Regularization and Inverse Problems
Astrophysics
2009-11-06 v1
Abstract
An overview is given of Bayesian inversion and regularization procedures. In particular, the conceptual basis of the maximum entropy method (MEM) is discussed, and extensions to positive/negative and complex data are highlighted. Other deconvolution methods are also discussed within the Bayesian context, focusing mainly on the comparison of Wiener filtering, Massive Inference and the Pixon method, using examples from both astronomical and non-astronomical applications.
Cite
@article{arxiv.astro-ph/0104306,
title = {Regularization and Inverse Problems},
author = {A. N. Lasenby and R. B. Barreiro and M. P. Hobson},
journal= {arXiv preprint arXiv:astro-ph/0104306},
year = {2009}
}
Comments
15 pages, 11 figures, uses cl2emult.sty. Invited review for the MPA/ESO/MPE Joint Astronomy Conference "Mining the Sky" held in Garching, Germany, July 31 - August 4 2000