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轴测投影的若干问题

  

  1. (上海交通大学计算机系,上海 200240)
  • 出版日期:2020-08-31 发布日期:2020-08-22

On axonometric projection

  1. (Department of Computer Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, China)
  • Online:2020-08-31 Published:2020-08-22

摘要: 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。

关键词: 图学, 平行投影体系, 轴测投影, 轴测图

Abstract: 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.

Key words: graphics, parallel projection system, axonometric projection, axonometric drawing