On 3D topological relationships

被引：37
|
作者：
Zlatanova, S [1 ]
机构：
[1] Tech Univ Delft, Dept Geodesy, Sect GIS Technol, NL-2629 JA Delft, Netherlands
来源：
11TH INTERNATIONAL WORKSHOP ON DATABASE AND EXPERT SYSTEMS APPLICATION, PROCEEDINGS | 2000年
关键词：
D O I：
10.1109/DEXA.2000.875135
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper presents an integrated study on possible topological relationship between multidimensional simple objects in 0,1,2 and 3D space. The formal categorisation of spatial relationships is completed upon the 9-intersections model. The focus is on the definition of a unified set of conditions for eliminating relationships that cannot be realised in reality. The negative conditions are formulated on the basis of dimension and co-dimension of objects, and connectivity of boundaries. The set of 25 conditions is sufficient for deriving all the possible relationships mentioned currently in the literature and for specifying the relationships between surface and surface in 3D space. Drawings of example configurations verify, the obtained results in 3D space.
引用
收藏
页码：913 / 919
页数：7
相关论文
共 50 条
  • [1] 3D Viewpoint Optimization of Topological Relationships: Application to 3D Cadastre for Visual Easement Validation
    Neuville, R.
    Pouliot, J.
    Billen, R.
    [J]. ISPRS TC IV 3RD BIM/GIS INTEGRATION WORKSHOP AND 15TH 3D GEOINFO CONFERENCE 2020, 2020, 6-4 (W1): : 135 - 142
  • [2] The Research on the Reasoning Model of Combining Directional and Topological Relationships in 3D Space
    Gu Weijie
    Liu Yongshan
    [J]. INFORMATION TECHNOLOGY FOR MANUFACTURING SYSTEMS II, PTS 1-3, 2011, 58-60 : 256 - 261
  • [3] 3D topological relationships of landforms and their spatial schema-based representation
    Loewner, Marc-O
    [J]. GEO-SPATIAL INFORMATION SCIENCE, 2013, 16 (04) : 238 - 246
  • [4] 3D Topological modeling and visualisation for 3D GIS
    de la Losa, A
    Cervelle, B
    [J]. COMPUTERS & GRAPHICS-UK, 1999, 23 (04): : 469 - 478
  • [5] 3D Topological Relations for 3D Spatial Analysis
    Zuliansyah, Mochammad
    Supangkat, Suhono Harso
    Priyana, Yoga
    Machbub, Carmadi
    [J]. 2008 IEEE CONFERENCE ON CYBERNETICS AND INTELLIGENT SYSTEMS, VOLS 1 AND 2, 2008, : 1203 - 1208
  • [6] Topological Relationships Calculation for 3D Curves Data Set Based on Monotone Chains
    Shen, Jingwei
    Wu, Mingguang
    Lv, Guonian
    Wen, Yongning
    Wang, Xiao
    Zhang, Hongping
    [J]. 2010 18TH INTERNATIONAL CONFERENCE ON GEOINFORMATICS, 2010,
  • [7] Validating a 3D topological structure of a 3D space partition
    Brugman, Bregje
    Tijssen, Theo
    van Oosterom, Peter
    [J]. ADVANCING GEOINFORMATION SCIENCE FOR A CHANGING WORLD, 2011, 1 : 359 - 378
  • [8] Realizing 3D topological solitons
    Rachel Won
    [J]. Nature Photonics, 2017, 11 : 273 - 273
  • [9] 3D topological quantum computing
    Asselmeyer-Maluga, Torsten
    [J]. INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2021, 19 (04)
  • [10] DESIGN OF 3D TOPOLOGICAL DATA STRUCTURE FOR 3D CADASTRE OBJECTS
    Zulkifli, Nur Amalina
    Rahman, Alias Abdul
    Hassan, Muhammad Imzan
    [J]. INTERNATIONAL CONFERENCE ON GEOMATIC AND GEOSPATIAL TECHNOLOGY (GGT) 2016, 2016, 42-4 (W1): : 325 - 327
12345