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实分片代数曲线的拓扑结构
引用本文:王仁宏,朱春钢.实分片代数曲线的拓扑结构[J].计算数学,2003,25(4):505-512.
作者姓名:王仁宏  朱春钢
作者单位:大连理工大学数学科学研究所,大连,116024
基金项目:国家自然科学基金(批准号:10271022)
摘    要: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 practi-caUy 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.

关 键 词:实分片代数曲线  拓扑结构  胞腔  网线  网点  环论
修稿时间:2003年4月11日

TOPOLOGY OF PIECEWISE ALGEBRAIC CURVES
Wang Renhong Zhu Chungang Institute of Mathematical Sciences,Dalian University of Technology,Dalian.TOPOLOGY OF PIECEWISE ALGEBRAIC CURVES[J].Mathematica Numerica Sinica,2003,25(4):505-512.
Authors:Wang Renhong Zhu Chungang Institute of Mathematical Sciences  Dalian University of Technology  Dalian
Institution:Wang Renhong Zhu Chungang Institute of Mathematical Sciences, Dalian University of Technology, Dalian, 116024
Abstract: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.
Keywords:Piecewise Algebraic Curves  Algebraic Curves  Bivariate Splines  Topology
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