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dc.contributor.authorBodmann, Bernhard G.
dc.contributor.authorKutyniok, Gitta
dc.contributor.authorZhuang, Xiaosheng
dc.description.abstractIn this paper, we introduce Gabor shearlets, a variant of shearlet systems, which are based on a different group representation than previous shearlet constructions: they combine elements from Gabor and wavelet frames in their construction. As a consequence, they can be implemented with standard filters from wavelet theory in combination with standard Gabor windows. Unlike the usual shearlets, the new construction can achieve a redundancy as close to one as desired. Our construction follows the general strategy for shearlets. First we define group-based Gabor shearlets and then modify them to a cone-adapted version. In combination with Meyer filters, the cone-adapted Gabor shearlets constitute a tight frame and provide low-redundancy sparse approximations of the common model class of anisotropic features which are cartoon-like functions.en
dc.subject.ddc510 Mathematiken
dc.subject.otherGabor shearletsen
dc.subject.othercartoon-like functionsen
dc.subject.othercone-adapted shearletsen
dc.subject.otherGabor framesen
dc.subject.otherorthonormal waveletsen
dc.subject.othersparse approximationen
dc.subject.othertight framesen
dc.titleGabor Shearletsen
dc.typeResearch Paperen
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2014, 18en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften » Inst. Mathematikde
tub.subject.msc200042C40 Waveletsen
tub.subject.msc200042C15 Series of general orthogonal functions, generalized Fourier expansions, nonorthogonal expansionsen
Appears in Collections:Technische Universität Berlin » Publications

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