A Spatial Access-Oriented Implementation of a 3-D GIS Topological Data Model for Urban Entities
3-D analysis in GIS is still one of the most challenging topics for research. With the goal being to model possible movement within the built environment, this paper, therefore, proposes a new approach to handling connectivity relationships among 3-D objects in urban environments in order to impleme...
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| Published in | GeoInformatica Vol. 8; no. 3; pp. 237 - 264 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Heidelberg
Springer
01.09.2004
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1384-6175 1573-7624 |
| DOI | 10.1023/B:GEIN.0000034820.93914.d0 |
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| Abstract | 3-D analysis in GIS is still one of the most challenging topics for research. With the goal being to model possible movement within the built environment, this paper, therefore, proposes a new approach to handling connectivity relationships among 3-D objects in urban environments in order to implement spatial access analyses in 3-D space. To achieve this goal, this paper introduces a 3-D network data model called the geometric network model (GNM), which has been developed by transforming the combinatorial data model (CDM), representing a connectivity relationship among 3-D objects using a dual graph. For the transformation, this paper presents (1) an O(n super(2)) algorithm for computing a straight medial axis transformation (MAT), (2) the processes for transforming phenomena from 3-D CDM to 3-D GNM, and (3) spatial access algorithms for the 3-D geometric network based upon the Dijkstra algorithm. Using the reconstructed geometric network generated from the transformations, spatial queries based upon the complex connectivity relationships between 3-D urban entities are implemented using Dijkstra algorithm. Finally, the paper presents the results of an experimental implementation of a 3-D network data model (GNM) using GIS data of an area in downtown Columbus, Ohio. |
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| AbstractList | 3-D analysis in GIS is still one of the most challenging topics for research. With the goal being to model possible movement within the built environment, this paper, therefore, proposes a new approach to handling connectivity relationships among 3-D objects in urban environments in order to implement spatial access analyses in 3-D space. To achieve this goal, this paper introduces a 3-D network data model called the geometric network model (GNM), which has been developed by transforming the combinatorial data model (CDM), representing a connectivity relationship among 3-D objects using a dual graph. For the transformation, this paper presents (1) an O(n super(2)) algorithm for computing a straight medial axis transformation (MAT), (2) the processes for transforming phenomena from 3-D CDM to 3-D GNM, and (3) spatial access algorithms for the 3-D geometric network based upon the Dijkstra algorithm. Using the reconstructed geometric network generated from the transformations, spatial queries based upon the complex connectivity relationships between 3-D urban entities are implemented using Dijkstra algorithm. Finally, the paper presents the results of an experimental implementation of a 3-D network data model (GNM) using GIS data of an area in downtown Columbus, Ohio. 3-D analysis in GIS is still one of the most challenging topics for research. With the goal being to model possible movement within the built environment, this paper, therefore, proposes a new approach to handling connectivity relationships among 3-D objects in urban environments in order to implement spatial access analyses in 3-D space. To achieve this goal, this paper introduces a 3-D network data model called the geometric network model (GNM), which has been developed by transforming the combinatorial data model (CDM), representing a connectivity relationship among 3-D objects using a dual graph. For the transformation, this paper presents (1) an O(n^sup 2^) algorithm for computing a straight medial axis transformation (MAT), (2) the processes for transforming phenomena from 3-D CDM to 3-D GNM, and (3) spatial access algorithms for the 3-D geometric network based upon the Dijkstra algorithm. Using the reconstructed geometric network generated from the transformations, spatial queries based upon the complex connectivity relationships between 3-D urban entities are implemented using Dijkstra algorithm. Finally, the paper presents the results of an experimental implementation of a 3-D network data model (GNM) using GIS data of an area in downtown Columbus, Ohio.[PUBLICATION ABSTRACT] |
| Author | Lee, Jiyeong |
| Author_xml | – sequence: 1 givenname: Jiyeong surname: Lee fullname: Lee, Jiyeong |
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| Keywords | spatial access topollgical data model algorithms models maps urban environment polygons topology geographic information systems cartography urban areas North America geometric networks 3-D GIS dual graph medial axis three-dimensional models transformations geometry spatial variations |
| Language | English |
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| Snippet | 3-D analysis in GIS is still one of the most challenging topics for research. With the goal being to model possible movement within the built environment, this... |
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| SubjectTerms | Algorithms Areal geology. Maps Built environment Combinatorial analysis Earth sciences Earth, ocean, space Exact sciences and technology Geologic maps, cartography Graphs Handling Materials handling Networks Queries Spatial analysis Studies Transformations Urban environments |
| Title | A Spatial Access-Oriented Implementation of a 3-D GIS Topological Data Model for Urban Entities |
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