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。构造了一种分母为线性的基于函数值的连续有理四次插值样条。这种有理四次插值样条中含有参数,因而可以在插值条件不变的情况下通过对参数的选择进行曲线的局部修改,给约束控制带来了方便。对该种插值曲线的区域控制问题进行了研究,给出了将其约束于给定的折线,二次曲线之上、之下或之间的充分条件.最后给出了数值例子。
To constrain the interpolating curves to be bounded in the given region is an important problem in curve design.A rational quartic interpolating spline based on function values with linear denominator is constructed.The sufficient conditions for the interpolating curves to be above,below or between the given broken lines or piecewise quadratic curves are derived.An example is given in the end of this paper .
出处
《计算机工程与应用》
CSCD
北大核心
2008年第20期192-195,248,共5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.06JJY4073)
湖南省教育厅科研资助项目(No.06C791)
关键词
计算机应用
有理插值
四次样条
区域控制
computer application
rational interpolation
quartic spline
region control
