We relate three classes of nonpositively curved metric spaces: hierarchically hyperbolic spaces, coarsely injective and strongly shortcut spaces. show that every space admits a new is injective. The quasi-isometric to the original preserved under automorphisms space. uniformly bounded geometry shortcut. Consequently, groups -- including mapping class surfaces are Using these results, we deduce ...

In this paper, we propose a new minimal path model for minimally interactive retinal vessel centerline extraction. The main contribution lies at the construction of a novel coherence-penalized Riemannian metric in a lifted space, dependently of the local geometry of tubularity and an external scalar-valued reference feature map. The globally minimizing curves associated to the proposed metric f...

This paper reports on the results of an experiment comparing two graphical adaptive menus for smartphones in order to improve their hierarchical navigation: “Shortcut Menu” and “Step-by-Step Menu” keep constant the actual presentation of initial menus and overlay them with a prediction window displaying the most frequently used menu items, wherever they are located in the hierarchy. In order to...

Most turbulent flows can not be computed directly from the Navier-Stokes equations, because they possess far too many scales of motion. The computationally almost numberless small scales result from the nonlinear convective term which allows for the transfer of energy from scales as large as the flow domain to the smallest scales that can survive viscous dissipation. In the quest for a simulati...