摘要
旋转曲面的设计在CAD/CAM及CAGD中有重要作用。由于给定Gauss曲率函数的嵌入旋转曲面存在性问题已经得到较好的证明,故使得曲面的设计成为可能。给出了一种给定Gauss曲率函数的嵌入旋转曲面设计算法,该算法通过求解一个二阶微分方程,并适当选取初始条件,得到旋转曲面的位置矢量。最后,通过两个实例表明,该算法是可行的,为旋转曲面的工程设计与曲面造型提供了一个新方法。
The design of rotation surfaces is an important subject in CAD/CAM and CAGD. Since the existence of embedded rotation surface with given Gauss curvature function has been well proofed, the design and modeling of the surface becomes possible. An algorithrn for designing of embedded rotation surfaces with given Ganss curvature function is presented. The position vector of the rotation surface is obtained by solving second-order differential equations with proper initial condition. At last, some practical examples are given to indicate the algorithm is feasible, which presents a new method for engineering design and surface modeling of rotation surface.
出处
《计算机工程与设计》
CSCD
北大核心
2007年第24期5988-5990,5993,共4页
Computer Engineering and Design
基金
国家自然科学基金项目(50679039)
湖北省教育厅自然科学重点科研基金项目(D200613009)
关键词
旋转曲面
GAUSS曲率
嵌入
位置矢量
工程设计
曲面造型
rotation surface
Gauss curvature
embed
position vector
engineering design
surface modeling
