IMAGE-RESTORATION USING GIBBS PRIORS - BOUNDARY MODELING, TREATMENT OF BLURRING, AND SELECTION OF HYPERPARAMETER

We propose a Bayesian model for the restoration of images based on counts of emitted photons. The model treats blurring within the context of an incomplete data problem and utilizes a Gibbs prior to model the spatial correlation of neighboring regions. The Gibbs prior includes line sites to account for boundaries between regions, and the line sites are assigned continuous values to permit efficient estimation using a method called iterative conditional averages. Additionally, the effect of blurring in masking differences between images and the effects of misspecifying the amount of blurring are discussed.