9 citations · 12 across the 3 of their papers we have counts for
6 papers
Developable Quad Meshes and Contact Element Nets
Victor Ceballos Inza, Florian Rist, Johannes Wallner +1
The property of a surface being developable can be expressed in different equivalent ways, by vanishing Gauss curvature, or by the existence of isometric mappings to planar domains…
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…
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…
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…
Definability and stability of multiscale decompositions for manifold-valued data
Philipp Grohs, Johannes Wallner
We discuss multiscale representations of discrete manifold-valued data. As it turns out that we cannot expect general manifold-analogues of biorthogonal wavelets to possess perfect…
A curvature theory for discrete surfaces based on mesh parallelity
Alexander I. Bobenko, Helmut Pottmann, Johannes Wallner
We consider a general theory of curvatures of discrete surfaces equipped with edgewise parallel Gauss images, and where mean and Gaussian curvatures of faces are derived from the f…