Gröbner bases give a nice way to solve many problems in computer vision and robotics. Often these problems involve solving systems of polynomial equations eg. those describing the projection of a point in 3D on the 2D plane of a camera sensor or those describing how the position of a robot component depends on the details of a sequence of articulated joints. [Here](http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.61.9247&rep=rep1&type=pdf)'s a paper that uses such methods to investigate the minimum amount of information to infer properties of cameras, among other things.