NDLI: Geophysical data sparse reconstruction based on L0-norm minimization

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Geophysical data sparse reconstruction based on L0-norm minimization

Content Provider	Springer Nature Link
Author	Chen, Guo Xin Chen, Sheng Chang Wang, Han Chuang Zhang, Bo
Copyright Year	2013
Abstract	Missing data are a problem in geophysical surveys, and interpolation and reconstruction of missing data is part of the data processing and interpretation. Based on the sparseness of the geophysical data or the transform domain, we can improve the accuracy and stability of the reconstruction by transforming it to a sparse optimization problem. In this paper, we propose a mathematical model for the sparse reconstruction of data based on the L0-norm minimization. Furthermore, we discuss two types of the approximation algorithm for the L0-norm minimization according to the size and characteristics of the geophysical data: namely, the iteratively reweighted least-squares algorithm and the fast iterative hard thresholding algorithm. Theoretical and numerical analysis showed that applying the iteratively reweighted least-squares algorithm to the reconstruction of potential field data exploits its fast convergence rate, short calculation time, and high precision, whereas the fast iterative hard thresholding algorithm is more suitable for processing seismic data, moreover, its computational efficiency is better than that of the traditional iterative hard thresholding algorithm.
Starting Page	181
Ending Page	190
Page Count	10
File Format	PDF
ISSN	16727975
Journal	Applied Geophysics
Volume Number	10
Issue Number	2
e-ISSN	19930658
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2013-07-02
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Geophysical data sparse reconstruction L0-norm minimization iteratively reweighted least squares fast iterative hard thresholding Geophysics/Geodesy Geotechnical Engineering & Applied Earth Sciences
Content Type	Text
Resource Type	Article
Subject	Geophysics

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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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