| 平面三次NURBS曲线的自动光顺算法 |
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| 引用本文： | 康宝生,赵录刚. 平面三次NURBS曲线的自动光顺算法[J]. 计算机辅助设计与图形学学报, 2002, 14(3): 225-227 |
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| 作者姓名： | 康宝生 赵录刚 |
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| 作者单位： | 西北大学数学系,西安,710069 |
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| 基金项目： | 国家自然科学基金 (60 0 72 0 44 )，陕西省教育厅基金 (0 0 JK119)资助 |
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| 摘 要： | 针对平面三次NURBS曲线的光顺问题，基于节点插入，节点消法和重新确定权因子等技术，给出了平面三次NURBS曲线的一种同算法，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。
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| 关 键 词： | 曲率 平面三次NURBS曲线 权因子修改 自动光顺算法 CAGD 计算机辅助设计 |
| 修稿时间： | 2000-12-22 |
Automatic Fairing Algorithm for Planar Cubic NURBS Curves |
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| Kang Baosheng Zhao Lugang. Automatic Fairing Algorithm for Planar Cubic NURBS Curves[J]. Journal of Computer-Aided Design & Computer Graphics, 2002, 14(3): 225-227 |
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| Authors: | Kang Baosheng Zhao Lugang |
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| Abstract: | The algorithm is based on knot removal, knot insertion, and weight modification of the NURBS. These knots and weights are selected automatically by means of a fairness criterion. The proposed algorithm includes Farin's algorithm as a special case. The advantages of the new algorithm compared with Kjellander's algorithm are: 1) It is automatic, no user interaction is required. 2) It is local, each time the algorithm is applied, at most three control vertices are affected. 3) It is ensured that the fairing curve will be exactly C 3 at the offensive knot location. 4) It preserves the local convexity property of the initial curve. |
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| Keywords: | NURBS curve fairness curvature knot insertion knot removal weight modification |
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