Title :
On Periodic Patterns and their Spectra
Author :
Moraga, Claudio ; Stankovic, Radomir ; Astola, Jaakko
Abstract :
Two-sided spectra of patterns based on classes of orthogonal matrices are introduced and their main properties discussed. In particular, the ldquomosaicnessrdquo of patterns is studied. It is shown that this property of patterns may easily be recognized in the spectral domain, albeit the mosaic structure cannot be unambiguously determined. 2D-Dirichlet kernels based on non-Abelian groups can however be used for a more efficicient analysis of mosaics.
Keywords :
Fourier transforms; matrix algebra; pattern recognition; signal processing; spectral analysis; 2D-Dirichlet kernel; Fourier transform; nonAbelian group; orthogonal matrix; pattern recognition; signal processing; spectral analysis; Computer science; Discrete transforms; Fourier transforms; Kernel; Logic design; Pattern analysis; Pattern recognition; Sampling methods; Signal processing; Spectral analysis; 2D-Spectra; Periodicity; pattern processing;
Conference_Titel :
Multiple-Valued Logic, 2009. ISMVL '09. 39th International Symposium on
Conference_Location :
Naha, Okinawa
Print_ISBN :
978-1-4244-3841-9
Electronic_ISBN :
0195-623X
DOI :
10.1109/ISMVL.2009.37
