What are some applications of computational geometry towards computer vision? I'm interested in both of these topics independently, and wondering some good applications of comp geom within the domain of vision.  What are some nice applications and potential projects of comp geom applied to vision?
Probably the most useful application of computational geometry within computer vision is in the realm of shape analysis/matching and image registration. There's a lot to google here, but you can start with Kendall's book on shape space, and also look at problems of measuring the distance between shapes.