Two methods for image compression/reconstruction using OWA operators

H. Bustince, D. Paternain, B. De Baets, T. Calvo, J. Fodor, R. Mesiar, J. Montero, A. Pradera

Research output: Chapter in Book/Report/Conference proceedingChapter

7 Citations (Scopus)

Abstract

In this chapter we address image compression by means of two alternative algorithms. In the first algorithm, we associate to each image an interval-valued fuzzy relation, and we build an image which is n times smaller than the original one, by using two-dimensional OWA operators. The experimental results show that, in this case, best results are obtained with ME-OWA operators. In the second part of the work, we describe a reduction algorithm that replaces the image by several eigen fuzzy sets associated with it. We obtain these eigen fuzzy sets by means of an equation that relates the OWA operators we use and the relation (image) we consider. Finally, we present a reconstruction method based on an algorithm which minimizes a cost function, with this cost function built by means of two-dimensional OWA operators.

Original languageEnglish
Title of host publicationRecent Developments in the Ordered Weighted Averaging Operators
Subtitle of host publicationTheory and Practice
EditorsRonald R. Yager, Janusz Kacprzyk, Gleb Beliakov
Pages229-253
Number of pages25
DOIs
Publication statusPublished - Feb 28 2011

Publication series

NameStudies in Fuzziness and Soft Computing
Volume265
ISSN (Print)1434-9922

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Computational Mathematics

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    Bustince, H., Paternain, D., De Baets, B., Calvo, T., Fodor, J., Mesiar, R., Montero, J., & Pradera, A. (2011). Two methods for image compression/reconstruction using OWA operators. In R. R. Yager, J. Kacprzyk, & G. Beliakov (Eds.), Recent Developments in the Ordered Weighted Averaging Operators: Theory and Practice (pp. 229-253). (Studies in Fuzziness and Soft Computing; Vol. 265). https://doi.org/10.1007/978-3-642-17910-5_12