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Proceedings Paper

A Gibbs sampler for conductivity imaging and other inverse problems
Author(s): Colin Fox
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Paper Abstract

Gibbs samplers have many desirable theoretical properties, but also have the pesky requirement that conditional distributions be available. We show how conditional densities can be evaluated for the posterior distribution in conductivity imaging - virtually for free in coordinate directions and very cheaply in other ‘special’ directions. The analysis actually applies to a broad class of non-invasive imaging techniques that utilize strong scattering of energy, and leads to efficient iterative algorithms whether implementing inference or optimization. The resulting Gibbs sampler draws an independent conductivity image in only a little more compute time than required for optimization.

Paper Details

Date Published: 15 October 2012
PDF: 7 pages
Proc. SPIE 8500, Image Reconstruction from Incomplete Data VII, 850006 (15 October 2012); doi: 10.1117/12.931111
Show Author Affiliations
Colin Fox, Univ. of Otago (New Zealand)

Published in SPIE Proceedings Vol. 8500:
Image Reconstruction from Incomplete Data VII
Philip J. Bones; Michael A. Fiddy; Rick P. Millane, Editor(s)

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