实分片代数曲线的拓扑结构

TOPOLOGY OF PIECEWISE ALGEBRAIC CURVES

1.引言 用有限条不可约代数曲线对平面区域D∈R2进行剖分△,于是D被剖分为有限个子区域δ1,δ2,…,δN,它们称为胞腔.形成每个胞腔边界的线段称为网线,网线的交点称为网点或顶点,同一网线的两个端点称为相邻网点.

The piecewise algebraic curve is a kind generalization of the classical algebraic curve. By analyzing the topology of real algebraic curves on the triangles, a practically algrithm for analyzing the topology of piecewise algebraic curves is given. The algrithm produces a planar graph which is topologically equivalent to the piecewise algebraic curve.