Multicomponent Seismic Data Reconstruction via Anti-Aliasing Vector POCS Method

References

Bahia B, Sacchi M D. Widely Linear Denoising of Multicomponent Seismic Data. Geophysical Prospecting, 2020, 68(2): 431-445.

Ell T A, Sangwine S J. Hypercomplex Fourier Transforms of Color Images. IEEE Transactions on Image Processing: A Publication of the IEEE Signal Processing Society, 2007, 16(1): 22-35.

Gao J J, Stanton A, Naghizadeh M, . Convergence Improvement and Noise Attenuation Considerations for beyond Alias Projection Onto Convex Sets Reconstruction. Geophysical Prospecting, 2013, 61(S1): 138-151.

Grandi A, Mazzotti A, Stucchi E. Multicomponent Velocity Analysis with Quaternions. Geophysical Prospecting, 2007, 55(6): 761-777.

Hoffe B H, Lines L R, Cary P W. Applications of OBC Recording. The Leading Edge, 2000, 19(4): 382-391.

Le Bihan N, Mars J. Singular Value Decomposition of Quaternion Matrices: a New Tool for Vector-Sensor Signal Processing. Signal Processing, 2004, 84(7): 1177-1199.

Li F, Gao J J, Sacchi M D, . Multicomponent Seismic Data Reconstruction via a Biquaternion-Based Vector POCS Method. IEEE Transactions on Geoscience and Remote Sensing, 2023, 61 5902316.

Menanno G M, Mazzotti A. Deconvolution of Multicomponent Seismic Data by Means of Quaternions: Theory and Preliminary Results. Geophysical Prospecting, 2012, 60(2): 217-238.

Stanton A, Sacchi M D. Vector Reconstruction of Multicomponent Seismic Data. Geophysics, 2013, 78(4): V131-V145.

Stanton A, Sacchi M. Multicomponent Seismic Data Reconstruction Using the Quaternion Fourier Transform and POCS. SEG Technical Program Expanded Abstracts, 2011, 1267-1272.

Stewart R R, Gaiser J E, Brown R J, . Converted-Wave Seismic Exploration: Applications. Geophysics, 2003, 68(1): 40-57.

Wang Y, Wen P, Li Z, . Several Urgent Problems Faced by Multicomponent Seismics in Oil and Gas Exploration. Oil Geophysical Prospecting, 2020, 55(6): 1395-1406. (in Chinese with English Abstract)

Yuan H M, Wang Y, Wang X C. Seismic Methods for Exploration and Exploitation of Gas Hydrate. Journal of Earth Science, 2021, 32(4): 839-849.

Zhao Q, Du Q Z, Yasin Q, . Quaternion-Based Sparse Tight Frame for Multicomponent Signal Recovery. Geophysics, 2020, 85(2): V143-V156.