Space filling curves (SFCs) are widely used in the design of indexes for spatial and temporal data. Clustering is a key metric for an SFC, that measures how well the curve preserves locality in moving from higher dimensions to a single dimension. We present the onion curve, an SFC whose clustering performance is provably close to optimal for cube and nearcube shaped query sets, irrespective of ...

To facilitate the damping matching of dampers for vehicle passive suspensions, this paper proposes an analytical matching method of the optimal piecewise linear damping characteristics curve. Based on the vehicle vibration model, taking the suspension dynamic deflection as the constraint, by the vibration acceleration and the wheel dynamic load, an objective function about the relative damping ...

Human faces are remarkably similar in global properties, including size, aspect ratios, and locations of main features, but can vary considerably in details across individuals, gender, race, or due to facial expression. We propose a novel method for 3D shape recovery of a face from a single image using a single 3D reference model of a different person’s face. The method uses the input image as ...

We show that if H is a Fitting pseudovariety of groups and V is a local pseudovariety of monoids, then LH ©m V is local if either V contains the six element Brandt monoid, or H is a non-trivial pseudovariety of groups closed under extension.

We investigate the behaviour of dark energy using the recently released supernova data of Riess et al. (2004) and a model independent parameterization for dark energy (DE). We find that, if no priors are imposed on Ω0m and h, DE which evolves with time provides a better fit to the SNe data than ΛCDM. This is also true if we include results from the WMAP CMB data. From a joint analysis of SNe+CM...