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Main Title: Linear Stable Sampling Rate: Optimality of 2D Wavelet Reconstructions from Fourier Measurements
Author(s): Adcock, Ben
Hansen, Anders C.
Kutyniok, Gitta
Ma, Jackie
Type: Research Paper
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.
Subject(s): inverse problems
Fourier measurements
wavelet reconstructions
Issue Date: 10-Oct-2014
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 65J22 Inverse problems
65T60 Wavelets
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2014, 22
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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