{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T08:17:17Z","timestamp":1773821837570,"version":"3.50.1"},"reference-count":47,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T00:00:00Z","timestamp":1773792000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T00:00:00Z","timestamp":1773792000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62561049"],"award-info":[{"award-number":["62561049"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"The Industrial Support Program Project of the Gansu Provincial Department of Education","award":["2025CYZC-008"],"award-info":[{"award-number":["2025CYZC-008"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Supercomput"],"DOI":"10.1007\/s11227-026-08384-x","type":"journal-article","created":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T07:19:07Z","timestamp":1773818347000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["DFMIR-Net: dual-frequency Mamba network for single-image deraining"],"prefix":"10.1007","volume":"82","author":[{"given":"Yun","family":"Jiang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Keyuan","family":"Zhou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kunyi","family":"Zhu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xijie","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Pengyu","family":"Chen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2026,3,18]]},"reference":[{"key":"8384_CR1","doi-asserted-by":"crossref","unstructured":"Li S, Araujo IB, Ren W et al (2019) Single image deraining: a comprehensive benchmark analysis. In: Proceedings of the IEEE\/CVF Conference on Computer Vision and Pattern Recognition, pp 3838\u20133847","DOI":"10.1109\/CVPR.2019.00396"},{"key":"8384_CR2","doi-asserted-by":"publisher","DOI":"10.1145\/3788690","author":"Y Zhao","year":"2026","unstructured":"Zhao Y, Zheng Z, Xue D et al (2026) Unfolding convolutional sparse coding with low-rank guided hybrid priors for image denoising. ACM Trans Multimed Comput Commun Appl. https:\/\/doi.org\/10.1145\/3788690","journal-title":"ACM Trans Multimed Comput Commun Appl"},{"key":"8384_CR3","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2021.107958","volume":"113","author":"T Liu","year":"2021","unstructured":"Liu T, Tang H, Zhang D et al (2021) Feature-guided dictionary learning for patch-and-group sparse representations in single image deraining. Appl Soft Comput 113:107958","journal-title":"Appl Soft Comput"},{"key":"8384_CR4","doi-asserted-by":"crossref","unstructured":"Yi Q, Li J, Dai Q et al (2021) Structure-preserving deraining with residue channel prior guidance. In: Proceedings of the IEEE\/CVF International Conference on Computer Vision, pp 4238\u20134247","DOI":"10.1109\/ICCV48922.2021.00420"},{"key":"8384_CR5","doi-asserted-by":"crossref","unstructured":"Yasarla R, Patel VM (2019) Uncertainty guided multi-scale residual learning-using a cycle spinning CNN for single image de-raining. In: Proceedings of the IEEE\/CVF Conference on Computer Vision and Pattern Recognition, pp 8405\u20138414","DOI":"10.1109\/CVPR.2019.00860"},{"key":"8384_CR6","doi-asserted-by":"crossref","unstructured":"Chen X, Li H, Li M et al (2023) Learning a sparse transformer network for effective image deraining. In: Proceedings of the IEEE\/CVF Conference on Computer Vision and Pattern Recognition, pp 5896\u20135905","DOI":"10.1109\/CVPR52729.2023.00571"},{"key":"8384_CR7","doi-asserted-by":"crossref","unstructured":"Guo H,Li J, Dai T et al (2024) Mambair: a simple baseline for image restoration with state-space model. In: European Conference on Computer Vision, Cham: Springer Nature Switzerland, pp 222\u2013241","DOI":"10.1007\/978-3-031-72649-1_13"},{"key":"8384_CR8","doi-asserted-by":"crossref","unstructured":"Gao N, Jiang X, Zhang X et al (2024) Efficient frequency-domain image deraining with contrastive regularization. In: European Conference on Computer Vision, Cham: Springer Nature Switzerland, pp 240\u2013257","DOI":"10.1007\/978-3-031-72940-9_14"},{"issue":"11","key":"8384_CR9","doi-asserted-by":"publisher","first-page":"10860","DOI":"10.1109\/TCSVT.2024.3411655","volume":"34","author":"T Yan","year":"2024","unstructured":"Yan T, Zhu X, Chen X et al (2024) GLGFN: