A topological analysis on patches of optical flow

The research of optical flow is vitally important topic in computer vision. In this paper we research a topological analysis of space of optical flow locally. We use the methods of computing topology to the spaces of 4 × 4 and 6 × 6 high contrast optical flow patches. We experimentally prove that in both cases there exist subspaces of the spaces of all high contrast optical flow patches that is topologically equivalent to a circle, which states that some results on the topological analysis of natural images and range images can be extended to the scope of image motion.