【摘要】 Wang Ball曲线作为一种广义Ball曲线已经在参数曲线求值、升降阶计算中显示出极其有效的作用 .为了在几何设计中更好地发挥其作用 ,应当用简单的方法求出Bernstein基到Wang Ball基的转换矩阵 .该文借助于一个多项式的展开算法 ,给出了这个转换矩阵 ,即给出了B啨ｚｉｅｒ曲线到Ｗａｎｇ Ball曲线的转换公式 ,并应用它简捷地推导出n次Wang Ball曲线的中点离散公式 .更多还原

【Abstract】 As a kind of generalized Ball curves, Wang Ball curves have shown greatly efficient effects on evaluating parametric curves, degree elevation and degree reduction. In order to exert its effect on geometric design, we should use a simple method to derive the conversion matrix from the Bernstein basis to the Wang Ball basis. By an algorithm for polynomial expanding, this paper gives a conversion matrix, that is, a conversion formula from Bézier curves to Wang Ball curves. And this formula is applied to derive the midpoint subdivision formula of degree n Wang Ball curves.更多还原