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Abstract

Summary

During last decade Fourier methods based on Compressive Sensing sparsity promoting tools have been ascertained as most effective approaches to the interpolation of irregular sampled data problem. This is due to their capability in handling the non-orthogonality of the Fourier dictionary when data sampling is irregular. The assumption that seismic data have a sparse representation in the Fourier domain make possible the usage of greedy algorithms in order to estimate the spectrum while contrasting the energy leakage effect. The well-known Matching Pursuit and Orthogonal Matching Pursuit have been applied with this aim, by the way both of them turned out to be heavily time-consuming approaches. Thus, next challenge is to come out with a method which is not only effective, but also efficient. In this sense the usage of the recently developed Stagewise Conjugate Gradient Pursuit is proposed. It differs from above mentioned approaches in two main innovations: in selecting more than a single component per each iteration and in updating components by conjugate directions at each iteration. Experiments on a real 3D marine dataset show how Stagewise Conjugate Gradient Pursuit converges much faster than Matching Pursuit to the desired solution while not affecting accuracy of recovered data.

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/content/papers/10.3997/2214-4609.201412980
2015-06-01
2024-04-19

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References

  1. Abma, R., and Claerbout, J.
    [1995] Lateral prediction for noise attenuation by t-x and F-X techniques. Geophysics, 60, 1887–1896.
     [Google Scholar]
  2. Adamo, A., Mazzucchelli, P. and Bienati, N.
    [2014]. Weak orthogonal matching pursuit with geophysical atom selection. 76th EAGE Conference and Exhibition, Extended Abstracts, P0113.
     [Google Scholar]
  3. Blumensath, T. and Davies, M. E.
    [2009] Stagewise weak gradient pursuit. IEEE Transaction on Signal Processing, 57, 4333–4346.
     [Google Scholar]
  4. Canning, A. and Gardner, G. H. F.
    [1996] Regularizing 3-D data sets with DMO. Geophysics, 61, 1103–1114.
     [Google Scholar]
  5. Hollander, Y., Kosloff, D., Koren, Z. and Bartana, A.
    [2012] Seismic data interpolation by orthogonal matching pursuit. 74th EAGE Conference and Exhibition, Extended Abstracts, B032.
     [Google Scholar]
  6. Kamil, Y. I., Kitchenside, P. W., Vassallo, M. and Özbek, A.
    [2014] A study of different greedy algorithms for crossline wavefield reconstruction using multimeasurement towed marine data. 76th EAGE Conference and Exhibition, Extended Abstracts, E104.
     [Google Scholar]
  7. Mallat, S. G. and Zhang, Z.
    [1993] Matching pursuit with time-frequency dictionaries. IEEE Transaction on Signal Processing, 41, 3397–3415.
     [Google Scholar]
  8. Mazzucchelli, P., Rocca, F., Spagnolini, U. and Spitz, S.
    [1998] Wavefield Interpolation – Continuation or Prediction Filter Techniques?60th EAGE Conference and Exhibition, Extended Abstracts, 02–51.
     [Google Scholar]
  9. Nguyen, T. and Winnett, R.
    [2011] Seismic interpolation by optimally matched Fourier components. 81st SEG Annual International Meeting, Expanded Abstracts, 3085–3089.
     [Google Scholar]
  10. Sacchi, M. D. and Ulrych, T. J.
    [1995] High-resolution velocity gathers and offset space reconstruction. Geophysics, 60, 1169–1177.
     [Google Scholar]
  11. Spitz, S.
    [1991] Seismic trace interpolation in the F-X domain. Geophysics, 56, 785–794.
     [Google Scholar]
  12. Tropp, J. A. and Gilbert, A. C.
    [2007] Signal recovery from random measurements via orthogonal matching pursuit. IEEE Transaction on Information Theory, 53, 4655–4666.
     [Google Scholar]
  13. Xu, S. and Pham, D.
    [2004] Seismic data regularization with anti-leakage Fourier transform. 66th EAGE Conference and Exhibition, Extended Abstracts, D032.
     [Google Scholar]
  14. Zwartjes, P. M. and Sacchi, M. D.
    [2004] Fourier reconstruction of non-uniformly sampled, aliased data. 74th SEG Annual International Meeting, Expanded Abstracts, 1997–2000.
     [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201412980
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Stagewise Conjugate Gradient Pursuit for Seismic Trace Interpolation
Conference Proceedings 2015, 1 (2015); https://doi.org/10.3997/2214-4609.201412980
/content/papers/10.3997/2214-4609.201412980
/content/papers/10.3997/2214-4609.201412980
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