The non-Euclidean revolution
Artificial Intelligence
A comparison of methods for representing topological relationships
Information Sciences—Applications: An International Journal
The challenge of qualitative spatial reasoning
ACM Computing Surveys (CSUR)
Qualitative Representation of Spatial Knowledge
Qualitative Representation of Spatial Knowledge
Topological Invariants for Lines
IEEE Transactions on Knowledge and Data Engineering
DNIS '00 Proceedings of the International Workshop on Databases in Networked Information Systems
Mental representation and processing of geographic knowledge
Qualitative Spatial Representation and Reasoning: An Overview
Fundamenta Informaticae - Qualitative Spatial Reasoning
A model for describing and composing direction relations between overlapping and contained regions
Information Sciences: an International Journal
Syntactic segmentation of function graph type of curves
Machine Graphics & Vision International Journal
Spatial scene similarity assessment on Hadoop
Proceedings of the ACM SIGSPATIAL International Workshop on High Performance and Distributed Geographic Information Systems
Qualitative Spatial Representation and Reasoning: An Overview
Fundamenta Informaticae - Qualitative Spatial Reasoning
2D qualitative shape matching applied to ceramic mosaic assembly
Journal of Intelligent Manufacturing
Directional relations and frames of reference
Geoinformatica
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Qualitative models of spatial knowledge concern the description of both the shape of objects and their relative position in space. While there are contributions related to the latter aspect, small confidence is available for the former one. This paper aims to give a novel contribution in this direction. Qualitative models of shape should be seen as models able to represent commonsense knowledge of shape and not as a surrogate of quantitative models, which have a specific role in computer graphics and pattern recognition. Qualitative models are especially suitable for describing shapes in geographic space and build Geographical Information Systems that simulate the mental processes of human beings. The framework that we propose is structured in three dimensions (topological, projective, and metric properties of shape) that are shown to be necessary. Major emphasis is given to metric properties (elongation and symmetry) which have not received much attention till now.