Astrophotographers have been combining similar images for years. This is called "stacking" and there is special purpose software for it. You have great reductions in both noise and in some cases, clarity, than could ever be achieved with a single exposure.
However, there is a big but to this. The prime purpose of stacking is to eliminate noise from really dim objects. It is common for have exposures that are 1-2 minutes long and to combine dozens of these. This doesn't sound like what you want.
I did mention clarity, that sounds like what you are looking for but you will also be disappointed. The best lunar photography today is done with webcams. Yeah, webcams. The trick there is that you have thousands of exposure, most of which are crap since the atmosphere jiggles. But, with a movie made from a web cam, you can discard most of them, looking for those few clear shots. You then take those clear shots and stack them.
Then point at a different place on the moon and do it all over again.
Then again, this isn't what you want, but it is cool.