{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T00:55:30Z","timestamp":1648860930363},"reference-count":14,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Info. Tech. Dec. Mak."],"published-print":{"date-parts":[[2006,6]]},"abstract":"<jats:p> Wavelet Shrinkage using DWT has been widely used in de-noising although DWT has a translation variance problem. In this study, we solve this problem by using the translation invariant DWT. For this purpose, we propose a new complex wavelet, the Real-Imaginary Spline Wavelet (RI-Spline wavelet). We also propose the Coherent Dual-Tree algorithm for the RI-Spline wavelet and extend it to the 2-Dimensional. Then we apply this translation invariant RI-Spline wavelet for translation invariant de-noising. Experimental results show that our method, when applied to ECG data, the medical image and the textile surface inspection can obtain better de-noising results than that of conventional Wavelet Shrinkage. <\/jats:p>","DOI":"10.1142\/s0219622006001976","type":"journal-article","created":{"date-parts":[[2006,6,21]],"date-time":"2006-06-21T08:40:08Z","timestamp":1150879208000},"page":"353-378","source":"Crossref","is-referenced-by-count":11,"title":["TRANSLATION INVARIANT RI-SPLINE WAVELET AND ITS APPLICATION ON DE-NOISING"],"prefix":"10.1142","volume":"05","author":[{"given":"ZHONG","family":"ZHANG","sequence":"first","affiliation":[{"name":"Department of Production System Engineering, Toyohashi University of Technology, 1-1 Hibarigaoka Tenpaku-cho, Toyohashi 441-8580, Japan"}]},{"given":"HIROSHI","family":"TODA","sequence":"additional","affiliation":[{"name":"Faculty of Computer Science and System Engineering, Okayama Prefecture University, 111 Kuboki, 5301 Haga, Soja 719\u20131197, Japan"}]},{"given":"HISANAGA","family":"FUJIWARA","sequence":"additional","affiliation":[{"name":"Department of System Engineering, Industrial Technology Center of Okayama, 5301 Haga Okayama-shi, 701-1296, Japan"}]},{"given":"FUJI","family":"REN","sequence":"additional","affiliation":[{"name":"Faculty of Engineering, The University of Tokushima, 2-1 Minamijosanjima, Tokushima 770-8506, Japan"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/81.3.425"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/B978-012466606-1\/50004-0"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-2544-7_9"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-1684(98)00234-5"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1006\/acha.2000.0343"},{"key":"rf7","first-page":"1689","volume":"88","author":"Fernandes F. C. A.","journal-title":"Signal Processing"},{"key":"rf8","volume-title":"An Introduction to Wavelets","author":"Chui C. K.","year":"1992"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1109\/97.923042"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1109\/78.995070"},{"key":"rf11","doi-asserted-by":"crossref","first-page":"351","DOI":"10.3233\/ICA-2001-8406","volume":"8","author":"Zhang Z.","journal-title":"Integrated Computer-Aided Engineering"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1109\/34.192463"},{"key":"rf13","first-page":"185","volume":"7","author":"Mochimaru F.","journal-title":"Progress in Biomedical Research"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1016\/S0010-4825(03)00090-8"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1109\/78.229897"}],"container-title":["International Journal of Information Technology &amp; Decision Making"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219622006001976","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T10:20:18Z","timestamp":1565173218000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219622006001976"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,6]]},"references-count":14,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2006,6]]}},"alternative-id":["10.1142\/S0219622006001976"],"URL":"https:\/\/doi.org\/10.1142\/s0219622006001976","relation":{},"ISSN":["0219-6220","1793-6845"],"issn-type":[{"value":"0219-6220","type":"print"},{"value":"1793-6845","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,6]]}}}