global-local grafting fusion network for high-resolution image deraining. IEEE Trans Circuits Syst Video Technol 34(11):10860\u201310873","journal-title":"IEEE Trans Circuits Syst Video Technol"},{"key":"8384_CR10","doi-asserted-by":"crossref","unstructured":"Chen X, Li H, Li M et al (2023) Learning a sparse transformer network for effective image deraining. In: Proc. IEEE\/CVF Conf. Comput. Vis. Pattern Recognit. (CVPR), pp 5896\u20135905","DOI":"10.1109\/CVPR52729.2023.00571"},{"key":"8384_CR11","doi-asserted-by":"crossref","unstructured":"Chen YL, Hsu CT (2013) A generalized low-rank appearance model for spatio-temporally correlated rain streaks. In: Proc. IEEE Int. Conf. Comput. Vis. (ICCV), pp 1968\u20131975","DOI":"10.1109\/ICCV.2013.247"},{"key":"8384_CR12","first-page":"1","volume":"60","author":"X Cao","year":"2021","unstructured":"Cao X, Fu X, Xu C et al (2021) Deep spatial-spectral global reasoning network for hyperspectral image denoising. IEEE Trans Geosci Remote Sens 60:1\u201314","journal-title":"IEEE Trans Geosci Remote Sens"},{"key":"8384_CR13","doi-asserted-by":"crossref","unstructured":"Yang W, Tan RT, Feng J et al (2017) Deep joint rain detection and removal from a single image. In: Proc. IEEE Conf. Comput. Vis. Pattern Recognit. (CVPR), pp 1357\u20131366","DOI":"10.1109\/CVPR.2017.183"},{"issue":"11","key":"8384_CR14","doi-asserted-by":"publisher","first-page":"3943","DOI":"10.1109\/TCSVT.2019.2920407","volume":"30","author":"H Zhang","year":"2019","unstructured":"Zhang H, Sindagi V, Patel VM (2019) Image de-raining using a conditional generative adversarial network. IEEE Trans Circuits Syst Video Technol 30(11):3943\u20133956","journal-title":"IEEE Trans Circuits Syst Video Technol"},{"key":"8384_CR15","doi-asserted-by":"crossref","unstructured":"Zhang H, Patel VM (2018) Density-aware single image de-raining using a multi-stream dense network. In: Proc. IEEE Conf. Comput. Vis. Pattern Recognit. (CVPR), pp 695\u2013704","DOI":"10.1109\/CVPR.2018.00079"},{"key":"8384_CR16","doi-asserted-by":"crossref","unstructured":"Li S, Araujo IB, Ren W et al (2019) Single image deraining: a comprehensive benchmark analysis. In: Proc. IEEE\/CVF Conf. Comput. Vis. Pattern Recognit. (CVPR), pp 3838\u20133847","DOI":"10.1109\/CVPR.2019.00396"},{"issue":"2","key":"8384_CR17","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1109\/JSTSP.2020.3039393","volume":"15","author":"R Yasarla","year":"2020","unstructured":"Yasarla R, Valanarasu JMJ, Patel VM (2020) Exploring overcomplete representations for single image deraining using CNNs. IEEE J Sel Topics Signal Process 15(2):229\u2013239","journal-title":"IEEE J Sel Topics Signal Process"},{"key":"8384_CR18","doi-asserted-by":"crossref","unstructured":"Guo H, Li J, Dai T et al (2024) Mambair: a simple baseline for image restoration with state-space model. In: Proc. Eur. Conf. Comput. Vis. (ECCV), pp 222\u2013241","DOI":"10.1007\/978-3-031-72649-1_13"},{"key":"8384_CR19","doi-asserted-by":"crossref","unstructured":"Gao N, Jiang X, Zhang X et al (2024) Efficient frequency-domain image deraining with contrastive regularization. In: Proc. Eur. Conf. Comput. Vis. (ECCV), pp 240\u2013257","DOI":"10.1007\/978-3-031-72940-9_14"},{"key":"8384_CR20","doi-asserted-by":"crossref","unstructured":"Yi Q, Li J, Dai Q et al (2021) Structure-preserving deraining with residue channel prior guidance. In: Proc. IEEE\/CVF Int. Conf. Comput. Vis. (ICCV), pp 4238\u20134247","DOI":"10.1109\/ICCV48922.2021.00420"},{"issue":"6","key":"8384_CR21","doi-asserted-by":"publisher","first-page":"8668","DOI":"10.1109\/TNNLS.2022.3231453","volume":"35","author":"H Wang","year":"2023","unstructured":"Wang H, Xie Q, Zhao Q et al (2023) RCDNet: an interpretable rain convolutional dictionary network for single image deraining. IEEE Trans Neural Netw Learn Syst 35(6):8668\u20138682","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"8384_CR22","doi-asserted-by":"crossref","unstructured":"Fu X, Huang J, Zeng D et al (2017) Removing rain from single images via a deep detail network. In: Proc. IEEE Conf. Comput. Vis. Pattern Recognit. (CVPR), pp 