Curve construction based on four αβ-Bernstein-like basis functions
发布时间：2016-04-25
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所属单位：中南大学数学与统计学院
发表刊物：Journal of Computational and Applied Mathematics
关键字：Said–Ball basis; Bernstein basis; Quasi Extended Chebyshev space; B-spline curve; Shape paramete
摘要：Four new αβαβ-Bernstein-like basis functions with two exponential shape parameters, are constructed in this paper, which include the cubic Said–Ball basis functions and the cubic Bernstein basis functions. Within the general framework of Quasi Extended Chebyshev space, we prove that the proposed αβαβ-Bernstein-like basis is an optimal normalized totally positive basis. In order to compute the corresponding αβαβ-Bézier-like curves stably and efficiently, a new corner cutting algorithm is developed. Necessary and sufficient conditions are derived for the planar αβαβ-Bézier-like curve having sing
合写作者：Yuanpeng Zhu, Xuli Han, Shengjun Liu*
论文类型：基础研究
文献类型：J
卷号：273
期号：2015
页面范围：160-181
是否译文：否
发表时间：2015-01-01
发布期刊链接：http://www.sciencedirect.com/science/article/pii/S0377042714002878
附件：
Curve construction based on four -Bernstein-like basis functions JCAM2015.pdf