Optimal polynomial meshes and Caratheodory-Tchakaloff submeshes on the sphere
| dc.contributor.author | Leopardi, Paul | en |
| dc.contributor.author | Sommariva, Alvise | en |
| dc.contributor.author | Vianello, Marco | en |
| dc.date.accessioned | 2026-01-01T15:42:29Z | |
| dc.date.available | 2026-01-01T15:42:29Z | |
| dc.date.issued | 2017 | en |
| dc.description.abstract | Using the notion of Dubiner distance, we give an elementary proof of the fact that good covering point configurations on the 2-sphere are optimal polynomial meshes. From these we extract Caratheodory- Tchakaloff (CATCH) submeshes for compressed Least Squares fitting. | en |
| dc.description.sponsorship | Work partially supported by the BIRD163015, CPDA143275 and DOR funds of the University of Padova, and by the GNCS-INdAM. This research has been accomplished within the RITA “Research ITalian network on Approximation”. | en |
| dc.description.status | Peer-reviewed | en |
| dc.format.extent | 7 | en |
| dc.identifier.issn | 2035-6803 | en |
| dc.identifier.scopus | 85019644284 | en |
| dc.identifier.uri | https://hdl.handle.net/1885/733801459 | |
| dc.language.iso | en | en |
| dc.rights | Publisher Copyright: © 2017, Padova University Press. All rights reserved. | en |
| dc.source | Dolomites Research Notes on Approximation | en |
| dc.subject | Caratheodory-Tchakaloff subsampling | en |
| dc.subject | Compressed least squares | en |
| dc.subject | Dubiner distance | en |
| dc.subject | Good covering point configurations | en |
| dc.subject | Optimal polynomial meshes | en |
| dc.subject | Sphere | en |
| dc.title | Optimal polynomial meshes and Caratheodory-Tchakaloff submeshes on the sphere | en |
| dc.type | Journal article | en |
| dspace.entity.type | Publication | en |
| local.bibliographicCitation.lastpage | 24 | en |
| local.bibliographicCitation.startpage | 18 | en |
| local.contributor.affiliation | Leopardi, Paul; Bureau of Meteorology Australia | en |
| local.contributor.affiliation | Sommariva, Alvise; University of Padua | en |
| local.contributor.affiliation | Vianello, Marco; University of Padua | en |
| local.identifier.citationvolume | 10 | en |
| local.identifier.pure | 636e7aba-f4ee-44c8-8db0-b9a84e22ce05 | en |
| local.identifier.url | https://www.scopus.com/pages/publications/85019644284 | en |
| local.type.status | Published | en |