【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．更多还原

【Abstract】 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.更多还原