Is there a way to do this? With After Effects, Premiere, Final Cut, etc?

I'm interested on this topic too. I thought I'd better reply on this thread rather than starting a new one so James could read the reply too.

I guess it's not easy to remove that noise, if it's dark there is not much to do, but I would like to hear from the pros.

Thanks in advance.

Premiere and FCP don't have good noise removal tools IMO.

Use after effects 6.5 and use the "remove grain" filter. It's based on grain surgery I believe.

If you want a low-cost alternative and have Photoshop (non-Elements), use a Photoshop noise reduction tool like Noise Ninja or Neat Image. Unfortunately, batch actions/processing is VERY VERY slow. So is AE + "remove grain".

If your footage is 60i and you want to do the Photoshop thing, you probably want to handle the interlacing correctly (which would be annoying).

2- An alternative is to hide the noise with diffusion effects.

If you don't mind getting your hands dirty, avisynth (http://www.avisynth.org/) offers the best results, because hackers are constantly making new filters (http://www.avisynth.org/warpenterprises/) for this sort of thing. You can keep abreast of developments here (http://forum.doom9.org/showthread.php?t=51181). Most recently I used FRFun7 (http://forum.doom9.org/showthread.php?t=110200) on an underexposed DV clip, and it worked as well as could be expected.

Video denoisers differ from image denoisers; the former can exploit the fact that noise can be averaged out temporally.