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Sparse signal recovery in a transform domain

The ability to efficiently and sparsely represent seismic data is becoming an increasingly important problem in geophysics. Over the last thirty years many transforms such as wavelets, curvelets, contourlets, surfacelets, shearlets, and many other types of ‘x-lets’ have been developed. Such transform were leveraged to resolve this issue of sparse representations. In this work we compare the properties of four of these commonly used transforms, namely the shift-invariant wavelets, complex wavelets, curvelets and surfacelets. We also explore the performance of these transforms for the problem of recovering seismic wavefields from incomplete measurements. / Science, Faculty of / Mathematics, Department of / Graduate
Date11 1900
CreatorsLebed, Evgeniy
PublisherUniversity of British Columbia
Source SetsUniversity of British Columbia
Detected LanguageEnglish
TypeText, Thesis/Dissertation
Format1390514 bytes, application/pdf
RightsAttribution-NonCommercial-NoDerivatives 4.0 International,

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