| 两个代数曲面的GCk拼接 |
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| 引用本文： | 伍铁如. 两个代数曲面的GCk拼接[J]. 吉林大学学报(理学版), 2002, 40(1): 36-39 |
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| 作者姓名： | 伍铁如 |
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| 作者单位： | 吉林大学数学研究所, 长春 130012 |
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| 基金项目： | 吉林大学青年教师科研基金 |
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| 摘 要： | 用代数几何工具, 讨论两个任意次代数曲面的GCk光滑拼接问题, 得到具有GCk连续的p次混合曲面存在性的判别条件, 并将所建 立的条件应用于几种常用情形, 得到相应条件和混合曲面的构造公式.
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| 关 键 词： | 理想 隐式代数曲面 混合曲面 控制曲面 标准展开式 |
| 文章编号： | 1671-5489(2002)01-0036-04 |
| 收稿时间： | 2001-11-02 |
| 修稿时间： | 2001-11-02 |
GCk Blending of Two Algebraic Surfaces |
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| WU Tie ru. GCk Blending of Two Algebraic Surfaces[J]. Journal of Jilin University: Sci Ed, 2002, 40(1): 36-39 |
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| Authors: | WU Tie ru |
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| Affiliation: | Institute of Mathematics, Jilin University, Changchun 130012, P.R.China |
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| Abstract: | In this paper, we discuss GC k blending problem of two algebraic surfaces of any degree by using the tools of algebraic geometry, obtain some conditions for the existense of blending surfaces of degree p with GC k continuity. We also deal with some special problems by using the conditions obtained in the paper and derive the corresponding condition and the constructive formulae of blending surfaces. The conditions obtained in this paper are of simple form, easy to be decided and constructive in some interest cases. |
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| Keywords: | ideal algebraic surfaces blending surfaces ruled surfaces canonical expansion |
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