• DocumentCode
    1698378
  • Title

    On Periodic Patterns and their Spectra

  • Author

    Moraga, Claudio ; Stankovic, Radomir ; Astola, Jaakko

  • fYear
    2009
  • Firstpage
    179
  • Lastpage
    184
  • 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;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Multiple-Valued Logic, 2009. ISMVL '09. 39th International Symposium on
  • Conference_Location
    Naha, Okinawa
  • ISSN
    0195-623X
  • Print_ISBN
    978-1-4244-3841-9
  • Electronic_ISBN
    0195-623X
  • Type

    conf

  • DOI
    10.1109/ISMVL.2009.37
  • Filename
    5010396