有理二次插值曲线的形状控制  

Shape control of rational quadratic interpolating curve

作　　者：邓四清[1] 方逵[2] 谢进[3] 

机构地区：[1]湘南学院数学系,湖南郴州423000 [2]湖南师范大学数学与计算机科学学院 [3]合肥学院数理系,合肥230601

出　　处：《计算机工程与应用》2007年第29期40-42,62,共4页Computer Engineering and Applications

基　　金：国家自然科学基金( the National Natural Science Foundation of China under Grant No.20206033);湖南省自然科学基金( the Natural Science Foundation of Hunan Province of China under Grant No.06JJ4073) ;湖南省教育厅资助科研课题( the Research Project of De- partment of Education of Hunan Province; China under Grant No.06C791) ;长沙市高新技术项目( No.K051127- 72)

摘　　要：将插值曲线约束于给定的区域之内是曲线形状控制中的重要问题。构造了一种分母为二次的连续有理二次插值函数,这种有理二次插值函数中含有参数,因而给约束控制带来了方便。同时可以通过对参数的控制实现连续的插值。给出了将该种插值曲线约束于给定的折线、二次曲线之上、之下或之间的充分条件及将其约束于给定折线之上、之下或之间的充分必要条件。To constrain the interpolating curves to be bounded in the given region is an important problem in curve design.A rational quadratic interpolation function with quadratic denominators has been constructed.The sufficient conditions for the interpolating curves to be above,below or between the given broken lines or piecewise quadratic curves and the sufficient and necessary conditions for the interpolating curves to be above,below or between the given broken lines have been derived.

关 键 词：计算机应用 曲线设计 有理插值 形状控制 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]