| NURBS曲线保凸性质的几何证明 |
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| 引用本文： | 柳朝阳. NURBS曲线保凸性质的几何证明[J]. 数学季刊, 2006, 21(1): 44-48 |
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| 作者姓名： | 柳朝阳 |
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| 作者单位： | Department of Mathematics，Zhengzhou University，Zhengzhou 450052，China |
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| 基金项目： | 国家自然科学基金;河南省优秀青年教师资助计划 |
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| 摘 要： | NURBS curves are convexity preserving, i.e. once the control polygon is convex, the associated NURBS curve will also be convex. In this paper this property is proved geometrically.
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| 关 键 词： | 凸性保留 结插入 贝塞尔曲线 的非均匀有理B样条 |
A Geometric Proof of the Convexity Preserving Property of NURBS Curves |
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| LIU Chao-yang. A Geometric Proof of the Convexity Preserving Property of NURBS Curves[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(1): 44-48 |
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| Authors: | LIU Chao-yang |
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| Affiliation: | Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China |
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| Abstract: | NURBS curves are convexity preserving, i.e. once the control polygon is convex, the associated NURBS curve will also be convex. In this paper this property is proved geometrically. |
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| Keywords: | convexity preserving knot-insertion Bezier curve NURBS curve |
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