C^3连续的保凸四次B样条插值曲线  

A Convexity Preserving Quadratic B-spline Interpolation Curve

作　　者：王成伟[1] 姚云[1] 

机构地区：[1]北京服装学院基础课部,北京100029

出　　处：《北京服装学院学报（自然科学版）》2002年第1期66-70,共5页Journal of Beijing Institute of Fashion Technology：Natural Science Edition

摘　　要：四次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４个控制点,由此所产生的四次Ｂ样条曲线不但插值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,最后给出了１个数值例子．Although B-spline curve has convexity preserving property, the curve doesn't interpolate any vertices of the given control polygon. If we insert four control points between two consecutive vertices of polygon, the quartic B-spline curve generated by these control points interplates all vertices of the given control polygon, and the interpolation curve is convexity preserving. The local modificatons of the curve are possible. At last, one numerical example is given.

关 键 词：四次B样条插值曲线 计算机辅助几何设计 保凸性 控制点 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]