A set of vertices C in a graph is convex if it contains all vertices which lie on shortest paths between vertices in C. The convex hull of a set of vertices S is the smallest convex set containing S. The hull number h(G) of a graph G is the smallest cardinality of a set of vertices whose convex hull is the vertex set of G. For a connected triangle-free graph G of order n and diameter d ≥ 3, we ...

Mal’cev showed in the 1950s that there is a correspondence between radicable torsion-free nilpotent groups and rational nilpotent Lie algebras. In this paper we show how to establish the connection between the radicable hull of a finitely generated torsion-free nilpotent group and its corresponding Lie algebra algorithmically. We apply it to fast multiplication of elements of polycyclically pre...

The research presented in this thesis is targeted towards obtaining high quality novel views of a dynamic scene using video from multiple wide-baseline views, with free-viewpoint video as the main application goal. The research has led to several novel contributions to the 3D reconstruction computer vision literature. The first novel contribution of this work is the exact view-dependent visual ...

Our aim in this paper is to prove geometric characterizations of the free disposal condition for nonconvex economies on infinite dimensional commodity spaces even if the cone and the production set involved in the condition have an empty interior such as in L1 with the positive cone L+. We then use this characterization to prove the existence of Pareto and weak Pareto optimal points. We also ex...

In this paper we describe our effort to automate ship hull inspection for security applications. Our main contribution is a system that is capable of drift-free self-localization on a ship hull for extended periods of time. Maintaining accurate localization for the duration of a mission is important for navigation and for ensuring full coverage of the area to be inspected. We exclusively use on...

Ship motion problem is approached exploiting the assumption of linearity and subdividing forces acting on the hull in different components; in this paper the focus is on the radiation problem. A fully viscous solver, based on the numerical solution of the Navier-Stokes equation through the finite volume technique, is used to calculate radiation forces on hull surface, with non linear free surfa...

Water impacts provide a challenge for wide range of applications, from aerospace, to marine, mechanical and civil engineering, due the complexity conveyed by coexistence impulsive loads, large local deformations high-amplitude vibrations. Thus, need reliable structural health monitoring (SHM) systems is emerging in industrial field fluid-structure interaction (FSI) applications. In this paper, ...

A new characterization of partial boundaries of a free disposal multivariate support, lying near the true support curve, is introduced by making use of large quantiles of a simple transformation of the underlying multivariate distribution. Pointwise empirical and smoothed estimators of the full and partial support curves are built as extreme sample and smoothed quantiles. The extreme-value theo...