光滑函数的XB保形插值逼近

Approximation of XB Shape-preserving Interpolation In the Smooth Function

本文利用ＸＢ—基函数构造了光滑函数的一种保形插值样条函数：ＸＢ－插值样条函数。用这种插值样条函数逼近连续函数，在连续阶、逼近阶、保形性等几方面都有较好的效果，而且本文的方法能推广到ＣＡＧＤ中。

By employing XB basis function, this paper constructs a shape-presserving inter- polating spline function to the smooth function: XB-interpolating spline function. The con- structed function has a better property in continuity, approximation order and shape-preser- vance, etc.. The method adopted in this paper can also be used in CAGD.