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。本文利用一种分母为线性的有理三次插值样条，讨论了将该种插值曲线约束于给定的折线、二次曲线之上、之下或之间的条件，并给出了数值例子。
Constraining the interpolating curves to be bounded in the given region is an important issue in curve design. By using the rational cubic splines with linear denominators, the sufficient conditions that constrains the interpolating curves to be above, below or between the given broken lines or piecewise quadric curves are derived. An example is given in the end of this paper.
出处
《工程图学学报》
CSCD
2000年第1期66-72,共7页
Journal of Engineering Graphics
基金
国家自然科学基金
英国皇家基金
关键词
曲线设计
有理插值
约束插值
插值曲线
形状控制
curve design, rational interpolation, cubic spline, constraint interpolation
