Two Bayesian image restoration algorithms from partially-known blurs

In this paper we examine the restoration problem when the point-spread function (PSF) of the degradation system, is partially known. For this problem the PSF is assumed to be the sum of a known deterministic and an unknown random component. This problem, has been examined before; however, in most previous works the problem of estimating the parameters that define the restoration, filters was not addressed. In this paper two iterative algorithms that simultaneously restore the image and estimate the parameters of the restoration filter are proposed using evidence analysis (EA) within the hierarchical Bayesian framework. Numerical experiments are presented that test and compare the proposed algorithms.