Fuzzy description of topological relations II: computation methods and examples

Authors:
Shihong Du;Qiao Wang;Qiming Qin;Yipeng Yang
Affiliations:
Institute of Remote Sensing and GIS, Peking University, Beijing, China;College of Geographic Information Science, Nanjing Normal University, Nanjing, China;Institute of Remote Sensing and GIS, Peking University, Beijing, China;College of Geographic Information Science, Nanjing Normal University, Nanjing, China
Venue:
ICNC'05 Proceedings of the First international conference on Advances in Natural Computation - Volume Part III
Year:
2005

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Abstract

The unified fuzzy 9-intersection model of topological relations can describe the uncertainty of topological relations introduced by the uncertainty of spatial data. In this article, first, the raster algorithm for computing fuzzy 9-intersection model is presented, and the vector algorithms for computing fuzzy 9-intersection model of point/point, point/line, point/region, line/line, line/region, region/region topological relations are also provided. Second, based on the software developed by us, the examples for computing fuzzy 9-intersection matrix between two crisp objects, between two fuzzy objects and between a crisp object and a fuzzy object are listed. The results and analysis show that the unified fuzzy 9-intersection model is effective to describe the uncertainty of topological relations.