| 局部能量最优法与曲线曲面的光顺 |
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| 引用本文： | 龙小平.局部能量最优法与曲线曲面的光顺[J].计算机辅助设计与图形学学报,2002,14(12):1109-1113. |
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| 作者姓名： | 龙小平 |
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| 作者单位： | 复旦大学数学研究所,上海,200433 |
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| 摘 要： | 曲线光顺处理的方法主要有选点修改法和优化方法，而Kjellander方法是最常的选点修改法之一，文中提出一种选点修改法－局部能量最优法，该方法在三次均匀参数曲线法顺问题上进一步改进了Kjellander方法，具有更好的光顺效果，对三次B样条曲面给出了一个与此相关的曲面光顺方法。
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| 关 键 词： | 局部能量最优法 曲线曲面 光顺 三次样条 B样条 计算几何 |
| 修稿时间： | 2001年9月24日 |
Fairing of Curves and Surfaces by Local Energy Optimization |
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| Long Xiaoping.Fairing of Curves and Surfaces by Local Energy Optimization[J].Journal of Computer-Aided Design & Computer Graphics,2002,14(12):1109-1113. |
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| Authors: | Long Xiaoping |
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| Abstract: | Curve fairing methods mainly consist of revising selected points and global optimization. Kjellander's algorithm is one of the most common methods in revision of selected points. We present a local energy optimization(LEO) approach. In the case of uniformly parametrized cubic splines, LEO improves Kjellander's algorithm and gets better fairing effect. The corresponding method of surface fairing is also offered. |
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| Keywords: | fairing cubic spline energy curvature |
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