Mousetracks (I think that's the word for those jagged looking edges that you see in some clips, especially when an object is moving quickly in the clip).

I have some MOV clips that I downloaded from a newsgroup. I'm converting them to MPEG2 to make DVDs. The original clips have the mousetracks, and they are still there after conversion.
It's not that big an issue for me, but it would be nice if there's a fairly simple way to get rid of them.

Is there a way to get rid of them? A simple way short of investing in high-end hardware or software?