Structure from Motion of Parallel Lines

We investigate the camera geometry of lines parallel in the world. In particular, we formalize the known rotational constraints and add new linear constraints on camera position. The constraints on camera position do not require the cameras to be viewing the same lines, thus providing applications for occluded scenes and calibration of cameras for which fields of view do not intersect. The constraints can also be viewed as constraints of camera geometry with planar patch coordinate systems, and provide a way to investigate texture in a deeper way than has been done to date.