Reconstruction of seismic data via tensor completion

2012 IEEE Statistical Signal Processing Workshop, SSP 2012

Volumn , Issue , 2012, Pages 29-32

  Kreimer, Nadia ^a   Sacchi, Mauricio D ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Multi dimensional Seismic Data Regularization; Tensor Completion

Indexed keywords

DE-NOISE; HIGHER ORDER SINGULAR VALUE DECOMPOSITION; ITERATIVE ALGORITHM; MISSING OBSERVATIONS; SEISMIC DATA REGULARIZATION; SEISMIC DATAS; SEISMIC VOLUMES; SPACE DOMAIN; SPATIAL DATA; TENSOR COMPLETION;

ALGORITHMS; SEISMIC RESPONSE; SIGNAL PROCESSING; TENSORS; WEBSITES;

SEISMIC WAVES;

EID: 84868230812     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/SSP.2012.6319687     Document Type: Conference Paper

References (16)

1. E. Acar, D.M. Dunlavy, T.G. Kolda, and M. Mørup, "Scalable tensor factorizations with missing data," in SIAM International Conference on Data Mining, 2010, pp. 701-712.
2. B. Liu, M.D. Sacchi, and D. Trad, "Simultaneous interpolation of 4 spatial dimensions," 74th Annual International Meeting, Soc. of Expl. Geophys., pp. 2009-2012, 2004.
3. B. Liu, "Multi-dimensional reconstruction of seismic data," PhD thesis, University of Alberta, http://saig.physics.ualberta.ca/saig/publ.html, 2004.
4. D. Trad, "Five-dimensional interpolation: Recovering from acquisition constraints," Geophysics, Vol. 74, no. 6, pp. V123-V132, 2009.
5. V. Oropeza and M.D Sacchi, "Simultaneous seismic data denoising and reconstruction via multichannel singular spectrum analysis," Geophysics, Vol. 76, pp. V25-V32, 2011.
6. B. Liu and M. D. Sacchi, "Minimum weighted norm interpolation of seismic records," Geophysics, Vol. 69, no. 6, pp. 1560-1568, 2004. (Pubitemid 40106926)
7. C. Eckart and G. Young, "The approximation of one matrix by another of lower rank," Psychometrika, Vol. 1, pp. 211-218, 1936.
8. S.L.M. Freire and T.J. Ulrych, "Application of singular value decomposition to vertical seismic profiling," Geophysics, Vol. 53, no. 6, pp. 778-785, 1988.
9. S.R. Trickett, "F-xy eigenimage noise suppression," Geophysics, Vol. 68, no. 2, pp. 751-759, 2003. (Pubitemid 40005417)
10. J.A. Cadzow, "Signal enhancement - a composite property mapping algorithm," IEEE Trans. on Acoustics, Speech and Signal Processing, Vol. 36, pp. 49-62, 1988.
11. S. R. Trickett, L. Burroughs, A. Milton, L. Walton, and R. Dack, "Rank-reduction-based trace interpolation," CSEG Technical Program Expanded Abstracts, 2010.
12. L. Omberg, G.H. Golub, and O. Alter, "A tensor higer-order singular value decomposition for integrative analysis of DNS microarray data from different studies," PNAS, Vol. 104, no. 47, pp. 18371-18376, 2007. (Pubitemid 350210703)
13. L. De Lathauwer, B. De Moor, and J. Vandewalle, "A multilinear singular value decomposition," SIAM J. Matrix Anal. Appl., Vol. 21, no. 4, pp. 1253-1278, 2000. (Pubitemid 33217068)
14. T.G. Kolda and B.W. Bader, "Tensor decompositions and applications," SIAM Review, Vol. 51, no. 3, pp. 455-500, 2009.
15. B. W. Bader and T. G. Kolda, "MAT-LAB Tensor Toolbox Version 2.4," http://csmr.ca.sandia.gov/~tgkolda/TensorToolbox/, March 2010.
16. G. Tomasi and R. Bro, "Parafac and missing values," Chemometrics and Intelligent Laboratory Systems, Vol. 75, no. 2, pp. 163-180, 2005. (Pubitemid 40164340)