利用重影理论的三视图构形多样性分析

Research on the Configuration Variety of Three Orthographic Views Based on Projection Overlapping

为了确保二维工程图样在实际工程应用中表达的唯一性,避免出现构形多样性,基于正投影法和重影点理论,提出了重影线和重影面的概念;从理论上分析了直线和平面投影的空间位置和形状的不确定性,进而研究三视图构形多样性的形成原因和视图特征,提出了工程设计中三视图构形多样性的解决方案。

Based on the orthographic projection and overlapping theory,the concept of overlapping line and werlapping plane were put forward,the uncertainty of 3D spatial position and shape of linear and plane projections were theoretically analyzed,the causes of configuration variety and the characteristics of three orthographic views were studied.In order to ensure the uniqueness of the expression of engineering drawings in practical engineering applications,the solutions to variety of three orthographic views in engineering design were put forward.