A new fuzzy clustering validity criterion and its application to color image segmentation

Author

Xie, Xuanli Lisa ; Beni, Gerardo

Author_Institution

Center for Robotic Syst., California Univ., Santa Barbara, CA, USA

fYear

1991

fDate

13-15 Aug 1991

Firstpage

463

Lastpage

468

Abstract

A new strategy for the determination of the degree of validity of a fuzzy partition is introduced. The strategy is mathematically justified via its relation to hard partition validity measures. The relationship between this fuzzy validity function and the most general, and well defined, hard clustering validity function (the separation index of J.C. Dunn (1974)) for which the condition of uniqueness has already been established is derived. Using this relationship, the existence of a unique fuzzy c-partition produced by the fuzzy validity function is also proved. Examples of applications to segmentation of color image for IC defects give encouraging results

Keywords

fuzzy set theory; pattern recognition; picture processing; color image segmentation; fuzzy clustering validity criterion; pattern recognition; picture processing; unique fuzzy c-partition; Clustering algorithms; Clustering methods; Color; Data engineering; Fuzzy sets; Gaussian distribution; Image segmentation; Organizing; Partitioning algorithms; Robots;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control, 1991., Proceedings of the 1991 IEEE International Symposium on

Conference_Location

Arlington, VA

ISSN

2158-9860

Print_ISBN

0-7803-0106-4

Type

conf

DOI

10.1109/ISIC.1991.187401

Filename

187401