Abstract
Qualitative modelling of spatial relationships has often been considered as a contextindependent task that aims at a reasoning model in generic form. Despite the primary interest in these models, there is still a sufficiently large scope for context-dependent reasoning in space and time. This paper proposes a qualitative spatial reasoning model, oriented to the modelling and simulation of several cars acting in a multi-lane circuit, which can be considered as an illustrative example of a constrained frame of reference. The modelling objects of interest are individual cars whose cardinal relationships to external cars and actions are modelled. This dynamic system is analysed, and a set of interrelationships is identified at different levels of abstraction, together with inference rules that model the displacement of several cars in a circuit. The potential of this model is illustrated and calibrated using an agent-based prototype.
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References
Batty M, Jiang B, 2000. Multi-agent simulation: computational dynamics within GIS. In: Martin D, Atkinson P (eds.), Innovation in GIS VII: Geocomputation. Taylor & Francis, 55–71.
Burrough P A, Frank A U, 1995. Concepts and paradigms in spatial information: are current geographical information systems truly generic.Internationaljournal of Geographical Information Science, 9 (2): 101–116.
Casti J L, 1997. Would-be Worlds: How Simulation Is Changing the Frontiers of Science. John Wiley & Sons, Inc.
Clementini E, Di Felice P, Van Oosterom O, 1993. A small set of topological relationships suitable for end-user interaction. In: Abel D J, Ooi B C (eds.), Advances in Spatial Databases. Singapore: Springer-Verlag, 277–295.
Cremer M, Ludwig J, 1986. Mathematics and Computers in Simulation, 28, 297.
Edwards G, 1997. Geocognostics: a new framework for spatial information theory. In: Hirtle S, Frank A (eds.), COSIT’97, Springer-Verlag, LNCS 1329, Laurel Highlands, 455–471.
Egenhofer M, 1991. Reasoning about binary topological relations. In: Günther O, Schek H J (eds.), Advances in Spatial Databases. Berlin: Springer-Verlag, 143–160.
Egenhofer, Rodriguez, 1997. Image-schemata based spatial inferences: the container-surface algebra. In: Hirtle S, Frank A (eds.), COSIT’97, Springer-Verlag, LNCS 1329, Laurel Highlands, 35–52.
Fernyhough J, Cohn A G, Hogg D C, 1997. Event recognition using qualitative reasoning on automatically generated spatio-temporal models from visual input. In: Working Notes of IJCAI Workshop on Spatial and Temporal Reasoning.
Frank A U, 1998. Formal models for cognition: taxonomy of spatial location description and frames of reference. In: Freksa C, Habel C, Wender K F (eds.), Spatial Cognition: An Interdisciplinary Approach to Representing and Processing Spatial Knowledge. Springer-Verlag, LNCS 1404.
Freksa C, 1992. Using orientation information for qualitative spatial reasoning. In: Frank A U, Campari I, Formentini U (eds.), Theories and Methods of Spatio-Temporal Reasoning in Geographic Space. Springer-Verlag, LNCS 639, 162–178.
Freksa C, Röhrig R, 1993. Dimensions of qualitative spatial reasoning. In: N Piera Carret, Singh M G (eds.), Qualitative Reasoning and Decision Technologies (QUARDET’93). CIMNE, Barcelona, 483–492.
Freundschuh S M, Egenhofer M J, 1997. Human conceptions of spaces: implications for GIS.Transactions in GIS, 2 (4): 361–375.
Jackendoff R, 1996. The architecture of the linguistic-spatial interface. In: Bloom Pet al. (eds.), Language and Space, Cambridge, MA: MIT Press, 1–30.
Jiang B, 1999. SimPed: simulating pedestrian flows in a virtual urban environment.Journal of Geographic Information and Decision Analysis, 3 (1): 21–30.
Kettani D, Moulin B, 1999. A spatial model based on the notions of spatial conceptual map and of object’s influence areas. In: Freksa C, Mark D M (eds.), Spatial Information Theory: Cognitive and Computational Foundations of Geographic Information Science, Springer-Verlag, 401–416.
Kraub S, Nagel K, Wagner P, 1999. The Mechanism of Flow Breakdown in Traffic Flow Models, Technical Report, Santa Fe Institute.
Kuipers B, 1996. A hierarchy of qualitative representations for space. In: Working Papers of the 10th International Workshop on Qualitative Reasoning (QR-96), Fallen Leaf Lake, California.
Latombe J C, 1991. Robot Motion Planning. Kluwer Academics, Boston.
Mark D M, Frank A U, 1996. Experiential and formal models of geographic space.Environment and Planning, Series B, 23: 3–24.
Montello D R, Golledge R G, 1999. Scale and Detail in the Cognition of Geographic Information, Report of Specialist Meeting of Project Varenius, University of California, Santa Barbara, http://www.ncgia.org
Mujerkee A, 1998. Neat vs. scruffy: a survey of computational models for spatial expressions. In: Olivier P, Gapp K P (eds.), Computational Representation and Processing of Spatial Expressions, Kluwer Academics.
Nagel K, Wolf D, Wagner Pet al., 1997. Two-lane traffic rules for cellular automata: a systematic approach, LA-UR 97–4706 Technical Report, Los Alamos National Laboratory.
Pullar D, Egenhofer M J, 1988. Towards formal definitions of spatial relationships among spatial objects. In: Proceedings of the 3rd International Symposium on Spatial Data Handling, Sydney, IGU, 225–242.
Randell D A, Cui Z, Cohn A G, 1992. A spatial logic based on regions and connection. In: Proceedings of the 3rd International Conference on Knowledge Representation and Reasoning, Cambridge, Massachusetts, 165–176.
Resnick M, 1997. Turtles, Termites, and Traffic Jams. The MIT Press.
Simon P M, Nagel K, 1998. Simplified automaton model for city traffic.Physical Review E, 58(2): 1286–1296.
Tversky B, Taylor H A, Mainwering S, 1997. Langage et perspective spatiale. In: Langage et Cognition Spatiale, Denis M (eds.), Masson, Paris, 25–49.
von Neumann J, 1966. The Theory of Self-Reproducing Automata. University of Illinois Press.
Wiedemann R, 1997. Schriftenreihe Heft 8. Technical Report (Unpublished), Institute for Transportation Science, University of Karlsruhe, Germany.
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Claramunt, C., Jiang, B. A qualitative model for the simulation of traffic behaviours in a multi-lane environment. J. Geogr. Sci. 11 (Suppl 1), 29–42 (2001). https://doi.org/10.1007/BF02837442
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DOI: https://doi.org/10.1007/BF02837442