Cognitive grounding of formal models of qualitative spatial relations is important to bridge between spatial data and human perceptions of spatial arrangements. Here, we report on an experimental verification of the cognitive alignment of the recently proposed Ray Intersection Model (RIM) capturing qualitative relationships between three spatial objects, and human perceptions of spatial arrangements through a grouping task. Further, we explore arrangements with an object positioned "between" two other objects. We show that RIM has sufficient expressive power and aligns well with human perceptions of ternary spatial relationships.
@InProceedings{xu_et_al:LIPIcs.COSIT.2022.9, author = {Xu, Ningran and Majic, Ivan and Tomko, Martin}, title = {{Perceptions of Qualitative Spatial Arrangements of Three Objects}}, booktitle = {15th International Conference on Spatial Information Theory (COSIT 2022)}, pages = {9:1--9:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-257-0}, ISSN = {1868-8969}, year = {2022}, volume = {240}, editor = {Ishikawa, Toru and Fabrikant, Sara Irina and Winter, Stephan}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.COSIT.2022.9}, URN = {urn:nbn:de:0030-drops-168948}, doi = {10.4230/LIPIcs.COSIT.2022.9}, annote = {Keywords: Spatial Perception, Qualitative Spatial Relationships, Betweenness, Evaluation, Ternary Relationships} }
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