A Cognitive Assessment of Topological Spatial Relations: Results from an Empirical Investigation

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.

[1]  Anthony G. Cohn,et al.  Calculi for Qualitative Spatial Reasoning , 1996, AISMC.

[2]  M. Knauff,et al.  Preferred mental models in qualitative spatial reasoning: A cognitive assessment of Allen's calculus , 1995 .

[3]  Markus Knauff,et al.  Räumliches Wissen und Gedächtnis , 1997 .

[4]  Max J. Egenhofer,et al.  Reasoning about Binary Topological Relations , 1991, SSD.

[5]  Dimitris Papadias,et al.  Topological Inference , 1995, IJCAI.

[6]  Anthony G. Cohn,et al.  A Spatial Logic based on Regions and Connection , 1992, KR.

[7]  David M. Mark,et al.  Evaluating and Refining Computational Models of Spatial Relations Through Cross-Linguistic Human-Subjects Testing , 1995, COSIT.

[8]  James F. Allen Maintaining knowledge about temporal intervals , 1983, CACM.

[9]  Anthony G. Cohn,et al.  Computing Transivity Tables: A Challenge For Automated Theorem Provers , 1992, CADE.

[10]  G. Strube,et al.  Analogizität und Perspektive in räumlichen mentalen Modellen , 1997 .

[11]  Gerhard Strube,et al.  The Role of Cognitive Science in Knowledge Engineering , 1991, Contemporary Knowledge Engineering and Cognition.

[12]  E. J.,et al.  Topological relations between regions with holes * , 1994 .

[13]  J. Pinto,et al.  NCGIA National Center for Geographic Information and Analysis Testing Technology Transfer Hypotheses in GIS Environments Using a Case Study Approach , 1998 .

[14]  Bernhard Nebel,et al.  On the Complexity of Qualitative Spatial Reasoning: A Maximal Tractable Fragment of the Region Connection Calculus , 1999, Artif. Intell..

[15]  Carla Umbach,et al.  Perspektive in Sprache und Raum , 1997 .

[16]  Thomas Wetter,et al.  Contemporary Knowledge Engineering and Cognition , 1992, Lecture Notes in Computer Science.

[17]  Christoph Schlieder,et al.  Präferierte mentale Modelle beim räumlich-relationalen Schließen: Empirie und kognitive Modellierung , 1996, Kognitionswissenschaft.