Consider an algorithm for generating a triangle mesh interpolating a fixed set of 3D point samples, where the generated triangle set varies depending on some underlying parameters. In this paper we treat such an algorithm as a means of sampling the space of possible interpolant meshes, and then define a more robust algorithm based on drawing multiple such samples from this process and averaging...

The unbeatability of a consensus protocol, introduced by Halpern, Moses and Waarts in [14],is a stronger notion of optimality than the accepted notion of early stopping protocols. Usinga novel knowledge-based analysis, this paper derives the first practical unbeatable consensusprotocols in the literature, for the standard synchronous message-passing model with crashfailures. The...

In group decision making problems, a natural question in the consensus process is how to measure the closeness among experts’ opinions in order to obtain the consensus level. To do so, different approaches have been proposed. For instance, several authors have introduced hard consensus measures varying between 0 (no consensus or partial consensus) and 1 (full consensus or complete agreement). H...

We present a system that detects 3D mirror-symmetric objects in images and then reconstructs their visible symmetric parts. Our detection stage is based on matching mirror symmetric feature points and descriptors and then estimating the symmetry direction using RANSAC. We enhance this step by augmenting feature descriptors with their affinedeformed versions and matching these extended sets of d...

Abstract This work investigates the application of boundary control of the wave equation to achieve leader-induced formation control of a multi-robot network with a chain topology. In contrast to previous related work on controlling formations of single integrator agents, we consider a model for double integrator agents. For trajectory planning, we use the flatness based method for assigning tr...

The fundamental property of strongly monotone systems, and strongly cooperative systems in particular, is the limit set dichotomy due to Hirsch: if x(0) < y(0), then either ω(x) < ω(y), or ω(x) = ω(y) and both sets consist of equilibria. We provide here a counterexample showing that this property need not hold for (non-strongly) cooperative systems.

A model for tracking articulated objects is proposed using a novel 2D revolute-prismatic joint. An extension of the RANSAC and MLESAC algorithms incorporating feature weights is used to perform robust tracking. The models are suitable for tracking certain human body structures. Limbs are modelled as constrained planar patches. A patch can rotate about a joint point that is displaced relative to...