二次曲线透射变换在工程图学中的应用

Application of conic perspective transformation in engineering plot

对于一般二次曲面(即椭圆面、椭圆抛物面、双曲面等)形体的截交线、相贯线,如采用辅助平面法作图,步骤繁琐而且不够精确。为了解决这一问题,文中在工程图学范围内应用透射变换的方法,使一般二次曲面变换成圆,从而达到了简化作图的目的。

For the intersecting lines between the general conicoids such as oval face, elliptic paraboloid and hyperboloid, the auxiliary plane mapping method is cumbersome and not precise. Here a perspective transformation, in the range of engineering plot, is applied to transform the eonicoid to circle so as to simplify the plotting mapping.