任意偶数次Said-Ball基的对偶基的应用
Application of Dual Basis for Even Degree Said-Ball Basis
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摘要: 利用任意偶数次Said-Ball基的对偶基,给出Said-Ball基函数下的Marsden恒等式,并实现Bézier曲线到Said-Ball曲线的转换.这些结果对Said-Ball曲线在CAGD中的应用及推广是极为有益的.Abstract: By means of dual basis for Said-Ball basis of even degree,we obtained Marsden identity and realized the conversion from Bézier curve to Said-Ball curve.These results are useful for the application of Said-Ball curve and its popularization in Computer Aided Geometric Design.
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