Tomographic inversion using ℓ1-norm regularization of wavelet coefficients

Journal Article (Journal Article)

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.

Full Text

Duke Authors

Cited Authors

  • Loris, I; Nolet, G; Daubechies, I; Dahlen, FA

Published Date

  • July 1, 2007

Published In

Volume / Issue

  • 170 / 1

Start / End Page

  • 359 - 370

Electronic International Standard Serial Number (EISSN)

  • 1365-246X

International Standard Serial Number (ISSN)

  • 0956-540X

Digital Object Identifier (DOI)

  • 10.1111/j.1365-246X.2007.03409.x

Citation Source

  • Scopus