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Random sampling: new insights into the reconstruction of coarsely-sampled wavefields

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Title: Random sampling: new insights into the reconstruction of coarsely-sampled wavefields
Author: Hennenfent, Gilles; Herrmann, Felix J.
Subject Keywords seismic;denoising;Nyquist;random sampling;interpolation;Fourier
Issue Date: 2007
Publicly Available in cIRcle 2008-03-10
Publisher Society of Exploration Geophysicists
Citation: Hennenfent, Gilles, Herrmann, Felix J. 2007. Random sampling: new insights into the reconstruction of coarsely-sampled wavefields. SEG International Exposition and 77th Annual Meeting.
Abstract: In this paper, we turn the interpolation problem of coarsely-sampled data into a denoising problem. From this point of view, we illustrate the benefit of random sampling at sub-Nyquist rate over regular sampling at the same rate. We show that, using nonlinear sparsity promoting optimization, coarse random sampling may actually lead to significantly better wavefield reconstruction than equivalent regularly sampled data.
Affiliation: Earth and Ocean Sciences, Dept. of (EOS), Dept of
URI: http://hdl.handle.net/2429/556
Peer Review Status:

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