轴测投影的若干问题

On axonometric projection

重新审视了轴测投影定义的表述。轴测投影法是用平行投影的方法,沿投射方向将空间坐标系投射到投影面上得到轴测坐标系并进而在这个坐标系下表述空间形体,用这种方法得到的图纸叫轴测图。三视图用3个视图分别表示形体的3个方向(面),轴测图用一个视图同时表示三直三面角,其本质都是要表达出形体的3个方向(面),在平面上表述空间形体。讨论了轴测投影中的一些根本问题,包括平行投影体系、轴测三角形、轴测投影体系、轴测投影的基本要素和基本公式,剖析了正轴测投影和斜轴测投影之共性和不同,给出了其原理图。

The definition of axonometric projection was re-examined.Axonometric projection is a method by means of parallel projection,projecting the spatial coordinate system to the projection plane along the projection direction to obtain the axonometric coordinate system and express the spatial shape under this coordinate system.The resulting drawing is designated as axonometric drawing.Three views represent three directions of a body respectively,and the axonometric drawing represents three straight and three face angles with one view.The essence is to express the spatial body on the plane.This paper further discussed some fundamental problems in axonometric projection,such as the parallel projection system,axonometric triangle,axonometric projection system,the basic elements and formulas of axonometric projection,analyzed the similarities and differences between normal axonometric projection and oblique axonometric projection,and gave their schematic diagrams.