Recovery of epipolar geometry as a manifold fitting problem

The introduction of the joint image manifold allows to treat the problem of recovering camera motion and epipolar geometry as the problem of fitting a manifold to the data measured in a stereo pair. The manifold has a singularity and boundary, therefore care must be taken when fitting it. This paper reviews the notion of joint image manifold, and how previous motion recovery methods can be viewed in its context, and then offers a new fitting method, which improves upon previous results, especially when the extent of the data and/or the motion are small.