Concept

Collineation

Related publications (11)

On the existence of ordinary triangles

Sebastian Urban Stich, Radoslav Fulek, Márton Naszódi

Let P be a finite point set in the plane. A \emph{c-ordinary triangle} in P is a subset of P consisting of three non-collinear points such that each of the three lines determined by the three points contains at most c points of P. Motivated by a question o ...

Elsevier2017

The effect of “objecthood” in the Ebbinghaus illusion

Michael Herzog, Aline Françoise Cretenoud, Einat Rashal

In the Ebbinghaus illusion, observers overestimate the size of a target when it is surrounded by large flakers and compared with a control target surrounded by small flankers. We examined whether “objecthood” – the degree to which an object is a cohesive e ...

2017

Calculus of Variations for Differential Forms

Swarnendu Sil

In this thesis we study calculus of variations for differential forms. In the first part we develop the framework of direct methods of calculus of variations in the context of minimization problems for functionals of one or several differential forms of th ...

EPFL2016

Non-parallel transformations of structural equilibrium

Corentin Jean Dominique Fivet

This paper presents a geometric method to distort statically equilibrated structures into new ones where initial parallelism between bars is not maintained. Among other applications, the method helps increase the diversity of irregular self-stressed tridim ...

IASS2015

Derivation of spin-orbit couplings in collinear linear-response TDDFT: A rigorous formulation

Ivano Tavernelli, Basile Curchod, Thomas James Penfold

Using an approach based upon a set of auxiliary many-electron wavefunctions we present a rigorous derivation of spin-orbit coupling (SOC) within the framework of linear-response time-dependent density functional theory (LR-TDDFT). Our method is based on a ...

2014

Chromatin architectures and hox gene collinearity

Denis Duboule, Daniël Noordermeer

Ever since the observation that collinearity, that is, the sequential activity of Hox genes based on their relative positions within their gene clusters, is conserved throughout most of the animal kingdom, the question has been raised as to what are the un ...

Elsevier Academic Press Inc2013

Phase diagram of the spin-1 Heisenberg model with three-site interactions on the square lattice

Frédéric Mila, Frédéric Alexis Michaud

We study the spin S = 1 antiferromagnetic Heisenberg model on the square lattice with, in addition to the nearest-neighbor interaction, a three-site interaction of the form (S-i . S-j)(S-j . S-k) + H.c. This interaction appears naturally in a strong coupli ...

2013

Combining Geometric and Appearance Priors for Robust Homography Estimation

Pascal Fua, Vincent Lepetit, Mustafa Özuysal

The homography between pairs of images are typically computed from the correspondence of keypoints, which are established by using image descriptors. When these descriptors are not reliable, either because of repetitive patterns or large amounts of clutter ...

2010

Two-dimensional tetramer-cuprate Na5RbCu4(AsO4)4Cl2: phase transitions and AFM order as seen by 87Rb NMR

Wendy Lee Queen

We report the 87Rb NMR results in a recently synthesized Na5RbCu4(AsO4)Cl2. This complex novel two-dimensional (2D) cuprate is an unique magnetic material, which contains layers of coupled Cu4O4 tetramers. In zero applied magnetic field, it orders antiferr ...

2006

Control of Hoxd genes' collinearity during early limb development

Denis Duboule

Hoxd genes are essential for limb growth and patterning. They are activated following a complex transcriptional regulation, leading to expression domains that are collinear in both space and time. To understand the mechanism(s) underlying collinearity, we ...

2006

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