Tomographic inversion using $\ell_1$-norm regularization of wavelet coefficients
Geophysics
2009-11-13 v1
Abstract
We propose the use of regularization in a wavelet basis for the solution of linearized seismic tomography problems , allowing for the possibility of sharp discontinuities superimposed on a smoothly varying background. An iterative method is used to find a sparse solution that contains no more fine-scale structure than is necessary to fit the data to within its assigned errors.
Cite
@article{arxiv.physics/0608094,
title = {Tomographic inversion using $\ell_1$-norm regularization of wavelet coefficients},
author = {Ignace Loris and Guust Nolet and Ingrid Daubechies and F. A. Dahlen},
journal= {arXiv preprint arXiv:physics/0608094},
year = {2009}
}
Comments
19 pages, 14 figures. Submitted to GJI July 2006. This preprint does not use GJI style files (which gives wrong received/accepted dates). Corrected typo