Beliakov, Gleb, Bustince, Humberto, Fernandez, Javier and Paternain, Daniel 2010, Means on discrete product lattices, in ESTYLF 2010 : Proceedings of the XIII Spanish Conference on Technologies and Fuzzy Logic, Universidad de Huelva, Huelva, Spain, pp. 315-319.
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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. We also discuss which of them coincide with the Cartesian product of the standard mean and median.
Field of Research
080108 Neural, Evolutionary and Fuzzy Computation
Socio Economic Objective
970108 Expanding Knowledge in the Information and Computing Sciences