Topology for 3D spatial objects
Topology is one of the mechanisms to describe relationships between spatial objects and thus the basics for many spatial operations. In this paper, we present models that are built on the topological properties of the spatial objects. They are usually called topological models and are considered by...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Faculty of Geoinformation Science and Engineering
2003
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| Subjects: | |
| Online Access: | http://eprints.utm.my/3109/ http://eprints.utm.my/3109/1/aliasfull1.pdf |
| _version_ | 1848890507440160768 |
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| author | Abdul Rahman, Alias Zlatanova, Siyka Shi, Wenzhong |
| author_facet | Abdul Rahman, Alias Zlatanova, Siyka Shi, Wenzhong |
| author_sort | Abdul Rahman, Alias |
| building | UTeM Institutional Repository |
| collection | Online Access |
| description | Topology is one of the mechanisms to describe relationships between spatial objects and thus the basics for many spatial operations. In this paper, we present models that are built on the topological properties of the spatial objects. They are usually called topological models and are considered by many the best suited for complex spatial analysis (i.e shortest path, line of view). There are a number of topological models that are utilized for 2D and 2.5D spatial objects by experimental and commercial software. However, when we move to the next dimension (i.e 3D), many difficulties are encountered in establishing the topology for the objects (consisting of points, lines, faces, and solids). This paper describes some existing topological models and a comparison between them is made. The advantages and disadvantages of the models and the recent experiments by the authors towards formalizing a 3D topology for 3D objects are discussed. The paper considers the models in object-oriented (OO) environment as well. Finally, we summarize the application of the 3D topological model, highlight the current approaches and the outlook of the works. |
| first_indexed | 2025-11-15T20:43:10Z |
| format | Article |
| id | utm-3109 |
| institution | Universiti Teknologi Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T20:43:10Z |
| publishDate | 2003 |
| publisher | Faculty of Geoinformation Science and Engineering |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | utm-31092011-06-02T09:12:34Z http://eprints.utm.my/3109/ Topology for 3D spatial objects Abdul Rahman, Alias Zlatanova, Siyka Shi, Wenzhong GA Mathematical geography. Cartography Topology is one of the mechanisms to describe relationships between spatial objects and thus the basics for many spatial operations. In this paper, we present models that are built on the topological properties of the spatial objects. They are usually called topological models and are considered by many the best suited for complex spatial analysis (i.e shortest path, line of view). There are a number of topological models that are utilized for 2D and 2.5D spatial objects by experimental and commercial software. However, when we move to the next dimension (i.e 3D), many difficulties are encountered in establishing the topology for the objects (consisting of points, lines, faces, and solids). This paper describes some existing topological models and a comparison between them is made. The advantages and disadvantages of the models and the recent experiments by the authors towards formalizing a 3D topology for 3D objects are discussed. The paper considers the models in object-oriented (OO) environment as well. Finally, we summarize the application of the 3D topological model, highlight the current approaches and the outlook of the works. Faculty of Geoinformation Science and Engineering 2003 Article PeerReviewed application/pdf en http://eprints.utm.my/3109/1/aliasfull1.pdf Abdul Rahman, Alias and Zlatanova, Siyka and Shi, Wenzhong (2003) Topology for 3D spatial objects. Geoinformation Science Journal, 3 (1). pp. 56-65. ISSN 1511 - 9491 |
| spellingShingle | GA Mathematical geography. Cartography Abdul Rahman, Alias Zlatanova, Siyka Shi, Wenzhong Topology for 3D spatial objects |
| title | Topology for 3D spatial objects |
| title_full | Topology for 3D spatial objects |
| title_fullStr | Topology for 3D spatial objects |
| title_full_unstemmed | Topology for 3D spatial objects |
| title_short | Topology for 3D spatial objects |
| title_sort | topology for 3d spatial objects |
| topic | GA Mathematical geography. Cartography |
| url | http://eprints.utm.my/3109/ http://eprints.utm.my/3109/1/aliasfull1.pdf |