Edge Preserving Image Restoration

Algorithms for the restoration of degraded images often contain unknown parameters which must be selected judiciously by the analyst. This selection process is particularly difficult when there are several parameters and therefore we believe that it is important to develop an automatic means of estimating them. Many real images contain discontinuities and as a result image restoration algorithms that involve smoothing must inevitably produce serious bias unless these edges are modelled explicitly (or implicitly) within the prior model for the unknown image. This article describes a simple approach which is intended to resolve both of these problems.