{"title":"紧李群上一类双向正交小波的研究","authors":"Baoqin Wang, Gang Wang, L. Yuan","doi":"10.1109/ICWAPR.2010.5576357","DOIUrl":null,"url":null,"abstract":"In this paper, by virtue of the methods which comes from intersecting and combining differential geometry with wavelet theory, and this method belong to us. We extend the two-direction multiresolution and the two-direction Mallat Algorithm to the theory on the special differential manifold — compact Lie group, our work lay a foundation for the further study wavelet theory on compact Lie group.","PeriodicalId":219884,"journal":{"name":"2010 International Conference on Wavelet Analysis and Pattern Recognition","volume":"552 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A study on a class of two-direction orthogonal wavelets on compact Lie groups\",\"authors\":\"Baoqin Wang, Gang Wang, L. Yuan\",\"doi\":\"10.1109/ICWAPR.2010.5576357\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, by virtue of the methods which comes from intersecting and combining differential geometry with wavelet theory, and this method belong to us. We extend the two-direction multiresolution and the two-direction Mallat Algorithm to the theory on the special differential manifold — compact Lie group, our work lay a foundation for the further study wavelet theory on compact Lie group.\",\"PeriodicalId\":219884,\"journal\":{\"name\":\"2010 International Conference on Wavelet Analysis and Pattern Recognition\",\"volume\":\"552 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-07-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 International Conference on Wavelet Analysis and Pattern Recognition\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICWAPR.2010.5576357\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 International Conference on Wavelet Analysis and Pattern Recognition","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICWAPR.2010.5576357","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A study on a class of two-direction orthogonal wavelets on compact Lie groups
In this paper, by virtue of the methods which comes from intersecting and combining differential geometry with wavelet theory, and this method belong to us. We extend the two-direction multiresolution and the two-direction Mallat Algorithm to the theory on the special differential manifold — compact Lie group, our work lay a foundation for the further study wavelet theory on compact Lie group.
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