保凸分段三次Bézier插值样条曲线  

CONVEXITY PRESERVING PIECEWISE CUBIC Bézier INTERPOLATION SPLINE CURVE

作　　者：唐小平[1] 

机构地区：[1]株洲工学院基础保部,株洲412008

出　　处：《数学理论与应用》2002年第1期87-89,共3页Mathematical Theory and Applications

摘　　要：本文讨论分段三次 Bézier曲线的保凸插值 ,对给定的凸数据点列在相邻两型值点之间构造两个三次 Bézier曲线子段 ,两段之间 G2连续的 ,所构造的曲线插值所有型值点且是This paper discusses convexity preserving piecewise bubic Bézier interpolation shpline curve.For giren a set of convex data points,between adjacent two data points,two cubic Bézier curve subsegments are constructed,which is G 2 continuous.The curve constructed in this paper interpolate all data points,and is G 1 continuous and corvexity preserving.

关 键 词：保凸插值 分段三次Bézier曲线 G^2连续 CAGD 参数曲线 参数曲面 

分 类 号：O241.3[理学—计算数学]