{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T08:18:48Z","timestamp":1774599528923,"version":"3.50.1"},"reference-count":44,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"10","license":[{"start":{"date-parts":[[1999,1,1]],"date-time":"1999-01-01T00:00:00Z","timestamp":915148800000},"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. Signal Process."],"published-print":{"date-parts":[[1999]]},"DOI":"10.1109\/78.790659","type":"journal-article","created":{"date-parts":[[2002,8,24]],"date-time":"2002-08-24T19:31:03Z","timestamp":1030217463000},"page":"2783-2795","source":"Crossref","is-referenced-by-count":144,"title":["Quantitative Fourier analysis of approximation techniques. I. Interpolators and projectors"],"prefix":"10.1109","volume":"47","author":[{"given":"T.","family":"Blu","sequence":"first","affiliation":[]},{"given":"M.","family":"Unser","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/78.193220"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1006\/gmip.1993.1035"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1006\/jath.1993.1002"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1986-0845982-1"},{"key":"ref31","first-page":"787","article-title":"approximation from shift invariant subspaces of <formula><tex>${\\bf l}^{2}({\\bbr}^d)$<\/tex><\/formula>","volume":"341","author":"de boor","year":"1994","journal-title":"Trans Amer Math Soc"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-009-2017-0_10"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1016\/0734-189X(83)90026-9"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1006\/acha.1996.0016"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1007\/BF01890564"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1007\/BF01208904"},{"key":"ref10","author":"vetterli","year":"1995","journal-title":"Wavelets and Subband Coding"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1109\/78.193221"},{"key":"ref11","author":"strang","year":"1996","journal-title":"Wavelets and Filter Banks"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970104"},{"key":"ref13","author":"mallat","year":"1998","journal-title":"A Wavelet Tour of Signal Processing"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1137\/0143019"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/18.119742"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1080\/01630569408816545"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/78.330352"},{"key":"ref18","first-page":"796","article-title":"a fourier analysis of the finite element variational method","author":"strang","year":"1971","journal-title":"Constructive Aspect of Functional Analysis"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9045(73)90029-4"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/34.192463"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/PROC.1981.11969"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160410705"},{"key":"ref3","first-page":"500","article-title":"precision processing of earth image data","volume":"64","author":"bernstein","year":"1976","journal-title":"Amer Sci"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/JRPROC.1949.232969"},{"key":"ref29","author":"meyer","year":"1990","journal-title":"Ondelettes"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/79.482137"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/34.75514"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/TASSP.1981.1163711"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.1983.4307610"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/78.258103"},{"key":"ref1","author":"pratt","year":"1978","journal-title":"Digital Image Processing"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1007\/BF01386401"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/78.599940"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/78.489025"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/78.564177"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/s002110050068"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/83.465102"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1137\/0731065"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1109\/78.790660"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1137\/0523086"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1109\/18.108253"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1006\/acha.1998.0249"}],"container-title":["IEEE Transactions on Signal Processing"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/78\/17167\/00790659.pdf?arnumber=790659","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,11,29]],"date-time":"2021-11-29T20:15:33Z","timestamp":1638216933000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/790659\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999]]},"references-count":44,"journal-issue":{"issue":"10"},"URL":"https:\/\/doi.org\/10.1109\/78.790659","relation":{},"ISSN":["1053-587X"],"issn-type":[{"value":"1053-587X","type":"print"}],"subject":[],"published":{"date-parts":[[1999]]}}}