English

Surface Patches with Rounded Corners

Computational Geometry 2022-11-18 v2

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 G1G^1 smoothness are given, which, up to a certain degenerate case, are also necessary. Further, we investigate curvature integrability and present examples

Keywords

Cite

@article{arxiv.2203.12345,
  title  = {Surface Patches with Rounded Corners},
  author = {Benjamin Marussig and Ulrich Reif},
  journal= {arXiv preprint arXiv:2203.12345},
  year   = {2022}
}
R2 v1 2026-06-24T10:23:12.433Z