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.
出处
《计算机工程与应用》
CSCD
北大核心
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)
关键词
计算机应用
曲线设计
有理插值
形状控制
computer application
curve design
rational interpolation
shape control
