Convergence analysis of subdivision processes on the sphere
Numerical Analysis
2020-01-28 v1 Numerical Analysis
Abstract
This paper provides a strategy to analyse the convergence of nonlinear analogues of linear subdivision processes on the sphere. In contrast to previous work, we study the Riemannian analogue of a linear scheme on a Riemannian manifold with positive sectional curvature. Our result can be applied to all general subdivision schemes without any sign restriction on the mask.
Cite
@article{arxiv.2001.09426,
title = {Convergence analysis of subdivision processes on the sphere},
author = {Svenja Hüning and Johannes Wallner},
journal= {arXiv preprint arXiv:2001.09426},
year = {2020}
}