In a previous paper, focused on the analysis of Blake & Zisserman functional in image segmentation, we showed an Almansi-type decomposition and explicit coefficients of asymptotic expansion for bi-harmonic functions in a disk with a cut from center to boundary. The real form expansions and their subsequent applications are correct, but the auxiliary analysis of complex form expansions is imprecise. Here we wish to make precise this point.
Corrigendum to A candidate local minimizer of Blake and Zisserman functional [J. Math. Pures Appl. 96, 1, (2011), 58-87] Doi: 10.1016/j.matpur.2011.01.005
Carriero M.;Leaci A.;Tomarelli F.
2015-01-01
Abstract
In a previous paper, focused on the analysis of Blake & Zisserman functional in image segmentation, we showed an Almansi-type decomposition and explicit coefficients of asymptotic expansion for bi-harmonic functions in a disk with a cut from center to boundary. The real form expansions and their subsequent applications are correct, but the auxiliary analysis of complex form expansions is imprecise. Here we wish to make precise this point.File in questo prodotto:
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