摘要
本文讨论了任意次数的广义Ｂａｌｌ曲线的性质和它们的应用，如：一般的升阶公式，Ｂéｚｉｅｒ曲线与广义Ｂａｌｌ曲线之间的转换，极限定理，对偶基，广义Ｂａｌｌ基函数下的Ｍａｒａｄｅｎ恒等式，降阶赋值算法，单位分解性质等．
Generalized Ball curves of arbitrary degree were gained by extending that of odd degree, and its many properties and applications, such as degree raising formula, transformation between gerenalized Ball curves and Bézier curves, limiting theorem, dual basis, Marsden equavilent under generalized Ball basis, elvaution algorithm by lowing degree and unit properity etc., were discussed.
出处
《应用数学学报》
CSCD
北大核心
2000年第4期580-595,共16页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金!(60903009号)
上海市教委青年基金
