{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,9]],"date-time":"2024-09-09T13:49:33Z","timestamp":1725889773466},"reference-count":34,"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":[[2019,9]]},"abstract":" Biomedical signal\/image processing and analysis are always fascinating tasks in scientific researches, both theoretical and practical. One of the powerful tools in such topics is wavelet theory which has been proved to be challenging since its discovery. One of the best measures of the optimality of reconstruction of signals\/images is the well-known Shannon\u2019s entropy. In wavelet theory, this is very well known and researchers are familiar with it. In the present work, a step forward is proposed based on more general wavelet tools. New approach is proposed for the reconstruction of signals\/images provided with multiwavelets Shannon-type entropy to evaluate the order\/disorder of the reconstructed signals\/images. Efficiency and accuracy of the approach is confirmed by a simulation study on several models such as ECG, EEG and DNA\/Proteins\u2019 signals. <\/jats:p>","DOI":"10.1142\/s0219691319500383","type":"journal-article","created":{"date-parts":[[2019,4,18]],"date-time":"2019-04-18T02:45:49Z","timestamp":1555555549000},"page":"1950038","source":"Crossref","is-referenced-by-count":12,"title":["Explicit Haar\u2013Schauder multiwavelet filters and algorithms. Part II: Relative entropy-based estimation for optimal modeling of biomedical signals"],"prefix":"10.1142","volume":"17","author":[{"given":"Makerem","family":"Zemni","sequence":"first","affiliation":[{"name":"Universit\u00e9 de Sousse, Ecole Nationale d\u2019Ing\u00e9nieurs de Sousse, LATIS \u2014 Laboratory of Advanced Technology and Intelligent Systems, 4023, Sousse, Tunisie"}]},{"given":"Malika","family":"Jallouli","sequence":"additional","affiliation":[{"name":"Universit\u00e9 de Sousse, Ecole Nationale d\u2019Ing\u00e9nieurs de Sousse, LATIS \u2014 Laboratory of Advanced Technology and Intelligent Systems, 4023, Sousse, Tunisie"}]},{"ORCID":"http:\/\/orcid.org\/0000-0002-2571-1066","authenticated-orcid":false,"given":"Anouar Ben","family":"Mabrouk","sequence":"additional","affiliation":[{"name":"Algebra, Number Theory and Nonlinear Analysis Lab. LR18ES15, Department of Mathematics, Faculty of Sciences, University of Monastir, Monastir 5000, Tunisia"},{"name":"Department of Mathematics, Higher Institute of Applied Mathematics and Informatics University of Kairouan, Street of Assad Ibn Al Fourat, Kairouan 3100, Tunisia"},{"name":"Department of Mathematics, Faculty of Sciences, University of Tabuk, King Faisal Rd, Tabuk, Saudi Arabia"}]},{"given":"Mohamed Ali","family":"Mahjoub","sequence":"additional","affiliation":[{"name":"Universit\u00e9 de Sousse, Ecole Nationale d\u2019Ing\u00e9nieurs de Sousse, LATIS \u2014 Laboratory of Advanced Technology and Intelligent Systems, 4023, Sousse, Tunisie"}]}],"member":"219","published-online":{"date-parts":[[2019,9,10]]},"reference":[{"key":"S0219691319500383BIB001","doi-asserted-by":"publisher","DOI":"10.1515\/9783110481884"},{"key":"S0219691319500383BIB002","doi-asserted-by":"publisher","DOI":"10.1109\/83.951534"},{"key":"S0219691319500383BIB004","volume-title":"Int. Conf. Engineering Sciences for Biology and Medecine","author":"Ben Mabrouk A."},{"issue":"2","key":"S0219691319500383BIB005","first-page":"157","volume":"4","author":"Bhatnagar S.","year":"2015","journal-title":"Int. J. Cybernet. Inf."},{"key":"S0219691319500383BIB006","doi-asserted-by":"publisher","DOI":"10.1063\/1.4825874"},{"key":"S0219691319500383BIB007","doi-asserted-by":"publisher","DOI":"10.7150\/ijbs.5371"},{"key":"S0219691319500383BIB008","first-page":"554","volume":"37","author":"Bin Y.","year":"2010","journal-title":"World Acad. Sci. Eng. Technol."