线面投影分析与计算机造型设计

Linear and plane perspective analysis and computer shape design

不同形状的物体 ,其二视图可能相同 ,即二视图不能唯一确定一个物体的形状。这就意味着 ,根据二视图 ,可想象出多个不同形状的物体。但是 ,想像是抽象的思维活动 ,很难把符合二视图的所有不同形状的物体全部想像出来。本文通过线面投影分析的逻辑推理可求出所有可能的第三视图 ,并且可以通过计算机完成其造型设计。

Variform subjects may have some two side view,and two side view can not determine the shape of a subject.It means,we can imagine variform subjects according to one two side view.However,imagination is abstract thinking,we can not imagine all kinds of subjects coincident with one two side view.This paper can establish all the possible the third view by means of logistic reasoning of linear and plane perspective analysis and get the subjects shape design through computer.