Iterative algorithms for total variation-like reconstructions in seismic tomography
Geophysics
2012-04-09 v2 Numerical Analysis
Optimization and Control
Abstract
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.
Cite
@article{arxiv.1203.4451,
title = {Iterative algorithms for total variation-like reconstructions in seismic tomography},
author = {Ignace Loris and Caroline Verhoeven},
journal= {arXiv preprint arXiv:1203.4451},
year = {2012}
}
Comments
28 pages, 8 figures. Corrected sign errors in formula (25)