航空学报 > 1997, Vol. 18 Issue (4): 432-438

非流形几何模型的拓扑表示——粘合边结构

武仲科, 戴国忠   

  1. 中国科学院软件研究所三部
  • 收稿日期:1996-08-26 修回日期:1996-11-13 出版日期:1997-08-25 发布日期:1997-08-25

REPRESENTATION OF NON MANIFOLD——THE IDENTIFICATION EDGE STRUCTURE

Wu Zhongke, Dai Guozhong   

  1. 3 rd Division, Institute of Software, Chinese Academy of Sciences,Beijing,100080
  • Received:1996-08-26 Revised:1996-11-13 Online:1997-08-25 Published:1997-08-25

摘要:

提出了一个非流形结构的表示方法——粘合边结构,其数学基础是代数拓扑中的复形理论。粘合边结构表示的拓扑元素之间的逻辑关系简洁、直观,并且可以表示物体的内部结构。

关键词: 计算机辅助设计, 实体造型, 非流形, 复形, 边界表示

Abstract:

An identification edge structure is put forward to represent non manifold modeling,which is built on the concepts and methods of the complex and CW complex in algebraic topology.The identification edge structure can represent the internal structure of an object and describes the relations of topological elements flexibly and concisely.

Key words: computer aided design, solid modeling, non manifold, complex, boundary representation

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