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.


Published in:
IEEE Signal Processing Letters, 22, 11, 1918–1921
Year:
2015
Publisher:
Piscataway, IEEE
Keywords:
Laboratories:




 Record created 2015-07-28, last modified 2018-12-03

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