| 实分片代数曲线的拓扑结构 |
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| 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 |
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| 作者姓名： | 王仁宏 朱春钢 |
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| 作者单位： | 大连理工大学数学科学研究所,大连,116024 |
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| 基金项目： | 国家自然科学基金(批准号:10271022) |
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| 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.
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| 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： | 2003-04-11 |
TOPOLOGY OF PIECEWISE ALGEBRAIC CURVES |
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| 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 |
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| Authors: | Wang Renhong Zhu Chungang Institute of Mathematical Sciences Dalian University of Technology Dalian |
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| Affiliation: | Wang Renhong Zhu Chungang Institute of Mathematical Sciences, Dalian University of Technology, Dalian, 116024 |
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| 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. |
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| Keywords: | Piecewise Algebraic Curves Algebraic Curves Bivariate Splines Topology |
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