A novel framework for single and multiple motion estimation is presented. It is based on a generalized structure tensor that contains blurred products of directional derivatives. The order of differentiation increases with the number of motions but more general linear filters can be used instead of derivatives. From the general framework, a hierarchical algorithm for motion estimation is derive...

We study a propositional bimodal logic consisting of two S4 modalities and [a], together with the interaction axiom scheme 〈a〉 φ → 〈a〉φ. In the intended semantics, the plain is given the McKinsey-Tarski interpretation as the interior operator of a topology, while the labelled [a] is given the standard Kripke semantics using a reflexive and transitive binary relation Ra. The interaction axiom ex...

The semi-analytic theory of tidal shocks proves to be a powerful tool to study tidal interactions of star clusters and satellite galaxies with their massive hosts. New models of the globular cluster evolution employ a combination of analytic estimates, solutions of the FokkerPlanck equation and direct N-body simulations. The models predict large destruction rates for the Galactic globular clust...