{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,20]],"date-time":"2025-10-20T10:17:51Z","timestamp":1760955471307},"reference-count":0,"publisher":"University of Zielona G\u00f3ra, Poland","issue":"2","license":[{"start":{"date-parts":[[2014,6,26]],"date-time":"2014-06-26T00:00:00Z","timestamp":1403740800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>With the aim to better preserve sharp edges and important structure features in the recovered image, this article researches an improved adaptive total variation regularization and H<jats:sup>\u22121<\/jats:sup> norm \ufb01delity based strategy for image decomposition and restoration. Computationally, for minimizing the proposed energy functional, we investigate an ef\ufb01cient numerical algorithm\u2014the split Bregman method, and brie\ufb02y prove its convergence. In addition, comparisons are also made with the classical OSV (Osher\u2013Sole\u2013Vese) model (Osher <jats:italic>et al.<\/jats:italic>, 2003) and the TV-Gabor model (Aujol <jats:italic>et al.,<\/jats:italic> 2006), in terms of the edge-preserving capability and the recovered results. Numerical experiments markedly demonstrate that our novel scheme yields signi\ufb01cantly better outcomes in image decomposition and denoising than the existing models.<\/jats:p>","DOI":"10.2478\/amcs-2014-0031","type":"journal-article","created":{"date-parts":[[2014,6,30]],"date-time":"2014-06-30T20:22:53Z","timestamp":1404159773000},"page":"405-415","source":"Crossref","is-referenced-by-count":4,"title":["An efficient algorithm for adaptive total variation based image decomposition and restoration"],"prefix":"10.61822","volume":"24","author":[{"given":"Xinwu","family":"Liu","sequence":"first","affiliation":[{"name":"School of Mathematics and Computational Science Hunan University of Science and Technology, Xiangtan, Hunan 411201, China"}]},{"given":"Lihong","family":"Huang","sequence":"additional","affiliation":[]}],"member":"37438","published-online":{"date-parts":[[2014,6,26]]},"container-title":["International Journal of Applied Mathematics and Computer Science"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/content.sciendo.com\/view\/journals\/amcs\/24\/2\/article-p405.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.sciendo.com\/pdf\/10.2478\/amcs-2014-0031","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,29]],"date-time":"2024-02-29T10:28:36Z","timestamp":1709202516000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.sciendo.com\/article\/10.2478\/amcs-2014-0031"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,6,26]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2014,6,26]]}},"alternative-id":["10.2478\/amcs-2014-0031"],"URL":"https:\/\/doi.org\/10.2478\/amcs-2014-0031","relation":{},"ISSN":["2083-8492"],"issn-type":[{"value":"2083-8492","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,6,26]]}}}