Abstract
This paper focuses on the dataset-free Blind Image Super-Resolution (BISR). Unlike existing dataset-free BISR methods that focus on obtaining a degradation kernel for the entire image, we are the first to explicitly design a spatially-variant degradation model for each pixel. Our method also benefits from having a significantly smaller number of learnable parameters compared to data-driven spatially-variant BISR methods. Concretely, each pixel’s degradation kernel is expressed as a linear combination of a learnable dictionary composed of a small number of spatially-variant atom kernels. The coefficient matrices of the atom degradation kernels are derived using membership functions of fuzzy set theory. We construct a novel Probabilistic BISR model with tailored likelihood function and prior terms. Subsequently, we employ the Monte Carlo EM algorithm to infer the degradation kernels for each pixel. Our method achieves a significant improvement over other state-of-the-art BISR methods, with an average improvement of 1 dB (\(2\times \)). Code will be released at https://github.com/DeepMed-Lab-ECNU/SVDSR.
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References
Agustsson, E., Timofte, R.: Ntire 2017 challenge on single image super-resolution: dataset and study. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition Workshops, pp. 126–135 (2017)
Bell-Kligler, S., Shocher, A., Irani, M.: Blind super-resolution kernel estimation using an internal-gan. Adv. Neural Inform. Process. Syst. 32 (2019)
Bevilacqua, M., Roumy, A., Guillemot, C., Morel, A.: Low-complexity single image super-resolution based on nonnegative neighbor embedding. In: British Machine Vision Conference (2012)
Chen, X., Zhang, J., Xu, C., Wang, Y., Wang, C., Liu, Y.: Better " cmos" produces clearer images: Learning space-variant blur estimation for blind image super-resolution. In: Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, pp. 1651–1661 (2023)
Dong, W., Zhang, L., Shi, G., Li, X.: Nonlocally centralized sparse representation for image restoration. IEEE Trans. Image Process. 22(4), 1620–1630 (2012)
Fritsche, M., Gu, S., Timofte, R.: Frequency separation for real-world super-resolution. In: 2019 IEEE/CVF International Conference on Computer Vision Workshop (ICCVW), pp. 3599–3608. IEEE (2019)
He, W., et al.: Non-local meets global: an iterative paradigm for hyperspectral image restoration. IEEE Trans. Pattern Anal. Mach. Intell. 44(4), 2089–2107 (2020)
He, X., Mo, Z., Wang, P., Liu, Y., Yang, M., Cheng, J.: Ode-inspired network design for single image super-resolution. In: Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, pp. 1732–1741 (2019)
Huang, J.B., Singh, A., Ahuja, N.: Single image super-resolution from transformed self-exemplars. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 5197–5206 (2015)
Hui, Z., Gao, X., Yang, Y., Wang, X.: Lightweight image super-resolution with information multi-distillation network. In: Proceedings of the 27th ACM International Conference on Multimedia, pp. 2024–2032 (2019)
Ji, X., Cao, Y., Tai, Y., Wang, C., Li, J., Huang, F.: Real-world super-resolution via kernel estimation and noise injection. In: proceedings of the IEEE/CVF Conference on Computer Vision And Pattern Recognition Workshops, pp. 466–467 (2020)
Keilmann, A., Godehardt, M., Moghiseh, A., Redenbach, C., Schladitz, K.: Improved anisotropic gaussian filters. arXiv preprint arXiv:2303.13278 (2023)
Kim, J., Lee, J.K., Lee, K.M.: Accurate image super-resolution using very deep convolutional networks. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 1646–1654 (2016)
Kim, K.I., Kwon, Y.: Single-image super-resolution using sparse regression and natural image prior. IEEE Trans. Pattern Anal. Mach. Intell. 32(6), 1127–1133 (2010)
Kim, S.Y., Sim, H., Kim, M.: Koalanet: blind super-resolution using kernel-oriented adaptive local adjustment. In: Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, pp. 10611–10620 (2021)
Krishnan, D., Fergus, R.: Fast image deconvolution using hyper-laplacian priors. Adv. Neural Inform. Process. Syst. 22 (2009)
Lai, W.S., Huang, J.B., Ahuja, N., Yang, M.H.: Fast and accurate image super-resolution with deep laplacian pyramid networks. IEEE Trans. Pattern Anal. Mach. Intell. 41(11), 2599–2613 (2018)
Li, J., Wang, W., Nan, Y., Ji, H.: Self-supervised blind motion deblurring with deep expectation maximization. In: Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, pp. 13986–13996 (2023)
Li, W., Zhou, K., Qi, L., Jiang, N., Lu, J., Jia, J.: Lapar: Linearly-assembled pixel-adaptive regression network for single image super-resolution and beyond. Adv. Neural. Inf. Process. Syst. 33, 20343–20355 (2020)
Liang, J., Sun, G., Zhang, K., Van Gool, L., Timofte, R.: Mutual affine network for spatially variant kernel estimation in blind image super-resolution. In: Proceedings of the IEEE/CVF International Conference on Computer Vision, pp. 4096–4105 (2021)
Liang, J., Zhang, K., Gu, S., Van Gool, L., Timofte, R.: Flow-based kernel prior with application to blind super-resolution. In: Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, pp. 10601–10610 (2021)
