Linear Stable Sampling Rate: Optimality of 2D Wavelet Reconstructions from Fourier Measurements

dc.contributor.authorAdcock, Ben
dc.contributor.authorHansen, Anders C.
dc.contributor.authorKutyniok, Gitta
dc.contributor.authorMa, Jackie
dc.date.accessioned2021-12-17T10:12:10Z
dc.date.available2021-12-17T10:12:10Z
dc.date.issued2014-10-10
dc.description.abstractIn this paper we analyze two-dimensional wavelet reconstructions from Fourier samples within the framework of generalized sampling. For this, we consider both separable compactly-supported wavelets and boundary wavelets. We prove that the number of samples that must be acquired to ensure a stable and accurate reconstruction scales linearly with the number of reconstructing wavelet functions. We also provide numerical experiments that corroborate our theoretical results.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15806
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14579
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherinverse problemsen
dc.subject.otherwaveletsen
dc.subject.otherFourier measurementsen
dc.subject.othersamplingen
dc.subject.otherwavelet reconstructionsen
dc.titleLinear Stable Sampling Rate: Optimality of 2D Wavelet Reconstructions from Fourier Measurementsen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2014, 22en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200065J22 Inverse problemsen
tub.subject.msc200065T60 Waveletsen

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