4 papers
On the Rigid-Ruling Folding of Curved Creases: Conjugate-Net Preserving Isometric Deformations of Semi-Discrete Globally Developable Conjugate-Nets
Klara Mundilova
In this paper, we investigate rigid-ruling folding motions of crease-rule patterns, that is, conjugacy-preserving isometries of developable semi-discrete conjugate nets. We derive…
(Semi-)Invariant Curves from Centers of Triangle Families
Klara Mundilova, Oliver Gross
We study curves obtained by tracing triangle centers within special families of triangles, focusing on centers and families that yield (semi-)invariant triangle curves, meaning tha…
Local Decomposition of Hexahedral Singular Nodes into Singular Curves
Paul Zhang, Judy Hsin-Hui Chiang, Xinyi +2
Hexahedral (hex) meshing is a long studied topic in geometry processing with many fascinating and challenging associated problems. Hex meshes vary in complexity from structured to…
Channel linear Weingarten surfaces
U. Hertrich-Jeromin, K. Mundilova, E. -H. Tjaden
We demonstrate that every non-tubular channel linear Weingarten surface in Euclidean space is a surface of revolution, hence parallel to a catenoid or a rotational surface of non-z…