Rewriting external image URLs

[Tenth Time]

Quick question - is it possible to re-write the URLs of externally hosted images so that an image residing at:

http://www.yourdomain.com/16151146112625252626.jpg

Will appear to reside at:

http://www.mydomain.com/images/nicely-named-image.jpg

I'm not worried about the system for actually coming up with a nice, clean name, just whether it's technically possible.

Rationale: it's a minor cosmetic thing; I'm pulling in third-party images legitimately and would prefer that users see them as hosted on my site should they look to save any down.

Any advice appreciated.

Thanks!

[mj_coder]

i guess where ever the image is hosted there would probably need to be some sort of redirect in place? Or it may simply be the case of having the image on the server the domain is pointed at??