空间曲线段间的光滑连接

ON SMOOTH CONNECTION OF CURVES

讨论空间中曲线段间的光滑连接 .在讨论存在性的同时 ,给出了连接曲线的实际构造 .这种构造方法易于确定出具体光滑连接曲线的相应计算机程序 。

For any two pieces of curves, a method is given to construct some suitable curves combining one of them with another and having suitable smoothness. The method is easy to give a certain way determining the connection by computer. And it could be used to solve similar problems in Riemannian manifolds.