| 两个代数曲面沿平面截口的光滑拼接 |
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| 引用本文： | 罗静,李云东.两个代数曲面沿平面截口的光滑拼接[J].成都信息工程学院学报,2008,23(3):333-336. |
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| 作者姓名： | 罗静 李云东 |
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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 |
Smooth blending of two algebraic surface along planar sections |
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| LUO Jing,LI Yun-dong.Smooth blending of two algebraic surface along planar sections[J].Journal of Chengdu University of Information Technology,2008,23(3):333-336. |
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| Authors: | LUO Jing LI Yun-dong |
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| Institution: | LUO Jing,LI Yun-dong(Dept.of Mathematics,Sichuan University of Science & Engineering,Zigong 643000,China) |
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| Abstract: | The problem of the blending of the quadratic and thrice algebraic surfaces is transformed into the existence of the nonzero solution of some homogeneous linear equations.The existence conditions of the cubic and quadratic blending surfaces are obtained.An algorithm is presented. |
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| Keywords: | computer algebra ideal blending surface algebraic surface |
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