Publications related to Plane curve

Convexly independent subsets of the Minkowski sum of planar point sets

János Pach, Friedrich Eisenbrand, Thomas Rothvoss

Let P and Q be finite sets of points in the plane. In this note we consider the largest cardinality of a subset of the Minkowski sum S ⊆ P⊕Q which consist of convex independent points. We show that, if P and Q contain at most n points, then |S| = O(n^(4/3) ...

American Mathematical Society2008

A geometric characterization of orient at ion-reversing involutions

Hugo Parlier

We give a geometric characterization of compact Riemann surfaces admitting orientation-reversing involutions with fixed points. Such surfaces are generally called real surfaces and can be represented by real algebraic curves with non-empty real part. We sh ...

2008

An algorithm for the recovery of disrupted airline schedules

Michel Bierlaire, Matteo Salani, Niklaus Eggenberg

We consider the recovery of an airline schedule after an unpredicted event, commonly called disruption, that makes the planned schedule unfeasible. In particular we consider the aircraft recovery problem for a heterogeneous fleet of aircrafts, made of regu ...

2008

Geometrical reconstruction of curves and surfaces using NURBS

Sylvain Rouge

The aim of this project is the analysis of different approaches for curve and surface reconstruction and the development of a related MATLAB library. We initially study the Lagrange polynomial interpolation, then the Bezier, the B-splines and the NURBS cur ...

2008

Complex data processing: fast wavelet analysis on the sphere

Yves Wiaux, Jason Douglas McEwen

In the general context of complex data processing, this paper reviews a recent practical approach to the continuous wavelet formalism on the sphere. This formalism notably yields a correspondence principle which relates wavelets on the plane and on the sph ...

2007

Process engineering and failure analysis of MEMS and MOEMS by Digital Holography Microscopy (DHM)

Mihai Adrian Ionescu, Christian Depeursinge, Etienne Cuche, Frédéric Montfort, Nicolas Aspert, Alexander Mehdaoui

Process engineering and failure analysis of MEMS and MOEMS require static and dynamical characterization of both their in-plane and out of plane response to an excitation. A remarkable characteristic of Digital Holography Microscopes (DHM) is the extremely ...

SPIE2007

LONG LIFETIME SYSTEM FOR THE GENERATION OF SURFACE PLASMAS

Pénélope Leyland

The invention concerns a system of electrodes for generating a surface dielectric barrier discharge totally encapsulated in a ceramic dielectric, using co-fireable ceramic technology (ceramic tapes, LTCC, HTCC, green tapes). The plasma generation device ca ...

2007

a-plane GaN grown on r-plane sapphire substrates by hydride vapor phase epitaxy

Nicolas Grandjean, Raphaël Butté, Denis Martin, Tiankai Zhu

Thin a-plane (1 1 2 0) GaN layers have been grown on r-plane (1 1 0 2) sapphire substrates by hydride vapor phase epitaxy (HVPE), using either a single-step high-temperature (HT) growth or a two-step growth method similar to that of metal organic vapor pha ...

2007

Some remarks on the uniformizing function in genus 2

Robert Silhol

The authors propose a numerical method for the uniformization of Riemann surfaces and algebraic curves in genus two with highly accurate results. Let

G

be a Fuchsian group acting on the unit disk

Bbb D

, and let

S = Bbb D / G

. It is well known that $S ...

Kluwer Academic Publishers, Springer2005

Computation of Observability Regions for Piecewise Affine Systems: A Projection-Based Algorithm

Giancarlo Ferrari Trecate

In this paper we consider the problem of computing sets of observable states for discrete-time, piecewise affine systems. When the maximal set of observable states is full-dimensional, we provide an algorithm for reconstructing it up to a zero measure set. ...

2005

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Convexly independent subsets of the Minkowski sum of planar point sets

A geometric characterization of orient at ion-reversing involutions

An algorithm for the recovery of disrupted airline schedules

Geometrical reconstruction of curves and surfaces using NURBS

Complex data processing: fast wavelet analysis on the sphere

Process engineering and failure analysis of MEMS and MOEMS by Digital Holography Microscopy (DHM)

LONG LIFETIME SYSTEM FOR THE GENERATION OF SURFACE PLASMAS

a-plane GaN grown on r-plane sapphire substrates by hydride vapor phase epitaxy

Some remarks on the uniformizing function in genus 2

Computation of Observability Regions for Piecewise Affine Systems: A Projection-Based Algorithm

A geometric characterization of orient at ion-reversing involutions

Convexly independent subsets of the Minkowski sum of planar point sets

Process engineering and failure analysis of MEMS and MOEMS by Digital Holography Microscopy (DHM)

Complex data processing: fast wavelet analysis on the sphere

An algorithm for the recovery of disrupted airline schedules

Geometrical reconstruction of curves and surfaces using NURBS

LONG LIFETIME SYSTEM FOR THE GENERATION OF SURFACE PLASMAS

a-plane GaN grown on r-plane sapphire substrates by hydride vapor phase epitaxy

Some remarks on the uniformizing function in genus 2

Computation of Observability Regions for Piecewise Affine Systems: A Projection-Based Algorithm