| 区间有理曲线的降阶 |
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| 引用本文： | 孙红兵,陈效群,李怀远.区间有理曲线的降阶[J].中国科学技术大学学报,2006,36(9):968-973,976. |
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| 作者姓名： | 孙红兵 陈效群 李怀远 |
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| 作者单位： | 1. 昆明理工大学理学院,云南昆明,650093
2. 中国科学技术大学数学系,安徽合肥,230026 |
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| 基金项目： | 国家自然科学基金;云南省教育厅资助项目 |
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| 摘 要： | 针对用低阶区间有理曲线来界定高阶区间有理曲线的问题，提出了线性规划和最佳一致逼近两种不同的解决方法，并以实例验证，结果表明最佳一致逼近方法比线性规划方法有更佳的逼近效果并能提供更紧的界．
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| 关 键 词： | 区间有理曲线 降阶 线性规划 最佳一致逼近 计算机辅助设计 |
| 文章编号： | 0253-2778（2006）09-0968-06 |
| 收稿时间： | 2004-09-20 |
| 修稿时间： | 2004-09-202006-03-10 |
Degree reduction of interval rational curves |
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| SUN Hong-bing,CHEN Xiao-qun,LI Huai-yuan.Degree reduction of interval rational curves[J].Journal of University of Science and Technology of China,2006,36(9):968-973,976. |
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| Authors: | SUN Hong-bing CHEN Xiao-qun LI Huai-yuan |
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| Institution: | 1. Faculty of Science, Kunming University of Science and Technology, Kunming 650093, China; 2. Department of Mathematics, University of Science and Technology of China, Hefei 230026,China |
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| Abstract: | Two different methods(linear programming and optimal uniform approximation) were proposed to solve the problem of bounding interval rational curves with lower degree interval rational curves and an example is provided to demonstrate the algorithms.The experimental results show that the optimal uniform approximation method is generally more efficient and produces tighter bound than the linear programming method. |
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| Keywords: | interval) rational curves degree reduction linear programming optimal uniform approximation computer aided design(CAD) |
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