{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,29]],"date-time":"2026-03-29T06:14:44Z","timestamp":1774764884951,"version":"3.50.1"},"reference-count":45,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"6","license":[{"start":{"date-parts":[[2012,6,1]],"date-time":"2012-06-01T00:00:00Z","timestamp":1338508800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. on Image Process."],"published-print":{"date-parts":[[2012,6]]},"DOI":"10.1109\/tip.2012.2188033","type":"journal-article","created":{"date-parts":[[2012,2,14]],"date-time":"2012-02-14T22:09:13Z","timestamp":1329257353000},"page":"3004-3016","source":"Crossref","is-referenced-by-count":24,"title":["An Alternating Direction Algorithm for Total Variation Reconstruction of Distributed Parameters"],"prefix":"10.1109","volume":"21","author":[{"given":"Nuno B.","family":"Bras","sequence":"first","affiliation":[]},{"given":"J.","family":"Bioucas-Dias","sequence":"additional","affiliation":[]},{"given":"Raul C.","family":"Martins","sequence":"additional","affiliation":[]},{"given":"A. C.","family":"Serra","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref39","author":"esser","year":"2009","journal-title":"Applications of Lagrangian-based alternating direction methods and connections to split Bregman"},{"key":"ref38","first-page":"597","author":"chan","year":"1997","journal-title":"Comput Sci 21st Century"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2006.884196"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1016\/0898-1221(76)90003-1"},{"key":"ref31","first-page":"41","article-title":"Sur lıacute;approximation, par elements finis de ordre un, et la resolution, par penalisation-dualite dune classe de problemes de dirichlet non lineares","volume":"9","author":"glowinski","year":"1975","journal-title":"Revue Francaise d Automatique informatique et Recherche Operationelle"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1007\/BF01581204"},{"key":"ref37","author":"bertsekas","year":"1999","journal-title":"Nonlinear Programming"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2010.2045029"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2010.2076294"},{"key":"ref34","author":"combettes","year":"2009","journal-title":"Proximal Splitting Methods in Signal Processing"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(92)90242-F"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1561\/2200000016"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827599326020"},{"key":"ref12","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1023\/B:JMIV.0000011321.19549.88","article-title":"An algorithm for total variation minimization and applications","volume":"20","author":"chambolle","year":"2004","journal-title":"J Math Imag Vis"},{"key":"ref13","first-page":"1","article-title":"A-unified variational framework for image restoration","volume":"3024","author":"bect","year":"2004","journal-title":"Proc ECCV"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1137\/080725891"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2007.909319"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2010.2047910"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1137\/080724265"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/JSTSP.2010.2042333"},{"key":"ref19","first-page":"502","article-title":"Augmented Lagrangian method, dual methods and split bregman iteration for ROF model","author":"tai","year":"2009","journal-title":"Proc 2nd Int Conf SSVM"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012997318602"},{"key":"ref4","author":"nielsen","year":"1996","journal-title":"An upscaling method for one-phase flow in heterogeneous reservoirs A weightedoutputleastsquaresapproach"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827598346740"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1190\/1.1444893"},{"key":"ref6","author":"bangerth","year":"2002","journal-title":"Adaptive finite element methods for the identification of distributed parameters in partial differential equations"},{"key":"ref29","author":"jorge nocedal","year":"2000","journal-title":"Numerical Optimization"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1029\/WR022i002p00095"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479897317703"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1080\/10407797908547109"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1137\/S0036144598333613"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.2140\/camcos.2009.4.1"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898717570"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/23\/3\/007"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1137\/080716542"},{"key":"ref22","doi-asserted-by":"crossref","first-page":"1847","DOI":"10.1088\/0266-5611\/17\/6\/319","article-title":"Preconditioned all-at-once methods for large, sparse parameter estimation problems","volume":"17","author":"haber","year":"2001","journal-title":"Inverse Problems"},{"key":"ref21","article-title":"Electric current density imaging via an accelerated iterative algorithm with joint sparsity constraintsconstraints","author":"bretti","year":"2009","journal-title":"Proc SPARS"},{"key":"ref42","first-page":"464","article-title":"Split Bregman algorithm, douglas-rachford splitting and frame shrinkage","author":"setzer","year":"2009","journal-title":"Proc 2nd Int Conf SSVM"},{"key":"ref24","author":"kuruvila","year":"1994","journal-title":"Airfoil optimization by the one-shot method"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1137\/0917016"},{"key":"ref23","first-page":"1","article-title":"A multigrid method for distributed parameter estimation problems","volume":"15","author":"ascher","year":"2003","journal-title":"Electron Trans Numer Anal"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2006.10.012"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1137\/0328006"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142993255253"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1080\/10618569808940863"}],"container-title":["IEEE Transactions on Image Processing"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/83\/6198806\/06152152.pdf?arnumber=6152152","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,10,10]],"date-time":"2021-10-10T23:54:22Z","timestamp":1633910062000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/6152152\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,6]]},"references-count":45,"journal-issue":{"issue":"6"},"URL":"https:\/\/doi.org\/10.1109\/tip.2012.2188033","relation":{},"ISSN":["1057-7149","1941-0042"],"issn-type":[{"value":"1057-7149","type":"print"},{"value":"1941-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,6]]}}}