2 papers
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…