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Automatic Misalignment Correction of Seismograms Using Low-Rank Matrix Recovery

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4 Author(s)
Lifu Wang ; School of Electronic and Information Engineering, Dalian University of Technology, Dalian, China ; Yi Sun ; Song Gao ; Shuping Zhao

This letter presents a method of correcting misaligned seismograms scanned during the digitization process of analog seismograms. The proposed method uses the low-rank matrix recovery technique to seek a Euclidean transformation that can be used to implement the correction. As the rank of a matrix is a natural measure of regularity and symmetry of images, a misaligned seismogram is assumed to be corrected when the rank of the texture extracted from the seismogram itself reaches the minimum. Therefore, the misalignment correction problem can be considered as a matrix rank minimization problem. The augmented Lagrange multiplier is applied to solve this minimization problem because of its fast convergence. Compared with the traditional geometrical methods, our method works efficiently and conveniently as well as overcomes corruptions, such as notes, spots, or marks.

Published in:

IEEE Geoscience and Remote Sensing Letters  (Volume:10 ,  Issue: 2 )