Language and Spatial Cognition
Language and Spatial Cognition
Mental Models in Spatial Reasoning
Spatial Cognition, An Interdisciplinary Approach to Representing and Processing Spatial Knowledge
Representational Levels for the Perception of the Courses of Motion
Spatial Cognition, An Interdisciplinary Approach to Representing and Processing Spatial Knowledge
Spatial Reasoning with Topological Information
Spatial Cognition, An Interdisciplinary Approach to Representing and Processing Spatial Knowledge
Abstract Structures in Spatial Cognition
Foundations of Computer Science: Potential - Theory - Cognition, to Wilfried Brauer on the occasion of his sixtieth birthday
An Axiomatic Approach to the Spatial Relations Underlying Left-Right and in Front of-Behind
KI '97 Proceedings of the 21st Annual German Conference on Artificial Intelligence: Advances in Artificial Intelligence
Propositional and Depictorial Representations of Spatial Knowledge: The Case of Path-Concepts
Proceedings of the International Symposium on Natural Language and Logic
Diagrams '00 Proceedings of the First International Conference on Theory and Application of Diagrams
The Influence of Linear Shapes on Solving Interval-Based Configuration Problems
Spatial Cognition II, Integrating Abstract Theories, Empirical Studies, Formal Methods, and Practical Applications
Lexical Specifications of Paths
Spatial Cognition II, Integrating Abstract Theories, Empirical Studies, Formal Methods, and Practical Applications
The House Is North of the River: Relative Localization of Extended Objects
COSIT 2001 Proceedings of the International Conference on Spatial Information Theory: Foundations of Geographic Information Science
An Algebraic Interpretation of Semantic Networks
COSIT '99 Proceedings of the International Conference on Spatial Information Theory: Cognitive and Computational Foundations of Geographic Information Science
Reasoning about Cardinal Directions Using Grids as Qualitative Geographic Coordinates
COSIT '99 Proceedings of the International Conference on Spatial Information Theory: Cognitive and Computational Foundations of Geographic Information Science
Towards a systematic understanding of graphical cues in communication through statistical graphs
Journal of Visual Languages and Computing
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This paper investigates geometric and ontological aspects of shape concepts underlying the semantics of nouns. Considering the German shape nouns Ecke and Knick (corner and kink) we offer a geometric framework to characterize substantial aspects of shape based on features of the object's boundary. Using the axiomatic method, we develop a geometric system, called 'planar shape geometry', enriching the basic inventory of ordering geometry by shape curves. The geometric characterization is not sufficient to decide which are the referents of the nouns Ecke and Knick among the entities involved in the spatial constellation. Different tests using the German topological prepositions in and an (in and at) are employed to bring forth this decision for the case of Ecke. Since these tests do not give uniform evidence in favor of one solution, we have to conclude that Ecke is flexible in selecting the referent and the characterizations discussed reflect its meaning spectrum.