Application of stable signal recovery to seismic data interpolation

TitleApplication of stable signal recovery to seismic data interpolation
Publication TypeConference
Year of Publication2006
AuthorsGilles Hennenfent, Felix J. Herrmann
Conference NameSEG Technical Program Expanded Abstracts
Volume25
Page2797-2801
OrganizationSEG
Keywordsamplitude, continuity, curvelets, fast transform, interpolation, iterative thresholding, Presentation, regularization minimization, SEG, seismic data, SLIM
Abstract

We propose a method for seismic data interpolation based on 1) the reformulation of the problem as a stable signal recovery problem and 2) the fact that seismic data is sparsely represented by curvelets. This method does not require information on the seismic velocities. Most importantly, this formulation potentially leads to an explicit recovery condition. We also propose a large-scale problem solver for the 1-regularization minimization involved in the recovery and successfully illustrate the performance of our algorithm on 2D synthetic and real examples. {\copyright}2006 Society of Exploration Geophysicists

URLhttps://www.slim.eos.ubc.ca/Publications/Public/Conferences/SEG/2006/hennenfent06SEGaos/hennenfent06SEGaos.pdf
DOI10.1190/1.2370105
Presentation

https://www.slim.eos.ubc.ca/Publications/Public/Conferences/SEG/2006/hen...

URL1

http://dx.doi.org/10.1190/1.2370105

Citation Keyhennenfent2006SEGaos