Fast strategy for PU interpolation: An application for the reconstruction of separatrix manifolds
Title | Fast strategy for PU interpolation: An application for the reconstruction of separatrix manifolds |
Publication Type | Journal Article |
Year of Publication | 2016 |
Authors | De Rossi, A, Perracchione, E, Venturino, E |
Journal | Dolomites Research Notes on Approximation |
Volume | 9 |
Issue | Special_Issue |
Pagination | 3-12 |
Date Published | 09/2016 |
Publisher | Padova University Press |
Place Published | Padova, IT |
ISSN Number | 20356803 |
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. |
URL | http://drna.padovauniversitypress.it/2016/specialissue/2 |
DOI | 10.14658/pupj-drna-2016-Special_Issue-2 |