| CONSTRUCTION OF COMPACTLY SUPPORTED BIVARIATE ORTHOGONAL WAVELETS BY UNIVARIATE ORTHOGONAL WAVELETS |
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| 作者姓名： | 杨建伟 李落清 唐远炎 |
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| 作者单位： | [1]DepartmentofComputerScience,HongKongBaptistUniversity,KowloonTong,HongKong;HenanInstituteofFinanceandEconomics.Zhengzhou550002,China [2]DepartmentofMathematics,HubeiUniversity,Wuhan530062,China [3]DepartmentofComputerScience,HongKongBaptistUniversity,KowloonTong,HongKong |
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| 摘 要： | After some permutation of conjugate quadrature filter, new conjugate quadrature filters can be derived. In terms of this permutation, an approach is developed for constructing compactly supported bivariate orthogonal wavelets from univariate orthogonal wavelets. Non-separable orthogonal wavelets can be achieved. To demonstrate this method, an example is given.
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| 关 键 词： | 不可分离小波 正交置换 共轭求积滤波器 离散信号 积分变换 |
| 收稿时间： | 23 December 2002 |
CONSTRUCTION OF COMPACTLY SUPPORTED BIVARIATE ORTHOGONAL WAVELETS BY UNIVARIATE ORTHOGONAL WAVELETS |
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| Yang Jianwei,Li Luoqing,TANG Yuanyan.CONSTRUCTION OF COMPACTLY SUPPORTED BIVARIATE ORTHOGONAL WAVELETS BY UNIVARIATE ORTHOGONAL WAVELETS[J].Acta Mathematica Scientia,2005,25(2):233-242. |
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| Authors: | Yang Jianwei Li Luoqing TANG Yuanyan |
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| Institution: | 1. Department of Computer Science, Hong Kong Baptist University, Kowloon Tong, Hong Kong;2. Henan Institute of Finance and Economics, Zhengzhou 450002, China;3. Department of Mathematics, Hubei University, Wuhan 430062, China;1. Department of Electrical Engineering, IIT Bombay, Mumbai, Maharashtra, India;2. Department of Computing Science, University of Alberta, Edmonton, Canada;3. Alberta Machine Intelligence Institute, Edmonton, Canada;4. Department of Pathology, Tata Memorial Centre - ACTREC, HBNI, Navi Mumbai, Maharashtra, India;5. Department of Pathology, University of Illinois, Chicago, USA;1. Département Sciences et Gestion de l’Environnement, Université de Liège, Avenue de Longwy 185, 6700 Arlon, Belgium;2. Vlaamse Instelling voor Technologisch Onderzoek (VITO), Boeretang 200, B-2400 Mol, Belgium;3. Faculty of BioScience Engineering, Department of Earth & Environmental Sciences, University of Leuven, Celestijnenlaan 200E, B-3001 Leuven, Belgium;4. European Commission, Joint Research Centre (JRC), Via E. Fermi 2749, I-21027 Ispra, Italy;1. Technological Institute of Aeronautics, Praça Marechal Eduardo Gomes 50, São José dos Campos, São Paulo, Brazil;2. Institute of Aeronautics and Space, Praça Marechal Eduardo Gomes 50, São José dos Campos, São Paulo, Brazil;1. R.G.M. College of Engineering & Technology, Nandyal-518501, A.P. India;2. J.N.T.U A, College of Engineering, J.N.T. University, Anantapuram-515002, A.P, India |
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| Abstract: | After some permutation of conjugate quadrature filter, new conjugate quadrature filters can be derived. In terms of this permutation, an approach is developed for constructing compactly supported bivariate orthogonal wavelets from univariate orthogonal wavelets. Non-separable orthogonal wavelets can be achieved. To demonstrate this method, an example is given. |
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| Keywords: | Permutation non-separable wavelets conjugate quadrature filter |
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