Title :
The Mallat algorithm for a class of orthogonal wavelet on compact Lie Groups
Author :
Wang, Bao-Qin ; Wang, Gang ; Fu, Yue-xia ; Zhu, Jian
Author_Institution :
Sch. of Math-Phys. & Inf. Sci., Xinjiang Normal Univ., Urumqi, China
Abstract :
In the paper, the definition of the multi-resolution analysis on compact Lie groups is introduced. And the Mallat algorithm for a class of orthogonal wavelet on compact Lie groups is discussed, the decomposition and reconstruction formula is offered.
Keywords :
Lie groups; wavelet transforms; Mallat algorithm; compact Lie groups; decomposition formula; multiresolution analysis; orthogonal wavelet; reconstruction formula; Algorithm design and analysis; Harmonic analysis; Information analysis; Information science; Lattices; Pattern analysis; Pattern recognition; Signal processing algorithms; Solids; Wavelet analysis; Compact Lie Groups; Differential manifold; Mallat algorithm; Multi-resolution analysis;
Conference_Titel :
Wavelet Analysis and Pattern Recognition, 2009. ICWAPR 2009. International Conference on
Conference_Location :
Baoding
Print_ISBN :
978-1-4244-3728-3
Electronic_ISBN :
978-1-4244-3729-0
DOI :
10.1109/ICWAPR.2009.5207483
