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1. S-λ Bases and S-λ Curves | |||
Fan Feilong ,Zeng Xiaoming | |||
Mathematics 23 May 2011 | |||
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Abstract:In this paper the S-λ distributions are presented and the S-λ basis functions are constructed from the S-λ distributions by means of the technique of generating functions and transform factors. These basis functions generate S-λ curves. We show that S-λ curves include Bezier curves, Poisson curves, rational Bezier curves and a lot of other curves. Therefore the researches of this paper provide a unified scheme for dealing with these famous curves. We study the important properties and identities of the S-λ basis functions and S-λ curves. Furthermore, by means of the technique of the generating function, a new convenient and practical method for local changes of S-λ curves is proposed. | |||
TO cite this article:Fan Feilong ,Zeng Xiaoming . S-λ Bases and S-λ Curves [OL].[23 May 2011] http://en.paper.edu.cn/en_releasepaper/content/4428911 |
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