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.
出处
《数值计算与计算机应用》
CSCD
2005年第4期278-284,共7页
Journal on Numerical Methods and Computer Applications
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.
convergence, convexity preservation, quadrantal Bézier curves,curvature continuity, locality, interpolation
