{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,4,6]],"date-time":"2024-04-06T18:40:12Z","timestamp":1712428812759},"reference-count":13,"publisher":"World Scientific Pub Co Pte Ltd","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2011,7]]},"abstract":"<jats:p>A generic technique for construction of ternary interpolatory subdivision schemes, which is based on polynomial and discrete splines, is presented. These schemes have rational symbols. The symbols are explicitly presented in the paper. This is accompanied by a detailed description of the design of the refinement masks and by algorithms that verify the convergence of these schemes. In addition, the smoothness of the limit functions is investigated. The ternary subdivision schemes, whose construction is based on continuous splines, become tools for fast computation of\u0131ory s of arbitrary order at triadic rational points.<\/jats:p>","DOI":"10.1142\/s0219691311004249","type":"journal-article","created":{"date-parts":[[2011,5,13]],"date-time":"2011-05-13T03:30:05Z","timestamp":1305257405000},"page":"611-633","source":"Crossref","is-referenced-by-count":2,"title":["TERNARY INTERPOLATORY SUBDIVISION SCHEMES ORIGINATED FROM SPLINES"],"prefix":"10.1142","volume":"09","author":[{"given":"AMIR Z.","family":"AVERBUCH","sequence":"first","affiliation":[{"name":"School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"VALERY A.","family":"ZHELUDEV","sequence":"additional","affiliation":[{"name":"School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"GARY B.","family":"FATAKHOV","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"EDUARD H.","family":"YAKUBOV","sequence":"additional","affiliation":[{"name":"Department of Sciences, Holon Academic Institute of Technology, 52 Golomb Street, Holon 58102, Israel"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01888150"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-04388-2_3"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/s10444-004-4149-6"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1142\/S0219691307001756"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-1684(01)00122-0"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2006.870562"},{"key":"rf7","unstructured":"A. Z.\u00a0Averbuch and V. A.\u00a0Zheludev, Advances in Signal Transforms: Theory and Applications, eds. J.\u00a0Astola and L.\u00a0Yaroslavsky (Hindawi Publishing Corporation, 2007)\u00a0pp. 1\u201356."},{"key":"rf8","doi-asserted-by":"crossref","first-page":"66","DOI":"10.1007\/BF02856150","volume":"14","author":"Zheludev V. A.","journal-title":"Approx. Theory Appl."},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1109\/78.229887"},{"key":"rf10","doi-asserted-by":"crossref","first-page":"112","DOI":"10.1090\/qam\/16705","volume":"4","author":"Schoenberg I. J.","journal-title":"Quart. Appl. Math."},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9045(69)90040-9"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-8396(01)00084-X"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1007\/s10444-008-9087-2"}],"container-title":["International Journal of Wavelets, Multiresolution and Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219691311004249","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,4,6]],"date-time":"2024-04-06T18:13:51Z","timestamp":1712427231000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219691311004249"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,7]]},"references-count":13,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2011,7]]}},"alternative-id":["10.1142\/S0219691311004249"],"URL":"https:\/\/doi.org\/10.1142\/s0219691311004249","relation":{},"ISSN":["0219-6913","1793-690X"],"issn-type":[{"value":"0219-6913","type":"print"},{"value":"1793-690X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,7]]}}}