Publications [#287178] of Ingrid Daubechies

Papers Published

1. Loris, I; Nolet, G; Daubechies, I; Dahlen, FA, Tomographic inversion using ℓ1-norm regularization of wavelet coefficients, Geophysical Journal International, vol. 170 no. 1 (July, 2007), pp. 359-370, Oxford University Press (OUP), ISSN 0956-540X [doi]
   (last updated on 2026/01/13)

   Abstract:
   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.