| 平面NURBS曲线的自动光顺算法 |
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| 引用本文： | 樊敏,康宝生.平面NURBS曲线的自动光顺算法[J].西北大学学报,2004,34(6):643-645,650. |
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| 作者姓名： | 樊敏 康宝生 |
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| 作者单位： | [1]西北大学数学系 [2]西北大学计算机科学系，陕西西安710069 |
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| 基金项目： | 陕西省教育厅专项基金资助项目(00JK119) |
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| 摘 要： | 目的 给出平面NURBS曲线的自动光顺算法。方法 基于节点消去、插入和重新确定权因子等基本算法，根据给定的光顺准则，自动选择需要光顺的节点，局部修改控制顶点和权因子。结果 建立保凸节点消去算法，实现了平面NURBS曲线的自动光顺。结论在给定误差范围内．该算法既可保证节点结构不变，也可对曲线进行微调，达到光顺目的。
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| 关 键 词： | NURBS曲线 光顺性 曲率 节点消去 节点插入 权因子修改 |
| 文章编号： | 1000-274X(2004)06-0643-03 |
Automatic fairing algorithm for planar NURBS curves |
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| FAN Min,KANG Bao-sheng.Automatic fairing algorithm for planar NURBS curves[J].Journal of Northwest University(Natural Science Edition),2004,34(6):643-645,650. |
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| Authors: | FAN Min KANG Bao-sheng |
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| Institution: | FAN Min~1,KANG Bao-sheng~2 |
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| Abstract: | Aim An automatic faring algorithm for planar NURBS curves is presented.Methods Based on knot removal, knot insertion, and weight modification, the knots which are wanted to fair are selected automaticly, the control points and weights are modified locally. Results A knot removal algorithm preserving convexity is given for fairing NURBS curves. Conclusion In the arrange of given error, the local convexity of the initial curve and the structure of knots are preserved. |
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| Keywords: | NURBS curve fairness curvature knot removal knot insertion weight modification |
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