Bayesian image reconstruction in astronomy

Details Bayesian image reconstruction in astronomy Bayesian image reconstruction in astronomy

Sep 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990ap%26ss.171..341n&link_type=abstract

(IAU, European Regional Astronomy Meeting, 11th, La Laguna, Spain, July 3-8, 1989) Astrophysics and Space Science (ISSN 0004-640

Mathematics

Probability

5

Astronomical Observatories, Image Reconstruction, Entropy, Image Processing, Lagrange Multipliers, Maximum Likelihood Estimates, Probability Theory

Scientific paper

This paper presents the development and testing of a new iterative reconstruction algorithm for astronomy. A maximum a posteriori method of image reconstruction in the Bayesian statistical framework is proposed for the Poisson-noise case. The method uses the entropy with an adjustable 'sharpness parameter' to define the prior probability and the likelihood with 'data increment' parameters to define the conditional probability. The method makes it possible to obtain reconstructions with neither the problem of the 'grey' reconstructions associated with the pure Bayesian reconstructions nor the problem of image deterioration, typical of the maximum-likelihood method. The present iterative algorithm is fast and stable, maintains positivity, and converges to feasible images.

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