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A topological enabled three-dimensional model based on constructive solid geometry and boundary representation

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Abstract

Ordinary triangular mesh model can be constructed from discrete point cloud. However, this kind of model contains large amount of data. It is not only difficult to split, but also lacks topological relation information. We proposed a CSG–BRep (Constructive Solid Geometry—Boundary Representation) topological model to overcome these problems. CSG–BRep model can record topological relationship of 3D model in great detail. We first introduced aspects of the topological model: location, orientation and sub-shape. Then we proposed two algorithms to access topological structure. We also proposed algorithms for performing Boolean operation on CSG–BRep models. Finally, we demonstrated CSG–BRep construction using LIDAR point cloud as a data source. We would show that, compared to ordinary triangular mesh model, CSG–BRep model is composable and can effectively reduce data volume. In addition, CSG–BRep model has detailed topological relation information, allowing further querying and analysis of 3D spatial topological information.

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Acknowledgments

This paper was supported by plan projects National Administration of Surveying,Mapping and Geoinformation of China (Grant No. 2013CH-15) and by the National Natural Science Foundation of China (Grant No. 41301429). Project also supported by the Special Scientific Research Fund of Surveying Public Welfare Profession of China (Grant No. 201512009), and by science and technology planning project of Beijing Municipal Education Commission (Grant No. 2016 subprojects49) and by Beijing Natural Science Foundation (No. 8142014).

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Authors and Affiliations

  1. Key Laboratory for Modern Urban Surveying and Mapping of National Administration of Surveying, Mapping and Geoinformation, Engineering Research Center of Representative Building and Architectural Heritage Database, The Ministry of Education, Beijing University of Civil Engineering and Architecture, No. 1, Zhanlanguan Road, Xicheng District, Beijing, 100044, P. R. China

    Huang Ming, Zhang Jianguang & Zhang Yong

  2. Atlas Informatics Corporation, No Academic Affiliation, 989 112th AVE NE, APT 1007, Bellevue, Washington, 98004, USA

    Du Yanzhu

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  1. Huang Ming
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  2. Du Yanzhu
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  3. Zhang Jianguang
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  4. Zhang Yong
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Correspondence to Huang Ming.

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Ming, H., Yanzhu, D., Jianguang, Z. et al. A topological enabled three-dimensional model based on constructive solid geometry and boundary representation. Cluster Comput 19, 2027–2037 (2016). https://doi.org/10.1007/s10586-016-0634-1

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