Convergence rate in terms of the continuous SSIM (cSSIM) index in RBF interpolation

TitleConvergence rate in terms of the continuous SSIM (cSSIM) index in RBF interpolation
Publication TypeJournal Article
Year of Publication2021
AuthorsMarchetti, F
JournalDolomites Research Notes on Approximation
Volume14
Issue1
Pagination27-32
Date Published01/2021
PublisherPadova University Press
Place PublishedPadova, IT
ISSN Number20356803
Abstract

The Structural Similarity index (SSIM) is a very popular tool for the evaluation of the similarity between two images. In this work, we extend it by introducing the continuous SSIM (cSSIM) index. Then, focusing on Radial Basis Function (RBF) interpolation, we provide theoretical results concerning the convergence rate of a RBF interpolant in terms of the cSSIM index. The theoretical findings are then confirmed by numerical experiments.

URLhttps://drna.padovauniversitypress.it/2021/1/3