Point source localisation is generally modelled as a Lasso-type problem on measures. However, optimisation methods in non-Hilbert spaces, such the space of Radon measures, are much less developed than Hilbert spaces. Most numerical algorithms for point based Frank-Wolfe conditional gradient method, which ad hoc convergence theory developed. We develop extensions proximal-type to spaces This inc...

The dispersion of inertial particles continuously emitted from a point source is analytically investigated in the limit of small inertia. Our focus is on the evolution equation of the particle joint probability density function p(x,v, t), x and v being the particle position and velocity, respectively. For finite inertia, position and velocity variables are coupled, with the result that p(x,v, t...

We present a light position calibration technique based on a general arrangement of at least two reflective spheres in a single image. Contrary to other techniques we do not directly intersect rays for triangulation but instead solve for the optimal light position by evaluating the image-space error of the light highlights reflected from the spheres. This approach has been very successful in th...

This paper analyzed the accuracy of count data estimated by the point-in-polygon method. A point-in-polygon interpolation model was proposed which was based on a stochastic distribution of points and the target zone, in order to represent a variety of situations. The accuracy of estimates was numerically investigated in relation to the size of the target zone and the distribution of points, and...

This project seeks to quantitatively predict TRA performance in shallow ocean environments. Here performance includes: retrofocus field amplitude, location, size, and longevity; and the correlation of the retrofocused signal with the original signal. The intent is to predict these quantities as a function of signal frequency and bandwidth, source-array range, array orientation, noise level, sou...

BACKGROUND 'Place' matters in understanding prevalence variations and inequalities in child maltreatment risk. However, most studies examining ecological variations in child maltreatment risk fail to take into account the implications of the spatial and temporal dimensions of neighborhoods. In this study, we conduct a high-resolution small-area study to analyze the influence of neighborhood cha...