Some shape definitions in fuzzy geometry of space

Authors:
B. B. Chaudhuri
Affiliations:
-
Venue:
Pattern Recognition Letters
Year:
1991

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Abstract

Fuzzy geometric shapes like point, line, circle, ellipse and polygon are defined on 2-D support space. The definitions are based on the level sets of a fuzzy set and it is easy to construct or recognize these fuzzy shapes from their definitions. Complementary shapes such as circular, elliptic and polygonal holes are also defined. A concept of concave fuzzy set is introduced in this connection.