Tilings and patterns
Parts, wholes, and part-whole relations: the prospects of mereotopology
Data & Knowledge Engineering - Special issue on modeling parts and wholes
Toward a geometry of common sense: a semantics and a complete axiomatization of mereotopology
IJCAI'95 Proceedings of the 14th international joint conference on Artificial intelligence - Volume 1
Spatial Reasoning via Rough Sets
RSCTC '00 Revised Papers from the Second International Conference on Rough Sets and Current Trends in Computing
A linguistic ontology of space for natural language processing
Artificial Intelligence
A survey of recent results on spatial reasoning via rough inclusions
IMTCI'04 Proceedings of the Second international conference on Intelligent Media Technology for Communicative Intelligence
Applied Ontology
A New Approach to the Concepts of Boundary and Contact: Toward an Alternative to Mereotopology
Fundamenta Informaticae
Qualitative Spatial Representation and Reasoning: An Overview
Fundamenta Informaticae - Qualitative Spatial Reasoning
On Connection Synthesis via Rough Mereology
Fundamenta Informaticae - Qualitative Spatial Reasoning
Rough Mereology in Information Systems with Applications to Qualitative Spatial Reasoning
Fundamenta Informaticae
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In qualitative spatial reasoning, the last ten years have brought a lot of results on theories of spatial properties and relations taking regions of space as primitive entities. In particular, the axiomatization of mereotopologies has been extensively studied. However, properties of space such as divisibility, density and atomicity haven't attracted much attention in this context. Nevertheless, atomicity is especially important if one seeks to build a bridge between spatial reasoning and spatial databases approaches in areas like vision or GIS. In this paper we will investigate the possibility of characterizing such properties in spaces modeled by mereologies and mereotopologies. In addition, properties of atoms like extension and self-connectedness will be considered.