Spatial reasoning under imprecision using fuzzy set theory, formal logics and mathematical morphology
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 its to derive appropriate representations and reasoning tools. (C) 2005 Elsevier Inc. All rights reserved.
spatial reasoning imprecision fuzzy sets spatial relationships fuzzy mathematical morphology morpho-logics fusion decision making image interpretation model-based recognition