过渡曲面的母线构造法

BLENDING SURFACE VIA GENERATRIX

过渡曲面的构造是ＣＡＤ的一个基本问题。构造圆管和椭圆管之间的过渡曲面吸引了许多学者的注意，并提出了一些方法。本文用母线法构造叉管的过渡曲面，给出了曲面方程，同时得到了具有简单几何意义的ＧＣ１条件。

Surface blending is a basic problem in CAD.In many cases round and/or elliptical tubes need to be blended,and many methods have been presented.In this paper,we present a mathod which is based on generatrix.The blending equation is given,and GC 1 with simple geometry meaning is described.