用辅助平面法求解斜透视投影中直线的位置

The Solving of Line Position in Oblique Perspective Projection with the Use of Auxiliary Plane

在解决斜透视投影中的度量问题时，必定用到直线的定位的作图．为了使直线定位的作图更方便、简捷、迅速，更全面系统，利用直线及其在基面上的投影构成一个辅助平面．该辅助平面在物空间与基线处于平行、垂直和斜交三种位置．利用辅助平面的基面迹线和画面迹线包含直线的基面迹点和画面迹点的几何性质，对空间各种位置的直线在斜透视空间的定位问题进行了研究．得到了一种较为简捷、迅速的在斜透视空间中确定直线位置的作图方法．

Drawing design of line locaion must be used to solve length measure problem in obligue perspective projection In order to locate the line more conveniently, a auxiliary plane is constituted by utilizing the line and its projection in ground plane This auxiliary plane has three positions relative to groune line in space i.e., parallel, perpendicular, and oblique intersect. The ground tracing line of auxiliary plane contains the line's ground tracing point, and the picture tracing line of auxiliary plane contains the line's picture tracing point. With the help of these properties, the locating problem of the line in various in oblique perspective space is studied, and a more convenient drawing method is obtained to solve the line location in oblique perspective space.