Authors: Moraga, Claudio
Stanković, Radomir 
Title: Properties of the Two-Sided RMF Spectrum of Matrices
Journal: Proceedings of The International Symposium on Multiple-Valued Logic
First page: 67
Last page: 72
Conference: 47th IEEE International Symposium on Multiple-Valued Logic, ISMVL 2017; Novi Sad; Serbia; 22 May 2017 through 24 May 2017
Issue Date: 30-Jun-2017
ISBN: 978-1-509-05495-4
ISSN: 0195-623X
DOI: 10.1109/ISMVL.2017.37
Abstract: 
The Reed-Muller-Fourier transform, defined in a q-valued domain, is applied to obtain two-sided spectra of classes of matrices, which may be interpreted as representing pixels of pictures or patterns. Operations on matrices, representing operations on pictures are considered, and their effect in the spectral domain is analyzed. It is shown that the transform is very effective to calculate the spectrum of mosaics and is sensitive to the existence and position of a pixel-noise. Moreover, there are some matrices which are fixed points of the transform.
Keywords: matrices as pictures | RMF transform | two-sided RMF spectrum
Publisher: IEEE

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