Quasi-Euclidean uncalibrated epipolar rectification

Abstract

This paper deals with the problem of epipolar rectification in the uncalibrated case. First the calibrated (Euclidean) case is recognized as the ideal one, then we observe that in that case images are transformed with a collineation induced by the plane at infinity, which has a specific structure. That structure is therefore imposed to the sought transformation while minimizing the rectification error. Experiments show that this method yields images that are remarkably close to the ones produced by Euclidean rectification.