Generation of navigation graphs for indoor space

International Journal of Geographical Information Science

Volumn 29, Issue 10, 2015, Pages 1737-1756

  Yang, Liping ^a   Worboys, Michael ^b  

^a University of Maine   (United States)

^b UNIVERSITY OF GREENWICH   (United Kingdom)

Author keywords

algorithm; combinatorial map; geometry; indoor space; navigation graph; semantics; topology

Indexed keywords

ALGORITHM; GEOMETRY; MAPPING; NAVIGATION; NUMERICAL MODEL; TOPOLOGY;

EID: 84941807248     PISSN: 13658816     EISSN: 13623087     Source Type: Journal    
DOI: 10.1080/13658816.2015.1041141     Document Type: Article

References (34)

1. I.Afyouni,, C.Ray,, and C.Claramunt,, 2012. Spatial models for context-aware indoor navigation systems: A survey. Journal of Spatial Information Science, (4), 85–123. doi:10.5311/JOSIS.2012.4.73
2. F.Aurenhammer,, 1991. Voronoi diagramsa survey of a fundamental geometric data structure. ACM Computing Surveys (CSUR), 23 (3), 345–405. doi:10.1145/116873.116880
3. T.Becker,, C.Nagel,, and T.H.Kolbe,, 2009. A multilayered space-event model for navigation in indoor spaces. In: J. Lee and S. Zlatanova, eds. 3D geo-information sciences. Berlin: Springer, 61–77.
4. P.Boguslawski,, C.M.Gold,, and H.Ledoux,, 2011. Modelling and analysing 3D buildings with a primal/dual data structure. ISPRS Journal of Photogrammetry and Remote Sensing, 66 (2), 188–197. doi:10.1016/j.isprsjprs.2010.11.003
5. I.Borovikov,, 2011. Navigation graph generation [online]. Available from: http://www.gamedev.net/page/resources/_/technical/artificial-intelligence/navigation-graph-generation-r2805 [Accessed 2Jun 2014].
6. H.Choset, and J.Burdick,, 2000. Sensor-based exploration: the hierarchical generalized Voronoi graph. The International Journal of Robotics Research, 19 (2), 96–125. doi:10.1177/02783640022066770
7. H.M.Choset,, 2005. Principles of robot motion: theory, algorithms, and implementation. Cambridge: MIT Press.
8. D.Demyen, and M.Buro,, 2006. Efficient triangulation-based pathfinding. Aaai, 6, 942–947.
9. J.Edmonds,, 1960. A combinatorial representation of polyhedral surfaces. Notices of the American Mathematical Society, 7, 646.
10. S.Fortune,, 1992. Voronoi diagrams and Delaunay triangulations. Computing in Euclidean Geometry, 1, 193–233.
11. G.Franz,, et al., 2005. Graph-based models of space in architecture and cognitive science-a comparative analysis. In: Proceedings of the 17th International Conference on Systems Research, Informatics and Cybernetics, 30–38.
12. J.J.Gibson,, 1986. The ecological approach to visual perception. Abingdon: Psychology Press.
13. J.-H.Haunert, and M.Sester,, 2008. Area collapse and road centerlines based on straight skeletons. GeoInformatica, 12 (2), 169–191. doi:10.1007/s10707-007-0028-x
14. C.S.Jensen,, H.Lu,, and B.Yang,, 2009. Graph model based indoor tracking. In: Mobile Data Management: Systems, Services and Middleware, 2009. MDM’09. Tenth International Conference on, 122–131.
15. A.Kneidl,, A.Borrmann,, and D.Hartmann,, 2012. Generation and use of sparse navigation graphs for microscopic pedestrian simulation models. Advanced Engineering Informatics, 26 (4), 669–680. doi:10.1016/j.aei.2012.03.006
16. D.Lee,, 1983. Visibility of a simple polygon. Computer Vision, Graphics, and Image Processing, 22 (2), 207–221. doi:10.1016/0734-189X(83)90065-8
