistic Modeling of Multi-rater Medical Image Segmentation for Diversity and Personalizationcited by 0
- 2026Multi-Level Contextual Token Relation Modeling for Machine-Generated Text Detectioncited by 0
- 2026Multi-Level Contextual Token Relation Modeling for Machine-Generated Text Detection15 May 2026
- 2025Probabilistic Modeling of Multi-rater Medical Image Segmentation for Diversity and Personalization30 Nov 2025
- 2025MambaX: Image Super-Resolution with State Predictive Control22 Nov 2025
- 2025BUFF: Bayesian Uncertainty Guided Diffusion Probabilistic Model for Single Image Super-Resolution4 Apr 2025
- 2024A Single-Frame and Multi-Frame Cascaded Image Super-Resolution Method13 Dec 2024
- 2024Deep priors for satellite image restoration with accurate uncertainties5 Dec 2024
- 2024A Generalized Tensor Formulation for Hyperspectral Image Super-Resolution Under General Spatial Blurring27 Sep 2024
- 2023Variational Bayes image restoration with compressive autoencoders29 Nov 2023
- 2023Combination of Single and Multi-frame Image Super-resolution: An Analytical Perspective6 Mar 2023
- 2023BayeSeg: Bayesian Modeling for Medical Image Segmentation with Interpretable Generalizability3 Mar 2023
- 2022Image Super-resolution with An Enhanced Group Convolutional Neural Network29 May 2022