Convergence analysis of subdivision processes on the sphere

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 a...

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Hauptverfasser: Hüning, Svenja, Wallner, Johannes
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Sprache:eng
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Zusammenfassung: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.
DOI:10.48550/arxiv.2001.09426