配极变换在微机上生成二次曲面轮廓线的应用

本文根据配极变换的理论,建立二次曲面轮廓线的三维数学模型。然后利用投影变换的方法将空间轮廓线投影(中心投影或平行投影)到画面上,从而得到二次曲面轮廓线的投影图。以此理论、方法为基础,在微机IBM—PC/XT上,以Auto CAD为支持软件,用FORTRAN和Auto lisp语言编程,研制了生成二次曲面投影图的软件(PTGS-3D)。文中给出该软件的概述,并给出一些由它输出的二次曲面投影图。

Application of polarity Transformation for Automatically Draw Contour of Quadratic surface

In this paper, a three dimensional mathematical model of the contour ofquatratic surJace is set up according to the theory of polarity transfor-mation. Then through re-projection, points of space contour are projectedto projective plane, thus projective draft of coutour of quadratic surfaceare obtained. According tn the theory and method, a software(PTGS-3D) forautomaticall draw projective draft of contour of quadratic surface is deve-loped and it is based on CAD graphic packge. this paper describes itscharacteristics, total structure, data structure, and some projective drawingwhich are drawn by this software.