I believe that what you expect is parallax in fullscreen. Like in my sample here:
http://jsfiddle.net/protron/hLHTP/embedded/result/ (full source here)
I started my copying they target demo and then (inside the CSS) I set the margins to "0" for parallax-port
:
.parallax-port {
position: absolute;
top:0px; bottom:0px; left:0px; right:0px;
}
That's about it. Then I changed the images to the one in their parallax homepage, and changed their cordinates to get a sampler similar to the page you showed (but obviously the images are not big enough for a big screen).