Multiple-View 3-D Reconstruction using a Mirror
Bo Hu, Christopher C. Brown, Randal C. Nelson · UR Research (University of Rochester) · 2005
We propose a 3-D object reconstruction method using a stationary camera and a planar mirror. No calibration is required. The mirror provides the extra views needed for a multiple-view reconstruction. We examine the imaging geometry of the camera-mirror setup and prove a theorem that gives us the point correspondences to compute the orientation of the mirror. The correspondences are derived from the convex hull of the silhouettes of the images of the object and its mirror reflection. The distance between the mirror and the camera can be then obtained by a single object point and a pair of points on the mirror surface. After the pose of the mirror is determined, we have multiple calibrated views of the object. We show two reconstruction methods that utilize the special imaging geometry. The system setup is simple. The algorithm is fast and easy to implement.