Title :
Color image reduction by minimizing penalty functions
Author :
Paternain, Daniel ; Jurio, Aranzazu ; Beliakov, Gleb
Author_Institution :
Dept. de Autom. y Comput., Univ. Publica de Navarra, Pamplona, Spain
Abstract :
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.
Keywords :
image colour analysis; minimisation; RGB color images; aggregation functions; arithmetic mean; averaging aggregation functions; color image reduction; image processing; image reduction algorithm; penalty function minimization; penalty function stability; product lattices; Color; Image color analysis; Image reconstruction; Lattices; PSNR; Image reduction; Penalty function; Product lattice;
Conference_Titel :
Fuzzy Systems (FUZZ-IEEE), 2012 IEEE International Conference on
Conference_Location :
Brisbane, QLD
Print_ISBN :
978-1-4673-1507-4
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZ-IEEE.2012.6250794