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doi:10.1016/j.ijar.2005.06.011 
Copyright © 2005 Elsevier Inc. All rights reserved.
Spatial reasoning under imprecision using fuzzy set theory, formal logics and mathematical morphology
Received 1 January 2004;
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Abstract
In spatial reasoning, in particular for applications in image understanding, structure recognition and computer vision, a lot of attention has to be paid to spatial relationships and to the imprecision attached to information and knowledge to be handled. Two main components are knowledge representation and reasoning. We show in this paper that the fuzzy set framework associated to the formalism provided by mathematical morphology and formal logics allows us to derive appropriate representations and reasoning tools.
Keywords: Spatial reasoning; Imprecision; Spatial relationships; Fuzzy sets; Fuzzy mathematical morphology; Morpho-logics; Fusion; Decision making; Image interpretation; Model-based recognition
