论文标题
圆角的表面斑块
Surface Patches with Rounded Corners
论文作者
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