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Different from the existing norm based operators that are a uniform method proposed on regular image grids, our nonuniform method is not limited to special type of datum and grid structure, which has better performance for image analysis tasks. Besides, a strategy based on proximal algorithms is put forward to obtain fast convergence in practice due to the nonconvex and nonsmooth property of the corresponding optimization. Though the model with our proposed nonuniform operator can be used for various applications, the authors chose the tasks of image smoothing and saliency detection to demonstrate the good performances of our nonuniform method and show its superiority against other state-of-the-art alternatives.<\/p>","DOI":"10.4018\/ijghpc.2018070102","type":"journal-article","created":{"date-parts":[[2018,5,3]],"date-time":"2018-05-03T16:13:58Z","timestamp":1525364038000},"page":"14-28","source":"Crossref","is-referenced-by-count":1,"title":["A Nonuniform Method for Extracting Attractive Structures From Images"],"prefix":"10.4018","volume":"10","author":[{"given":"Yiyang","family":"Wang","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Dalian University of Technology, Dalian, China"}]},{"given":"Zhiying","family":"Jiang","sequence":"additional","affiliation":[{"name":"School of Software Technology, Dalian University of Technology, Dalian, China"}]},{"given":"Zhixun","family":"Su","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Dalian University of Technology, Dalian, China"}]}],"member":"2432","reference":[{"key":"IJGHPC.2018070102-0","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2012.120"},{"key":"IJGHPC.2018070102-1","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2013.2245716"},{"key":"IJGHPC.2018070102-2","doi-asserted-by":"publisher","DOI":"10.1007\/s00041-008-9035-z"},{"key":"IJGHPC.2018070102-3","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2009.04.002"},{"key":"IJGHPC.2018070102-4","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-013-0701-9"},{"key":"IJGHPC.2018070102-5","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-06404-8_4"},{"key":"IJGHPC.2018070102-6","doi-asserted-by":"publisher","DOI":"10.1007\/s00041-008-9041-1"},{"key":"IJGHPC.2018070102-7","doi-asserted-by":"publisher","DOI":"10.1007\/s00041-008-9041-1"},{"key":"IJGHPC.2018070102-8","author":"K.Bredies","year":"2015","journal-title":"Minimization of Non-smooth, Non-convex Functionals by Iterative Thresholding"},{"key":"IJGHPC.2018070102-9","doi-asserted-by":"publisher","DOI":"10.1007\/s00041-008-9045-x"},{"key":"IJGHPC.2018070102-10","doi-asserted-by":"publisher","DOI":"10.1016\/j.jvcir.2012.10.006"},{"key":"IJGHPC.2018070102-11","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2007.898300"},{"key":"IJGHPC.2018070102-12","article-title":"Real-time, large-scale duplicate image detection method based on multi-feature fusion.","author":"M.Chen","year":"2017","journal-title":"Journal of Real-Time Image Processing"},{"key":"IJGHPC.2018070102-13","author":"M.Cheng","year":"2014","journal-title":"BING: Binarized normed gradients for objectness estimation at 300fps"},{"key":"IJGHPC.2018070102-14","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2014.2345401"},{"key":"IJGHPC.2018070102-15","doi-asserted-by":"publisher","DOI":"10.1109\/JSTARS.2013.2263309"},{"key":"IJGHPC.2018070102-16","article-title":"Stochastic Context-Aware Saliency Detection.","author":"B.Gao","year":"2011","journal-title":"International Conference on Computer and Management"},{"key":"IJGHPC.2018070102-17","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2011.272"},{"key":"IJGHPC.2018070102-18","author":"I. 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