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Tomographic inversion using $ell_1$-norm regularization of wavelet coefficients

par Loris, Ignace ;Nolet, G.;Daubechies, Ingrid;Dahlen, F.A.
Référence Geophysical journal international, 170, 1, page (359-370)
Publication Publié, 2007-07

Article révisé par les pairs

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Résumé :

We propose the use of $ell_1$ regularization in a wavelet basis for the solution of linearized seismic tomography problems $Am=data$, 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 $data$ to within its assigned errors.