Sorry, but moire issues are recorded that way. They're in the footage. You can reduce the effect by isolating the area where the moire pattern appears, and applying a bit of blur.
Since a camera rarely holds still, this would be something that you would want to fix in an application like Motion or After Effects. With them, you have capability of motion tracking, to make your moire reduction efforts less painful.
Please note: I didn't say, "painless". I said "less painful".
Former Sr. Promotion Producer
KCRG-TV (ABC) Cedar Rapids, IA
I appreciate your feedback. So far, I've generally had to stay away from including sections of footage where it occurs. Haven't used Motion enough yet to utilize it as a goto app, but would love to see a step by step tutorial on using it to help with issues such as this and for smoothcam.
Monitoring from my 7D screen, sometimes, it seems to occur when I don't expect it at all outside of those clear stripes, like certain rocks, buildings, vegetation...
Photoshop Lightroom has a moire brush. If it's a small, isolated clip you could export that clip as an image sequence, deal with the images in a photo app, then bring the corrected image sequence back into your nle (probably as a video clip). LR does have batch processing with brush tools, so if it's in the same area the entire time it wouldn't be too bad, but being a photo application there's no keyframing engine to change an effect over several clips.