17. D.T.Lee, and F.P.Preparata,, 1979. An optimal algorithm for finding the kernel of a polygon. Journal of the ACM (JACM), 26 (3), 415–421. doi:10.1145/322139.322142
18. J.Lee,, 2004. A spatial access-oriented implementation of a 3-D GIS topological data model for urban entities. GeoInformatica, 8 (3), 237–264. doi:10.1023/B:GEIN.0000034820.93914.d0
19. J.Lee,, 2007. A three-dimensional navigable data model to support emergency response in microspatial built-environments. Annals of the Association of American Geographers, 97 (3), 512–529. doi:10.1111/j.1467-8306.2007.00561.x
20. J.Lee, and M.-P.Kwan,, 2005. A combinatorial data model for representing topological relations among 3D geographical features in micro-spatial environments. International Journal of Geographical Information Science, 19 (10), 1039–1056. doi:10.1080/13658810500399043
21. F.Mortari,, et al., 2014. ‘‘Improved geometric network model” (IGNM): A novel approach for deriving connectivity graphs for indoor navigation. In: ISPRS Technical Commission IV Symposium, ISPRS Annals-volume II-4, Suzhou, China, 14–16May 2014. doi:10.5194/isprsannals-II-4-45-2014
22. C.Nagel,, et al., 2010. Requirements and space-event modeling for indoor navigation. OpenGIS® Discussion paper (OGC 10-191r1), Open Geospatial Consortium, OGC.
23. E.P.Stoffel,, B.Lorenz,, and H.J.Ohlbach,, 2007. Towards a semantic spatial model for pedestrian indoor navigation. In: J.-L. Hainaut et al., eds. Advances in conceptual modeling–foundations and applications. Berlin: Springer, 328–337.
24. E.P.Stoffel,, K.Schoder,, and H.J.Ohlbach,, 2008. Applying hierarchical graphs to pedestrian indoor navigation. In: Proceedings of the 16th ACM SIGSPATIAL international conference on Advances in geographic information systems, p. 54.
25. W.T.Tutte,, 1973. What is a map. In: New directions in the theory of graphs. New York: Academic Press, 309–325.
26. B.Tversky, and P.U.Lee,, 1999. Pictorial and verbal tools for conveying routes. In: C. Freksa and D. Mark, eds. Spatial information theory. Cognitive and computational foundations of geographic information science. Berlin: Springer, 51–64.
27. J.O.Wallgrün,, 2005. Autonomous construction of hierarchical voronoi-based route graph representations. In: C. Freksa et al., eds. Spatial cognition IV. Reasoning, action, interaction. Berlin: Springer, 413–433.
28. J.O.Wallgrün,, 2010. Qualitative spatial reasoning for topological map learning. Spatial Cognition & Computation, 10 (4), 207–246. doi:10.1080/13875860903540906
29. M.Worboys,, 2011. Modeling indoor space. In: L. Kulik, R. Güting, and H. Lu, eds. Proceedings of the 3rd ACM SIGSPATIAL international workshop on indoor spatial awareness. New York: ACM, 1–6.
30. M.Worboys,, 2012. The maptree: A fine-grained formal representation of space. In: N. Xiao et al., eds. Geographic information science. Berlin: Springer, 298–310.
31. M.Worboys,, 2013. Using maptrees to characterize topological change. In: T. Tenbrink et al., eds. Spatial information theory. Cham: Springer, 74–90.
32. M.F.Worboys, and M.Duckham,, 2004. GIS: a computing perspective. Boca Raton, FL: CRC Press.
33. L.Yang, and M.Worboys,, 2011a. A navigation ontology for outdoor-indoor space. In: Proceedings of the 3rd ACM SIGSPATIAL international workshop on indoor spatial awareness, 31–34.
34. L.Yang, and M.Worboys,, 2011b. Similarities and differences between outdoor and indoor space from the perspective of navigation. Poster presented at COSIT.