| 两类新的广义Ball曲线 |
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| 引用本文： | 邬弘毅.两类新的广义Ball曲线[J].应用数学学报,2000,23(2):196-205. |
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| 作者姓名： | 邬弘毅 |
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| 作者单位： | 合肥工业大学数学系,合肥,230009 |
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| 基金项目： | 国家自然科学基金资助项目. |
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| 摘 要： | 本文提出两类新的广义Ｂａｌｌ曲线，一类介于Ｗａｎｇ（王国瑾）和Ｓａｉｄ广义Ｂａｌｌ曲线之间，另一类介于Ｂｅｚｉｅｒ和Ｓａｉｄ曲线之间，同时给出有关的升阶公式、递推算法及转化成Ｂｅｚｉｅｒ形式的系数公式。
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| 关 键 词： | 广义Ball曲线 Bezier曲线 升阶公式 递推算法 |
TWO NEW TYPES OF GENERALIZED BALL CURVES |
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| WU HONGYI.TWO NEW TYPES OF GENERALIZED BALL CURVES[J].Acta Mathematicae Applicatae Sinica,2000,23(2):196-205. |
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| Authors: | WU HONGYI |
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| Abstract: | This paper presents two new types of generalized Ball curves. The first type is located between the Wang-Ball curve and the Said-Ball curve and the second one between the Benzer curve and the Said-Ball curve. The relative degree elevation schemes, recursive algorithms and explicit conversion formulas to the B6zier representation are given. |
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| Keywords: | Generalized Ball curve j degree elevation scheme recursive algorithm Bernstein polynomial |
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