Back when I was in grad school I was doing a lot of research on graphics, and had come up with an obvious-in-retrospect geometry representation format, which I called an "NMMesh," for an NxM Mesh of points; at the same time, X. Gu at MIT had been working on a similar concept, which he called a "Geometry Image." Of course, I never got around to writing any papers, whereas Gu had, and so his (much better) name caught on. For a few years they were a darling concept in the graphics research community.
Recently I'd been messing around with my research 3D engine for various reasons (mostly of nostalgia), and I came to realize that even now there are several things I had been doing with geometry images that still don't appear to be well-known for them. So, I'd might as well write some of it up.