Modeling and refining directional relations based on fuzzy mathematical morphology

Authors:
Haibin Sun;Wenhui Li
Affiliations:
Key Laboratory of Symbol Computation and Knowledge Engineering, of the Ministry of Education, College of Computer Science and Technology, Jilin University, Changchun, China;Key Laboratory of Symbol Computation and Knowledge Engineering, of the Ministry of Education, College of Computer Science and Technology, Jilin University, Changchun, China
Venue:
RSFDGrC'05 Proceedings of the 10th international conference on Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing - Volume Part I
Year:
2005

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Abstract

In 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.