I've been having this problem as well lately. If I have a window open on top of my desktop icons, I can see the outlines of the icons. Since I have a web browser open quite a bit I can often see outlines from the top part of the Safari window when I'm working in a different application. Because some things are often moving around, I often get large "smudges" of image persistence (mainly in the middle of the display) with more recognizable objects in certain places. It's bad enough that sometimes when I'm working in Photoshop I have to move my image around just to figure out if what I'm seeing is image persistence or part of the file I'm working on.
Obviously image persistence is normal for an LCD if an image is left on the screen long enough, but I've never had problems like this in the past. Even if I do something to make it go away, the problem is it seems to come back relatively quickly.
I'm not sure if the brightness of the backlight affects image persistence in any way, but I did notice that bright objects are the ones that "burn" in the most noticeably, and this display is definitely much brighter than displays I've had in the past. So I've tried turning down the brightness—I've had it around 50% for a few weeks now—but I don't think it's made any difference. I didn't think it would but I figured it was worth a shot.
I'd like to take it in to get it looked at, but I just haven't had the time to go through that ordeal. If I knew I could get it fixed I would, but I'd hate to go through a lot of trouble and find out this is basically "normal" for the current 24" iMac.
Here's a photo of my full screen showing a perfectly flat grey image:
http://mikepiontek.com/journal/uploads/misc/imagepersistence01.jpg
You can see there are some darker smudges in the middle and a lot of lines in different directions. Here's a close up of an area in the top left:
http://mikepiontek.com/journal/uploads/misc/imagepersistence02.jpg
You can see there's some legible text with pretty noticeable horizontal lines above and below it. These pictures aren't ideal, it's actually more noticeable in person.
I guess I'll try the all-white screen saver for a while to see if that helps. Perhaps if I completely clear the image persistence I can at least get rid of the dark smudges.