{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,12]],"date-time":"2026-05-12T23:47:49Z","timestamp":1778629669999,"version":"3.51.4"},"reference-count":54,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"6","license":[{"start":{"date-parts":[[2013,6,1]],"date-time":"2013-06-01T00:00:00Z","timestamp":1370044800000},"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. Inform. Theory"],"published-print":{"date-parts":[[2013,6]]},"DOI":"10.1109\/tit.2013.2244165","type":"journal-article","created":{"date-parts":[[2013,2,23]],"date-time":"2013-02-23T04:53:33Z","timestamp":1361595213000},"page":"3554-3571","source":"Crossref","is-referenced-by-count":7,"title":["Coset Sum: An Alternative to the Tensor Product in Wavelet Construction"],"prefix":"10.1109","volume":"59","author":[{"given":"Youngmi","family":"Hur","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fang","family":"Zheng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970104"},{"key":"ref38","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-2244-4","author":"de boor","year":"1993","journal-title":"Box Splines"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1023\/A:1018950126225"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1137\/110830654"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160450502"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1007\/BF02648888"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1007\/s10444-005-7476-3"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1137\/S0036141098336418"},{"key":"ref35","author":"mallat","year":"1999","journal-title":"A Wavelet Tour of Signal Processing"},{"key":"ref34","author":"meyer","year":"1992","journal-title":"Wavelets and Operators"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142997325611"},{"key":"ref27","volume":"93","author":"cavaretta","year":"1991","journal-title":"Stationary Subdivision"},{"key":"ref29","author":"strang","year":"1997","journal-title":"Wavelets and Filter Banks"},{"key":"ref2","first-page":"264","article-title":"Construction of compactly supported biorthogonal wavelets in ${L}_{2}({ \\BBR }^{\\rm d})$ II","author":"riemenschneider","year":"1999","journal-title":"Proc Wavelet Appl Signal Image Process VII"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/34.192463"},{"key":"ref20","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1049\/ip-i-2.1993.0010","article-title":"theory and design of multidimensional qmf sub-band filters from 1-d filters and polynomials using transforms","volume":"140","author":"shah","year":"1993","journal-title":"IEE Proceedings I - Communications Speech and Vision"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/78.506606"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1049\/el:19870453"},{"key":"ref24","first-page":"138","article-title":"New constructions of piecewise-constant wavelets","volume":"25","author":"hur","year":"2006","journal-title":"Electron Trans Numer Anal"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/78.277856"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/TASSP.1982.1163913"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2008.920214"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1002\/9780470744635.ch1"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1137\/05064182X"},{"key":"ref54","article-title":"CAPlets: Wavelet representations without wavelets I&#x2014;The algorithms","author":"hur","year":"2009","journal-title":"Preprint"},{"key":"ref53","first-page":"105","article-title":"Curvelets&#x2014;A surprisingly effective nonadaptive representation for objects with edges","author":"cand\u00e8s","year":"2000","journal-title":"Curves and Surfaces"},{"key":"ref52","author":"c\u00e8s","year":"2008","journal-title":"CurveLab Toolbox Version 2 1 3"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/s102310100033"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479802412735"},{"key":"ref40","first-page":"44","article-title":"Interpolation dyadique","author":"deslauriers","year":"1987","journal-title":"Fractals dimensions non enti&#x00E8 res et applications"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2004.12.028"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2009.01.021"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2009.2030479"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2010.2055570"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/s10440-009-9537-y"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/83.242356"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/78.370620"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/78.127960"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/BF01198004"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/18.119722"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1023\/A:1008264805830"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/78.382414"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1006\/acha.1998.0245"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142995294310"},{"key":"ref49","year":"2011","journal-title":"Wavelet Toolbox Version 4 7 (R2011a)"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1111\/1467-9590.00108"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1006\/acha.1996.0015"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2002.1010039"},{"key":"ref48","author":"gil","year":"2006","journal-title":"On the design of fast and efficient wavelet image coders with reduced memory usage"},{"key":"ref47","first-page":"480","article-title":"Wavelet families of increasing order in arbitrary dimensions","volume":"9","author":"kova?evi?","year":"2000","journal-title":"IEEE Trans Signal Process"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2010.2066271"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1023\/A:1018999220348"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-96-00714-4"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1109\/TCOM.1983.1095851"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/6516641\/06469231.pdf?arnumber=6469231","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,11,29]],"date-time":"2021-11-29T20:47:43Z","timestamp":1638218863000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/6469231\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,6]]},"references-count":54,"journal-issue":{"issue":"6"},"URL":"https:\/\/doi.org\/10.1109\/tit.2013.2244165","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,6]]}}}