Statistical Image Deconvolution with Uncertainties of Observed Maps of Spectra

Details Statistical Image Deconvolution with Uncertainties of Observed Maps of Spectra Statistical Image Deconvolution with Uncertainties of Observed Maps of Spectra

Mar 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008apj...675.1304r&link_type=abstract

The Astrophysical Journal, Volume 675, Issue 2, pp. 1304-1318.

Astronomy and Astrophysics

Astronomy

3

Ism: Individual (Orion Kl), Ism: Molecules, Methods: Data Analysis, Methods: Numerical, Methods: Statistical, Techniques: Image Processing

Scientific paper

An imminent problem in mapping an astronomical object is that the true image is convolved with the sensitivity pattern of the observing telescope and, in addition, degraded by noise and other various sources of error. We approach the problem of deconvolving the observed image by introducing a totally scale-free prior map of intensity distributions which, using Bayes' equation, can be combined with observed data to form the posterior map of intensity distributions. Approximate equations for solving out the mean and the dispersion of the map posterior intensities are then derived.
A more extensive version of the work will be available at http://www.chalmers.se/rss/oso-en/library.

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