{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,14]],"date-time":"2025-10-14T00:51:51Z","timestamp":1760403111069,"version":"build-2065373602"},"reference-count":44,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2022,1,11]],"date-time":"2022-01-11T00:00:00Z","timestamp":1641859200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Group-based sparse representation (GSR) uses image nonlocal self-similarity (NSS) prior to grouping similar image patches, and then performs sparse representation. However, the traditional GSR model restores the image by training degraded images, which leads to the inevitable over-fitting of the data in the training model, resulting in poor image restoration results. In this paper, we propose a new hybrid sparse representation model (HSR) for image restoration. The proposed HSR model is improved in two aspects. On the one hand, the proposed HSR model exploits the NSS priors of both degraded images and external image datasets, making the model complementary in feature space and the plane. On the other hand, we introduce a joint sparse representation model to make better use of local sparsity and NSS characteristics of the images. This joint model integrates the patch-based sparse representation (PSR) model and GSR model, while retaining the advantages of the GSR model and the PSR model, so that the sparse representation model is unified. Extensive experimental results show that the proposed hybrid model outperforms several existing image recovery algorithms in both objective and subjective evaluations.<\/jats:p>","DOI":"10.3390\/s22020537","type":"journal-article","created":{"date-parts":[[2022,1,11]],"date-time":"2022-01-11T20:33:04Z","timestamp":1641933184000},"page":"537","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A Hybrid Sparse Representation Model for Image Restoration"],"prefix":"10.3390","volume":"22","author":[{"given":"Caiyue","family":"Zhou","sequence":"first","affiliation":[{"name":"School of Cyber Science and Engineering, Qufu Normal University, Qufu 273165, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yanfen","family":"Kong","sequence":"additional","affiliation":[{"name":"Department of Information Engineering, Weihai Ocean Vocational College, Rongcheng 264300, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chuanyong","family":"Zhang","sequence":"additional","affiliation":[{"name":"Department of Information Engineering, Weihai Ocean Vocational College, Rongcheng 264300, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lin","family":"Sun","sequence":"additional","affiliation":[{"name":"School of Cyber Science and Engineering, Qufu Normal University, Qufu 273165, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dongmei","family":"Wu","sequence":"additional","affiliation":[{"name":"School of Cyber Science and Engineering, Qufu Normal University, Qufu 273165, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2409-4852","authenticated-orcid":false,"given":"Chongbo","family":"Zhou","sequence":"additional","affiliation":[{"name":"School of Cyber Science and Engineering, Qufu Normal University, Qufu 273165, China"},{"name":"Department of Information Engineering, Weihai Ocean Vocational College, Rongcheng 264300, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,1,11]]},"reference":[{"key":"ref_1","unstructured":"Buades, A., Coll, B., and Morel, J.-M. 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