Generalized optical flow in the scale space

Scale space is a natural way to handle multi-scale problem. Yang and Ma considered the correspondence between scales, and proposed optical flow in the scale space. In this paper, we generalized Yang and Ma´s work to generic images. We first generalize the Horn-Schunck algorithm to multidimensional multichannel image sequence. Since the global smoothness constraint for regularization is no longer suitable in general cases, we introduce localized smoothness weight regularization. At last, we apply the proposed method in color image scale-space pullback, together with another localized smoothness trick considering flow density.