摘要
均匀二次Ｂ样条曲线虽然具有保凸性，但曲线不通过任何给定的控制多边形的顶点．本文在多边形相邻的２个顶点之间插入２个ｄeＢｏｏｒ点，这些ｄｅＢｏｏｒ点形成一个新的控制多边形，由此所产生的均匀二次Ｂ样条曲线不但插值原来给定的控制多边形的所有顶点，而且保凸．本文描述的曲线可以作局部修改．最后给出２个数值例子．
Althrough uniform B-spline curve has convexity preserving property, the curvedoesn't interpolate any vertices of the given control polygon. If we insert two deBoorpoints between two consecutive verices of polygon,these deBoor points will form a newcontrol polygon,we show that uniform quadratic B-spline curve generated by the newcontrol polygon interpolates all vertices of the old given control polygon,and theinterpolation curve is convextity preserving. The local modifications of the curve arepossible.At last,two numerical examples are given.
出处
《北京服装学院学报（自然科学版）》
CAS
1999年第2期74-79,共6页
Journal of Beijing Institute of Fashion Technology：Natural Science Edition
