Surface Patches with Rounded Corners
arXiv:2203.12345 · doi:10.1016/j.cagd.2022.102134
Abstract
We analyze surface patches with a corner that is rounded in the sense that the partial derivatives at that point are antiparallel. Sufficient conditions for smoothness are given, which, up to a certain degenerate case, are also necessary. Further, we investigate curvature integrability and present examples