1. A system for determining a three-dimensional location and orientation of an eye within a camera frame of reference, comprising: a camera, wherein the camera captures an image of the eye; an illuminator, wherein the illuminator generates a reflection off of a corneal surface of the eye; a processor, wherein the processor computes a first two-dimensional location of a pupil reflection image and a corneal reflection image from the image of the eye, wherein the processor predicts a second two-dimensional location of a pupil reflection image and the corneal reflection image as a function of a set of three-dimensional position and orientation parameters of the eye within the camera frame of reference, wherein the processor iteratively adjusts the set until the first two-dimensional location is substantially the same as the second two-dimensional location, and wherein the set is the three-dimensional location and orientation of an eye.