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.Comment: 19 pages, 14 figures. Submitted to GJI July 2006. This preprint does
not use GJI style files (which gives wrong received/accepted dates).
Corrected typ