We first present the Hypothesis Selection Filter in a general

setting. For a given image enhancement problem, suppose

we have selected a set of image filters each of which

is effective in improving the image quality for a certain

type of content. Our objective is to combine the filter outputs

to obtain an overall best quality result. In the following,

we use upper-case letters to denote random variables

and random vectors, and lower-case letters to denote their

realizations.