用于空间布局设计的矩阵运算

该文提出了用于３Ｄ空间布局设计的ＳＯＳＧ模型的矩阵表示及其运算。ＳＯＳＧ矩阵运算具有良好的性质，被有效地用于空间布局问题中的方位、尺寸计算。方位与尺寸计算是空间布局设计中的重要环节，在布局模型的生成、约束检查以及生成坐标图的过程中起着重要作用；并已成功地将该算法用于计算机结构布局设计。结果表明，对于可表示为图模型的工程问题。

This paper presents a matrix representation of the SOSG model. The matrix operations presented in this paper have good properties and can be used to calculate the direction and size in spatial layout design. The calculation of the direction and size is the important content in the spatial layout design. It plays an important role in the layout model generation, the constraint check and the transformation from the model to the coordinate graph. The algorithm presented in this paper has been successfully used in the computer structure layout design. The result of the research shows that the engineering problems which could be represented in graph models can be solved by introducing appropriate matrix operations.