arXiv:2001.09426 Abstract | arXiv Analytics

arXiv:2001.09426 [math.NA]Abstract References Reviews Resources

Convergence analysis of subdivision processes on the sphere

Published 2020-01-26Version 1

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.

Categories: math.NA, cs.NA

Keywords: convergence analysis, general subdivision schemes, linear subdivision processes, riemannian analogue, nonlinear analogues

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