Linear Stable Sampling Rate: Optimality of 2D Wavelet Reconstructions from Fourier Measurements
dc.contributor.author | Adcock, Ben | |
dc.contributor.author | Hansen, Anders C. | |
dc.contributor.author | Kutyniok, Gitta | |
dc.contributor.author | Ma, Jackie | |
dc.date.accessioned | 2021-12-17T10:12:10Z | |
dc.date.available | 2021-12-17T10:12:10Z | |
dc.date.issued | 2014-10-10 | |
dc.description.abstract | In 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.issn | 2197-8085 | |
dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15806 | |
dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14579 | |
dc.language.iso | en | en |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
dc.subject.ddc | 510 Mathematik | en |
dc.subject.other | inverse problems | en |
dc.subject.other | wavelets | en |
dc.subject.other | Fourier measurements | en |
dc.subject.other | sampling | en |
dc.subject.other | wavelet reconstructions | en |
dc.title | Linear Stable Sampling Rate: Optimality of 2D Wavelet Reconstructions from Fourier Measurements | en |
dc.type | Research Paper | en |
dc.type.version | submittedVersion | en |
tub.accessrights.dnb | free | en |
tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
tub.affiliation.institute | Inst. Mathematik | de |
tub.publisher.universityorinstitution | Technische Universität Berlin | en |
tub.series.issuenumber | 2014, 22 | en |
tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
tub.subject.msc2000 | 65J22 Inverse problems | en |
tub.subject.msc2000 | 65T60 Wavelets | en |
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