摘要
本文提出一种经过三点或另加一控制点或的生成平面参数三次曲线的方法。它兼顾插值与逼近两方面的需要,具有明显的直观几何解释,并能按照不同的要求灵活地选择参变量的值和控制点的位置以调整和控制曲线的形状。
In this paper,we give a method that generates the family of the parametric cubic curves passing through three given points with a control point.It is a compromise between interpolation and approximation,and possesses clear intuitive geometric interpretation.By manipulation of the parameter and the control point,it can be flexibly used to adjust and control the shape of curves to suit for different requests.
出处
《高校应用数学学报(A辑)》
CSCD
北大核心
1994年第2期171-176,共6页
Applied Mathematics A Journal of Chinese Universities(Ser.A)