Color image reduction by minimizing penalty functions

Paternain, Daniel, Jurio, Aranzazu and Beliakov, Gleb 2012, Color image reduction by minimizing penalty functions, in WCCI 2012 : Proceedings of the IEEE World Congress on Computational Intelligence, IEEE, Piscataway, N.J., pp. 205-211, doi: 10.1109/FUZZ-IEEE.2012.6250794.

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Title Color image reduction by minimizing penalty functions
Author(s) Paternain, Daniel
Jurio, Aranzazu
Beliakov, GlebORCID iD for Beliakov, Gleb
Conference name IEEE International Conference on Fuzzy Systems (2012 : Brisbane, Queensland)
Conference location Brisbane, Queensland
Conference dates 10-15 Jun. 2012
Title of proceedings WCCI 2012 : Proceedings of the IEEE World Congress on Computational Intelligence
Editor(s) [Unknown]
Publication date 2012
Conference series IEEE International Conference on Fuzzy Systems
Start page 205
End page 211
Total pages 7
Publisher IEEE
Place of publication Piscataway, N.J.
Keyword(s) Image reduction
penalty function
product lattice
Summary In image processing, particularly in image reduction, averaging aggregation functions play an important role. In this work we study the aggregation of color values (RGB) and we present an image reduction algorithm for RGB color images. For this purpose, we define and study aggregation functions and penalty functions in product lattices. We show how the arithmetic mean and the median can be obtained by minimizing specific penalty functions. Moreover, we study other penalty functions and we show that, in general, aggregation functions on product lattices do not coincide with the cartesian product of the corresponding aggregation functions. Finally, we make an experimental study where we test our reduction algorithm and we analyze the stability of the penalty functions in images affected by noise.
ISBN 9781467315050
Language eng
DOI 10.1109/FUZZ-IEEE.2012.6250794
Field of Research 080108 Neural, Evolutionary and Fuzzy Computation
Socio Economic Objective 970108 Expanding Knowledge in the Information and Computing Sciences
HERDC Research category E1 Full written paper - refereed
Copyright notice ©2012, IEEE
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