{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,9]],"date-time":"2026-03-09T19:13:46Z","timestamp":1773083626743,"version":"3.50.1"},"reference-count":43,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T00:00:00Z","timestamp":1579305600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["No.61701327, No.61711540303"],"award-info":[{"award-number":["No.61701327, No.61711540303"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Science Foundation of Sichuan Science and Technology Department","award":["No.2018GZ0178"],"award-info":[{"award-number":["No.2018GZ0178"]}]},{"name":"Open research fund of State Key Laboratory","award":["No.614250304010517"],"award-info":[{"award-number":["No.614250304010517"]}]},{"name":"The Applied Basic Research Programs of Science and Technology Department of Sichuan Province","award":["No.2019YJ0110"],"award-info":[{"award-number":["No.2019YJ0110"]}]},{"name":"The Science and Technology Service Industry Demonstration Programs of Sichuan Province","award":["No.2019GFW167"],"award-info":[{"award-number":["No.2019GFW167"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Image fusion is a very practical technology that can be applied in many fields, such as medicine, remote sensing and surveillance. An image fusion method using multi-scale decomposition and joint sparse representation is introduced in this paper. First, joint sparse representation is applied to decompose two source images into a common image and two innovation images. Second, two initial weight maps are generated by filtering the two source images separately. Final weight maps are obtained by joint bilateral filtering according to the initial weight maps. Then, the multi-scale decomposition of the innovation images is performed through the rolling guide filter. Finally, the final weight maps are used to generate the fused innovation image. The fused innovation image and the common image are combined to generate the ultimate fused image. The experimental results show that our method\u2019s average metrics are: mutual information (    M I    )\u20145.3377, feature mutual information (    F M I    )\u20140.5600, normalized weighted edge preservation value (    Q  A B \/ F     )\u20140.6978 and nonlinear correlation information entropy (    N C I E    )\u20140.8226. Our method can achieve better performance compared to the state-of-the-art methods in visual perception and objective quantification.<\/jats:p>","DOI":"10.3390\/e22010118","type":"journal-article","created":{"date-parts":[[2020,1,20]],"date-time":"2020-01-20T04:27:09Z","timestamp":1579494429000},"page":"118","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":36,"title":["Entropy-Based Image Fusion with Joint Sparse Representation and Rolling Guidance Filter"],"prefix":"10.3390","volume":"22","author":[{"given":"Yudan","family":"Liu","sequence":"first","affiliation":[{"name":"College of Electronics and Information Engineering, Sichuan University, Chengdu 610064, China"}]},{"given":"Xiaomin","family":"Yang","sequence":"additional","affiliation":[{"name":"College of Electronics and Information Engineering, Sichuan University, Chengdu 610064, China"}]},{"given":"Rongzhu","family":"Zhang","sequence":"additional","affiliation":[{"name":"College of Electronics and Information Engineering, Sichuan University, Chengdu 610064, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1846-946X","authenticated-orcid":false,"given":"Marcelo Keese","family":"Albertini","sequence":"additional","affiliation":[{"name":"Department of Computer Science, Federal University of Uberlandia, Uberlandia, MG 38408-100, Brazil"}]},{"given":"Turgay","family":"Celik","sequence":"additional","affiliation":[{"name":"School of Computer Science and Applied Mathematics, University of the Witwatersrand, Johannesburg 2000, South Africa"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0651-4278","authenticated-orcid":false,"given":"Gwanggil","family":"Jeon","sequence":"additional","affiliation":[{"name":"School of Electronic Engineering, Xidian University, Xi\u2019an 710071, China"},{"name":"Department of Embedded Systems Engineering, Incheon National University, Incheon 22012, Korea"}]}],"member":"1968","published-online":{"date-parts":[[2020,1,18]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"114","DOI":"10.1016\/j.inffus.2006.04.001","article-title":"Image fusion: Advances in the state of the art","volume":"8","author":"Goshtasby","year":"2007","journal-title":"Inf. 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