透视变换矩阵与三点透视

本文从建筑师画三点透视的实际情形出发，寻求矩阵变换法与建筑师画法之间的内在联系，提出了一种新的三点透视变换矩阵。对矩阵中各元素的赋值规律、计算方法及几何意义作了系统地研究讨论。从而解决了用矩阵变换法画三点透视图的变形及失控问题，使两种方法在相同的表现要求下所画三点透视图达到完全一致。

Perspective Matrix Transformation and Three-Point Perspective Drawing

This paper expounds the interrelations between matrix transformationmethod and architectual graphical method from the point of view of architecturaI three-point perspective drawing and presents a new three-point matrix transformation. Theauthor has made a systematic study on the value assignment rule for the relevant matrixelements, calculation method and geometric meaning and provided a resolution to pre-venting the three-point perspective drawing through matrix transformation from distor-tion and out-of-control. Thus the three-point perspective drawings are the same by thetwo methods under the same representation requirements.