3D Reconstruction of Planar Patches Seen by Omnidirectional Cameras

We propose a novel solution for reconstructing planar surface patches from omnidirectional camera images. The theoretical foundation relies on variational calculus, which yields a closed form solution for the normal vector a 3D planar surface patch, when a homography is known between the corresponding image region pairs. The method is quantitatively evaluated on a large set of synthetic data. Experimental results confirm that the method provides good reconstructions in real-time.