Approximation of topological relations on fuzzy regions: an approach using minimal bounding rectangles

Author

Somodevilla, Maria ; Petry, Frederick E.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Tulane Univ., New Orleans, LA, USA

fYear

2003

fDate

24-26 July 2003

Firstpage

371

Lastpage

376

Abstract

Topological relations among spatial objects with indeterminate boundaries constitute an active area in GIScience. This paper addresses the problem of fuzzy boundaries in particular in regions with smooth variation of their attributes. The work approach presented here allows us to model, in a more realistic way, geographic phenomena like air pollution and storm intensity. Broad fuzzy boundaries are represented as a set of the α-cuts nested around the minimum bounding rectangle enclosing the fuzzy region.

Keywords

fuzzy set theory; geographic information systems; spatial reasoning; visual databases; α-cut regions; GIScience; air pollution; fuzzy boundaries; fuzzy regions; indeterminate boundaries; minimal bounding rectangles; spatial fuzzy objects; storm intensity; topological relation approximation; Air pollution; Data models; Fuzzy set theory; Fuzzy sets; Geographic Information Systems; Image analysis; Image processing; Mathematical model; Solid modeling; Storms;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Information Processing Society, 2003. NAFIPS 2003. 22nd International Conference of the North American

Print_ISBN

0-7803-7918-7

Type

conf

DOI

10.1109/NAFIPS.2003.1226813

Filename

1226813