3855\u20133863","DOI":"10.1109\/CVPR.2017.186"},{"issue":"11","key":"8384_CR23","doi-asserted-by":"publisher","first-page":"12978","DOI":"10.1109\/TPAMI.2022.3183612","volume":"45","author":"J Xiao","year":"2022","unstructured":"Xiao J, Fu X, Liu A et al (2022) Image de-raining transformer. IEEE Trans Pattern Anal Mach Intell 45(11):12978\u201312995","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"key":"8384_CR24","doi-asserted-by":"crossref","unstructured":"Li Y,Lu J, Chen H et al (2023) Dilated convolutional transformer for high-quality image deraining. In Proc. IEEE\/CVF Conf. Comput. Vis. Pattern Recognit. (CVPR), pp 4199\u20134207","DOI":"10.1109\/CVPRW59228.2023.00442"},{"key":"8384_CR25","unstructured":"Gu A, Dao T (2024) Mamba: Linear-time sequence modeling with selective state spaces. In: Proc. First Conf. Lang. Model. (COLM)"},{"key":"8384_CR26","unstructured":"Mao X, Shen C, Yang YB (2016) Image restoration using very deep convolutional encoder-decoder networks with symmetric skip connections. Adv. Neural Inf. Process. Syst. 29"},{"key":"8384_CR27","first-page":"2346","volume":"34","author":"J Lin","year":"2021","unstructured":"Lin J, Chen W-M, Cai H et al (2021) Memory-efficient patch-based inference for tiny deep learning. Adv Neural Inf Process Syst 34:2346\u20132358","journal-title":"Adv Neural Inf Process Syst"},{"key":"8384_CR28","doi-asserted-by":"publisher","DOI":"10.1016\/j.dsp.2022.103740","volume":"130","author":"H Yang","year":"2022","unstructured":"Yang H, Zhou D, Cao J et al (2022) DPNet: detail-preserving image deraining via learning frequency domain knowledge. Digit Signal Process 130:103740","journal-title":"Digit Signal Process"},{"key":"8384_CR29","doi-asserted-by":"crossref","unstructured":"Moliner E, V\u00e4lim\u00e4ki V (2022) A two-stage U-Net for high-fidelity denoising of historical recordings. In: Proc. IEEE Int. Conf. Acoust., Speech Signal Process. (ICASSP), pp 841\u2013845","DOI":"10.1109\/ICASSP43922.2022.9746977"},{"issue":"11","key":"8384_CR30","first-page":"12892","volume":"38","author":"K Jiang","year":"2024","unstructured":"Jiang K, Jiang J, Liu X et al (2024) Fmrnet: image deraining via frequency mutual revision. In Proc AAAI Conf Artif Intell 38(11):12892\u201312900","journal-title":"In Proc AAAI Conf Artif Intell"},{"issue":"5","key":"8384_CR31","doi-asserted-by":"publisher","first-page":"2062","DOI":"10.1121\/1.1357811","volume":"109","author":"EA Strickland","year":"2001","unstructured":"Strickland EA (2001) The relationship between frequency selectivity and overshoot. J Acoust Soc Am 109(5):2062\u20132073","journal-title":"J Acoust Soc Am"},{"issue":"2","key":"8384_CR32","doi-asserted-by":"publisher","first-page":"1093","DOI":"10.1109\/TPAMI.2023.3330416","volume":"46","author":"Y Cui","year":"2024","unstructured":"Cui Y, Ren W, Cao X, Knoll A (2024) Image restoration via frequency selection. IEEE Trans Pattern Anal Mach Intell 46(2):1093\u20131108","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"key":"8384_CR33","doi-asserted-by":"crossref","unstructured":"Jiang X, Zhang X, Gao N, Deng Y (2024) When Fast Fourier Transform Meets Transformer for Image Restoration. In: Proc. Eur. Conf. Comput. Vis. (ECCV)","DOI":"10.1007\/978-3-031-72995-9_22"},{"key":"8384_CR34","first-page":"103031","volume":"37","author":"Y Liu","year":"2024","unstructured":"Liu Y, Tian Y, Zhao Y et al (2024) VMAMBA: Visual state space model. Adv Neural Inf Process Syst 37:103031\u2013103063","journal-title":"Adv Neural Inf Process Syst"},{"issue":"6","key":"8384_CR35","doi-asserted-by":"publisher","first-page":"5560","DOI":"10.1109\/TCSVT.2025.3530090","volume":"35","author":"Y Shi","year":"2025","unstructured":"Shi Y, Xia B, Jin X et al (2025) Vmambair: visual state space model for image restoration. IEEE Trans Circuits Syst Video Technol 35(6):5560\u20135574","journal-title":"IEEE Trans Circuits Syst Video Technol"},{"key":"8384_CR36","doi-asserted-by":"crossref","unstructured":"Xu K, Qin M, Sun F et al (2020) Learning in the frequency domain. In: Proc. IEEE\/CVF Conf. Comput. Vis. Pattern Recognit. (CVPR), pp 1740\u20131749","DOI":"10.1109\/CVPR42600.2020.00181"},{"key":"8384_CR37","doi-asserted-by":"crossref","unstructured":"Wang T, Yang X, Xu K, Chen S, Zhang Q, Lau RW (2019) Spatial