OC-seislet: seislet transform construction with differential offset continuation

Bibliography

Abma, R., and N. Kabir, 2006, 3D interpolation of irregular data with a POCS algorithm: Geophysics, 71, E91-E97.

Bagaini, C., and U. Spagnolini, 1996, 2-D continuation operators and their applications: Geophysics, 61, 1846-1858.

Biondi, B., S. Fomel, and N. Chemingui, 1998, Azimuth moveout for 3-D prestack imaging: Geophysics, 63, 574-588.

Biondi, B., and I. Vlad, 2002, Amplitude preserving prestack imaging of irregularly sampled 3-D data: 72nd Annual International Meeting, SEG, Expanded Abstracts, 2170-2173.

Bleistein, N., and H. Jaramillo, 2000, A platform for kirchhoff data mapping in scalar models of data acquisition: Geophysical Prospecting, 48, 135-161.

Bolondi, G., E. Loinger, and F. Rocca, 1982, Offset continuation of seismic sections: Geophysical Prospecting, 30, 813-828.

Chauris, H., and T. Nguyen, 2008, Seismic demigration/migration in the curvelet domain: Geophysics, 73, S35-S46.

Claerbout, J. F., 2000, Basic Earth imaging: Stanford Exploration Project, http://sepwww.stanford.edu/sep/prof/.

Cohen, A., I. Daubechies, and J. Feauveau, 1992, Biorthogonal bases of compactly supported wavelets: Communications on Pure and Applied Mathematics, 45, 485-560.

Daubechies, I., and W. Sweldens, 1998, Factoring wavelet transforms into lifting steps: The Journal of Fourier Analysis and Application, 4, 247-269.

Deregowski, S. M., and F. Rocca, 1981, Geometrical optics and wave theory of constant offset sections in layered median: Geophysical Prospecting, 29, 374-406.

Do, M. N., and M. Vetterli, 2005, The contourlet transform: an efficient directional multiresolution image representation: IEEE Trans. Image Process., 14, 2091-2106.

Douma, H., and M. V. de Hoop, 2007, Leading-order seismic imaging using curvelets: Geophysics, 72, S231-S248.

Fomel, S., 2001, Three-dimensinal seismic data regularization: PhD thesis, Ph.D. thesis, Stanford University.

----, 2002, Applications of plane-wave destruction filters: Geophysics, 67, 1946-1960.

----, 2003a, Differential azimuth moveout: 73th Annual International Meeting, SEG, Expanded Abstracts, 2068-2071a.

----, 2003b, Seismic reflection data interpolation with differential offset and shot continuation: Geophysics, 68, 733-744.

----, 2003c, Theory of differential offset continuation: Geophysics, 68, 718-732.

----, 2006, Towards the seislet transform: 76th Annual International Meeting, SEG, Expanded Abstracts, 2847-2851a.

Fomel, S., and Y. Liu, 2010, Seislet transform and seislet frame: Geophysics, 75, V25-V38.

French, W. S., 1974, Two-dimensional and three-dimensional migration of model-experiment reflection profiles: Geophysics, 39, 265-277.

Hale, D., 1991, Dip moveout processing: SEG, Course Notes Series 4.

Herrmann, F., D. Wang, G. Hennenfent, and P. Moghaddam, 2008, Curvelet-based seismic data processing: a multiscale and nonlinear approach: Geophysics, 73, A1-A5.

Herrmann, F. J., and G. Hennenfent, 2008, Non-parametric seismic data recovery with curvelet frames: Geophysical Journal International, 173, 233-248.

Lian, C., K. Chen, H. Chen, and L. Chen, 2001, Lifting based discrete wavelet transform architecture for JPEG2000: The 2001 IEEE International Symposium on Circuits and Systems, IEEE, II445-II448.

Liner, C., 1990, General theory and comparative anatomy of dip moveout: Geophysics, 55, 595-607.

Liu, B., and M. D. Sacchi, 2004, Minimum weighted norm interpolation of seismic records: Geophysics, 69, 1560-1568.

Mallat, S., 2009, A wavelet tour of signal processing, the sparse way: Academic Press, Third Edition.

Pennec, E. L., and S. Mallat, 2005, Sparse geometrical image representation with bandelets: IEEE Trans. Image Process., 14, 423-438.

Petkovsek, M., H. S. Wilf, and D. Zeilberger, 1996, $A=B$ : A K Peters Ltd.

Salvador, L., and S. Savelli, 1982, Offset continuation for seismic stacking: Geophysical Prospecting, 30, 829-849.

Spagnolini, U., and S. Opreni, 1996, 3-D shot continuation operator: 66th Annual International Meeting, SEG, Expanded Abstracts, 439-442.

Starck, J. L., E. J. Candés, and D. L. Donoho, 2000, The curvelet transform for image denoising: IEEE Trans. Image Process., 11, 670-684.

Sweldens, W., 1995, The lifting scheme: A new philosophy in biorthogonal wavelet constructions: Wavelet Applications in Signal and Image Processing III, Proc. SPIE 2569, 68-79.

Sweldens, W., and P. Schröder, 1996, Building your own wavelets at home, in Wavelets in Computer Graphics: ACM SIGGRAPH Course Notes, 15-87.

Velisavljevic, V., 2005, Directionlets: anisotropic multi-directional representation with separable filtering: PhD thesis, Ecole Polytechnique Fédérale de Lausanne.

Xu, S., Y. Zhang, D. Pham, and G. Lambaré, 2005, Antileakage Fourier transform for seismic data regularization: Geophysics, 70, V87-V95.

Zhou, B., I. M. Mason, and S. A. Greenhalgh, 1996, An accurate formulation of log-stretch dip moveout in the frequency-wavenumber domain: Geophysics, 61, 815-820.

Zwartjes, P., and A. Gisolf, 2007, Fourier reconstruction with sparse inversion: Geophysical Prospecting, 55, 199-221.