A fuzzy hybrid method for image decomposition problem

Authors:
Ferdinando Di Martino;Vincenzo Loia;Salvatore Sessa
Affiliations:
Università degli Studi di Salerno, Dipartimento di Matematica e Informatica, Fisciano, Salerno, Italy and Università degli Studi di Napoli Federico II, Dipartimento di Costruzioni e Meto ...;Università degli Studi di Salerno, Dipartimento di Matematica e Informatica, Fisciano, Salerno, Italy;Università degli Studi di Napoli Federico II, Dipartimento di Costruzioni e Metodi Matematici in Architettura, Napoli, Italy
Venue:
Evo'08 Proceedings of the 2008 conference on Applications of evolutionary computing
Year:
2008

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Abstract

We use an hybrid approach based on a genetic algorithm and on the gradient descent method in order to decompose an image. In the pre-processing phase the genetic algorithm is used for finding two suitable initial families of fuzzy sets that decompose R in accordance to the well known concept of Schein rank. These fuzzy sets are successively used in the descent gradient algorithm which determines the final fuzzy sets, useful for the reconstruction of the image. The experiments are executed on some images extracted from the the SIDBA standard image database.