next up previous [pdf]

Next: About this document ... Up: Liu et al.: VD-seislet Previous: Appendix: The lifting scheme


Berkhout, A. J., and D. J. Verschuur, 1997, Estimation of multiple scattering by iterative inversion, Part 1 Theoretical consideration: Geophysics, 62, 1586-1595.

----, 2006, Imaging of multiple reflections: Geophysics, 71, no. 4, SI209-SI220.

Brown, M. P., and A. Guitton, 2005, Least-squares joint imaging of multiples and primaries: Geophysics, 70, no. 5, S79-S89.

Burnett, W., and S. Fomel, 2009, Moveout analysis by time-warping: 79nd Annual International Meeting, SEG, Expanded Abstracts, 3710-3714.

Cai, J., S. Osher, and Z. Shen, 2009, Linearized Bregman iterations for compressed sensing: Mathematics of Computation, 78, 1515-1536.

Canales, L. L., 1984, Random noise reduction: 54th Annual International Meeting, SEG, Expanded Abstracts, Session: S10.1.

Casasanta, L., and S. Fomel, 2011, Velocity-independent $\tau$-$p$ moveout in a vertically-varying VTI medium: Geophysics, 76, no. 4, U45-U57.

Chauris, H., and T. Nguyen, 2008, Seismic demigration/migration in the curvelet domain: Geophysics, 73, no. 2, S35-S46.

Chen, Z., S. Fomel, and W. Lu, 2013a, Accelerated plane-wave destruction: Geophysics, 78, no. 1, V1-V9.

----, 2013b, Omnidirectional plane-wave destruction: Geophysics, 78, no. 5, V171-V179.

Claerbout, J. F., 1992, Earth Soundings Analysis: Processing Versus Inversion: Blackwell Scientific Publications.

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., M. Defries, and C. D. Mol, 2004, An iterative thresholding algorithm for linear inverse problems with a sparsity constraint: Communications on Pure and Applied Mathematics, LVII, 1413-1457.

Dix, C. H., 1955, Seismic velocity from surface measurement: Geophysics, 20, 68-86.

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

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

----, 2007, Velocity-independent time-domain seismic imaging using local event slopes: Geophysics, 72, no. 3, S139-S147.

----, 2008, Nonlinear shaping regularization in geophysical inverse problems: 78th Annual International Meeting, SEG, Expanded Abstracts, 2046-2051.

----, 2009a, Adaptive multiple subtraction using regularized nonstationary regression: Geophysics, 74, no. 1, V25-V33.

----, 2009b, Velocity analysis using AB semblance: Geophysical Prospecting, 57, 311-321.

----, 2010, Predictive painting of 3D seismic volumes: Geophysics, 75, no. 4, A25-A30.

Fomel, S., and V. Grechka, 2001, Nonhyperbolic reflection moveout of P waves. An overview and comparison of reasons, in CWP-372: Colorado School of Mines.

Fomel, S., and A. Guitton, 2006, Regularizing seismic inverse problems by model re-parameterization using plane-wave construction: Geophysics, 71, no. 5, A43-A47.

Fomel, S., and Y. Liu, 2010, Seislet transform and seislet frame: Geophysics, 75, no. 3, V25-V38.

Fomel, S., P. Sava, I. Vlad, Y. Liu, and V. Bashkardin, 2013, Madagascar: open-source software project for multidimensional data analysis and reproducible computational experiments: Journal of Open Research Software, 1, e8.

Foster, D. J., and C. C. Mosher, 1992, Suppression of multiple reflections using the Radon transform: Geophysics, 57, 386-395.

Guitton, A., and D. Verschuur, 2004, Adaptive subtraction of multiples using the L1-norm: Geophysical Prospecting, 52, 27-38.

Hargreave, N., B. verWest, R. Wombell, and D. Trad, 2003, Multiple attenuation using an apex-shifted Radon transform: 73rd Annual International Meeting, SEG, Expanded Abstracts, 1929-1932.

Herrmann, F., D. Wang, D. Hennenfent, and P. Moghaddam, 2008, Curvelet-based seismic data processing: a multiscale and nonlinear approach: Geophysics, 73, no. 1, A1-A5.

Herrmann, P., T. Mojesky, M. Magesan, and P. Hugonnet, 2000, De-aliased, high-resolution radon transforms: Society of Exploration Geophysicists 70th Annual International Meeting, SP2, 1953-1956.

Hunt, L., P. Gary, and W. Upham, 1996, The impact of an improved radon transform on multiple attenuation: 66th Annual International Meeting, SEG, Expanded Abstracts, 1535-1538.

