Optimal polynomial meshes and Caratheodory-Tchakaloff submeshes on the sphere
Numerical Analysis
2016-12-16 v1
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.
Keywords
Cite
@article{arxiv.1612.04952,
title = {Optimal polynomial meshes and Caratheodory-Tchakaloff submeshes on the sphere},
author = {Paul Leopardi and Alvise Sommariva and Marco Vianello},
journal= {arXiv preprint arXiv:1612.04952},
year = {2016}
}