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Yunong Zhang, Anmin Zhang, Miao Gao and Yi Liang
Spatial relation models are the basis for realising three-dimensional spatial analysis. More researchers are now focusing on models that combine topological relations with distance or directional relations; however, a model that unifies all three relatio...
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Alexis Richard C. Claridades, Misun Kim and Jiyeong Lee
The unavailability and fragmentation of spatial data are challenges in creating realistic representations of objects and environments in the real world, especially indoors. Among the numerous methods for representing indoor space, the existing research h...
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Markus Wilhelm Jahn and Patrick Erik Bradley
In order to perform topological queries on geographic data, it is necessary to first develop a topological access method (TOAM). Using the fact that any (incidence or other binary) relation produces a topology which includes the common usage of topology ...
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Kaihua Hou, Chengqi Cheng, Bo Chen, Chi Zhang, Liesong He, Li Meng and Shuang Li
As the amount of collected spatial information (2D/3D) increases, the real-time processing of these massive data is among the urgent issues that need to be dealt with. Discretizing the physical earth into a digital gridded earth and assigning an integral...
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Kuan Liu, Haiyuan Liu, Dongyan Sun and Lei Zhang
The reconstruction of gene regulatory networks based on gene expression data can effectively uncover regulatory relationships between genes and provide a deeper understanding of biological control processes. Non-linear dependence is a common problem in t...
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Yuanjin Li, Tao Chen and Defu Liu
Artificial joint surface coating is a hot issue in the interdisciplinary fields of manufacturing, materials and biomedicine. Due to the complex surface characteristics of artificial joints, there are some problems with efficiency and precision in automat...
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Lida Kanari, Adélie Garin and Kathryn Hess
Methods of topological data analysis have been successfully applied in a wide range of fields to provide useful summaries of the structure of complex data sets in terms of topological descriptors, such as persistence diagrams. While there are many powerf...
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Peibing Song, Chao Wang, Wei Zhang, Weifeng Liu, Jiahui Sun, Xiaoying Wang, Xiaohui Lei and Hao Wang
Urban water resources are the basis for the formation and development of cities and the source of urban water supply. However, with the acceleration of urbanization and the explosion of urban populations, the contradiction between water supply and demand...
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Patrizio Angelini, Peter Eades, Seok-Hee Hong, Karsten Klein, Stephen Kobourov, Giuseppe Liotta, Alfredo Navarra and Alessandra Tappini
This paper introduces and studies the following beyond-planarity problem, which we call h-Clique2Path Planarity. Let G be a simple topological graph whose vertices are partitioned into subsets of size at most h, each inducing a clique. h-Clique2Path Plan...
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Mengyun Zhou and Qingfeng Guan
With the rapid development of the economy, urgent needs for 3-D Geographical Information System (GIS) have sprung up in many application fields. The precise expression of three-dimensional topological relations is the foundation of spatial analysis, topo...
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