| 一类3次代数曲线的光滑拼接及保凸性 |
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| 引用本文： | 喻德生,师晶,曾接贤. 一类3次代数曲线的光滑拼接及保凸性[J]. 江西师范大学学报(自然科学版), 2010, 34(2) |
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| 作者姓名： | 喻德生 师晶 曾接贤 |
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| 作者单位： | 1. 南昌航空大学数学与信息科学学院,江西,南昌,330063
2. 南昌航空大学计算机学院,江西,南昌,330063 |
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| 基金项目： | 国家自然科学基金，江西省教改项目 |
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| 摘 要： | 研究了具有几何约束的一类3次代数曲线的光滑拼接及保凸性问题,得到2条3次代数曲线的G1、G2光滑拼接定理,以及2条3次代数曲线光滑拼接的保凸性定理和多条3次代数曲线光滑拼接的全凸性定理.
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| 关 键 词： | 3次代数曲线 光滑拼接 保凸性 全凸性 |
Smooth Connection and Convex-Preserving for a Class of Cubic Algebraic Curves |
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| YU De-sheng,SHI Jing,ZENG Jie-xian. Smooth Connection and Convex-Preserving for a Class of Cubic Algebraic Curves[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2010, 34(2) |
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| Authors: | YU De-sheng SHI Jing ZENG Jie-xian |
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| Affiliation: | YU De-sheng1,SHI Jing1,ZENG Jie-xian2(1.College of Mathematics and Information Sciences,Nanchang Hangkong University,Nanchang Jiangxi 330063,China,2.College of Computer,China) |
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| Abstract: | The problems of smooth connection and convex-preserving for a class of cubicalgebraic curves with geometric constraints are investigated.The G1 and G2 smooth connection theorems for two cubic algebraic curves are obtained.The convex-preserving theorem of smooth connection for two cubic algebraic curves and the global convexity theorem of smooth connection for several cubic algebraic curves are also given. |
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| Keywords: | cubic algebraic curves smooth connection convex-preserving global convexity |
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