Journal
GEOPHYSICAL JOURNAL INTERNATIONAL
Volume 170, Issue 1, Pages 359-370Publisher
OXFORD UNIV PRESS
DOI: 10.1111/j.1365-246X.2007.03409.x
Keywords
inverse problem; one-norm; sparsity; tomography; wavelets
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We propose the use of l(1) 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.
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