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区间有理曲线的降阶
Degree reduction of interval rational curves
【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.
【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.
【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;
【Key words】 interval) rational curves; degree reduction; linear programming; optimal uniform approximation; computer aided design(CAD);
【Key words】 interval) rational curves; degree reduction; linear programming; optimal uniform approximation; computer aided design(CAD);
【基金】 国家自然科学基金(10201030);云南省教育厅科学研究基金(0142063)资助
- 【文献出处】 中国科学技术大学学报 ,Journal of University of Science and Technology of China , 编辑部邮箱 ,2006年09期
- 【分类号】TP391.7
- 【被引频次】3
- 【下载频次】31