A new algorithm for 3D projective reconstruction based on infinite homography

This paper investigates the problem of how to carry out 3D scene reconstruction from multiple views. It improves the algorithms of projective reconstruction based on the homography induced by the infinite plane which should have 4 points on a reference plane visible in all views given by Hartley and Rother et al., and proposes a new linear algorithm based on 3 points on a reference plane visible in all views. It avoids the difficult task of determining whether 4 object points are coplanar or not, because 3 points which are not collinear just determine a plane.