摘要
本文研究了由三阶虚圆点曲线经过射影变换产生各种平面三次曲线。通过分析“非固有”直线与三阶虚圆点曲线的相对位置,给出了各种平面三次曲线的产生方法。从而,从虚圆点曲线射影的角度,将平面三次曲线分为五类,它们分别与五种三阶虚圆点曲线相对应。
In this paper,problems of projectively transfering circular cubics to all kinds of plane cubiccurves are studied.Methods of obtaining every cubic curve are given by analysising the relativeposition of the“infinite”line with respect to the circular cubic.And then,plane cubic curves aredivided into five classes according to the transformation of the circular cubic curves.Each class iscorresponding to its correspondent respectively.
出处
《图学学报》
CSCD
1991年第2期41-47,共7页
Journal of Graphics