attentive single-image deraining with a high quality real rain dataset. In: Proc. IEEE\/CVF Conf. Comput. Vis. Pattern Recognit. (CVPR), pp 12270\u201312279","DOI":"10.1109\/CVPR.2019.01255"},{"key":"8384_CR38","doi-asserted-by":"crossref","unstructured":"Jiang K, Wang Z, Yi P et al (2020) Multi-scale progressive fusion network for single image deraining. In: Proc. IEEE\/CVF Conf. Comput. Vis. Pattern Recognit. (CVPR), pp 8346\u20138355","DOI":"10.1109\/CVPR42600.2020.00837"},{"key":"8384_CR39","doi-asserted-by":"crossref","unstructured":"Ren D, Zuo W, Hu Q, Zhu P, Meng D (2019) Progressive image deraining networks: a better and simpler baseline. In: Proc. IEEE\/CVF Conf. Comput. Vis. Pattern Recognit. (CVPR)","DOI":"10.1109\/CVPR.2019.00406"},{"key":"8384_CR40","doi-asserted-by":"crossref","unstructured":"Zamir SW, Arora A, Khan S, Hayat M, Khan FS, Yang MH, Shao L (2021) Multi-stage progressive image restoration. In: Proc. IEEE\/CVF Conf. Comput. Vis. Pattern Recognit. (CVPR)","DOI":"10.1109\/CVPR46437.2021.01458"},{"key":"8384_CR41","doi-asserted-by":"crossref","unstructured":"Chen L, Lu X, Zhang J et al (2021) HINet: half instance normalization network for image restoration. In: Proc. IEEE\/CVF Conf. Comput. Vis. Pattern Recognit. (CVPR), pp 182\u2013192","DOI":"10.1109\/CVPRW53098.2021.00027"},{"key":"8384_CR42","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1109\/TIP.2023.3334556","volume":"33","author":"Q Wang","year":"2023","unstructured":"Wang Q, Jiang K, Wang Z et al (2023) Multi-scale fusion and decomposition network for single image deraining. IEEE Trans Image Process 33:191\u2013204","journal-title":"IEEE Trans Image Process"},{"key":"8384_CR43","doi-asserted-by":"crossref","unstructured":"Zheng S, Lu C, Wu Y et al (2022) SAPNet: Segmentation-aware progressive network for perceptual contrastive deraining. In: Proc. IEEE\/CVF Winter Conf. Appl. Comput. Vis. (WACV), pp 52\u201362","DOI":"10.1109\/WACVW54805.2022.00011"},{"issue":"10","key":"8384_CR44","doi-asserted-by":"publisher","first-page":"7385","DOI":"10.1007\/s00371-024-03599-6","volume":"40","author":"H Gao","year":"2024","unstructured":"Gao H, Yang J, Zhang Y et al (2024) A novel single-stage network for accurate image restoration. Vis Comput 40(10):7385\u20137398","journal-title":"Vis Comput"},{"key":"8384_CR45","doi-asserted-by":"crossref","unstructured":"Zamir SW, Arora A, Khan S et al (2022) Restormer: efficient transformer for high-resolution image restoration. In: Proc. IEEE\/CVF Conf. Comput. Vis. Pattern Recognit. (CVPR), pp 5728\u20135739","DOI":"10.1109\/CVPR52688.2022.00564"},{"key":"8384_CR46","doi-asserted-by":"crossref","unstructured":"Fu X, Huang J, Zeng D, Huang Y, Ding X, Paisley J (2017) Removing rain from single images via a deep detail network. In: Proc. IEEE Conf. Comput. Vis. Pattern Recognit. (CVPR), pp 3855\u20133863","DOI":"10.1109\/CVPR.2017.186"},{"key":"8384_CR47","doi-asserted-by":"crossref","unstructured":"Li X, Wu J, Lin Z, Liu H, Zha H (2018) Recurrent squeeze-and-excitation context aggregation net for single image deraining. In: Proc. Eur. Conf. Comput. Vis. (ECCV), pp 254\u2013269","DOI":"10.1007\/978-3-030-01234-2_16"}],"container-title":["The Journal of Supercomputing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11227-026-08384-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11227-026-08384-x","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11227-026-08384-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T07:19:18Z","timestamp":1773818358000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11227-026-08384-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,3,18]]},"references-count":47,"journal-issue":{"issue":"5","published-online":{"date-parts":[[2026,4]]}},"alternative-id":["8384"],"URL":"https:\/\/doi.org\/10.1007\/s11227-026-08384-x","relation":{},"ISSN":["1573-0484"],"issn-type":[{"value":"1573-0484","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,3,18]]},"assertion":[{"value":"31 October 2025","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 February 2026","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 March 2026","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"266"}}