Tomographic inversion using ℓ1 -norm regularization of wavelet coefficients
Publication
, Journal Article
Loris, I; Nolet, G; Daubechies, I; Dahlen, FA
Published in: Geophysical Journal International
July 1, 2007
We propose the use of ℓ1 regularization in a wavelet basis for the solution of linearized seismic tomography problems Am = d, allowing for the possibility of sharp discontinuities superimposed on a smoothly varying background. An iterative method is used to find a sparse solution m that contains no more fine-scale structure than is necessary to fit the data d to within its assigned errors. © 2007 The Authors Journal compilation © 2007 RAS.
Duke Scholars
Published In
Geophysical Journal International
DOI
EISSN
1365-246X
ISSN
0956-540X
Publication Date
July 1, 2007
Volume
170
Issue
1
Start / End Page
359 / 370
Related Subject Headings
- Geochemistry & Geophysics
- 4013 Geomatic engineering
- 3706 Geophysics
- 3705 Geology
- 0909 Geomatic Engineering
- 0404 Geophysics
- 0403 Geology
Citation
APA
Chicago
ICMJE
MLA
NLM
Loris, I., Nolet, G., Daubechies, I., & Dahlen, F. A. (2007). Tomographic inversion using ℓ1 -norm regularization of wavelet coefficients. Geophysical Journal International, 170(1), 359–370. https://doi.org/10.1111/j.1365-246X.2007.03409.x
Loris, I., G. Nolet, I. Daubechies, and F. A. Dahlen. “Tomographic inversion using ℓ1 -norm regularization of wavelet coefficients.” Geophysical Journal International 170, no. 1 (July 1, 2007): 359–70. https://doi.org/10.1111/j.1365-246X.2007.03409.x.
Loris I, Nolet G, Daubechies I, Dahlen FA. Tomographic inversion using ℓ1 -norm regularization of wavelet coefficients. Geophysical Journal International. 2007 Jul 1;170(1):359–70.
Loris, I., et al. “Tomographic inversion using ℓ1 -norm regularization of wavelet coefficients.” Geophysical Journal International, vol. 170, no. 1, July 2007, pp. 359–70. Scopus, doi:10.1111/j.1365-246X.2007.03409.x.
Loris I, Nolet G, Daubechies I, Dahlen FA. Tomographic inversion using ℓ1 -norm regularization of wavelet coefficients. Geophysical Journal International. 2007 Jul 1;170(1):359–370.
Published In
Geophysical Journal International
DOI
EISSN
1365-246X
ISSN
0956-540X
Publication Date
July 1, 2007
Volume
170
Issue
1
Start / End Page
359 / 370
Related Subject Headings
- Geochemistry & Geophysics
- 4013 Geomatic engineering
- 3706 Geophysics
- 3705 Geology
- 0909 Geomatic Engineering
- 0404 Geophysics
- 0403 Geology