Modelling and Managing Topology in 3D Geoinformation Systems

Thomsen, Andreas; Breunig, Martin; Butwilowski, Edgar; Broscheit, Björn

doi:10.1007/978-3-540-72135-2_14

Cited by 7 publications

(7 citation statements)

References 8 publications

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“…In the following we review the significance of G-Maps for geomodeling (Mallet, 2002;Thomsen et al, 2008). (Lienhardt, 1991).…”

Section: Generalization Of the Simplicial Complex Approach For The Momentioning

confidence: 99%

“…Figure 4 -Representation of an oriented 3-G-Map as a graph with symmetries determined by the combinatorial character of the involutions. Source: (Thomsen et al, 2008) We require the cellular complexes to be orientable, and the corresponding G-Maps to be oriented. This implies that there are two classes of cell-tuples of the same cardinality, but carrying different polarity.…”

Section: Implementation Of G-mapsmentioning

confidence: 99%

“…Figure 5 -Representation of an oriented 3-G-Map as a relation with additional symmetry constraints determined by the combinatorial character of the involutions. Source: (Thomsen et al, 2008) Though this approach augments the numbers of objects to be handled, it simplifies needed operations and algorithms on the G-Maps.…”

Section: Implementation Of G-mapsmentioning

confidence: 99%

“…DB4GeO has already been tested to demonstrate several topological (Thomsen et al 2008), geospatial and spatiotemporal geo-applications (Breunig et al, 2016). Figure 6 reviews the current system architecture of DB4GeO.…”

Section: Review Of Db4geomentioning

confidence: 99%

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Application of 3d Spatio-Temporal Data Modeling, Management, and Analysis in Db4geo

Kuper

Breunig

Al-Doori

et al. 2016

ISPRS Ann. Photogramm. Remote Sens. Spatial Inf. Sci.

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ABSTRACT:Many of today´s world wide challenges such as climate change, water supply and transport systems in cities or movements of crowds need spatio-temporal data to be examined in detail. Thus the number of examinations in 3D space dealing with geospatial objects moving in space and time or even changing their shapes in time will rapidly increase in the future. Prominent spatio-temporal applications are subsurface reservoir modeling, water supply after seawater desalination and the development of transport systems in mega cities. All of these applications generate large spatio-temporal data sets. However, the modeling, management and analysis of 3D geo-objects with changing shape and attributes in time still is a challenge for geospatial database architectures. In this article we describe the application of concepts for the modeling, management and analysis of 2.5D and 3D spatial plus 1D temporal objects implemented in DB4GeO, our service-oriented geospatial database architecture. An example application with spatio-temporal data of a landfill, near the city of Osnabrück in Germany demonstrates the usage of the concepts. Finally, an outlook on our future research focusing on new applications with big data analysis in three spatial plus one temporal dimension in the United Arab Emirates, especially the Dubai area, is given.

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“…In the following we review the significance of G-Maps for geomodeling (Mallet, 2002;Thomsen et al, 2008). (Lienhardt, 1991).…”

Section: Generalization Of the Simplicial Complex Approach For The Momentioning

confidence: 99%

Section: Implementation Of G-mapsmentioning

confidence: 99%

Section: Implementation Of G-mapsmentioning

confidence: 99%

Section: Review Of Db4geomentioning

confidence: 99%

See 2 more Smart Citations

Application of 3d Spatio-Temporal Data Modeling, Management, and Analysis in Db4geo

Kuper

Breunig

Al-Doori

et al. 2016

ISPRS Ann. Photogramm. Remote Sens. Spatial Inf. Sci.

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“…Generally, the XLinks mechanism is sufficient for linking related objects which share surfaces. This is due to the nature of topological relations that can be indirectly represented via the attached references between the objects (Thomsen et al, 2008). Furthermore, the main purpose of 3D city modelling which is the visualisation of buildings does not necessitate a comprehensive topology (Arroyo Ohori et al, 2015a).…”

Section: Introductionmentioning

confidence: 99%

Cell Complexes Topological Links for Buildings in Citygml

Salleh

Ujang

Azri

et al. 2018

Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci.

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<p><strong>Abstract.</strong> Topology has served as the foundation for analysis in modelling cities and buildings. CityGML as an international standard for 3D city modelling utilises a simple ‘topology-incidence’ which links connected geometries by reference without the presence of a complete topological model to explicitly preserve the topological properties. This paper explains the use of cell complexes topological links for buildings in CityGML. Two datasets were used in this study which consisted of two connected buildings and two disjointed buildings. The geometries which make up the buildings were extracted as 0D nodes, 1D lines, 2D surfaces and 3D buildings. The resulting topological links generated are from a-0 links to a-3 links where a-0 links are lines that connect nodes (1D), a-1 links are connected lines that form surfaces (2D), a-2 links are connected surfaces that makes up a building (3D) and a-3 links represents connections between 3D buildings. The connected buildings started with a generated total of 57 a-0 links which decreased to 2 a-2 links where each building is represented by 1 a-2 link. A similar result was obtained for the disjointed buildings where ultimately the buildings were individually represented by an a-2 link. Besides that, a-3 links could be generated for the connected buildings which described that building 0 was connected to building 1 and vice versa. This shows that the cell complexes topological links is a simple yet compact way of preserving topological properties and facilitating navigation through the connected objects.</p>

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