Title :
A study on a class of two-direction orthogonal wavelets on compact Lie groups
Author :
Wang, Bao-Qin ; Wang, Gang ; Yuan, Li-Xia
Author_Institution :
Sch. of Math-Phys. & Inf. Sci., Xinjiang Normal Univ., Urumqi, China
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.
Keywords :
Lie groups; differential geometry; wavelet transforms; compact Lie groups; differential geometry; two direction orthogonal wavelets; two-direction Mallat algorithm; two-direction multiresolution; wavelet theory; Algorithm design and analysis; Geometry; Lattices; Manifolds; Multiresolution analysis; Pattern recognition; Compact Lie Groups; Differential manifold; The Mallat algorithm; Two-direction multi-resolution analysis;
Conference_Titel :
Wavelet Analysis and Pattern Recognition (ICWAPR), 2010 International Conference on
Conference_Location :
Qingdao
Print_ISBN :
978-1-4244-6530-9
DOI :
10.1109/ICWAPR.2010.5576357
