38 citations · 139 across the 18 of their papers we have counts for
19 papers
Compact Bonnet Pairs: isometric tori with the same curvatures
Alexander I. Bobenko, Tim Hoffmann, Andrew O. Sageman-Furnas
We explicitly construct a pair of immersed tori in three dimensional Euclidean space that are related by a mean curvature preserving isometry. These Bonnet pair tori are the first…
Dev2PQ: Planar Quadrilateral Strip Remeshing of Developable Surfaces
Floor Verhoeven, Amir Vaxman, Tim Hoffmann +1
We introduce an algorithm to remesh triangle meshes representing developable surfaces to planar quad dominant meshes. The output of our algorithm consists of planar quadrilateral (…
A curvature and density-based generative representation of shapes
Zi Ye, Nobuyuki Umetani, Takeo Igarashi +1
This paper introduces a generative model for 3D surfaces based on a representation of shapes with mean curvature and metric, which are invariant under rigid transformation. Hence,…
Discrete Constant Mean Curvature Surfaces on General Graphs
Tim Hoffmann, Shimpei Kobayashi, Zi Ye
The contribution of this paper is twofold. First, we generalize the definition of discrete isothermic surfaces. Compared with the previous ones, it covers more discrete surfaces, e…
Orthogonal ring patterns in the plane
Alexander I. Bobenko, Tim Hoffmann, Thilo Rörig
We introduce orthogonal ring patterns consisting of pairs of concentric circles generalizing circle patterns. We show that orthogonal ring patterns are governed by the same equatio…
A discrete extrinsic and intrinsic Dirac operator
Tim Hoffmann, Zi Ye
In differential geometry of surfaces the Dirac operator appears intrinsically as a tool to address the immersion problem as well as in an extrinsic flavour (that comes with spin tr…