Topological matrices for topological relations between fuzzy regions

Xinming Tang; Yu Fang; Wolfgang Kainz

doi:10.1117/12.651396

2 December 2005 Topological matrices for topological relations between fuzzy regions

Xinming Tang, Yu Fang, Wolfgang Kainz

Proceedings Volume 6045, MIPPR 2005: Geospatial Information, Data Mining, and Applications; 604524 (2005) https://doi.org/10.1117/12.651396
Event: MIPPR 2005 SAR and Multispectral Image Processing, 2005, Wuhan, China

Abstract

Topological relations are one of the most important aspects in GIS modeling. The topological relations between crisp spatial objects have been well identified. However, the topological relations between fuzzy spatial objects need more investigation. This paper discusses different definitions in fuzzy boundary and their differences and relations. One of the definitions is then selected as the fuzzy boundary for GIS. In order to identify the topological relations between fuzzy spatial objects, three intersection matrices, namely 3*3-intersection matrix, 4*4-intersection matrix and 5*5-intersection matrix, are proposed and formalized in a fuzzy topological space. These matrices are all applicable for identification of topological relations between fuzzy spatial objects. 152 topological relations between two simple fuzzy regions are identified based on the 4×4-intersection approach in R².

Citation Download Citation

Xinming Tang, Yu Fang, and Wolfgang Kainz "Topological matrices for topological relations between fuzzy regions", Proc. SPIE 6045, MIPPR 2005: Geospatial Information, Data Mining, and Applications, 604524 (2 December 2005); https://doi.org/10.1117/12.651396

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