{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T23:23:42Z","timestamp":1648769022789},"reference-count":8,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2007,9]]},"abstract":"<jats:p> This paper introduces the higher-density dual-tree (HDDT) discrete wavelet transform (DWT). A new MRA is introduced to describe higher-density DWT and used to obtain the sufficient condition for the HDDT Hilbert transform pair. In designing HDDT filters we use the extended common-factor method which not only includes the common-factor method but also provides exact linear phase bi-frame filters. Both HDDT tight frame and bi-frame (anti)symmetric filter design methods are given. At last, the results of denoising experiments by our newly designed HDDT filters in this paper prove the effectiveness of higher-density dual-tree DWT in the application of image processing. <\/jats:p>","DOI":"10.1142\/s0219691307002063","type":"journal-article","created":{"date-parts":[[2007,9,4]],"date-time":"2007-09-04T11:33:08Z","timestamp":1188905588000},"page":"815-841","source":"Crossref","is-referenced-by-count":7,"title":["HIGHER-DENSITY DUAL TREE DISCRETE WAVELET TRANSFORM"],"prefix":"10.1142","volume":"05","author":[{"given":"LIZHONG","family":"PENG","sequence":"first","affiliation":[{"name":"LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"WEITAO","family":"YUAN","sequence":"additional","affiliation":[{"name":"LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2006.875388"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2004.826174"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1098\/rsta.1999.0447"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1006\/acha.2000.0343"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1109\/97.923042"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1109\/78.995070"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2005.1550194"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1109\/79.482137"}],"container-title":["International Journal of Wavelets, Multiresolution and Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219691307002063","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T17:22:08Z","timestamp":1565198528000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219691307002063"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,9]]},"references-count":8,"journal-issue":{"issue":"05","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2007,9]]}},"alternative-id":["10.1142\/S0219691307002063"],"URL":"https:\/\/doi.org\/10.1142\/s0219691307002063","relation":{},"ISSN":["0219-6913","1793-690X"],"issn-type":[{"value":"0219-6913","type":"print"},{"value":"1793-690X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,9]]}}}