摘要
提出了控制C-Bzier曲线形状的两种方法:修改控制参数a和修改控制顶点.在分析C-Bzier基函数导数曲线特性的基础上,得出了控制参数a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.
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.
出处
《软件学报》
EI
CSCD
北大核心
2002年第11期2194-2200,共7页
Journal of Software
基金
国家自然科学基金资助项目(60073025)~~
关键词
C-BÉZIER曲线
形状修改
CAD
CAM
curve
shape modification
C-Béier curve
Béier curve
CAGD (computer aided geometric design)
CAD/CAM
