一种新的自由曲线的造型方法

A New Method of Free Curve Modeling

研究了型值点与曲线的位置,利用曲线方程的已有属性,构造出一种样条曲线,使曲线通过型值点又不必作反求计算。并根据曲线方程的特点,对参数的选取进行了分析。通过采用适当的参数化方法,曲线的光顺性得到了进一步提高。理论分析和编程实验证明以上方案是可行的。该算法的运算速度快,生成的曲线有较好的光顺性,有一定的应用价值。

The research on the relation between the position of given points and the position of the curve is done in this paper. With the property of the curve equation, a spline curve passing through the given points is generated without calculating the control points. Analysis on the choice of parameters is done according to the feature of the equation. Theoretic analysis and experiment show that this project is workable. It has high computing speed and the smoothness or fairness of the curve is better. It is of some value in practical application.