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This approach allows for the construction of nearly cardinal scaling functions when an objective function that measures deviation from cardinality is minimized. A similar objective function based on a measure of symmetry is also proposed to facilitate the construction of nearly symmetric scaling functions on the line. <\/jats:p>","DOI":"10.1142\/s021969132150048x","type":"journal-article","created":{"date-parts":[[2021,10,30]],"date-time":"2021-10-30T17:09:10Z","timestamp":1635613750000},"source":"Crossref","is-referenced-by-count":0,"title":["Optimization in the construction of cardinal and symmetric wavelets on the line"],"prefix":"10.1142","volume":"20","author":[{"given":"Neil D.","family":"Dizon","sequence":"first","affiliation":[{"name":"School of Information and Physical Sciences, University of Newcastle, Callaghan, NSW 2308, Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jeffrey A.","family":"Hogan","sequence":"additional","affiliation":[{"name":"School of Information and Physical Sciences, University of Newcastle, Callaghan, NSW 2308, Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Joseph D.","family":"Lakey","sequence":"additional","affiliation":[{"name":"Department of Mathematics Sciences, New Mexico State University, Las Cruces, NM 88003-8001, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2021,10,30]]},"reference":[{"issue":"2","key":"S021969132150048XBIB001","first-page":"3","volume":"29","author":"Abdelnour A. 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