Title :
Image processing using ICA: a new perspective
Author :
Martín-Clemente, Rubén ; Hornillo-Mellado, Susana
Author_Institution :
Dpto. de Teoria de la Senal y Comunicaciones, Seville Univ.
Abstract :
Independent component analysis (ICA) provides a sparse representation of natural images in terms of a set of oriented bases. So far, the interest on this result lay on its apparent connection to the neural processing of the mammalian primary visual cortex. In this paper we provide an analysis from a formal (not physiological) point of view. We show that ICA of a natural image is equivalent to filtering the image using a high-pass filter, followed by a sampling. This result determines, on the one hand, the sparse distribution of the independent components and, on the other hand, that the image bases resemble "edges" of the original image. Some experiments are included to illustrate the theoretical conclusions
Keywords :
high-pass filters; image representation; image sampling; independent component analysis; ICA; high-pass filter; image filtering; image processing; image sampling; independent component analysis; mammalian primary visual cortex; natural images; neural processing; sparse representation; Eigenvalues and eigenfunctions; Filtering; Filters; Humans; Image processing; Image sampling; Independent component analysis; Multidimensional systems; Neurons; Visual system;
Conference_Titel :
Electrotechnical Conference, 2006. MELECON 2006. IEEE Mediterranean
Conference_Location :
Malaga
Print_ISBN :
1-4244-0087-2
DOI :
10.1109/MELCON.2006.1653148