Publications associées à Charge transport properties in dye-sensitized nanostructured TiO2 thin film electrodes studied by photoinduced current transients

Computational Aspects of Jacobians of Hyperelliptic Curves

Nowadays, one area of research in cryptanalysis is solving the Discrete Logarithm Problem (DLP) in finite groups whose group representation is not yet exploited. For such groups, the best one can do is using a generic method to attack the DLP, the fastest ...

EPFL2016

On the Richter-Thomassen Conjecture about Pairwise Intersecting Closed Curves

János Pach, Gábor Tardos

A long-standing conjecture of Richter and Thomassen states that the total number of intersection points between any n simple closed Jordan curves in the plane, so that any pair of them intersect and no three curves pass through the same point, is at least ...

Cambridge Univ Press2016

An Inner-Product Calculus for Periodic Functions and Curves

Michaël Unser, Daniel Andreas Schmitter, Anaïs Laure Marie-Thérèse Badoual

Our motivation is the design of efficient algorithms to process closed curves represented by basis functions or wavelets. To that end, we introduce an inner-product calculus to evaluate correlations and

L _{ 2 }

distances between such curves. In partic ...

2016

Medial axis transformation as a solid modeling representation method for computer aided design software

Paul Xirouchakis, Mihai-Bogdan Lazar, Ian Anthony Stroud, Florian Barras, Guillaume Goualard

A method for achieving a representation of an object within a data structure for a Computer Aided Design system employing a Medial Axis Transformation (MAT), the representation of the object comprising a set of adjacent bounded surface elements called MAT ...

2016

Fibre Products of Supersingular Curves and the Enumeration of Irreducible Polynomials with Prescribed Coefficients

Robert Granger

For any positive integers

n\geq 3, r\geq 1

we present formulae for the number of irreducible polynomials of degree

n

over the finite field

\mathbb{F}_{2^r}

where the coefficients of

x^{n-1}

,

x^{n-2}

and

x^{n-3}

are zero. Our proofs involve coun ...

Elsevier2016

Investigation of interactions in two-dimensional electron gases with angular resolved photoemission spectroscopy

Carola Strasser

In this thesis, angular resolved photoemission spectroscopy (ARPES) is used to study the electronic structure of different two-dimensional electron systems (2DES). This technique is very surface sensitive and the most direct method to probe the surface ban ...

EPFL2015

Constructing reparameterization invariant metrics on spaces of plane curves

Martins Bruveris, Martin Bauer

Metrics on shape spaces are used to describe deformations that take one shape to another, and to define a distance between shapes. We study a family of metrics on the space of curves, which includes several recently proposed metrics, for which the metrics ...

Elsevier2014

Decentralized Self-Selection of Swarm Trajectories: From Dynamical Systems to Robotic Implementation

Francesco Mondada, Max-Olivier Hongler, Guillaume Adrien Sartoretti, Marcelo Elias de Oliveira

In this paper, we present a distributed control strategy, enabling agents to converge onto and travel along a consensually selected curve among a class of closed planar curves. Individual agents identify the number of neighbors within a finite circular sen ...

Springer Verlag2014

Sampling Curves with Finite Rate of Innovation

Thierry Blu, Hanjie Pan, Pier Luigi Dragotti

In this paper, we extend the theory of sampling signals with finite rate of innovation (FRI) to a specific class of two-dimensional curves, which are defined implicitly as the zeros of a mask function. Here the mask function has a parametric representation ...

Institute of Electrical and Electronics Engineers2014

Special Curve Patterns for Freeform Architecture

Bailin Deng

In recent years, freeform shapes are gaining more and more popularity in architecture. Such shapes are often challenging to manufacture, and have motivated an active research field called architectural geometry. In this thesis, we investigate patterns of s ...

Vienna University of Technology2011

Charge transport properties in dye-sensitized nanostructured TiO2 thin film electrodes studied by photoinduced current transients

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Computational Aspects of Jacobians of Hyperelliptic Curves

On the Richter-Thomassen Conjecture about Pairwise Intersecting Closed Curves

An Inner-Product Calculus for Periodic Functions and Curves

Medial axis transformation as a solid modeling representation method for computer aided design software

Fibre Products of Supersingular Curves and the Enumeration of Irreducible Polynomials with Prescribed Coefficients

Investigation of interactions in two-dimensional electron gases with angular resolved photoemission spectroscopy

Constructing reparameterization invariant metrics on spaces of plane curves

Decentralized Self-Selection of Swarm Trajectories: From Dynamical Systems to Robotic Implementation

Sampling Curves with Finite Rate of Innovation

Special Curve Patterns for Freeform Architecture

Computational Aspects of Jacobians of Hyperelliptic Curves

Investigation of interactions in two-dimensional electron gases with angular resolved photoemission spectroscopy

Decentralized Self-Selection of Swarm Trajectories: From Dynamical Systems to Robotic Implementation

Constructing reparameterization invariant metrics on spaces of plane curves

Sampling Curves with Finite Rate of Innovation

Special Curve Patterns for Freeform Architecture

Fibre Products of Supersingular Curves and the Enumeration of Irreducible Polynomials with Prescribed Coefficients

Medial axis transformation as a solid modeling representation method for computer aided design software

An Inner-Product Calculus for Periodic Functions and Curves

On the Richter-Thomassen Conjecture about Pairwise Intersecting Closed Curves