Bibliography

Abma, R., and N. Kabir, 2005, Comparisons of interpolation methods: The Leading Edge, 24, 984-989.

----, 2006, 3D interpolation of irregular data with a POCS algorithm: Geophysics, 71, E91-E97.

Candès, E. J., and T. Tao, 2010, The power of convex relaxation: Near-optimal matrix completion: IEEE Trans. Inf. Theory, 56, 2053-2080.

Canning, A., and G. H. F. Gardner, 1996, Reducing 3D acquisition footprint for 3D dmo and 3D prestack migration: Geophysics, 63, 1177-1183.

Chen, Y., K. Chen, P. Shi, and Y. Wang, 2014a, Irregular seismic data reconstruction using a percentile-half-thresholding algorithm: Journal of Geophysics and Engineering, 11, 065001.

Chen, Y., and S. Fomel, 2015, Random noise attenuation using local signal-and-noise orthogonalization: Geophysics, 80, WD1-Wd9.

Chen, Y., S. Fomel, and J. Hu, 2014b, Iterative deblending of simultaneous-source seismic data using seislet-domain shaping regularization: Geophysics, 79, V179-V189.

Chen, Y., J. Ma, and S. Fomel, 2016, Double-sparsity dictionary for seismic noise attenuation: Geophysics, 81, V17-V30.

Chen, Y., L. Zhang, and L. Mo, 2015, Seismic data interpolation using nonlinear shaping regularization: Journal of Seismic Exploration, 24, 327-342.

Chiu, S. K., 2014, Multidimensional interpolation using a model-constrained minimum weighted norm interpolation: Geophysics, 79, V191-V199.

Duijndam, A. J., M. A. Schonewille, and C. O. H. Hindriks, 1999, Reconstruction of band-limited signals, irregularly sampled along one spatial direction: Geophysics, 64, 524-538.

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

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

----, 2007, Local seismic attributes: Geophysics, 72, A29-A33.

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

Gan, S., Y. Chen, S. Wang, X. Chen, W. Huang, and H. Chen, 2016, Compressive sensing for seismic data reconstruction using a fast projection onto convex sets algorithm based on the seislet transform: Journal of Applied Geophysics, 130, 194-208.

Gan, S., Y. Chen, S. Zu, S. Qu, and W. Zhong, 2015a, Structure-oriented singular value decomposition for signal enhancement of seismic data: Journal of Geophysics and Engineering, 12, 262-272.

Gan, S., S. Wang, Y. Chen, and X. Chen, 2015b, Seismic data reconstruction via fast projection onto convex sets in the seislet transform domain: SEG expanded abstracts: 85th Annual international meeting, 3814-3819.

Gan, S., S. Wang, Y. Chen, Y. Zhang, and Z. Jin, 2015c, Dealiased seismic data interpolation using seislet transform with low-frequency constraint: IEEE Geoscience and remote sensing letters, 12, 2150-2154.

Gao, J., J. Cheng, and M. Sacchi, 2015a, A new 5D seismic reconstruction method based on a parallel square matrix factorization algorithm: SEG expanded abstracts: 85th Annual international meeting, 3784-3788.

Gao, J., A. Stanton, and M. Sacchi, 2015b, Parallel matrix factorization algorithm and its application to 5D seismic reconstruction and denoising: Geophysics, 80, V173-V187.

Halko, N., P. Martinsson, and J. Tropp, 2011, Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions: SIAM Review, 53.

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

Huang, W., R. Wang, Y. Chen, H. Li, and S. Gan, 2016, Damped multichannel singular spectrum analysis for 3D random noise attenuation: Geophysics, 81, V261-V270.

Huang, W., R. Wang, M. Zhang, Y. Chen, and J. Yu, 2015, Random noise attenuation for 3D seismic data by modified multichannel singular spectrum analysis: 77th Annual International Conference and Exhibition, EAGE, Extended Abstracts, DOI:10.3997/2214-4609.201412830.

Kreimer, N., and M. Sacchi, 2012, A tensor higher-order singular value decomposition for prestack seismic data noise reduction and interpolation: Geophysics, 77, V113-V122.

