| 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 | Abstract: | 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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