Concept

Euclidean plane

Related publications (115)

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GenOVa: A computer program to generate orientational variants

Cyril Cayron

A computer program called GenOVa, written in Python, calculates the orientational variants, the operators (special types of misorientations between variants) and the composition table associated with a groupoid structure. The variants can be represented by ...

2007

Weak metrics on Euclidean domains

Marc Troyanov

A weak metric on a set is a function that satisfies the axioms of a metric except the symmetry and the separation axioms. The aim of this paper is to present some interesting weak metrics and to study some of their properties. In particular, we introduce a ...

2007

Existence, cost and robustness of spatial small-world networks

Paolo De Los Rios, Thomas Petermann

Small-world networks embedded in Euclidean space represent useful cartoon models for a number of real systems such as electronic circuits, communication systems, the large-scale brain architecture and others. Since the small-world behavior relies on the pr ...

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

The diffusion of Radon Shape

Victor Panaretos

In 1977, D. G. Kendall [J. Appl. Probab. 28 (1991), no. 1, 225--230; MR1090460 (92f:60135)] considered diffusions of shape induced by independent Brownian motions in Euclidean space. In this paper, we consider a different class of diffusions of shape, indu ...

2006

Second-order hyperbolic S.P.D.E.'s driven by homogeneous Gaussian noise on a hyperplane

Robert Dalang, Olivier Lévêque

We study a class of hyperbolic stochastic partial di®erential equations in Euclidean space, that includes the wave equation and the telegraph equation, driven by Gaussian noise concentrated on a hyperplane. The noise is assumed to be white in time but spat ...

2006

Laplacian Operator, Diffusion Flow and Active Contour on non-Euclidean Images

Jean-Philippe Thiran, Pierre Vandergheynst, Xavier Bresson, Iva Bogdanova Vandergheynst

We propose here some basic approaches to direct processing of the

360^o

-images as we take into consideration the geometry of each one. Obviously, the geometry of each of these images is a consequence of the geometry of the sensor's mirror used. This tech ...

2005

Analysis of a Reputation System for Mobile Ad-Hoc Networks with Liars

Jean-Yves Le Boudec, Jochen Mundinger

Using decentralized reputation systems is a promising approach to ensuring cooperation and fairness in Mobile Ad-Hoc Networks. However, they are vulnerable to liars and robustness has not been analyzed in detail. With our work, we provide a first step to t ...

2005

Eigenregions for Image Classification

Sabine Süsstrunk

For certain databases and classification tasks, analyzing images based on region features instead of image features results in more accurate classifications. We introduce eigenregions, which are geometrical features that encompass area, location and shape ...

Institute of Electrical and Electronics Engineers2004

The lexico-smallest representation of convex polyhedra

Stefano Picozzi

Every convex polyhedron in the Euclidean space

R^d

admits both H- and V-representation. For both formats, a representation is canonical if it is minimal and unique up to some elementary operations. In this paper, we extend the usual definition of canonic ...

2003

The lexico-smallest representation of convex polyhedra

Stefano Picozzi

Every convex polyhedron in the Euclidean space

R^d

2003

Laplacian Operator, Diffusion Flow and Active Contour on non-Euclidean Images

Jean-Philippe Thiran, Pierre Vandergheynst, Xavier Bresson, Iva Bogdanova Vandergheynst

We propose here some basic approaches to direct processing of the

360^o

-images as we take into consideration the geometry of each one. Obviously, the geometry of each of these images is a consequence of the geometry of the sensor's mirror used. This tech ...

2005