DocumentCode
108246
Title
Optimal Isotropic Wavelets for Localized Tight Frame Representations
Author
Ward, John Paul ; Pad, Pedram ; Unser, Michael
Author_Institution
Biomed. Imaging Group, Ecole Polytech. Fed. de Lausanne (EPFL), Lausanne, Switzerland
Volume
22
Issue
11
fYear
2015
fDate
Nov. 2015
Firstpage
1918
Lastpage
1921
Abstract
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.
Keywords
signal representation; wavelet transforms; Euler-Lagrange equation; localized tight frame representations; optimal isotropic mother wavelet; spatial dimension; Biomedical imaging; Calculus; Europe; Fourier transforms; Wavelet analysis; Wavelet transforms; Calculus of variations; Simoncelli wavelets; localization; wavelet tight frames;
fLanguage
English
Journal_Title
Signal Processing Letters, IEEE
Publisher
ieee
ISSN
1070-9908
Type
jour
DOI
10.1109/LSP.2015.2448233
Filename
7130607
Link To Document