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Fast strategy for PU interpolation: An application for the reconstruction of separatrix manifolds

TitleFast strategy for PU interpolation: An application for the reconstruction of separatrix manifolds
Publication TypeJournal Article
Year of Publication2016
AuthorsDe Rossi, A, Perracchione, E, Venturino, E
JournalDolomites Research Notes on Approximation
Volume9
IssueSpecial_Issue
Pagination3-12
Date Published09/2016
PublisherPadova University Press
Place PublishedPadova, IT
ISSN Number20356803
Abstract

In this paper, the Partition of Unity (PU) method is performed by blending Radial Basis Functions (RBFs) as local approximants and using locally supported weights. In particular, we present a new multidimensional data structure which makes use of an integer-based scheme. This approach allows to perform an optimized space-partitioning structure. Moreover, because of its flexibility, it turns out to be extremely meaningful in the reconstruction of the attraction basins in dynamical systems.

URLhttp://drna.padovauniversitypress.it/2016/specialissue/2
DOI10.14658/pupj-drna-2016-Special_Issue-2