I did something similar--not as good as these--with a fairly basic set up.
Three color filters; red, green, and blue. A tripod. And a camera capable of multiple exposures. And color film(either slide or negative).
I didn't move the camera but anything in the scene that moved would be imaged in a different color and anything static would be normally colored.
I shot a fountain near where I worked and the water was multi-colored while the fountain itself was brick colored.
You'll need to work out the exposure times; the three exposures will need to be equivalent to. I think I decided the easiest way for me to do it was to take a reading for my scene with f22 and then use that shutter speed and open the lens 3 stops for the red filter (f/8) and 2 stops for the green and blue filters (f/11). So if my meter read, for example, 1/125 @ f/22 I then shot 3 exposures on the same frame; one through the red filter--1/125 @ f/8--and one through the green--1/125 @ f/11--and one through the blue filter--1/125 @ f/11.
You could google "Harris Shutter" and "tri-color camera" and get more info about this technique.
To see a ton of images shot this way search Flickr for "harrisshuttereffect".
Rob