多维空间形体的计算机图示

Computer Graphics for a Body in Multi-dimensional Space

本文在研究多维空间结构的基础上,用矩阵方法表达多维画法几何中正投影及其投影变换过程,将多维几何理论与计算机绘图结合起来,从而使计算机绘制多维空间形体的多面正投影图、轴测投影图和透视投影图成为可能。

The difficulty in drawing a multi-dimensional graph manually has seriously hindered the progress in the research and application of multi-dimensional geometry for a long time. With the development of the computer science and the advent of computer graphics, the situation has improved.Based on the work on multi-dimensional space structure and with the matrix method of expressing the orthogonal projection and its transformation, several mathematical models for the automatic drawing of the multi-plane orthogonal projection, axonometric projection and perspective projection for a body in multidimensional space by computer have been developed. This makes possible the representation by computer for many practical problems with a variety of elements and variables.