{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:18:12Z","timestamp":1753885092195,"version":"3.41.2"},"reference-count":19,"publisher":"World Scientific Pub Co Pte Ltd","issue":"05","funder":[{"DOI":"10.13039\/100018978","name":"Zhejiang Office of Philosophy and Social Science","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100018978","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Philosophy and Social Sciences in Zhejiang Province of China","award":["19NDQN340YB"],"award-info":[{"award-number":["19NDQN340YB"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2022,9]]},"abstract":"<jats:p> In this paper, an algorithm is discussed for constructing the two-direction Armlet multiwavelet. First, the definition of two-direction Armlet multiwavelet is presented in this paper. A two-direction multiwavelet can be changed to a special multi-wavelet. By Two-scale Similar Transform (TST), a transform can be taken on the two-scale matrix symbols of a two-direction multi-wavelets. This transform keeps the orthogonality of the two-direction multi-wavelets. However, the condition is discussed which the two-direction multi-wavelet corresponding to a two-direction multi-scaling function is an Armlet with order n. An approach is given for constructing the transform matrix. Finally, an example is given for discussing the two-direction Armlet multi-wavelet with order 2. <\/jats:p>","DOI":"10.1142\/s0219691322500187","type":"journal-article","created":{"date-parts":[[2022,5,20]],"date-time":"2022-05-20T14:30:45Z","timestamp":1653057045000},"source":"Crossref","is-referenced-by-count":0,"title":["An algorithm for constructing the two-direction Armlet multiwavelet"],"prefix":"10.1142","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7424-0600","authenticated-orcid":false,"given":"Gang","family":"Wang","sequence":"first","affiliation":[{"name":"School of Mathematical Science, Xinjiang Normal University, Urumqi, Xinjiang 830054, P. R. China"}]},{"given":"Xiaohui","family":"Zhou","sequence":"additional","affiliation":[{"name":"Institute of Network Security and Electronic Physical Evidence, Fujian Police College, Fuzhou 350007, P. R. 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