Abstract
AbstractIn this paper, we investigate the deficiency of Goyal and Egenhofer’s method for modeling cardinal directional relations between simple regions and provide the computational model based on the concept of mathematical morphology, which can be a complement and refinement of Goyal and Egenhofer’s model for crisp regions. Based on fuzzy set theory, we extend Goyal and Egenhofer’s model to handle fuzziness and provide a computational model based on alpha-morphology, which combines fuzzy set theory and mathematical morphology, to refine the fuzzy cardinal directional relations. Then the computational problems are investigated. We also give an example of spatial configuration in 2-dimensional discrete space. The experiment results confirm the cognitive plausibility of our computational models.KeywordsReference RegionSpatial ObjectMathematical MorphologyCardinal DirectionBasic Probability AssignmentThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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