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多维空间形体的计算机图示
引用本文:雷远学,皮明智.多维空间形体的计算机图示[J].华中科技大学学报(自然科学版),1989(2).
作者姓名:雷远学  皮明智
作者单位:华中理工大学机械工程一系 (雷远学),华中理工大学机械工程一系(皮明智)
摘    要: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。

关 键 词:多维投影空间  矩阵  多面正投影图  轴测投影图  透视投影图

Computer Graphics for a Body in Multi-dimensional Space
Lei Yuanxue Pi Mingzhi.Computer Graphics for a Body in Multi-dimensional Space[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1989(2).
Authors:Lei Yuanxue Pi Mingzhi
Institution:Lei Yuanxue Pi Mingzhi
Abstract: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.
Keywords:Multi-dimensional projecting space  Matrix  Multi-plane orthogonal pro-jection drawing  Automatic drawing  Perspective drawing
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