On multiresolution image restoration

This paper argues that the correct way to use a multiresolution approach to image restoration is to coarsen the posterior distribution of the image via the renormalization group transformation (RGT). It summarises the main results on RGT and points out the difficulties with it. It proposes an alternative transformation which does not have the full properties of the RGT but which preserves the global minimum of the cost function. The major contribution of the paper is to prove some theoretical properties of this transformation which show its significance and usefulness to image processing