ω-Bezier
ω-Bezier
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DOI：
10.1109/cadcg.2007.4407852
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发表时间：
2007-10
期刊：
影响因子：
--
通讯作者：
Mei-e Fang;Guozhao Wang
中科院分区：
文献类型：
--
作者：
Mei-e Fang;Guozhao Wang
A new kind of Bézier-like basis with a frequency parameter, called ω-Bezier basis, is presented. It unifies and extends the Bézier basis, C-Bézier basis and H-Bézier basis defined over polynomial space, trigonometric polynomial space and hyperbolic polynomial space respectively. The ω-Bezier basis is defined in the space spanned by {cosωt, sinωt, 1, t,..., tk-2}, where ω = α, αϵR, κ is an arbitrary nonnegative integer. The ω-Bezier basis persists all desirable properties of the existing Bézier-like bases. Furthermore, it also has some special properties advantageous for modeling free form curves and surfaces, for example shape adjustability relative to the frequency parameter.
