{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,8]],"date-time":"2026-04-08T21:10:40Z","timestamp":1775682640905,"version":"3.50.1"},"reference-count":59,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Multiscale Model. Simul."],"published-print":{"date-parts":[[2017,1]]},"DOI":"10.1137\/15m1040177","type":"journal-article","created":{"date-parts":[[2017,3,28]],"date-time":"2017-03-28T11:58:46Z","timestamp":1490702326000},"page":"575-605","source":"Crossref","is-referenced-by-count":28,"title":["A Complex Version of the Cahn--Hilliard Equation for Grayscale Image Inpainting"],"prefix":"10.1137","volume":"15","author":[{"given":"Laurence","family":"Cherfils","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hussein","family":"Fakih","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alain","family":"Miranville","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"351","reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1109\/83.935036"},{"key":"atypb3","first-page":"335","author":"Bertalmio M.","year":"2001","journal-title":"Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition"},{"key":"atypb4","first-page":"417","author":"Bertalmio M.","year":"2000","journal-title":"New York"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2006.887728"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1137\/060660631"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1137\/130921842"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1137\/15M101405X"},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1137\/080728548"},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.1016\/0001-6160(61)90182-1"},{"key":"atypb12","doi-asserted-by":"publisher","DOI":"10.1063\/1.1744102"},{"key":"atypb14","doi-asserted-by":"publisher","DOI":"10.1137\/S0036139900368844"},{"key":"atypb15","doi-asserted-by":"publisher","DOI":"10.1006\/jvci.2001.0487"},{"key":"atypb16","doi-asserted-by":"publisher","DOI":"10.1137\/S0036139901390088"},{"key":"atypb17","doi-asserted-by":"publisher","DOI":"10.3934\/ipi.2015.9.105"},{"key":"atypb18","doi-asserted-by":"publisher","DOI":"10.1137\/140985627"},{"key":"atypb19","doi-asserted-by":"publisher","DOI":"10.1007\/s10851-015-0593-9"},{"key":"atypb20","doi-asserted-by":"publisher","DOI":"10.1007\/s00032-011-0165-4"},{"key":"atypb21","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2014.19.2013"},{"key":"atypb22","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.2010.27.1511"},{"key":"atypb23","doi-asserted-by":"publisher","DOI":"10.1007\/BF00276132"},{"key":"atypb24","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2015.20.1529"},{"key":"atypb25","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2008.919367"},{"key":"atypb26","doi-asserted-by":"publisher","DOI":"10.4171\/IFB\/243"},{"key":"atypb27","doi-asserted-by":"publisher","DOI":"10.1137\/100812859"},{"key":"atypb28","doi-asserted-by":"publisher","DOI":"10.4171\/IFB\/64"},{"key":"atypb30","doi-asserted-by":"publisher","DOI":"10.1016\/S0764-4442(00)00259-7"},{"key":"atypb31","doi-asserted-by":"publisher","DOI":"10.1002\/mana.200310186"},{"key":"atypb33","doi-asserted-by":"publisher","DOI":"10.1007\/BF01396363"},{"key":"atypb35","doi-asserted-by":"publisher","DOI":"10.1023\/A:1021837026373"},{"key":"atypb36","first-page":"1","volume":"2000","author":"Esedoglu S.","year":"2000","journal-title":"European J. Appl. Math."},{"key":"atypb38","first-page":"39","author":"Eyre D.J.","year":"1998","journal-title":"Cambridge"},{"key":"atypb39","first-page":"71","volume":"94","author":"Fakih H.","year":"2015","journal-title":"Asympt. Anal."},{"key":"atypb40","first-page":"353","volume":"13","author":"Fife P.C.","year":"2002","journal-title":"Electron. J. Differential Equations"},{"key":"atypb41","doi-asserted-by":"publisher","DOI":"10.1142\/S0218202510004635"},{"key":"atypb42","first-page":"349","volume":"10","author":"Greer J.B.","year":"2004","journal-title":"Discrete Contin. Dyn. Syst."},{"key":"atypb43","doi-asserted-by":"publisher","DOI":"10.1137\/S0036141003427373"},{"key":"atypb44","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2005.11.031"},{"key":"atypb45","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-44935-3_16"},{"key":"atypb46","doi-asserted-by":"publisher","DOI":"10.1515\/jnum-2012-0013"},{"key":"atypb47","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.2008.22.1065"},{"key":"atypb48","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.77.051129"},{"key":"atypb50","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.74.031902"},{"key":"atypb51","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-002-0693-4"},{"key":"atypb53","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4916(71)90162-X"},{"key":"atypb54","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1222339110"},{"key":"atypb55","doi-asserted-by":"publisher","DOI":"10.1007\/s002200050397"},{"key":"atypb56","doi-asserted-by":"publisher","DOI":"10.1007\/s002050050196"},{"key":"atypb58","doi-asserted-by":"publisher","DOI":"10.1080\/00036811.2012.671301"},{"key":"atypb59","first-page":"137","author":"Miranville A.","year":"2015","journal-title":"New York"},{"key":"atypb60","first-page":"103","author":"Miranville A.","year":"2008","journal-title":"Amsterdam"},{"key":"atypb61","doi-asserted-by":"publisher","DOI":"10.1080\/03605308908820597"},{"key":"atypb62","first-page":"965","volume":"8","author":"Novick-Cohen A.","year":"1998","journal-title":"Adv. Math. Sci. Appl."},{"key":"atypb64","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.69.931"},{"key":"atypb65","doi-asserted-by":"publisher","DOI":"10.1109\/34.56205"},{"key":"atypb66","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(92)90242-F"},{"key":"atypb67","doi-asserted-by":"publisher","DOI":"10.4310\/CMS.2011.v9.n2.a4"},{"key":"atypb68","first-page":"36","author":"Shen J.","year":"1997","journal-title":"SIAM News"},{"key":"atypb70","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2003.09.048"},{"key":"atypb71","doi-asserted-by":"publisher","DOI":"10.1086\/345963"}],"container-title":["Multiscale Modeling &amp; Simulation"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/15M1040177","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,3,30]],"date-time":"2017-03-30T13:53:32Z","timestamp":1490882012000},"score":1,"resource":{"primary":{"URL":"http:\/\/epubs.siam.org\/doi\/10.1137\/15M1040177"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,1]]},"references-count":59,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2017,1]]}},"alternative-id":["10.1137\/15M1040177"],"URL":"https:\/\/doi.org\/10.1137\/15m1040177","relation":{},"ISSN":["1540-3459","1540-3467"],"issn-type":[{"value":"1540-3459","type":"print"},{"value":"1540-3467","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,1]]}}}