Image reduction using means on discrete product lattices

Beliakov, Gleb, Bustince, Humbeto and Paternain, Daniel 2012, Image reduction using means on discrete product lattices, IEEE transactions on image processing, vol. 21, no. 3, pp. 1070-1083.

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Title Image reduction using means on discrete product lattices
Author(s) Beliakov, Gleb
Bustince, Humbeto
Paternain, Daniel
Journal name IEEE transactions on image processing
Volume number 21
Issue number 3
Start page 1070
End page 1083
Total pages 14
Publisher IEEE
Place of publication Piscataway, N. J.
Publication date 2012-03
ISSN 1057-7149
1941-0042
Keyword(s) aggregation operators
image reduction
mean
median
penalty functions
Summary We investigate the problem of averaging values on lattices, and in particular on discrete product lattices. This problem arises in image processing when several color values given in RGB, HSL, or another coding scheme, need to be combined. We show how the arithmetic mean and the median can be constructed by minimizing appropriate penalties, and we discuss which of them coincide with the Cartesian product of the standard mean and median. We apply these functions in image processing. We present three algorithms for color image reduction based on minimizing penalty functions on discrete product lattices.
Language eng
Field of Research 080108 Neural, Evolutionary and Fuzzy Computation
Socio Economic Objective 970108 Expanding Knowledge in the Information and Computing Sciences
HERDC Research category C1 Refereed article in a scholarly journal
ERA Research output type C Journal article
Copyright notice ©2011, IEEE
Persistent URL http://hdl.handle.net/10536/DRO/DU:30040533

Document type: Journal Article
Collection: School of Information Technology
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