一种生成卵形曲线的方法  

A Means of Generating Oval Curve

作　　者：宋业存[1] 祝燕琴[1] 

机构地区：[1]江苏技术师范学院,江苏常州213001

出　　处：《工程图学学报》2006年第1期160-163,共4页Journal of Engineering Graphics

摘　　要：利用几何变换的方法解决了卵形曲线的生成问题。以椭圆作为变换的初始曲线,按照所给条件对其使行变换。讨论了该曲线的形成过程,创建了相应的数学方程。分析了方程中各参数的意义及所表达的曲线的特性,并根据所建的数学方程进行编程、验证,结果表明,所绘出的图形与分析完全吻合。In order to solve the problem of generating oval curve, a study is made through the use of geometric transformation. Ellipse is used as the initial curve of the transformation that is made according to some given conditions. A means of generating oval curve has been worked out in this paper, and its forming process is also discussed, besides, a corresponding mathematical equation is created. The meanings of each parameter and the features of the curve in the equation are analyzed in great detail. Programming and verification are done based on the created mathematical equation. The results show that the drawing tallies well with the analysis.

关 键 词：工程图学 卵形曲线的生成 几何变换 特性分析 

分 类 号：O187[理学—数学]