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In the latter case, we consider a reblurring approach that replaces the transposition operation with correlation. For many of the considered items, the anti\u2010reflective algebra coming from the given boundary conditions is the optimal choice. Numerical experiments corroborating the previous statement and a conclusion section end the paper.<\/jats:p>","DOI":"10.1155\/2010\/241467","type":"journal-article","created":{"date-parts":[[2010,9,21]],"date-time":"2010-09-21T18:36:19Z","timestamp":1285094179000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":16,"title":["Antireflective Boundary Conditions for Deblurring Problems"],"prefix":"10.1155","volume":"2010","author":[{"given":"Marco","family":"Donatelli","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Stefano","family":"Serra-Capizzano","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2010,9,21]]},"reference":[{"key":"e_1_2_7_1_2","volume-title":"Digital Image Restoration","author":"Andrews H.","year":"1977"},{"key":"e_1_2_7_2_2","doi-asserted-by":"publisher","DOI":"10.1137\/S0036144594276474"},{"key":"e_1_2_7_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-1684(84)90053-7"},{"key":"e_1_2_7_4_2","doi-asserted-by":"crossref","first-page":"431","DOI":"10.1137\/S0895479897331941","article-title":"Any circulant-like preconditioner for multilevel matrices is not superlinear","volume":"21","author":"Serra-Capizzano S.","year":"2000","journal-title":"SIAM Journal on Matrix Analysis and Applications"},{"key":"e_1_2_7_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(01)00361-5"},{"key":"e_1_2_7_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2004.01.007"},{"key":"e_1_2_7_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01389448"},{"key":"e_1_2_7_8_2","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827594271512"},{"key":"e_1_2_7_9_2","doi-asserted-by":"publisher","DOI":"10.1002\/nla.446"},{"key":"e_1_2_7_10_2","doi-asserted-by":"crossref","unstructured":"ChanR. 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