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Can I read Convergence Analysis of Subdivision Processes on the Sphere on EtoBox?

Convergence Analysis of Subdivision Processes on the Sphere by Svenja Hüning; Johannes Wallner is a Engineering article available to read on EtoBox.

What is Convergence Analysis of Subdivision Processes on the Sphere about?

## Abstract We analyse the convergence of nonlinear Riemannian analogues of linear subdivision processes operating on data in the sphere. We show how for curve subdivision rules we can derive bounds guaranteeing convergence if the density of input data is below that threshold. Previous results only yield thresholds that are several magnitudes smaller and are thus useless for a priori checking of convergence. It is the first time that such a result has been shown for a geometry with positive curvature and for subdivision rules not enjoying any special properties like being interpolatory or having non-negative mask.

Who reads Convergence Analysis of Subdivision Processes on the Sphere?

It is typically read by researchers, students, and practitioners in Engineering.

Author
Svenja Hüning; Johannes Wallner
Publisher
Oxford University Press (OUP)
Published
2020
Language
EN
Field
Engineering (Physical Sciences)