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Suppose d > 2, n > d+1, and we have a set P of n points in d-dimensional Euclidean space. Then P contains a subset Q of d points such that for any p ∈ P, the convex hull of Q∪{p} does not contain the origin in its interior.We also show that for non-emp ...
This note illustrates how Voronoi diagrams and Delaunay triangula- tions of point sets can be computed by applying parametric linear pro- gramming techniques. We specify parametric linear programming prob- lems that yield the Delaunay triangulation or the ...
Here, I review facts that are most probably known, namely that the information gain criterion used to drive experimental design in a linear-Gaussian model is submodular, so that a well-known approximation guarantee holds for the sequential greedy algorithm ...
In this paper, we introduce the notion of a constrained Minkowski sumwhich for two (finite) point-sets P,Q R2 and a set of k inequalities Ax b is defined as the point-set (P Q)Ax b= x = p+q | P, q Q, Ax b. We show that typical subsequ ...
We present a framework for analyzing shape uncertainty and variability in point-sampled geometry. Our representation is mainly targeted towards discrete surface data stemming from 3D acquisition devices, where a finite number of possibly noisy samples prov ...
When running a fuel cell system in load following mode, several operating points (i.e. a combination of gas flow rates, pressures, humidities, temperatures and current density) can provide the required net power. Typically, only one of those operating poin ...
To extend the understanding of host genetic determinants of HIV-1 control, we performed a genome-wide association study in a cohort of 2,554 infected Caucasian subjects. The study was powered to detect common genetic variants explaining down to 1.3% of the ...
After reviewing the concept of vison excitations in Z(2) dimer liquids, we study the liquid-crystal transition of the quantum dimer model on the triangular lattice by means of a semiclassical spin-wave approximation to the dispersion of visons in the conte ...
Knowledge of the compressive strength evolution of concrete is critical for activities such as stripping formwork, construction scheduling and pre-stressing operations. Although there are several procedures for predicting concrete compressive strength, rel ...
In this paper, we intend to gain an understanding of the interaction of light with microstructures. Measurements of amplitude and phase in the diffracted field close to gratings using a heterodyne scanning probe are presented. Coherent light diffracted by ...