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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.


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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",
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