| 顾及外拓扑的产权体构建及其3-组合图表达 |
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| 引用本文： | 史云飞,李德强,张玲玲,蔡振锋,张丕亚.顾及外拓扑的产权体构建及其3-组合图表达[J].武汉大学学报(信息科学版),2019,44(4):617-624. |
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| 作者姓名： | 史云飞 李德强 张玲玲 蔡振锋 张丕亚 |
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| 作者单位： | 1.国土资源部城市土地资源监测与仿真重点实验室, 广东 深圳, 518034 |
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| 基金项目： | 国土资源部城市土地资源监测与仿真重点实验室开放基金KF-2016-02-017国家自然科学基金41201407 |
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| 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。
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| 关 键 词： | 三维地籍 产权体 3-组合图 推拉 |
| 收稿时间： | 2018-01-27 |
Construction of Property Solids with Exterior Topology and Its Representation Using 3-Combinatorial Maps |
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| Affiliation: | 1.Key Laboratory of Urban Land Resources Monitoring and Simulation, Ministry of Land and Resources, Shenzhen 518034, China2.College of Resource and Environment, Linyi University, Linyi 276000, China3.Linyi Municipal Bureau or Land Resources, Linyi 276000, China4.College of Geomatics, Shandong University of Science and Technology, Qingdao 266590, China |
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| 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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