Maximum likelihood estimation of blur from multiple observations

A limitation of the existing maximum likelihood (ML) based methods for blur identi cation is that the estimate of blur is poor when the blurring is severe. In this paper, we propose an ML-based method for blur identi cation from multiple observations of a scene. When the relations among the blurring functions of these observations are known, we show that the estimate of blur obtained by using the proposed method is very good. The improvement is particularly signi cant under severe blurring conditions. With an increase in the number of images, direct computation of the likelihood function, however, becomes di cult as it involves calculating the determinant and the inverse of the cross-correlation matrix. To tackle this problem, we propose an algorithm that computes the likelihood function recursively as more observations are added.