Two-view geometry and reconstruction under quasi-perspective projection

Abstract

Two-view geometry under quasi-perspective camera model and some new results are reported in the paper. Firstly, we prove that quasi fundamental matrix can be simplified to a special form with six degrees of freedom and it is invariant to any non-singular projective transformation. Secondly, the plane induced homography under quasi-perspective model can be simplified to a special form defined by six degrees of freedom. Quasi homography may be recovered from only two pairs of correspondences with known fundamental matrix. Extensive tests on synthetic and real images are performed to validate the results. © Springer-Verlag 2010.