基于透视仿射变换研究画法几何中的截交线问题

Study the cross-section line problems in descriptive geometry based on perspective affinity transformation

摘要: 在画法几何中,求一般位置平面与立体表面的交线(截交线)往往作图麻烦,精度较差.为了解决这些问题,本文提出了透视仿射变换及其在解决截交线问题中的应用,并用实例表明了该方法具有作图简便,精度高的特点,是一种行之有效的方法.

Abstract: In descriptive geometry,it is always complex and with low precision to solve the cross-section line of a general plane and a solid surface.In order to solve these problems,this paper introduced a method of perspective affinity transformation and its application in solving cross-section line.It has been proved that the presented method is very simple and effective.