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.
Optimal polynomial meshes and Caratheodory-Tchakaloff submeshes on the sphere
SOMMARIVA, ALVISE;VIANELLO, MARCO
2017
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.
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