一个二次与一个三次曲面代数拼接  

Blending of quadric and cubic implicit algebraic surfaces along planar sections

作　　者：李云东[1] 罗静[1] 

机构地区：[1]四川理工学院数学系,四川自贡643000

出　　处：《大理学院学报（综合版）》2008年第2期59-63,共5页Journal of Dali University

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。The problem of the blending nf 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 quartie blending surfaces were obtained. Finally, an algorithm was presented.

关 键 词：计算机代数 理想 曲面拼接 代数曲面 

分 类 号：R015[医药卫生]