Optimal polynomial meshes and Caratheodory-Tchakaloff submeshes on the sphere

Paul Leopardi, Alvise Sommariva, Marco Vianello

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)18-24
Number of pages7
JournalDolomites Research Notes on Approximation
Volume10
Issue numberSpecial Issue
Publication statusPublished - 2017
Externally publishedYes

Fingerprint

Dive into the research topics of 'Optimal polynomial meshes and Caratheodory-Tchakaloff submeshes on the sphere'. Together they form a unique fingerprint.

Cite this