| 一个二次与一个三次曲面代数拼接 |
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| 引用本文： | 李云东,罗静. 一个二次与一个三次曲面代数拼接[J]. 大理学院学报：综合版, 2008, 7(2): 59-63 |
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| 作者姓名： | 李云东 罗静 |
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| 作者单位： | 四川理工学院数学系,四川自贡,643000 |
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| 摘 要： | 将一个二次曲面和一个三次曲面沿平面接口的拼接曲面的存在性转化为求三个多项式理想交的成员问题,进而化为一组齐次线性方程组的非零解的存在问题。给出了三次和四次拼接曲面存在的条件,并且给出了拼接曲面的计算方法。
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| 关 键 词： | 计算机代数 理想 曲面拼接 代数曲面 |
| 文章编号： | 1672-2345(2008)02-0059-05 |
| 修稿时间： | 2007-04-09 |
Blending of quadric and cubic implicit algebraic surfaces along planar sections |
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| LI Yun-dong,LUO Jing. Blending of quadric and cubic implicit algebraic surfaces along planar sections[J]. Journal of Dali University, 2008, 7(2): 59-63 |
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| Authors: | LI Yun-dong LUO Jing |
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| Affiliation: | (Mathematics Department, Siehuan University of Science ＆ Engineering, Zigong, Sichuan 643000, China) |
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| Abstract: | The problem of the blending of quadratic and thrice algebraic surfaces was transformed into ascertaining the existence of nonzero solution of some homogeneous linear equations.The existence conditions of cubic and quartic blending surfaces were obtained.Finally,an algorithm was presented. |
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| Keywords: | computer algebra ideal blending surface algebraic surface |
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