Self-calibration of a 1D projective camera and its application to the self-calibration of a 2D projective camera

We introduce the concept of self-calibration of a 1D projective camera from point correspondences, and describe a method for uniquely determining the two internal parameters of a 1D camera, based on the trifocal tensor of thr ee 1D images. The method requires the estimation of the trifocal tensor whi ch can be achieved linearly with no approximation unlike the trifocal tenso r of 2D images and solving for the roots of a cubic polynomial in one varia ble. Interestingly enough, we prove that a 2D camera undergoing planar moti on reduces to a 1D camera. From this observation, we deduce a new method fo r self-calibrating a 2D camera using planar motions. Both the self-calibrat ion method for a 1D camera and its applications for 2D camera calibration a re demonstrated on real image sequences.