二元二次样条曲面拼接问题

The connection problem of bivariate quadratic spline surfaces

运用光滑余因子方法研究了定义在2个不相交的闭多边形区域上的二元二次样条曲面的光滑连接问题,并且给出2个例子,它们表明2个二元二次样条曲面能否实现光滑连接取决于连接区域所采用的剖分.

Studied the smooth connection problem of bivariate quadratic spline surfaces which defined on two nonintersecting and closed polygonal region with the method of smooth co-factor. Presented two examples which show that whether such two bivariate quadratic spline surfaces can be connected smoothly or not depends on the partition of the connecting region.