论文标题

圆角的表面斑块

Surface Patches with Rounded Corners

论文作者

Marussig, Benjamin, Reif, Ulrich

论文摘要

我们分析了一个角落的表面斑块,从那时起的部分衍生物是反平行的。给出了足够的$ g^1 $平滑度的条件,最多需要一定的堕落情况。此外,我们研究了曲率的整合性,并提供了示例

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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