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一种含室内空间结构的建筑物3D LOD概念模型与生成方法
引用本文:史云飞,刘克辉,李向伟,聂庆微,吕春光,张玲玲,孙华生.一种含室内空间结构的建筑物3D LOD概念模型与生成方法[J].武汉大学学报(信息科学版),2022,47(4):561-569.
作者姓名:史云飞  刘克辉  李向伟  聂庆微  吕春光  张玲玲  孙华生
作者单位:1.河北省地质资源环境监测与保护重点实验室,河北 石家庄,050021
基金项目:河北省地质资源环境监测与保护重点实验室开放课题JCYKT201910自然资源部城市国土资源监测与仿真重点实验室开放基金KF-2018-03-034国家自然科学基金41601555山东省自然科学基金ZR2017BD018
摘    要:针对现有建筑物多细节层次(level of detail,LOD)表达主要面向外部,很少涉及内部空间的问题,提出一种含室内空间结构的建筑物三维LOD概念模型。该模型分为LOD0~LOD6 7个LOD,细节层次由建筑物的基底平面图、幢模型、无侧面楼层模型、楼层模型、户模型、房间模型到含门、窗等建筑语义的信息房间模型,空间细节逐次变细,丰富了建筑物室内空间LOD的表达理论。为构建这种LOD模型,提出基于胞腔复形链边界算子和上边界算子的LOD生成方法。该方法引入代数拓扑的胞腔、胞腔复形和复形链3个概念,利用胞腔和胞腔复形表达LOD,并在LOD6的基础上,利用边界算子和上边界算子生成其他粗空间粒度LOD模型,为三维城市模型建筑物LOD构建提供一种新方法。

关 键 词:建筑物模型    室内空间    细节层次    多尺度表达    胞腔复形    胞腔复形链
收稿时间:2020-03-16

A 3D LOD Conceptual Model of Building with Indoor Spatial Structure and Its Generating Method
Abstract:  Objectives  Aiming at solving the problem that the representation of level of detail (LOD) for existing buildings is mainly external and seldom involves the internal space objects, a conceptual model of three-dimensional (3D) LOD for buildings with interior space structure is proposed.  Methods  The conceptual model is divided into seven LOD levels: LOD0-LOD6, and the LOD consists of footprint, 3D box model, 3D floor model without sides, 3D floor model, 3D room model to 3D room model with semantic information such as doors and windows. The spatial details become gradually refined, which enriches the theory of LOD for building interior space. In order to create LOD models, a LOD generation method based on boundary operator and co-boundary operator of cell complex chain is proposed. The method introduces three concepts of cell, cell complex and complex chain from algebraic topology, and LOD is expressed by cell and cell complex. On the basis of LOD6, boundary operator and co-boundary operator are used to generate other LOD models with coarse spatial granularity.  Results  The research shows that the proposed LODs can meet the needs of outdoor and indoor multiple detail representation, and the boundary operator and the co-boundary operator can convert LOD6 into coarse LODs.  Conclusions  The research provides a new method to create 3D LOD of buildings with interior space structure for 3D city model.
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