2008ApJ...675.1304R

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.