Curvelet transform-based POCS in f-k domain

Bona Kim, Soocheol Jeong, Joongmoo Byun, Soon Jee Seol

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Scopus citations

Abstract

Recently, various interpolation techniques have been developed for reconstructing the missing traces from the irregularly undersampled seismic data. Among those techniques, a projection onto convex set (POCS) algorithm has gained popularity for its robustness and easy implementation. However, the conventional POCS algorithm using Fourier transform has the limitation in interpolating the seismic data containing curved events. Standard curvelet transform-based POCS algorithm can reconstruct the curved events effectively, but it has trouble in interpolating the weak events when they are interpolated with strong events together. To overcome this problem, we introduce a new curvelet transform-based POCS algorithm which applies curvelet transform to the 2D Fourier transformed data in the frequency-wavenumber domain instead of the data in the time-space domain for each iteration of POCS algorithm. Numerical results clearly demonstrate that the presented algorithm is superior to the standard curvelet transform-based POCS especially for interpolating the data containing various amplitudes.

Original languageEnglish
Title of host publicationSociety of Exploration Geophysicists International Exposition and 82nd Annual Meeting 2012, SEG 2012
PublisherSociety of Exploration Geophysicists
Pages3253-3257
Number of pages5
ISBN (Print)9781622769452
DOIs
StatePublished - 2012 Jan 1
EventSociety of Exploration Geophysicists International Exposition and 82nd Annual Meeting 2012, SEG 2012 - Las Vegas, United States
Duration: 2012 Nov 42012 Nov 9

Publication series

NameSociety of Exploration Geophysicists International Exposition and 82nd Annual Meeting 2012, SEG 2012

Other

OtherSociety of Exploration Geophysicists International Exposition and 82nd Annual Meeting 2012, SEG 2012
CountryUnited States
CityLas Vegas
Period12/11/412/11/9

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  • Cite this

    Kim, B., Jeong, S., Byun, J., & Seol, S. J. (2012). Curvelet transform-based POCS in f-k domain. In Society of Exploration Geophysicists International Exposition and 82nd Annual Meeting 2012, SEG 2012 (pp. 3253-3257). (Society of Exploration Geophysicists International Exposition and 82nd Annual Meeting 2012, SEG 2012). Society of Exploration Geophysicists. https://doi.org/10.1190/segam2012-1063.1