Liu, J., Zhang, W., Tang, Y., Tang, J., Wu, G.: Residual feature aggregation network for image super-resolution. In: Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, pp. 2359–2368 (2020)
Lu, Z., Li, J., Liu, H., Huang, C., Zhang, L., Zeng, T.: Transformer for single image super-resolution. In: Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, pp. 457–466 (2022)
Maeda, S.: Unpaired image super-resolution using pseudo-supervision. In: Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, pp. 291–300 (2020)
Mao, X., Liu, Y., Liu, F., Li, Q., Shen, W., Wang, Y.: Intriguing findings of frequency selection for image deblurring. In: Proceedings of the AAAI Conference on Artificial Intelligence, vol. 37, pp. 1905–1913 (2023)
Matsui, Y., et al.: Sketch-based manga retrieval using manga109 dataset. Multimedia Tools Appli. 76, 21811–21838 (2017)
McLachlan, G.J., Lee, S.X., Rathnayake, S.I.: Finite mixture models. Annual Rev. Statist. Appli. 6, 355–378 (2019)
Mei, Y., Fan, Y., Zhou, Y., Huang, L., Huang, T.S., Shi, H.: Image super-resolution with cross-scale non-local attention and exhaustive self-exemplars mining. In: Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, pp. 5690–5699 (2020)
Mou, C., Wu, Y., Wang, X., Dong, C., Zhang, J., Shan, Y.: Metric learning based interactive modulation for real-world super-resolution. In: European Conference on Computer Vision, pp. 723–740. Springer (2022)
Nagy, J.G., O’Leary, D.P.: Restoring images degraded by spatially variant blur. SIAM J. Sci. Comput. 19(4), 1063–1082 (1998)
Ren, D., Zhang, K., Wang, Q., Hu, Q., Zuo, W.: Neural blind deconvolution using deep priors. In: Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, pp. 3341–3350 (2020)
Rudin, L.I., Osher, S., Fatemi, E.: Nonlinear total variation based noise removal algorithms. Physica D 60(1–4), 259–268 (1992)
Shocher, A., Cohen, N., Irani, M.: “zero-shot” super-resolution using deep internal learning. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 3118–3126 (2018)
Sun, J., Xu, Z., Shum, H.Y.: Image super-resolution using gradient profile prior. In: 2008 IEEE Conference on Computer Vision and Pattern Recognition, pp. 1–8. IEEE (2008)
Tai, Y., Yang, J., Liu, X., Xu, C.: Memnet: a persistent memory network for image restoration. In: Proceedings of the IEEE International Conference on Computer Vision, pp. 4539–4547 (2017)
Ulyanov, D., Vedaldi, A., Lempitsky, V.: Deep image prior. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 9446–9454 (2018)
Wang, X., Xie, L., Dong, C., Shan, Y.: Real-esrgan: training real-world blind super-resolution with pure synthetic data. In: Proceedings of the IEEE/CVF International Conference on Computer Vision, pp. 1905–1914 (2021)
Wang, X., Yu, K., Dong, C., Loy, C.C.: Recovering realistic texture in image super-resolution by deep spatial feature transform. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 606–615 (2018)
Wang, Z., Bovik, A.C., Sheikh, H.R., Simoncelli, E.P.: Image quality assessment: from error visibility to structural similarity. IEEE Trans. Image Process. 13(4), 600–612 (2004)
Xie, J., Gao, R., Zheng, Z., Zhu, S.C., Wu, Y.N.: Learning dynamic generator model by alternating back-propagation through time. In: Proceedings of the AAAI Conference on Artificial Intelligence, pp. 5498–5507 (2019)
Yue, Z., Zhao, Q., Xie, J., Zhang, L., Meng, D., Wong, K.Y.K.: Blind image super-resolution with elaborate degradation modeling on noise and kernel. In: Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, pp. 2128–2138 (2022)
Zeyde, R., Elad, M., Protter, M.: On single image scale-up using sparse-representations. In: Boissonnat, J.-D., et al. (eds.) Curves and Surfaces 2010. LNCS, vol. 6920, pp. 711–730. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-27413-8_47
Zhang, K., Liang, J., Van Gool, L., Timofte, R.: Designing a practical degradation model for deep blind image super-resolution. In: Proceedings of the IEEE/CVF International Conference on Computer Vision, pp. 4791–4800 (2021)
Woo, S., Park, J., Lee, J.-Y., Kweon, I.S.: CBAM: convolutional block attention module. In: Ferrari, V., Hebert, M., Sminchisescu, C., Weiss, Y. (eds.) ECCV 2018. LNCS, vol. 11211, pp. 3–19. Springer, Cham (2018). https://doi.org/10.1007/978-3-030-01234-2_1
Zhou, H., et al.: Learning correction filter via degradation-adaptive regression for blind single image super-resolution. In: Proceedings of the IEEE/CVF International Conference on Computer Vision, pp. 12365–12375 (2023)
Acknowledgements
This work was supported by the National Natural Science Foundation of China (Grant No. 62101191), Shanghai Natural Science Foundation (Grant No. 21ZR1420800), and the Science and Technology Commission of Shanghai Municipality (Grant No. 22DZ2229004).
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Guo, S., Song, H., Li, Q., Wang, Y. (2025). Spatially-Variant Degradation Model for Dataset-Free Super-Resolution. In: Leonardis, A., Ricci, E., Roth, S., Russakovsky, O., Sattler, T., Varol, G. (eds) Computer Vision – ECCV 2024. ECCV 2024. Lecture Notes in Computer Science, vol 15083. Springer, Cham. https://doi.org/10.1007/978-3-031-72698-9_20
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