{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,27]],"date-time":"2026-05-27T13:50:53Z","timestamp":1779889853454,"version":"3.53.1"},"reference-count":19,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Asia Pac. J. Oper. Res."],"published-print":{"date-parts":[[2020,8]]},"abstract":"<jats:p> In this paper, we apply an inexact dual alternating direction method of multipliers (dADMM) to an image decomposition model. In this model, an image is divided into two meaningful components, i.e., a cartoon part and a texture part. The dADMM presents not only the cartoon part and the texture part of an image but also the restored image (cartoon [Formula: see text] part). We also summarize the global convergence for the algorithm. Numerical experiments demonstrate the efficiency and robustness of the inexact dADMM. Furthermore, we can obtain relatively higher signal-to-noise ratio (SNR) comparing to other algorithms. <\/jats:p>","DOI":"10.1142\/s0217595920400102","type":"journal-article","created":{"date-parts":[[2020,6,3]],"date-time":"2020-06-03T02:28:57Z","timestamp":1591151337000},"page":"2040010","source":"Crossref","is-referenced-by-count":4,"title":["An Inexact Dual Alternating Direction Method of Multipliers for Image Decomposition and Restoration"],"prefix":"10.1142","volume":"37","author":[{"given":"Qingsong","family":"Wang","sequence":"first","affiliation":[{"name":"School of Mathematics, Southwest Jiaotong University, No. 999, Xian Road, West Park, High-tech Zone, Chengdu 611756, China"},{"name":"School of Mathematical Sciences, Beihang University, No. 37 Xueyuan Road, Haidian District, Beijing 100191, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Chengjing","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mathematics and National Engineering Laboratory of Integrated Transportation Big Data Application Technology, Southwest Jiaotong University, No. 999, Xian Road, West Park, High-tech Zone, Chengdu 611756, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Peipei","family":"Tang","sequence":"additional","affiliation":[{"name":"School of Computer and Computing Science, Zhejiang University City College, Hangzhou 310015, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Dunbiao","family":"Niu","sequence":"additional","affiliation":[{"name":"College of Mathematics, Sichuan University, No. 24 South Section 1, Yihuan Road, Chengdu 610065, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2020,6,2]]},"reference":[{"key":"S0217595920400102BIB001","series-title":"Pure and Applied Mathematics","volume-title":"Sobolev Spaces.","author":"Adams R","year":"1975"},{"key":"S0217595920400102BIB002","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-7928-6"},{"key":"S0217595920400102BIB003","doi-asserted-by":"publisher","DOI":"10.1007\/s10851-005-4783-8"},{"key":"S0217595920400102BIB004","doi-asserted-by":"publisher","DOI":"10.1007\/s11263-005-4948-3"},{"key":"S0217595920400102BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/s11263-006-4331-z"},{"key":"S0217595920400102BIB006","doi-asserted-by":"publisher","DOI":"10.3934\/ipi.2010.4.379"},{"key":"S0217595920400102BIB007","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2013.2278339"},{"key":"S0217595920400102BIB008","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-016-1007-5"},{"key":"S0217595920400102BIB009","first-page":"41","volume":"2","author":"Glowinski R","year":"1975","journal-title":"Revue France Automation Information Technology Oprational Annals Numb\u00e9r"},{"key":"S0217595920400102BIB010","doi-asserted-by":"publisher","DOI":"10.1007\/s10851-014-0510-7"},{"key":"S0217595920400102BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/j.bspc.2017.10.001"},{"key":"S0217595920400102BIB012","doi-asserted-by":"publisher","DOI":"10.1109\/AISP.2017.8324121"},{"key":"S0217595920400102BIB013","doi-asserted-by":"publisher","DOI":"10.1137\/090770795"},{"key":"S0217595920400102BIB014","series-title":"University Lecture Series","volume-title":"Oscillating Patterns in Image Processing and Nonlinear Evolution Equations","volume":"22","author":"Meyer Y","year":"2002"},{"key":"S0217595920400102BIB015","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2013.2246520"},{"key":"S0217595920400102BIB016","doi-asserted-by":"publisher","DOI":"10.1109\/CVPR.2013.232"},{"key":"S0217595920400102BIB017","doi-asserted-by":"publisher","DOI":"10.1515\/9781400873173"},{"key":"S0217595920400102BIB018","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(92)90242-F"},{"key":"S0217595920400102BIB019","doi-asserted-by":"publisher","DOI":"10.1023\/A:1025384832106"}],"container-title":["Asia-Pacific Journal of Operational Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0217595920400102","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,8,28]],"date-time":"2020-08-28T08:33:03Z","timestamp":1598603583000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0217595920400102"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,6,2]]},"references-count":19,"journal-issue":{"issue":"04","published-print":{"date-parts":[[2020,8]]}},"alternative-id":["10.1142\/S0217595920400102"],"URL":"https:\/\/doi.org\/10.1142\/s0217595920400102","relation":{},"ISSN":["0217-5959","1793-7019"],"issn-type":[{"value":"0217-5959","type":"print"},{"value":"1793-7019","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,6,2]]}}}