Regularization and Inverse Problems

Details Regularization and Inverse Problems Regularization and Inverse Problems

2001-04-18

arxiv.org/abs/astro-ph/0104306v1

Astronomy and Astrophysics

Astrophysics

15 pages, 11 figures, uses cl2emult.sty. Invited review for the MPA/ESO/MPE Joint Astronomy Conference "Mining the Sky" held i

Scientific paper

10.1007/10849171_2

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.

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