曲率连续保凸插值四次Bézier曲线及其误差分析  

CONVEXITY PRESERVING CURVATURE CONTINUOUS QUADRANTAL BZIER CURVES AND THEIR ERRORS

作　　者：柳朝阳[1] 

机构地区：[1]郑州大学数学系,郑州450052

出　　处：《数值计算与计算机应用》2005年第4期278-284,共7页Journal on Numerical Methods and Computer Applications

摘　　要：本文讨论了用四次Bezier曲线实现曲率连续的保凸插值曲线的方法,并给出了当数据点 加密时的收敛阶数,以及给定误差时插值曲线的误差分析．给出的曲线生成方法具有局部性, 并对凸性数据的曲率没有不必要的限制．This paper presents methods for constructing piecewise curvature continuous quadrantal Bézier curves, with locality, convexity preservation and interpolating to data-points. The convergence and the errors of these curves for interpolating to data-points are discussed. Moreover, there is no any unnecessary constraint for curvatures with given convex data-points.

关 键 词：收敛阶数 保凸性 四次BÉZIER曲线 曲率连续 局部性 插值曲线. 

分 类 号：O241.3[理学—计算数学]