{"title":"On Periodic Patterns and their Spectra","authors":"C. Moraga, R. Stankovic, J. Astola","doi":"10.1109/ISMVL.2009.37","DOIUrl":null,"url":null,"abstract":"Two-sided spectra of patterns based on classes of orthogonal matrices are introduced and their main properties discussed. In particular, the “mosaicness” 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.","PeriodicalId":115178,"journal":{"name":"2009 39th International Symposium on Multiple-Valued Logic","volume":"30 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 39th International Symposium on Multiple-Valued Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2009.37","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
Two-sided spectra of patterns based on classes of orthogonal matrices are introduced and their main properties discussed. In particular, the “mosaicness” 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.
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