Abstract
Whether or not a formal approach to spatial relations is a cognitively adequate (the term will be explicated in this paper) model of human spatial knowledge is more often based on the intuition of the researchers than on empirical data In contrast, the research reported here is concerned with an empirical assessment of one of the three general classes of spatial relations, namely topological knowledge. In the reported empirical investigation, subjects had to group numerous spatial configurations consisting of two circles with respect to their similarity. As is well known, such tasks are solved on the basis of underlying spatial concepts. The results were compared with the RCC-theory and Egenhofer's approach to topological relations and support the assumption that both theories are cognitively adequate in a number of important aspects.
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References
Allen, J. F. (1983). Maintaining knowledge about temporal intervals. Communications of the ACM, 26, 832–843.
Cohn, A. G. (1996). Calculi for Qualitative Spatial Reasoning. In J. Calmet, J. A. Campbell & J. Pfalzgraf (Eds.) Artificial Intelligence and Symbolic Mathematical Computation, LNCS 1138 (pp. 124–143). Berlin: Springer.
Egenhofer, M.J. (1991). Reasoning about binary topological relations. In O. Günther & H.J. Schek (Eds.), Proceedings of the Second Symposium on Large Scaled Spatial Databases (pp. 143–160). Berlin: Springer.
Egenhofer, M.J. & Franzosa, R. (1991). Point-set topological spatial relations. International Journal of Geographical Information Systems, 2, 133–152.
Egenhofer, M. J., Clementini, E. & Di Felice, P (1994). Topological relations between regions with holes. Int. Journal of Geographical Information Systems, 2, 129–144.
Egenhofer, M. J. & Herring, J. (1994). Categorizing topological spatial relations between point, line, and area objects. In M.J. Egenhofer, D.M. Mark, & J.R. Herring (Eds.), The 9-Intersection: Formalism and its use for natual language spatial predicates. Santa Barbara, CA: National Center for Geographic Information and Analysis.
Grigni, M., Papadias, D. & Papadimitriou, C. (1995). Topological Inference. In Proceeddings of the 14th Int. Joint Conf. of Artificial Intelligence (IJCAI).
Knauff, M. (1997). Räumliches Wissen und Geddchtnis. [Spatial knowledge and memory]. Wiesbaden: Deutscher Universitätsverlag.
Knauff, M., Rauh, R., & Schlieder, C. Preferred mental models in qualitative spatial reasoning: A cognitive assessment of Allen's calculus. In Proceedings of lite Seventeenth. Annual Conference of the Cognitive Science Society (pp. 200–205. Mahwah, NJ: Lawrence Erlbaum Associates.
Knauff, M. Rauh, R., Schlieder, C. & Strube, G. (in press). Analogizität und Perspektive in räumlichen mentalen Modellen [Analog representation and perspective in spatial mental models]. In C. Umbach, M. Grabski & R. Hömig (Eds.). Perspektive in Sprache und Raum. Wiesbaden: Deutscher Universitätsverlag.
Mark, D.M., Comas, D., Egenhofer, M.J., Freundschuh, S.M., Gould, M.D., & Nunes, J. (1995). Evaluation and refining computational models of spatial relations through cross-linguistic human-subjects testing. In A.U. Frank & W. Kuhn (Eds.), Spatial information theory (pp. 553–568). Berlin: Springer.
Randell, D.A., Cohn, A.G., & Cui, Z. (1992). Computing transitivity tables: A challenge for automated theory provers (Proceedings of the 11th CADE). Berlin: Springer.
Randell, D.A., Cui, Z., & Cohn, A.G. (1992). A spatial logic based and regions and connection. In B. Nebel, W. Swarthout, & C. Rich (Eds.), Proceedings of the third Conference on Principles of Knowledge Representation and Reasoning (pp. 165–176). Cambridge, MA: Morgan Kaufmann.
Rauh, R Schlieder, C. & Knauff, M. (1997). Präferierte mentale Modelle beim räumlich-relationalen Schließen: Empirie und kognitive Modellierung. [Preferred mental models in spatial relational inference: Empirical evidence and cognitive modeling.] Kognitionswissenschaft, 1, 21–34.
Renz, J. & Nebel, B. (1997). On the Complexity of Qualitative Spatial Reasoning: A Maximal Tractable Fragment of the Region Connection Calculus. In Proceedings of the 15th International Joint Conference ofArtificial Intelligence (IJCAI'97).
Strube, G. (1992). The role of cognitive science in knowledge engineering. In F. Schmalhofer, G. Strube, & T. Wetter (Eds.), Contemporary knowledge engineering and cognition (pp. 161–174). Berlin: Springer.
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Knauff, M., Rauh, R., Renz, J. (1997). A cognitive assessment of topological spatial relations: Results from an empirical investigation. In: Hirtle, S.C., Frank, A.U. (eds) Spatial Information Theory A Theoretical Basis for GIS. COSIT 1997. Lecture Notes in Computer Science, vol 1329. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63623-4_51
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DOI: https://doi.org/10.1007/3-540-63623-4_51
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