Multiple stacked planes image distortion (Noisey Images effect) The youtuber Noisey Images does this really cool effect where tiles that slightly distort still images as they and the camera moves through space. 

Here's his newest video, he uses the effect with two photos at 1:03-1:10. 

This is a still of the effect



Now i've got a couple of ideas of how to do the effect but not sure how to go about doing them:

One being applying a texture that produce large squares and apply it to the image. Then using a displace node to shift the large squares (multiple stacked planes) around. This is going off a tutorial I followed by PartnersInCrime youtuber: https://www.youtube.com/watch?v=F7rHopldBPI

However this was done in Cycles and since I'm more comfortable with the Blender Render layout i'd preferably want to do it in that.

If that doesn't work then I was thinking of adding lots of planes in the 3D view with the image behind in the background. Then add a texture that magnifies the image behind it sort of like a magnifying glass.

Again, I don't if any of this is at all possible as i'm still pretty new to everything blender but I'm sure that with the help of you guys and gals out there i'll make something half decent!

Cheers for any help.

So far I've tried UV mapping the desired part of the image using a plane but it just highlights the whole of the image in the UV/Image editor:



I've yet to try the UV project modifier to see if it works but i'll append images if that doesn't work as well.
A way to achieve a similar effect is the following:


Use several planes or parts of planes
One on background with the full image
Others with marks or dust and an alpha transparency
Others which cover only a part of the original image and moving between the background and the camera


low quality gif here...


The animation is the following. Planes are simply moving and/or scaling in face of the camera. 



Two materials are used:


A simple texture on one plane





A texture with transparency for others




The plane UV are adapted to cut parts of the images where needed (you can adapt depending on what you want):