Seismic wavefield inversion with curvelet-domain sparsity promotion

SEG Technical Program Expanded Abstracts

Volumn 27, Issue 1, 2008, Pages 2497-2501

  Herrmann, Felix J ^a   Wang, Deli ^b  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^b JILIN UNIVERSITY   (China)

Author keywords

Acquisition; Inversion; Multiples; Nonlinear; Transform

Indexed keywords

EID: 58049165247     PISSN: 10523812     EISSN: None     Source Type: Book Series    
DOI: 10.1190/1.3063862     Document Type: Conference Paper

References (20)

1. Berkhout, A. J., 2006, Seismic processing in the inverse data space: Geophysics, 71.
2. Berkhout, A. J., and D. J. Verschuur, 2006, Focal transformation, an imaging concept for signal restoration and noise removal: Geophysics, 71, 1596-1611.
3. Berkhout, A. J., and D. J. Verschuur, 2007, Seismic processing in the inverse data space, removal of surface-related and internal multiples: 69th Annual International Conference and Exhibition, EAGE, Extended Abstracts, B036.
4. Candes, E. J., L. Demanet, D. L. Donoho, and L. Ying, 2006, Fast, discrete curvelet transforms: SIAM Multiscale Modeling Simulation, 5, 861-899.
5. Candès, E., J. Romberg, and T. Tao, 2006, Stable signal recovery from incomplete and inaccurate measurements: Communications in Pure Applied Mathematics, 59, 1207-1223. cpa CPMAMV 0010-3640 Commun. Pure Appl. Math.
6. Daubechies, L, M. Defrise, and C. de Mol, 2005, An iterative thresholding algorithm for linear inverse problems with a sparsity constrains: Communications in Pure Applied Mathematics, 1413-1457.
7. Donoho, D. L., 2006, Compressed sensing: IEEE Transactions of Information Theory, 52, 1289-1306. iet IETTAW 0018-9448 IEEE Trans. Inf. Theory
8. Elad, M., J. L. Starck, P. Querre, and D. L. Donoho, 2005, Simulataneous cartoon and texture image inpainting using morphological component analysis (MCA): Applied Computational Harmonious Analalysis, 19, 340-358. 6gf ACOHE9 1063-5203 Appl. Comput. Harmon. Anal.
9. Figueiredo, M., and R. Nowak, 2003, An EM algorithm for wavelet-based image restoration: IEEE Transactions of Image Processing, 12, 906-916. iei IIPRE4 1057-7149 IEEE Trans. Image Process.
10. Hennenfent, G., and F. J. Herrmann, 2006, Seismic denoising with nonuniformly sampled curvelets: IEEE Computations in Science and Engineering, 8, 16-25.
11. Hennenfent, G., 2008, Simply denoise: Wavefield reconstruction via jittered undersampling: Geophysics, 73.
12. Herrmann, F., D. Wang, G. Hennenfent, and P. Moghaddam, 2008, Curvelet-based seismic data processing: A multiscale and nonlinear approach: Geophysics, 73, A1-A5. gpy GPYSA7 0016-8033 Geophysics
13. Herrmann, F. J., and G. Hennenfent, 2008, Nonparametric seismic data recovery with curvelet frames: Geophysical Journal International, 173, 223-248. gji GJINEA 0956-540X Geophys. J. Int.
14. Lin, T., and F. J. Herrmann, 2007, Compressed wavefield extrapolation: Geophysics, 72, SM77-SM93. gpy GPYSA7 0016-8033 Geophysics
15. Sacchi, M. D., T. J. Ulrych, and C. Walker, 1998, Interpolation and extrapolation using a high-resolution discrete Fourier transform: 46, 31-38.
16. Santosa, F., and W. Symes, 1986, Linear inversion of band-limited reflection seismogram: SIAM Journal of Scientific Computation, 7.
17. Sheng, P., 1995, Introduction to wave scattering, localization, and mesoscopic phenomena: Academic Press.
18. Taylor, H. L., S. Banks, and J. McCoy, 1979, Deconvolution with the norm: Geophysics, 44, 39. gpy GPYSA7 0016-8033 Geophysics
19. Verschuur, D. J., A. J. Berkhout, and C. P. A. Wapenaar, 1992, Adaptive surface-related multiple elimination: Geophysics, 57, 1166-1177. gpy GPYSA7 0016-8033 Geophysics
20. Ying, L., L. Demanet, and E. J. Candés, 2005, 3D discrete curvelet transform: Wavelets XI, Expanded Abstracts, 591413, SPIE.