Kreimer, N., A. Stanton, and M. Sacchi, 2013, Tensor completion based on nuclear norm minimization for 5D seismic data reconstruction: Geophysics, 78, V273-V284.

Li, C., C. C. Mosher, and S. Kaplan, 2012, Interpolated compressive sensing for seismic data reconstruction: 82nd Annual International Meeting, SEG, Expanded Abstracts, 1-6.

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

Liu, W., S. Cao, Y. Chen, and S. Zu, 2016, An effective approach to attenuate random noise based on compressive sensing and curvelet transform: Journal of Geophysics and Engineering, 13, 135-145.

Liu, W., S. Cao, G. Li, and Y. He, 2015, Reconstruction of seismic data with missing traces based on local random sampling and curvelet transform: Journal of Applied Geophysics, 115, 129.

Naghizadeh, M., and M. D. Sacchi, 2007, Multistep autoregressive reconstruction of seismic records: Geophysics, 72, V111-V118.

Oropeza, V., and M. Sacchi, 2011, Simultaneous seismic data denoising and reconstruction via multichannel singular spectrum analysis: Geophysics, 76, V25-V32.

Plan, Y., 2011, Compressed sensing, sparse approximation, and low-rank matrix estimation: PhD thesis, California Institute of Technology.

Porsani, M. J., 1999, Seismic trace interpolation using half-step prediction filters: Geophysics, 64, 1461-1467.

Recht, B., M. Fazel, and P. A. Parrilo, 2010, Guaranteed minimum-rank solutions of linear matrix equations via nuclear norm minimization: SIAM Review, 52.

Rokhlin, V., A. Szlam, and M. Tygert, 2009, A randomized algorithm for principle component analysis: SIAM Journal on Matrix Analysis and Applications, 31, 1100-1124.

Ronen, J., 1987, Wave-equation trace interpolation: Geophysics, 52, 973-984.

Sacchi, M. D., T. J. Ulrych, and C. J. Walker, 1998, Interpolation and extrapolation using a high-resolution discrete fourier transform: IEEE Transactions on Signal Processing, 46, 31-38.

Shahidi, R., R. Tang, J. Ma, and F. J. Herrmann, 2013, Application of randomized sampling schemes to curvelet-based sparsity-promoting seismic data recovery: Geophysical Prospecting, 61, 973-997.

Spitz, S., 1991, Seismic trace interpolation in the f-x domain: Geophysics, 56, 785-794.

Sternfels, R., G. Viguier, R. Gondoin, and D. L. Meur, 2015, Multidimensional simultaneous random plus erratic noise attenuation and interpolation for seismic data by joint low-rank and sparse inversion: Geophysics, 80, WD129-WD141.

Trad, D. O., T. J. Ulrych, and M. D. Sacchi, 2002, Accurate interpolation with high-resolution time-variant radon transforms: Geophysics, 67, 644-656.

Trickett, S. R., and L. Burroughs, 2009, Prestack rank-reducing noise suppression: Theory: 79th Annual International Meeting, SEG, Expanded Abstracts, 3332-3336.

Wang, B., J. Li, and X. Chen, 2015a, A novel method for simultaneous seismic data interpolation and noise removal based on the $l_0$ constraint: Journal of Seismic Exploration, 187-204.

Wang, B., R. Wu, X. Chen, and J. Li, 2015b, Simultaneous seismic data interpolation and denoising with a new adaptive method based on dreamlet transform: Geophysical Journal International, 201, 1180-1192.

Wang, J., M. Ng, and M. Perz, 2010a, Seismic data interpolation by greedy local radon transform: Geophysics, 80, WB225-WB234.

----, 2010b, Seismic data interpolation by greedy local radon transform: Geophysics, 75, WB225-WB234.

Yang, W., R. Wang, Y. Chen, J. Wu, S. Qu, J. Yuan, and S. Gan, 2015, Application of spectral decomposition using regularized non-stationary autoregression to random noise attenuation: Journal of Geophysics and Engineering, 12, 175-187.

Yu, Z., J. Ferguson, G. MeMechan, and P. Anno, 2007, Wavelet-radon domain dealiasing and interpolation of seismic data: Geophysics, 72, V41-V49.