{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T22:46:54Z","timestamp":1649198814166},"reference-count":14,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2008,1]]},"abstract":"<jats:p> In this paper, we present a new class of iterative regularization methods in the setting of Besov spaces, which can be seen as generalizations of J. Xu's method. By incorporating translation invariant wavelet transform, minimizers of the new methods can be understood as the alternative to translation invariant wavelet shrinkage with weight that is dependent on the wavelet decomposition scale and the Besov smooth order. And we generalize the iterative regularization methods to a new class of nonlinear inverse scale spaces with scale and Besov smooth order dependent weight. The numerical results show an excellent denoising effect and improvement over J. Xu's method. <\/jats:p>","DOI":"10.1142\/s0219691308002239","type":"journal-article","created":{"date-parts":[[2008,1,10]],"date-time":"2008-01-10T04:48:32Z","timestamp":1199940512000},"page":"83-95","source":"Crossref","is-referenced-by-count":9,"title":["ITERATIVE REGULARIZATION AND NONLINEAR INVERSE SCALE SPACE BASED ON TRANSLATION INVARIANT WAVELET SHRINKAGE"],"prefix":"10.1142","volume":"06","author":[{"given":"MIN","family":"LI","sequence":"first","affiliation":[{"name":"School of Science, Xidian University, Xi'an, 710071, P. R. China"}]},{"given":"BINBIN","family":"HAO","sequence":"additional","affiliation":[{"name":"School of Science, Xidian University, Xi'an, 710071, P. R. China"}]},{"given":"XIANGCHU","family":"FENG","sequence":"additional","affiliation":[{"name":"School of Science, Xidian University, Xi'an, 710071, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1137\/S003614299529230X"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1109\/18.382009"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1142\/S0219691304000688"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1142\/S021969130500097X"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1109\/83.661182"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142903422429"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1137\/040605412"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1007\/11567646_3"},{"key":"rf12","first-page":"175","volume":"4","author":"Burger M.","journal-title":"Comm. Math. Sci."},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(92)90242-F"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1016\/0041-5553(67)90040-7"},{"key":"rf17","series-title":"Verlag der Wissenschaften","volume-title":"Interpolation Theory, Function Spaces, Differential Operators","author":"Triebel H.","year":"1978"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1109\/83.931093"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2004.12.004"}],"container-title":["International Journal of Wavelets, Multiresolution and Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219691308002239","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T13:22:28Z","timestamp":1565184148000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219691308002239"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,1]]},"references-count":14,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2008,1]]}},"alternative-id":["10.1142\/S0219691308002239"],"URL":"https:\/\/doi.org\/10.1142\/s0219691308002239","relation":{},"ISSN":["0219-6913","1793-690X"],"issn-type":[{"value":"0219-6913","type":"print"},{"value":"1793-690X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,1]]}}}