Multi-frame infinitesimal motion model for the reconstruction of (dynamic) scenes with multiple linearly moving objects

We introduce new small-motion multi-frame equations applicable to the reconstruction of dynamic scenes in which points are allowed to move along straight-line paths with constant velocity. The motion equations apply to both static and dynamic points, thus prior segmentation is not necessary. We present a reconstruction algorithm of camera motion, scene structure, and point trajectories embedded into a multi-frame factorization principle which requires the minimum of 11 images and 7 points (out of which at feast 3 are dynamic).