期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2012
卷号：2012
DOI：10.1155/2012/473582
出版社：Hindawi Publishing Corporation
摘要：A piecewise algebraic curve is a curve defined by the zero set of a bivariate
spline function. Given two bivariate spline spaces 𝑆𝑟𝑚
(Δ) and 𝑆𝑡𝑛
(Δ) over
a domain D with a partition Δ, the Bezout number BN(m,r;n,t;Δ) is defined
as the maximum finite number of the common intersection points of two arbitrary
piecewise algebraic curves 𝑓(𝑥,𝑦)=0 and 𝑔(𝑥,𝑦)=0, where 𝑓(𝑥,𝑦)∈𝑆𝑟𝑚
(Δ)
and 𝑔(𝑥,𝑦)∈𝑆𝑡𝑛
(Δ). In this paper, an upper bound of the Bezout number for
piecewise algebraic curves over a rectangular partition is obtained.