},{"key":"S0219691319500383BIB010","doi-asserted-by":"publisher","DOI":"10.3390\/e17106617"},{"key":"S0219691319500383BIB011","doi-asserted-by":"publisher","DOI":"10.1109\/18.119732"},{"key":"S0219691319500383BIB012","doi-asserted-by":"publisher","DOI":"10.1016\/j.tics.2016.12.008"},{"key":"S0219691319500383BIB013","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2005.5.659"},{"key":"S0219691319500383BIB014","doi-asserted-by":"publisher","DOI":"10.3390\/e18030084"},{"key":"S0219691319500383BIB015","first-page":"266","volume-title":"2nd Int. Multidisciplinary Conf. Computer and Energy Science, SpliTech 2017","author":"Guariglia E.","year":"2017"},{"key":"S0219691319500383BIB016","doi-asserted-by":"publisher","DOI":"10.3390\/e20090714"},{"key":"S0219691319500383BIB017","doi-asserted-by":"publisher","DOI":"10.1109\/ISCAS.2008.4542062"},{"key":"S0219691319500383BIB018","doi-asserted-by":"publisher","DOI":"10.1109\/82.718820"},{"key":"S0219691319500383BIB019","doi-asserted-by":"publisher","DOI":"10.1142\/S0219691316500442"},{"key":"S0219691319500383BIB021","volume-title":"Wavelets and Multiwavelets","author":"Keinert F.","year":"2004"},{"key":"S0219691319500383BIB022","doi-asserted-by":"publisher","DOI":"10.1109\/83.951534"},{"key":"S0219691319500383BIB023","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1956.1056823"},{"key":"S0219691319500383BIB024","doi-asserted-by":"publisher","DOI":"10.1016\/0022-2836(82)90515-0"},{"key":"S0219691319500383BIB025","doi-asserted-by":"publisher","DOI":"10.1016\/j.jhydrol.2005.04.003"},{"key":"S0219691319500383BIB026","volume-title":"A Wavelet Tour of Signal Processing","author":"Mallat S.","year":"2008","edition":"3"},{"key":"S0219691319500383BIB027","doi-asserted-by":"publisher","DOI":"10.3390\/e17064155"},{"key":"S0219691319500383BIB029","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0270(00)00356-3"},{"key":"S0219691319500383BIB030","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.72.016311"},{"key":"S0219691319500383BIB031","doi-asserted-by":"publisher","DOI":"10.1002\/j.1538-7305.1948.tb01338.x"},{"key":"S0219691319500383BIB032","doi-asserted-by":"publisher","DOI":"10.1016\/j.inffus.2012.09.005"},{"key":"S0219691319500383BIB033","doi-asserted-by":"publisher","DOI":"10.1016\/S0045-7906(01)00011-8"},{"key":"S0219691319500383BIB034","first-page":"35","volume-title":"Proc. 22nd Annual Conf. Computer Graphics and Interactive Techniques","author":"Taubin G.","year":"1995"},{"key":"S0219691319500383BIB035","doi-asserted-by":"publisher","DOI":"10.1016\/0022-2836(92)90934-C"},{"key":"S0219691319500383BIB036","doi-asserted-by":"publisher","DOI":"10.1016\/j.compbiomed.2016.08.013"},{"key":"S0219691319500383BIB038","doi-asserted-by":"publisher","DOI":"10.1006\/acha.2001.0361"},{"key":"S0219691319500383BIB039","volume":"77","author":"Zheng S.","year":"2017","journal-title":"Bound. Value Probl."}],"container-title":["International Journal of Wavelets, Multiresolution and Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219691319500383","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,10]],"date-time":"2019-09-10T04:11:20Z","timestamp":1568088680000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219691319500383"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,9]]},"references-count":34,"journal-issue":{"issue":"05","published-online":{"date-parts":[[2019,9,10]]},"published-print":{"date-parts":[[2019,9]]}},"alternative-id":["10.1142\/S0219691319500383"],"URL":"https:\/\/doi.org\/10.1142\/s0219691319500383","relation":{},"ISSN":["0219-6913","1793-690X"],"issn-type":[{"value":"0219-6913","type":"print"},{"value":"1793-690X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,9]]}}}