顾及外拓扑的产权体构建及其3-组合图表达

Construction of Property Solids with Exterior Topology and Its Representation Using 3-Combinatorial Maps

  • 摘要: 为构建和表达顾及外拓扑的产权体,以现有楼层平面图为基础,采用"推拉"二维图形的方式生成产权体三维模型,并使用3-组合图表达产权体的内拓扑与外拓扑,提出基于带权关联图与关联矩阵的"推拉"间隔传递方法,基于老新间隔对照关系的组合图飞镖生成方法以及组合图β关系的添加算法。通过"推拉"平面图的方式可以生成产权体三维模型;3-组合图可以表达产权体的内拓扑和外拓扑,并能提高构体效率。

     

    Abstract: In order to generate and represent property solids with exterior topology. Based on the existing floor-plans, this paper proposes a method to adopt the way of extruding floor-plans to create 3D models of property solids, and to use 3-combinatorial maps to represent interior and exterior topology of property solids. The results are as follows:(1) A delivery method of intervals is proposed based on incidence graphs with weight and incidence matrix. (2) According to the comparison relationship between old and new intervals, a method for generating darts of 3-combinatorial maps is proposed. (3) An algorithm for adding β relations of 3-combinatorial maps is proposed. Research conclusions show that property solids can be created by extrusion and 3-combinatorial maps, and represent interior and exterior topology of property solids and improve efficiency of constructing property solids.

     

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