STORING A 3D CITY MODEL, ITS LEVELS OF DETAIL AND THE CORRESPONDENCES BETWEEN OBJECTS AS A 4D COMBINATORIAL MAP

3D city models of the same region at multiple LODs are encumbered by the lack of links between corresponding objects across LODs. In practice, this causes inconsistency during updates and maintenance problems. A radical solution to this problem is to model the LOD of a model as a dimension in the ge...

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Main Authors: K. Arroyo Ohori, H. Ledoux, J. Stoter
Format: Article
Language:English
Published: Copernicus Publications 2015-10-01
Series:ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences
Online Access:http://www.isprs-ann-photogramm-remote-sens-spatial-inf-sci.net/II-2-W2/1/2015/isprsannals-II-2-W2-1-2015.pdf
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author K. Arroyo Ohori
H. Ledoux
J. Stoter
author_facet K. Arroyo Ohori
H. Ledoux
J. Stoter
author_sort K. Arroyo Ohori
collection DOAJ
description 3D city models of the same region at multiple LODs are encumbered by the lack of links between corresponding objects across LODs. In practice, this causes inconsistency during updates and maintenance problems. A radical solution to this problem is to model the LOD of a model as a dimension in the geometric sense, such that a set of connected polyhedra at a series of LODs is modelled as a single polychoron—the 4D analogue of a polyhedron. This approach is generally used only conceptually and then discarded at the implementation stage, losing many of its potential advantages in the process. This paper therefore shows that this approach can be instead directly realised using 4D combinatorial maps, making it possible to store all topological relationships between objects.
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spelling doaj.art-b7f5e671a66b4c7b872c748d7a12b0732022-12-22T00:56:37ZengCopernicus PublicationsISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences2194-90422194-90502015-10-01II-2-W21810.5194/isprsannals-II-2-W2-1-2015STORING A 3D CITY MODEL, ITS LEVELS OF DETAIL AND THE CORRESPONDENCES BETWEEN OBJECTS AS A 4D COMBINATORIAL MAPK. Arroyo Ohori0H. Ledoux1J. Stoter23D Geoinformation, Delft University of Technology, Delft, the Netherlands3D Geoinformation, Delft University of Technology, Delft, the Netherlands3D Geoinformation, Delft University of Technology, Delft, the Netherlands3D city models of the same region at multiple LODs are encumbered by the lack of links between corresponding objects across LODs. In practice, this causes inconsistency during updates and maintenance problems. A radical solution to this problem is to model the LOD of a model as a dimension in the geometric sense, such that a set of connected polyhedra at a series of LODs is modelled as a single polychoron—the 4D analogue of a polyhedron. This approach is generally used only conceptually and then discarded at the implementation stage, losing many of its potential advantages in the process. This paper therefore shows that this approach can be instead directly realised using 4D combinatorial maps, making it possible to store all topological relationships between objects.http://www.isprs-ann-photogramm-remote-sens-spatial-inf-sci.net/II-2-W2/1/2015/isprsannals-II-2-W2-1-2015.pdf
spellingShingle K. Arroyo Ohori
H. Ledoux
J. Stoter
STORING A 3D CITY MODEL, ITS LEVELS OF DETAIL AND THE CORRESPONDENCES BETWEEN OBJECTS AS A 4D COMBINATORIAL MAP
ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences
title STORING A 3D CITY MODEL, ITS LEVELS OF DETAIL AND THE CORRESPONDENCES BETWEEN OBJECTS AS A 4D COMBINATORIAL MAP
title_full STORING A 3D CITY MODEL, ITS LEVELS OF DETAIL AND THE CORRESPONDENCES BETWEEN OBJECTS AS A 4D COMBINATORIAL MAP
title_fullStr STORING A 3D CITY MODEL, ITS LEVELS OF DETAIL AND THE CORRESPONDENCES BETWEEN OBJECTS AS A 4D COMBINATORIAL MAP
title_full_unstemmed STORING A 3D CITY MODEL, ITS LEVELS OF DETAIL AND THE CORRESPONDENCES BETWEEN OBJECTS AS A 4D COMBINATORIAL MAP
title_short STORING A 3D CITY MODEL, ITS LEVELS OF DETAIL AND THE CORRESPONDENCES BETWEEN OBJECTS AS A 4D COMBINATORIAL MAP
title_sort storing a 3d city model its levels of detail and the correspondences between objects as a 4d combinatorial map
url http://www.isprs-ann-photogramm-remote-sens-spatial-inf-sci.net/II-2-W2/1/2015/isprsannals-II-2-W2-1-2015.pdf
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