{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,19]],"date-time":"2025-10-19T05:59:02Z","timestamp":1760853542966},"reference-count":27,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2011,5]]},"abstract":"<jats:p> Currently, two-dimensional dyadic wavelet transform (2D-DWT) is habitually considered as the one presented by Mallat, which is defined by an approximation component, two detail components in horizontal and vertical directions. This paper is to introduce a new type of two-dimensional dyadic wavelet transform and its application so that dyadic wavelet can be studied and used widely furthermore. (1) Two-dimensional stationary dyadic wavelet transform (2D-SDWT) is proposed, it is defined by approximation coefficients, detail coefficients in horizontal, vertical and diagonal directions, which is essentially the extension of two-dimensional stationary wavelet transform for orthogonal\/biorthogonal wavelet filters. (2) \u03b5-decimated dyadic discrete wavelet transform (DDWT) is introduced and its relation with 2D-SDWT is given, where \u03b5 is a sequence of 0's and 1's. (3) Mallat decomposition algorithm based on dyadic wavelet is introduced as a special case of \u03b5-decimated DDWT, and so a face recognition algorithm based on dyadic wavelet is proposed, and experimental results are given to show its effectiveness. <\/jats:p>","DOI":"10.1142\/s0219691311004110","type":"journal-article","created":{"date-parts":[[2011,6,3]],"date-time":"2011-06-03T10:58:15Z","timestamp":1307098695000},"page":"397-416","source":"Crossref","is-referenced-by-count":7,"title":["TWO-DIMENSIONAL STATIONARY DYADIC WAVELET TRANSFORM, DECIMATED DYADIC DISCRETE WAVELET TRANSFORM AND THE FACE RECOGNITION APPLICATION"],"prefix":"10.1142","volume":"09","author":[{"given":"YANKUI","family":"SUN","sequence":"first","affiliation":[{"name":"Department of Computer Science and Technology, Tsinghua University, Beijing 100084, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"YONG","family":"CHEN","sequence":"additional","affiliation":[{"name":"College of Information Engineering, Zhejiang University of Technology, Hangzhou 310032, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"HAO","family":"FENG","sequence":"additional","affiliation":[{"name":"College of Information Engineering, Zhejiang University of Technology, Hangzhou 310032, P. R. 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