Iterative algorithms for total variation-like reconstructions in seismic tomography

Details Iterative algorithms for total variation-like reconstructions in seismic tomography Iterative algorithms for total variation-like reconstructions in seismic tomography

2012-03-20

arxiv.org/abs/1203.4451v2

Physics

Geophysics

28 pages, 8 figures. Corrected sign errors in formula (25)

Scientific paper

10.1007/s13137-012-0036-3

A qualitative comparison of total variation like penalties (total variation, Huber variant of total variation, total generalized variation, ...) is made in the context of global seismic tomography. Both penalized and constrained formulations of seismic recovery problems are treated. A number of simple iterative recovery algorithms applicable to these problems are described. The convergence speed of these algorithms is compared numerically in this setting. For the constrained formulation a new algorithm is proposed and its convergence is proven.

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