摘要
依据参数曲线凸性的原始几何定义,讨论了参数曲线的局部凸和全局凸性,得到了参数曲线局部凸和全局凸的若干性质。给出了参数曲线的拐点定义,讨论了参数曲线的拐点与局部性之间的关系,导出了参数曲线拐点判别的充要条件及算法。
Based on the original geometrical definition of the convexity for planar parametric curve,the local and global con-vexity are discussed,and a few properties are obtained.In addition,the definition of inflection point is given,the relationship of local convexity and inflection points of planar parametric curve is discussed,a necessary and sufficient condition is presented for the distinguishable condition of inflection points.
出处
《计算机工程与应用》
CSCD
北大核心
2010年第23期188-189,218,共3页
Computer Engineering and Applications
基金
国家自然科学基金No.60773110
湖南科技计划项目(No.2008FJ3046)~~
关键词
局部凸性
全局凸性
拐点
相对曲率
local convexity
global convexity
inflection points
relative curvature
