波尔克定理与轴测投影过程的程序模拟

Pohlke-Schwarz Theorem and Computer Simulation of Axonometric Projection

从投影的基本概念出发,以波尔克.施瓦兹定理为计算依据,以CAD为图形支撑工具,可以实现轴测投影过程的程序模拟,自动创建各类轴测图,也包括所有基本视图和辅助视图。制图教学辅助软件ACAD Projector采用了对线、面、实体的灵活操控,精确重现投影基本规律框定的投影线、投影面、实体之间的空间关系,实现了各类轴测投影的创建与反求。这样一种处理方法为三维重建和投影技术研究提供了新的思路。

Based on the basic concept of projection, in accordance with the Pohlke-Schwarz theorem and with the support of CAD, the simulation of axonometric projection were achieved, including create all basic views and auxiliary views. ACAD Projector, an assistant software for teaching drawing, uses flexible control on lines, planes and entities to redisplay accurately the space relationship among the projection lines, projection planes and entities framed by the principle rules of projection and realize the creation and redrawing of various axonometrie projections. This kind of processing technology provides with new ideas on research of three-dimensional reconstruction and projection technology.