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| C-Bézier曲线的形状修改 |
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樊建华1,2, 张纪文1,2, 邬义杰1,2
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1.浙江大学,生产工程研究所,浙江,杭州,310027;2.浙江大学,CAD&CG国家重点实验室,浙江,杭州,310027
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| 摘要: |
| 提出了控制C-Bézier曲线形状的两种方法:修改控制参数(和修改控制顶点.在分析C-Bézier基函数导数曲线特性的基础上,得出了控制参数(对曲线形状的作用,提出了调节控制参数修改曲线形状的方法;另一方面,基于控制顶点与曲线形状关系几何模型,建立了调节控制顶点修改曲线形状的算法.上述成果已应用于纸盆模具CAD/CAM软件设计系统的实践中,并取得了良好的效果. |
| 关键词: 曲线 形状控制 C-Bézier曲线 Bézier曲线 CAGD(computer aided geometric design) CAD/CAM |
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| 基金项目:国家自然科学基金资助项目(60073025) |
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| Shape Modification of C-Bézier Curves |
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FAN Jian-hua,ZHANG Ji-wen,WU Yi-jie
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| Abstract: |
| In this paper, two methods of changing the control parameter a and changing control points are presented for the shape modification of C-Béier curves. The relation between C-Béier curves and the control parameter a is obtained based on the analysis of the derivative C-Béier basis functions. Furthermore, the way of modifying the shape by the adjustment of a is introduced. On the other hand, the algorithm of shape control by modifying control points is given relying on the model between the shape of the curve and control points. The results have been applied to the CAD/CAM system for speaker cone models, which has got a good effect. |
| Key words: curve shape modification C-Béier curve Béier curve CAGD （computer aided geometric design） CAD/CAM |
