4.4 Article

Surface patches with rounded corners

期刊

COMPUTER AIDED GEOMETRIC DESIGN
卷 97, 期 -, 页码 -

出版社

ELSEVIER
DOI: 10.1016/j.cagd.2022.102134

关键词

Patches with singularities; Antiparallelism; Normal continuity; Surface regularity; Curvature integrability

资金

  1. Austrian Research Promotion Agency (FFG) [883886]
  2. joint DFG/FWF Collaborative Research Centre CREATOR at TU Darmstadt [CRC/TRR 361, F90]
  3. JKU Linz
  4. TU Graz
  5. Austrian Science Fund (FWF) [F90] Funding Source: Austrian Science Fund (FWF)

向作者/读者索取更多资源

We analyze surface patches with rounded corners, providing sufficient conditions for G(1) smoothness and investigating curvature integrability.
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 G(1) smoothness are given, which, up to a certain degenerate case, are also necessary. Further, we investigate curvature integrability and present examples. (C) 2022 The Author(s). Published by Elsevier B.V.

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