Video of my Talk at GSI 2017

Audience : Mathematicians and Computer Scientists. Subject : Shape Analysis

Riemannian metrics on Shape Spaces of curves and surfaces

The aim of the talk is to give an overview of geometric tools used in Shape Analysis. We will see that we can interpret the Shape space of (unparameterized) curves (or surfaces) either as a quotient space or as a section of the Preshape space of parameterized curves (or surfaces). Starting from a diffeomorphism-invariant Riemannian metric on Preshape space, these two different interpretations lead to different Riemannian metrics on Shape space. Another possibility is to start with a degenerate Riemannian metric on Preshape space, with degeneracy along the orbits of the diffeomorphism group. This leads to a framework where the length of a path of curves (or surfaces) does not depend on the parameterizations of the curves (or surfaces) along the path. Of course the choice of the metrics has to be motivated either from the applications or from their mathematical behaviour. We will compare some natural metrics used in the litterature.

Special session on Gender Equality in Science at GSI 2017

Audience : anyone. Subject : Diversity leads to innovation

Valérie Archambault : Gender Diversity in Industry : Overview of the situation, motivation and areas for action - France

Valérie Archambault is Deputy Research Director for Corporate Relations at MINES ParisTech - Ecole des mines de Paris. She describes the situation of women in science.

Nina Miolane : Women, diversity, science and unconscious Bias

Nina Miolane is a researcher on Geometric Statistics for Medical Image Analysis, at Inria (France) and a consultant for the start-up Bay Labs. She explains how unconscious bias govern a lot of our reactions.

Teaching Videos

Audience : undergraduate students. Subject : Linear Algebra

Dimension finie - Partie 1 : Famille libre

Dimension finie - partie 2 : famille génératrice

Dimension finie - partie 3 : base

Dimension finie - partie 4 : dimension

Dimension finie - partie 5 : sous-espaces vectoriels

Some useful links…