Optimal polynomial meshes and Caratheodory-Tchakaloff submeshes on the sphere [article]

Paul Leopardi, Alvise Sommariva, Marco Vianello
2016 arXiv   pre-print
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.
arXiv:1612.04952v1 fatcat:7c7atjgnszhfnnnohecuwk5qui