摘要
该文提出了4阶HBézier-like曲线位置、切线及曲率连续拼接的充要条件.给出了4阶H Bézier-like曲线的第二种等价表达式,解决了当α→0^+时如离散计算中出现的不稳定性问题,并提出了构造与多边形各边都相切的平面分段4阶HBézier-like曲线的简便算法.实现了离散算法,精确地表示了一段双曲正弦曲线.
The sufficient and necessary conditions for position,tangency and curvature for continuity among 4-order H Bézier-like curves are given.The second equivalent form of the 4-order H Bézier-like curves is proposed to solve the unstable problems in subdivision calculation when α→0^＋.A simple algorithm of constructing planar piecewise 4-order H Bézier-like curves with all edges tangent to given control polygons is described.The curve can be used to express the hyperbolic sine curve for application for subdivision algorithm.
出处
《数值计算与计算机应用》
CSCD
2007年第3期167-178,共12页
Journal on Numerical Methods and Computer Applications
