Estimation of the Bezout number for piecewise algebraic curve

被引：14
|
作者：
Wang, RH [1 ]
Xu, ZQ [1 ]
机构：
[1] Dalian Univ Technol, Inst Math Sci, Dalian 116024, Peoples R China
来源：
SCIENCE IN CHINA SERIES A-MATHEMATICS | 2003年 / 46卷 / 05期
关键词：
piecewise algebraic curve; bezout theorem; triangulation; bivariate splines;
D O I：
10.1360/02ys0136
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A piecewise algebraic curve is a curve determined by the zero set of a bivariate spline function. In this paper, a conjecture on triangulation is confirmed. The relation between the piecewise linear algebraic curve and four-color conjecture is also presented. By Morgan-Scott triangulation, we will show the instability of Bezout number of piecewise algebraic curves. By using the combinatorial optimization method, an upper bound of the Bezout number defined as the maximum finite number of intersection points of two piecewise algebraic curves is presented.
引用
收藏
页码：710 / 717
页数：8
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