Surface patches with rounded corners

Benjamin Marussig*, Ulrich Reif

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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

Original languageEnglish
Article number102134
JournalComputer Aided Geometric Design
Volume97
DOIs
Publication statusPublished - 2022

Keywords

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

ASJC Scopus subject areas

  • Aerospace Engineering
  • Automotive Engineering
  • Modelling and Simulation
  • Computer Graphics and Computer-Aided Design

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