基于三次样条的平面多值曲线的绘制  

A Method of Drawing Multivalued FunctionCurve Based on Cubic Spline

作　　者：刘成[1] 

机构地区：[1]沈阳航空工业学院计算中心

出　　处：《沈阳航空工业学院学报》2001年第3期57-58,87,共3页Journal of Shenyang Institute of Aeronautical Engineering

摘　　要：用三次样条插值函数不易直接绘制平面内的多值曲线。根据平面内已知的n个坐标对(x,y) ,本文选择已知点折线的累积长度为参数方程的参数 ,然后用三次样条函数建立参数方程 ,从而求解平面内的多值曲线。This paper presents a method to construct a parametric equation based on the initial cubic spline interpolation formula.The parameter is used as the accumulative length of broken lines between coordinate points.With this parametric equation and some necessary boundary conditions,we can get the smoothly multivalued function curve.Practice has shown the correctness and effectiveness of this method.

关 键 词：三次样条函数 平面多值曲线 参数方程 曲线绘制 插值方法 

分 类 号：O174.4[理学—数学]