{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,4]],"date-time":"2023-10-04T08:40:21Z","timestamp":1696408821412},"reference-count":31,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2016,4,8]],"date-time":"2016-04-08T00:00:00Z","timestamp":1460073600000},"content-version":"vor","delay-in-days":38,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int J Imaging Syst Tech"],"published-print":{"date-parts":[[2016,3]]},"abstract":"ABSTRACT<\/jats:title>In the magnetic resonance imaging (MRI) field, total variation (TV) which is the \n\u2010norm of the gradient\u2010magnitude images (GMI) is widely used as the regularization in the compressive sensing (CS) based reconstruction algorithm. Based on the classic augmented Lagrangian multiplier method, we propose a modified descent\u2010type alternating direction method (ADM) for solving the TV regularized reconstruction problems in the following sense: an iteration result generated by the ADM is utilized to generate a descent direction; an appropriate step size along this descent direction is identified; and the penalty parameters are updated. The proposed algorithm effectively combines alternating direction technique with the descent\u2010type method. Extensive results demonstrate that the proposed algorithm, is competitive with, and often outperforms, other state\u2010of\u2010the\u2010art solvers in the field.<\/jats:p>","DOI":"10.1002\/ima.22156","type":"journal-article","created":{"date-parts":[[2016,4,11]],"date-time":"2016-04-11T04:25:53Z","timestamp":1460348753000},"page":"43-54","source":"Crossref","is-referenced-by-count":2,"title":["MR<\/scp> imaging reconstruction using a modified descent\u2010type alternating direction method"],"prefix":"10.1002","volume":"26","author":[{"given":"Hao","family":"Chen","sequence":"first","affiliation":[{"name":"Department of Electronic Engineering and Information Science University of Science and Technology of China Hefei Anhui 230000 People's Republic of China"}]},{"given":"Jinxu","family":"Tao","sequence":"additional","affiliation":[{"name":"Department of Electronic Engineering and Information Science University of Science and Technology of China Hefei Anhui 230000 People's Republic of China"}]},{"given":"Yuli","family":"Sun","sequence":"additional","affiliation":[{"name":"Department of Electronic Engineering and Information Science University of Science and Technology of China Hefei Anhui 230000 People's Republic of China"}]},{"given":"Bensheng","family":"Qiu","sequence":"additional","affiliation":[{"name":"Department of Electronic Science and Technology University of Science and Technology of China Hefei Anhui 230000 People's Republic of China"}]},{"given":"Zhongfu","family":"Ye","sequence":"additional","affiliation":[{"name":"Department of Electronic Engineering and Information Science University of Science and Technology of China Hefei Anhui 230000 People's Republic of China"}]}],"member":"311","published-online":{"date-parts":[[2016,4,8]]},"reference":[{"key":"e_1_2_6_2_1","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/10\/6\/003"},{"key":"e_1_2_6_3_1","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2010.2076294"},{"key":"e_1_2_6_4_1","doi-asserted-by":"publisher","DOI":"10.1137\/080716542"},{"key":"e_1_2_6_5_1","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2009.2028250"},{"key":"e_1_2_6_6_1","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2007.909319"},{"key":"e_1_2_6_7_1","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.21236"},{"key":"e_1_2_6_8_1","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2005.862083"},{"key":"e_1_2_6_9_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00041-008-9045-x"},{"key":"e_1_2_6_10_1","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827596299767"},{"key":"e_1_2_6_11_1","first-page":"1181","article-title":"Recovery of blocky images from noisy and blurred data, SIAMJ","volume":"56","author":"Dobson D.C.","year":"1996","journal-title":"Appl Math"},{"key":"e_1_2_6_12_1","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2006.871582"},{"key":"e_1_2_6_13_1","first-page":"2899","article-title":"Efficient online and batch learning usingforward backword splitting","volume":"10","author":"Duchi J.","year":"2009","journal-title":"J. Mach Learn Res"},{"key":"e_1_2_6_14_1","doi-asserted-by":"publisher","DOI":"10.1080\/00401706.1979.10489751"},{"key":"e_1_2_6_15_1","volume-title":"Computational inverse problems in electrocardiology","author":"Hansen P.C.","year":"2000"},{"key":"e_1_2_6_16_1","doi-asserted-by":"publisher","DOI":"10.1023\/A:1004603514434"},{"key":"e_1_2_6_17_1","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.22595"},{"key":"e_1_2_6_18_1","first-page":"847","article-title":"An efficient operator splitting method for noise removal in images, Commun","volume":"1","author":"Krishnan D.","year":"2006","journal-title":"Comput Phys"},{"key":"e_1_2_6_19_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10589-013-9576-1"},{"key":"e_1_2_6_20_1","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.21391"},{"key":"e_1_2_6_21_1","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2007.914728"},{"key":"e_1_2_6_22_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10851-007-0650-0"},{"key":"e_1_2_6_23_1","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(92)90242-F"},{"key":"e_1_2_6_24_1","doi-asserted-by":"publisher","DOI":"10.1002\/ima.22097"},{"key":"e_1_2_6_25_1","doi-asserted-by":"publisher","DOI":"10.1088\/1674-1056\/23\/7\/078703"},{"key":"e_1_2_6_26_1","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2008.927346"},{"key":"e_1_2_6_27_1","doi-asserted-by":"publisher","DOI":"10.1137\/080724265"},{"key":"e_1_2_6_28_1","doi-asserted-by":"publisher","DOI":"10.1137\/070683374"},{"key":"e_1_2_6_29_1","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2009.2016892"},{"key":"e_1_2_6_30_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10851-011-0314-y"},{"key":"e_1_2_6_31_1","first-page":"288","article-title":"A fast alternating direction method for TVL1\u2010L2 signal reconstruction from partial Fourier data","volume":"4","author":"Yang J.","year":"2010","journal-title":"IEEE J Stsp"},{"key":"e_1_2_6_32_1","doi-asserted-by":"publisher","DOI":"10.1080\/10556780600552693"}],"container-title":["International Journal of Imaging Systems and Technology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fima.22156","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/ima.22156","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,3]],"date-time":"2023-10-03T20:19:32Z","timestamp":1696364372000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/ima.22156"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,3]]},"references-count":31,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2016,3]]}},"alternative-id":["10.1002\/ima.22156"],"URL":"https:\/\/doi.org\/10.1002\/ima.22156","archive":["Portico"],"relation":{},"ISSN":["0899-9457","1098-1098"],"issn-type":[{"value":"0899-9457","type":"print"},{"value":"1098-1098","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,3]]}}}