Title :
Reconstruction of seismic data via tensor completion
Author :
Kreimer, Nadia ; Sacchi, Mauricio D.
Author_Institution :
Dept. of Phys., Univ. of Alberta, Edmonton, AB, Canada
Abstract :
We describe the use of a higher-order singular value decomposition (HOSVD) in the reconstruction of seismic volumes. Seismic data in the frequency - space domain are represented via a 4-th order tensor. We present an iterative algorithm that permits to simultaneously de-noise and recover missing observations. The algorithm assumes that 4D spatial data can be represented by a low-rank tensor computed via the Higher-Order Singular Value Decomposition (HOSVD).
Keywords :
iterative methods; signal denoising; signal reconstruction; singular value decomposition; tensors; 4D spatial data; 4th order tensor; HOSVD; frequency-space domain; higher-order singular value decomposition; iterative algorithm; low-rank tensor; seismic data reconstruction; seismic volume reconstruction; tensor completion; Approximation methods; Frequency domain analysis; Image reconstruction; Matrix decomposition; Signal to noise ratio; Singular value decomposition; Tensile stress; Multi-dimensional Seismic Data Regularization; Tensor Completion;
Conference_Titel :
Statistical Signal Processing Workshop (SSP), 2012 IEEE
Conference_Location :
Ann Arbor, MI
Print_ISBN :
978-1-4673-0182-4
Electronic_ISBN :
pending
DOI :
10.1109/SSP.2012.6319687
