两条Bézier样条曲线G^n连续下的光滑连接

On Smooth Connection between Two Bézier Spline Curves in Gn Continuity

利用插值方法,研究用一条样条曲线把两条不相连的样条曲线光滑连接起来的问题,给出了连接两条n次参数样条曲线为一条新的n次参数样条曲线的充分条件,并进一步得到了两条一次、二次、三次Bzier样条曲线在几何连续性下实现自然光滑连接的条件.

For any two segregated spline curves, the problem of their smooth connection with a spline curve is studied by the method of interpolation points. The sufficient condition is given for connecting two univariate parametric splines with degree n into a new univariate parametric spline curves with degree n. and the conditions is obtained for smooth connection of two Bezier spline curves with respect to degree 1, degree 2 and 3 in geomet-ric continuity.