Abstract
The analysis provides sufficient and necessary conditions for G1 smoothness of surface patches with rounded corners and investigates curvature integrability.
AI-generated summary
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
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