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arXiv · 2203.12345

Surface Patches with Rounded Corners

Benjamin Marussig·Ulrich Reif
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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

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Benjamin Marussig, Ulrich Reif. 2022-03-23. Surface Patches with Rounded Corners. https://doi.org/10.1016/j.cagd.2022.102134

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