Software Implementation of the Partition of Unity Method

TitleSoftware Implementation of the Partition of Unity Method
Publication TypeJournal Article
Year of Publication2022
AuthorsCavoretto, R, De Rossi, A, Lancellotti, S, Perracchione, E
JournalDolomites Research Notes on Approximation
Date Published10/2022
PublisherPadova Univeristy Press
Place PublishedPadova
ISSN Number2035-6803

We present a software for efficiently interpolating via kernel bases large datasets in a multivariate setting. It is based on the partition of unity method, and hence on splitting the given (potentially huge) interpolation problem into many small ones. To reach the widest audience among the potential users, we propose both a MATLAB and a Python implementation. We discuss the algorithm details, and hence the paper results in a step-by-step user-friendly tutorial.