Optimal Isotropic Wavelets for Localized Tight Frame Representations
J.P. Ward, P. Pad, M. Unser
IEEE Signal Processing Letters, vol. 22, no. 11, pp. 1918–1921, November 2015.
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.
@ARTICLE(http://bigwww.epfl.ch/publications/ward1502.html,
AUTHOR="Ward, J.P. and Pad, P. and Unser, M.",
TITLE="Optimal Isotropic Wavelets for Localized Tight Frame
Representations",
JOURNAL="{IEEE} Signal Processing Letters",
YEAR="2015",
volume="22",
number="11",
pages="1918--1921",
month="November",
note="")
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