TY - JOUR
T1 - Optimal Isotropic Wavelets for Localized Tight Frame Representations
AU - Ward, John P
AU - Pad, Pedram
AU - Unser, Michael
PY - 2015/11/1
Y1 - 2015/11/1
N2 - 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.
AB - 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.
KW - Calculus of variations
KW - localization
KW - Simoncelli wavelets
KW - wavelet tight frames
UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84934299892&origin=inward
UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=84934299892&origin=inward
U2 - 10.1109/LSP.2015.2448233
DO - 10.1109/LSP.2015.2448233
M3 - Article
SN - 1070-9908
VL - 22
SP - 1918
EP - 1921
JO - IEEE Signal Processing Letters
JF - IEEE Signal Processing Letters
IS - 11
M1 - 7130607
ER -