A Compact Algorithm for Rectification of Stereo Pairs 论文

摘要

. We present a linear rectification algorithm for general, unconstrained stereo rigs. The algorithm takes the two perspective projection matrices of the original cameras, and computes a pair of rectifying projection matrices. It is compact (22-line MATLAB code) and easily reproducible. To maximize usefulness, we have made its implementation available on the WWW. We report tests proving the correct behavior of our method, as well as the negligible decrease of the accuracy of 3-D reconstruction performed from the rectified images directly. Key words: stereo, epipolar geometry, rectification 1 Introduction and motivations Given a pair of stereo images, rectification determines a transformation of each image plane such that pairs of conjugate epipolar lines become collinear and parallel to one of the image axes (usually the horizontal one). The rectified images can be thought of as acquired by a new stereo rig, obtained by rotating the original cameras. The important advantage of rectif...