J4 ›› 2008, Vol. 30 ›› Issue (4): 37-39.
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胡国胜[1,2] 江巨浪[1]
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摘要：
本文构造的带形状参数的2m＋2次Ball基及Ball曲线具有和Ball基及曲线同样的性质，它可以通过调节形状参数A值根据需要控制曲线形状，避免了通过改变控制点的位置来调整曲线的形状，而且参数值越大，曲线越光滑。最后，通过由带参数Ball曲线生成圆形和花瓶的实例说明本文方法是可行的。
关键词: Ball基 Ball曲线 Bernstein基 形状参数 控制点
Abstract:
In this paper, the 2m＋2 order Ball bases and Ball curves with a shape parameter 2 are constructed. They have the same properties as Ball bases and cu rves. We can control the Ball curves＇ changing by adjusting the parameters λ , without moving the control point positions. The larger the parameterλ, , the smoother the curve. Finally, the simulation exampies of the circle and the vase generated by the 4th order Ball curves with parameters show the pr oposed method in this paper is feasible and effective.
Key words: Ball base, Ball eurve, Bernstein base;shape parameter, control point
胡国胜[1,2] 江巨浪[1]. 含形状参数2m＋2次Ball曲线简易构造方法[J]. J4, 2008, 30(4): 37-39.
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链接本文: http://joces.nudt.edu.cn/CN/
http://joces.nudt.edu.cn/CN/Y2008/V30/I4/37
