广义三次DP曲线的形状分析  

Shape analysis of generalized cubic DP curve

作　　者：陈福来[1] 吴晓勤[1] 朱秀云[1] 

机构地区：[1]湖南科技大学数学与计算科学学院,湖南湘潭411201

出　　处：《电子设计工程》2012年第12期5-8,12,共5页Electronic Design Engineering

基　　金：湖南省教育厅资助科研项目(08B027);湖南科技大学研究生创新基金项目(S110124)

摘　　要：基于包络理论和拓扑映射的方法对广义三次DP曲线进行了形状分析,首先讨论了空间曲线的变挠性;接着讨论了曲线含有奇点、拐点、局部凸和全局凸的充分必要条件,得出了其形状分布图;最后就参数对形状分布图的影响作了进一步的讨论。In this paper, the shape features of generalized cubic DP curves are analyzed by using the method that based on the theory of envelope and topological mapping, The fist, the curve＇s flexible is discussion in space; the next, Necessary and sufficient conditions are discussed for generalized cubic DP curves of singular points, inflection point, local and globally convexity, and obtained shape diagram of the distribution regions. The influences of shape parameters on the shape diagram are analysis.

关 键 词：三次DP曲线 形状参数 奇点 拐点 凸性 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]