Abstract
In this paper, we propose an approximate shrinkage operator in the iterative shrinkage-thresholding (IST) algorithm to interpolate the nonuniformly sampled seismic traces. The key to designing the approximate shrinkage operator is the use of Taylor series. The redundant Fourier transform is employed to enhance the reconstruction performance, inspired by the theory of spectral compressive sensing. Numerical experiments using 3D real data and 5D synthetic data demonstrate the superiority of the proposed method.
| Original language | English |
|---|---|
| Pages (from-to) | 43-50 |
| Number of pages | 8 |
| Journal | Journal of Applied Geophysics |
| Volume | 116 |
| DOIs | |
| State | Published - 1 May 2015 |
| Externally published | Yes |
Keywords
- Iterative shrinkage-thresholding (IST)
- Redundant transform
- Seismic trace interpolation
- Sparsity
- Taylor series
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