摘要
本文以微分几何为工具,导出了回转曲面在体视投影下的轮廓线方程,外形线方程以及求外形线上尖点的方程,并对外形线上的尖点及轮廓线的可见性进行了分析,从而为计算机绘制回转曲面的体视投影图提供了数学模型.
Using differential geometry as a tool,this paper deduces the contour line equation of stereoprojection for revolutionary curved face,the visible line equation and the equation of the sharp point on the visible line. The visibilities of the contour line and the sharp point on the visible line are also analyzed.And so supply the mathematical model for computer to draw rota- tion surfaces stereograph.
关键词
计算机
制图学
体视图
回转曲面
computer graphics/stereograph
rotation surfaces