Image reduction using means on discrete product lattices
Fecha
2012Versión
Acceso abierto / Sarbide irekia
Tipo
Artículo / Artikulua
Versión
Versión aceptada / Onetsi den bertsioa
Impacto
|
10.1109/TIP.2011.2168412
Resumen
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 Car ...
[++]
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. [--]
Materias
Aggregation operators,
Penalty functions,
Image reduction,
Mean,
Median
Editor
IEEE
Publicado en
IEEE Transactions on Image Processing, vol. 21, n. 3, March 2012
Departamento
Universidad Pública de Navarra. Departamento de Automática y Computación /
Nafarroako Unibertsitate Publikoa. Automatika eta Konputazioa Saila
Versión del editor
Entidades Financiadoras
This work has been partially supported by research grant TIN2010-15055
from the Government of Spain.