Probabilistic Regularization in Inverse Optical Imaging

Details Probabilistic Regularization in Inverse Optical Imaging Probabilistic Regularization in Inverse Optical Imaging

2006-08-07

arxiv.org/abs/physics/0608070v1

J. Opt. Soc. Am. A 17, 1942-1951 (2000)

Physics

Optics

21 pages, 4 figures

Scientific paper

10.1364/JOSAA.17.001942

The problem of object restoration in the case of spatially incoherent illumination is considered. A regularized solution to the inverse problem is obtained through a probabilistic approach, and a numerical algorithm based on the statistical analysis of the noisy data is presented. Particular emphasis is placed on the question of the positivity constraint, which is incorporated into the probabilistically regularized solution by means of a quadratic programming technique. Numerical examples illustrating the main steps of the algorithm are also given.

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