In figure 1, suppose we are throwing darts to each of the Cartesian systems. The probability of a dart falling anywhere in the red area is easy to compute when we are dealing with analytical shapes such as a rectangle or a circle; but how do we compute the probability of success in the third case? One approach is the Riemann integration method by separating the whole system into a thin grid and...

This paper presents a simple technique for generating anisotropic surfacetriangulations using unstructured quadrilaterals when the CAD entity canbe mapped to a logical rectangle. Watertightness and geometric qualitymeasures are maintained and are consistent with theCAPRI default tes-sellator. These triangulations can match user specified criteria for chord-height toleran...

This paper presents a simple technique for generating anisotropic surface triangulations using unstructured quadrilaterals when the CAD entity can be mapped to a logical rectangle. Watertightness and geometric quality measures are maintained and are consistent with the CAPRI default tessellator. These triangulations can match user specified criteria for chordheight tolerance, neighbor triangle ...

Copula-based models provide a great deal of flexibility in modelling multivariate distributions, allowing for the specifications marginal distributions separately from dependence structure (copula) that links them to form joint distribution. Choosing class copula is not trivial task and its misspecification can lead wrong conclusions. We introduce novel grid-uniform functions, which dense space...

With technology advancement and increasing popularity of location-aware devices, trajectory data are ubiquitous in the real world. Trajectory corridor, as one of the moving patterns, is composed of concatenated subtrajectory clusters which help analyze the behaviors of moving objects. In this paper we adopt a three-phase approach to discover trajectory corridors using Fréchet distance as a diss...