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

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.

Marchetti F. (2021) "Convergence rate in terms of the continuous SSIM (cSSIM) index in RBF interpolation " Dolomites Research Notes on Approximation, 14(1), 27-32. DOI: 10.14658/PUPJ-DRNA-2021-1-3  
Year of Publication
2021
Journal
Dolomites Research Notes on Approximation
Volume
14
Issue Number
1
Start Page
27
Last Page
32
Date Published
01/2021
ISSN Number
2035-6803
Serial Article Number
3
DOI
10.14658/PUPJ-DRNA-2021-1-3
Issue
Section
Articles