Wigner functions from the two-dimensional wavelet group

被引：0
|
作者：
Ali, S. Twareque [1 ]
Krasowska, A.E. [1 ]
Murenzi, R. [2 ]
机构：
[1] Department of Mathematics, Concordia University, Montréal, Que. H4B 1R6, Canada
[2] Ctr. Theor. Studs. of Phys. Syst., Department of Physics, Clark Atlanta University, Atlanta, GA 30314, United States
来源：
Journal of the Optical Society of America A: Optics and Image Science, and Vision | 2000年 / 17卷 / 12期
关键词：
Fourier transforms - Image analysis - Vectors - Wavelet transforms;
D O I：
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中图分类号：
学科分类号：
摘要：
Following a general procedure developed previously [Ann. Henri Poincaré 1, 685 (2000)], here we construct Wigner functions on a phase space related to the similitude group in two dimensions. Since the group space in this case is topologically homeomorphic to the phase space in question, the Wigner functions so constructed may also be considered as being functions on the group space itself. Previously the similitude group was used to construct wavelets for two-dimensional image analysis; we discuss here the connection between the wavelet transform and the Wigner function. © 2000 Optical Society of America.
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页码：2277 / 2287
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