| 平面参数曲线的凸性分析 |
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| 引用本文： | 方逵,姚杰.平面参数曲线的凸性分析[J].长沙大学学报,2006,20(2):58-61. |
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| 作者姓名： | 方逵 姚杰 |
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| 作者单位： | 长沙大学计算机科学与技术系,湖南,长沙,410003 |
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| 基金项目： | 湖南省自然科学基金，湖南省长沙市高新技术项目 |
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| 摘 要： | 从几何和凸集的角度,系统地给出了平面闭参数曲线全局凸和局部凸定义,并且证明了这两个定义是等价的.证明了一条不含二重点的C2正则平面全局闭凸曲线是局部闭凸曲线,并给出了n次的平面Bézier曲线局部凸的判别条件.
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| 关 键 词： | 凸曲线 凸集 局部闭凸曲线 全局闭凸曲线 平面n次Bézier曲线 |
| 文章编号： | 1008-4681（2006）02-0058-04 |
| 收稿时间： | 2006-02-10 |
| 修稿时间： | 2006-02-28 |
Convexity Analysis of Closed Parametric Curve |
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| FANG Kui,YAO Jie.Convexity Analysis of Closed Parametric Curve[J].Journal of Changsha University,2006,20(2):58-61. |
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| Authors: | FANG Kui YAO Jie |
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| Institution: | Department of Computer Science and Technology, Changsha University, Changsha 410003, China |
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| Abstract: | Based on geometry and convex set methods, this paper gives systemically the definitions of global and local convexity for planar closed parametric curve, and proves the two definitions are equivalent. This paper proves that rifled planar global closed convex curves with no lap points are local closed convex curves, and obtains that the planar convex degree n Bezier curves are local convex curves. |
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| Keywords: | Planar Convex Curve Convex Set Local Closed Convex Curve Global Closed Convex Curve planardegree n Bezier curves |
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