9 citations · 12 across the 3 of their papers we have counts for
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math.NA2020
Convergence analysis of subdivision processes on the sphere
Svenja Hüning, Johannes Wallner
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 Riemannia…
math.NA2019
Geometric subdivision and multiscale transforms
Johannes Wallner
Any procedure applied to data, and any quantity derived from data, is required to respect the nature and symmetries of the data. This axiom applies to refinement procedures and mul…
math.NA2017
Convergence of subdivision schemes on Riemannian manifolds with nonpositive sectional curvature
Svenja Hüning, Johannes Wallner
This paper studies well-defindness and convergence of subdivision schemes which operate on Riemannian manifolds with nonpositive sectional curvature. These schemes are constructed…