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Miniature curved artificial compound eyes

Dario Floreano, Ramon Pericet Camara, Michal Karol Dobrzynski, Géraud L'Eplattenier

In most animal species, vision is mediated by compound eyes, which offer lower resolution than vertebrate single-lens eyes, but significantly larger fields of view with negligible distortion and spherical aberration, and high temporal resolution in a tiny ...

National Academy of Sciences2013

Multilevel Monte Carlo methods for stochastic elliptic multiscale PDEs

Assyr Abdulle

In this paper Monte Carlo finite element approximations for elliptic homogenization problems with random coefficients, which oscillate on n is an element of N a priori known, separated microscopic length scales, are considered. The convergence of multileve ...

2013

Extensions of a result of Elekes and Rónyai

Frank de Zeeuw

Many problems in combinatorial geometry can be formulated in terms of curves or surfaces containing many points of a cartesian product. In 2000, Elekes and Rónyai proved that if the graph of a polynomial f(x, y) contains cn2 points of an n × n × n cartesia ...

Elsevier2013

An investigation into the water retention behaviour of deformable soils

Lyesse Laloui, Alessio Ferrari, Mathieu Nuth, Simon Salager

The paper presents an experimental and modelling approach for the soil water retention behaviour of two deformable soils. The objective is to investigate the physical mechanisms that govern the soil water retention properties and to propose a constitutive ...

National Research Council Canada2013

Optimization-based solutions to constrained trajectory-tracking and path-following problems

Timm Faulwasser

The prototypical problem in control theory is the stabilization of a set point. When, instead of a set point, a time-varying reference needs to be stabilized, then the problem is called trajectory tracking. Typical examples of trajectory-tracking problems ...

Shaker Verlag2013

Snakes With an Ellipse-Reproducing Property

Michaël Unser, Philippe Thévenaz, Ricard Delgado Gonzalo, Chandra Sekhar Seelamantula

We present a new class of continuously defined parametric snakes using a special kind of exponential splines as basis functions. We have enforced our bases to have the shortest possible support subject to some design constraints to maximize efficiency. Whi ...

IEEE2012

G1 continuous approximate curves on NURBS surfaces

Bailin Deng, Wei Zeng

Curves on surfaces play an important role in computer aided geometric design. In this paper, we present a parabola approximation method based on the cubic reparameterization of rational Bezier surfaces, which generates G1 continuous approximate curves lyin ...

2012

Prym varieties of spectral covers

Tamás Hausel

Given a possibly reducible and non-reduced spectral cover pi: X -> C over a smooth projective complex curve C we determine the group of connected components of the Prym variety Prym(X/C). As an immediate application we show that the finite group of n-torsi ...

Geometry & Topology Publications2012

Fourier Approximation Of Symmetric Ideal Knots

Henryk Gerlach, Mathias Carlen

Enforcing a specific symmetry group on a curve, knotted or not, is not trivial using standard interpolations such as polygons or splines. For a prescribed symmetry group we present a symmetrization process based on a Fourier description of a knot. The pres ...

2012

Fragility Analysis of Existing Unreinforced Masonry Buildings through a Numerical-based Methodology

Pierino Lestuzzi, Amin Karbassi

As an approach to the problem of seismic vulnerability evaluation of existing buildings using the predicted vulnerability method, numerical models can be applied to define fragility curves of typical buildings which represent building classes. These curves ...

2012