Surface Patches with Rounded Corners

Benjamin Marussig; Ulrich Reif

Surface Patches with Rounded Corners

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arxiv 2203.12345 v2 pith:T5DFLGO4 submitted 2022-03-23 cs.CG

Benjamin Marussig , Ulrich Reif This is my paper

classification cs.CG

keywords patchesroundedsurfaceanalyzeantiparallelcasecertainconditions

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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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