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"Ali ST" Authored Publications:

Title Authors PubMed ID
1 Wigner functions from the two-dimensional wavelet group. Ali ST, Krasowska AE, Murenzi R 11140488
MATHSTATS

 

Title:Wigner functions from the two-dimensional wavelet group.
Authors:Ali ST,  Krasowska AE,  Murenzi R
Link:https://www.ncbi.nlm.nih.gov/pubmed/11140488?dopt=Abstract
DOI:10.1364/josaa.17.002277
Publication:Journal of the Optical Society of America. A, Optics, image science, and vision
Keywords:
PMID:11140488 Category:J Opt Soc Am A Opt Image Sci Vis Date Added:2019-06-07
Dept Affiliation: MATHSTATS
1 Department of Mathematics and Statistics, Concordia University, Montréal, Québec, Canada. stali@neumann.concordia.ca

Description:

Wigner functions from the two-dimensional wavelet group.

J Opt Soc Am A Opt Image Sci Vis. 2000 Dec;17(12):2277-87

Authors: Ali ST, Krasowska AE, Murenzi R

Abstract

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.

PMID: 11140488 [PubMed]




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