Jensen, A., and A. la Cour-Harbo, 2001, Ripples in mathematics: the discrete wavelet transform: Springer.

Karsli, H., D. Dondurur, and G. Çifçi, 2006, Application of complex-trace analysis to seismic data for random-noise suppression and temporal resolution improvement: Geophysics, 71, no. 3, V79-V86.

Keys, R. G., and D. J. Foster, 1998, Comparison of seismic inversion methods on a single real data set: Society of Exploration Geophysicists.

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.

Liu, Y., and S. Fomel, 2010, OC-seislet: Seislet transform construction with differential offset continuation: Geophysics, 75, no. 6, WB235-WB245.

Liu, Y., and C. Liu, 2013, Velocity-dependent seislet transform and its applications: 83rd Annual International Meeting, SEG, Expanded Abstracts, 3661-3666.

Liu, Y., N. Liu, and C. Liu, 2015, Adaptive prediction filtering in $t$-$x$-$y$ domain for random noise attenuation using regularized nonstationary autoregression: Geophysics, 80, no. 1, V13-V21.

Lu, W., and J. Liu, 2007, Random noise suppression based on discrete cosine transform: 77th Annual International Meeting, SEG, Expanded Abstracts, 2668-2672.

Lumley, D., D. Nichols, and T. Rekdal, 1994, Amplitude-preserved multiple suppression: Stanford Exploration Project, SEP report 82, 25-45.

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

Neelamani, R., A. I. Baumstein, D. G. Gillard, M. T. Hadidi, and W. I. Soroka, 2008, Coherent and random noise attenuation using the curvelet transform: The Leading Edge, 27, 240-248.

Ottolini, R., 1983a, Signal/noise separation in dip space: Stanford Exploration Project, SEP report 37, 143-149.

----, 1983b, Velocity independent seismic imaging: Stanford Exploration Project, SEP report 37, 59-68.

Reiter, E. C., M. N. Toksöz, T. H. Keho, and G. M. Purdy, 1991, Imaging with deep-water multiples: Geophysics, 56, 1081-1086.

Ristau, J. P., and W. M. Moon, 2001, Adaptive filtering of random noise in 2-D geophysical data: Geophysics, 66, 342-349.

Rutherford, S. R., and R. H. Williams, 1989, Amplitude-versus-offset variations in gas sands: Geophysics, 54, 680-688.

Sacchi, M., and H. Kuehl, 2001, ARMA formulation of FX prediction error filters and projection filters: Journal of Seismic Exploration, 9, 185-197.

Sacchi, M., and M. Naghizadeh, 2009, Adaptive linear prediction filtering for random noise attenuation: 79th Annual International Meeting, SEG, Expanded Abstracts, 3347-3351.

Sacchi, M. D., and T. J. Ulrych, 1995, High-resolution velocity gathers and offset space reconstruction: Geophysics, 60, 1169-1177.

Sarkar, D., R. T. Baumel, and K. L. Larner, 2002, Velocity analysis in the presence of amplitude variation: Geophysics, 67, 1664-1672.

Sarkar, D., J. P. Castagna, and W. Lamb, 2001, AVO and velocity analysis: Geophysics, 66, 1284-1293.

Schleicher, J., J. C. Costa, L. T. Santos, A. Novais, and M. Tygel, 2009, On the estimation of local slopes: Geophysics, 74, no. 4, P25-P33.

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.

Trad, D., T. Ulrych, and M. Sacchi, 2003, Latest views of the sparse radon transform: Geophysics, 68, 386-399.

Verschuur, D. J., A. J. Berkhout, and C. P. A. Wapenaar, 1992, Adaptive surface-related multiple elimination: Geophysics, 57, 1166-1177.

Wang, Y., 2003a, Multiple attenuation: coping with the spatial truncation effect in the Radon transform domain: Geophysical Prospecting, 51, 75-83.

----, 2003b, Multiple subtraction using an expanded multichannel matching filter: Geophysics, 68, 346-354.

Weglein, A. B., F. A. Gasparotto, P. M. Carvalho, and R. H. Stolt, 1997, An inverse-scattering series method for attenuating multiples in seismic reflection data: Geophysics, 62, 1975-1989.

Youn, O. K., and H. W. Zhou, 2001, Depth imaging with multiples: Geophysics, 66, 246-255.

Zhou, B., and S. Greenhalgh, 1996, Multiple suppression by 2D filtering in the parabolic $\tau$-$p$ domain: a wave-equation-based method: Geophysical Prospecting, 44, 375-401.