| 含参代数曲面族的拼接问题 |
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| 引用本文： | 郭明浩. 含参代数曲面族的拼接问题[J]. 吉林大学学报(理学版), 2012, 50(2): 267-269 |
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| 作者姓名： | 郭明浩 |
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| 作者单位： | 吉林大学 数学学院, ,长春 130012 |
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| 基金项目： | 国家自然科学基金(批准号:60973155) |
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| 摘 要： | 考虑含参代数曲面族的拼接问题. 先将代数曲面的几何连续性定义及一些关于拼接的经典理论推广到含参代数曲面族情形, 再将全局Grbner系统方法应用到含参代数曲面族拼接问题中. 结果表明, 计算得到的拼接曲面族与输入曲面族“正好”拼上.
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| 关 键 词： | 含参代数曲面族； 拼接； 几何连续性； 全局Gr〖AKo¨D〗bner系统 |
| 收稿时间： | 2012-01-11 |
The Blending Problem of Multi-parametric Algebraic Surface Families |
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| GUO Ming-hao. The Blending Problem of Multi-parametric Algebraic Surface Families[J]. Journal of Jilin University: Sci Ed, 2012, 50(2): 267-269 |
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| Authors: | GUO Ming-hao |
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| Affiliation: | College of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | This paper is devoted to the blending problem of multi-parametric algebraic surface families.We extend the definition of geometric c ontinuity and the blending theory for algebraic surfaces to multi-parametric al gebraic surface families,and finally apply the comprehensive Grbner system method to blend multi-parametric algebraic surface families.Our results show that the computed blending surface families blend the input surface families precisely. |
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| Keywords: | multi-parametric algebraic surface family blending geometric continuity comprehensive Grbner system |
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