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Random sampling: new insights into the reconstruction of coarsely-sampled wavefields Hennenfent, Gilles; Herrmann, Felix J.

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.

Item Metadata

Title
Random sampling: new insights into the reconstruction of coarsely-sampled wavefields
Creator
Hennenfent, Gilles; Herrmann, Felix J.
Contributor
University of British Columbia. Seismic Laboratory for Imaging and Modeling
Publisher
Society of Exploration Geophysicists
Date Issued
2007
Description
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.
Extent
485921 bytes
Subject
Seismic; Denoising; Nyquist; Random sampling; Interpolation; Fourier
Genre
Conference Paper
Type
Text
File Format
application/pdf
Language
eng
Date Available
2008-03-10
Provider
Vancouver : University of British Columbia Library
Rights
All rights reserved
DOI
10.14288/1.0107409
URI
http://hdl.handle.net/2429/556
Affiliation
Science, Faculty of; Earth and Ocean Sciences, Department of
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.
Peer Review Status
Unreviewed
Scholarly Level
Graduate; Faculty
Copyright Holder
Herrmann, Felix J.
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