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 |
