My Dell Studio XPS 16 has been doing this for quite some time...I was hard on this laptop, and it lasted me about 10 months before the screen started doing this. The image you see here isn't static, it flickers, and I can get it to stop if I get the LCD panel in just the right position. Sometimes I have to tap it or flex it a little in order to get it into the sweet spot, but once it's there it's fine.  
 
Unfortunately, I missed the hardware warranty expiration by two weeks. Any ideas? I haven't opened it up to check connections or anything yet, just wondering if this is a common issue or one that someone out there has seen before? Thanks!  
 

When looking for a problem with my XPS M1530 I found out there is a known issue with the graphics card in mine. If you have the same card you get an extended 2 year warranty with it so look into that.

problems of that nature tend to be the graphics card and not the monitor or lcd screen. Source gives screwed up signal, the screen just displays screwed up image. Hopefully you ain't got no integrated graphics on your rig and instead have an actual graphics card to potentially replace. 

Seems like you have one of the following: 
 
Most likely: corrupted graphics software 
 
OR: Damaged video card / components 
 
Nothing is likely wrong with your screen. It's also entirely possible that your cabling is simply loose inside the machine too.

" @StaticFalconar: It's a Mobility Radeon HD3870 or something like that. Is that replaceable?  "