Authors: Moraga, Claudio
Stanković, Radomir 
Title: The Reed-Muller-Fourier Transform Applied to Pattern Analysis
Journal: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume: 10672 LNCS
First page: 254
Last page: 261
Conference: 16th International Conference on Computer Aided Systems Theory, EUROCAST 2017; Las Palmas de Gran Canaria; Spain; 19 February 2017 through 24 February 2017
Issue Date: 1-Jan-2018
Rank: M33
ISBN: 978-3-319-74726-2
ISSN: 0302-9743
DOI: 10.1007/978-3-319-74727-9_30
This paper introduces the analysis of pattern properties by means of the two-sided Reed-Muller-Fourier transform. Patterns are modelled as matrices of pixels and an integer coding for the colors is chosen. Work is done in the ring (Zp, ⊕, ·), where p> 2 is not necessarily a prime. It is shown that the transform preserves the (diagonal) symmetry of patterns, is compatible with different operations on patterns, and allows detecting and localizing noise pixels in a pattern. Finally, it is shown that there are patterns which are fixed points of the transform.
Publisher: Springer Link

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