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research article
Optimal Isotropic Wavelets for Localized Tight Frame Representations
In this letter, we aim to identify the optimal isotropic mother wavelet for a given spatial dimension based on a localization criterion. Within the framework of the calculus of variations, we specify an Euler-Lagrange equation for this problem, and we find the unique analytic solutions. In the one- and two-dimensional cases, the derived wavelets are well known.
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Type
research article
Web of Science ID
WOS:000356970700003
Authors
Publication date
2015
Publisher
Published in
Volume
22
Issue
11
Start page
1918
End page
1921
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
July 28, 2015