Team geometrica

Overall Objectives
Scientific Foundations
Application Domains
New Results
Contracts and Grants with Industry
Other Grants and Activities

Section: Other Grants and Activities

International initiatives

Associate team TGDA

Participants : Jean-Daniel Boissonnat, Frédéric Chazal, David Cohen-Steiner, Quentin Mérigot, Steve Oudot.

We are involved in an INRIA associated team with the group of Prof. Leonidas Guibas at Stanford University since January 2008. Our collaboration focuses on Topological and Geometric Data Analysis. More precisely, our aim is to develop new topological and geometric frameworks and algorithms for the analysis of data sets represented by point clouds in possibly high-dimensional or non-Euclidean spaces. Several visits took place in 2010 leading to several joint publications. Among the scientific outcomes of this collaboration are a new stability theory for topological persistence, a new analysis method for scalar fields defined over sampled Riemannian manifolds, and a clustering algorithm based on persistence.

Associate team DDGM

Participants : Pierre Alliez, David Cohen-Steiner.

We are involved in an INRIA associate team with Prof. Desbrun's group at Caltech since January 2009. Our goal is to collaborate on topics commonly referred to as Geometry Processing. This year we have exchanged on robust surface reconstruction. In addition to Prof. Desbrun three students from Caltech were involved in the collaboration. We applied for renewal of the associate team for 2011.

Associate team OrbiCG

Participants : Mikhail Bogdanov, Manuel Caroli, Monique Teillaud.

The associate team OrbiCG started in 2009. It is a joint project with two institutes of the University of Groningen: the Institute of Mathematics and Computing Science led by Gert Vegter, and Rien van de Weijgaert from the Kapteyn Astronomical Institute. This research was originally motivated by the needs of astronomers in Groningen who study the evolution of the large scale mass distribution in our universe by running dynamical simulations on periodic 3D data. Our goal is to extend the traditional focus of computational geometry on the Euclidean space Im2 $\#8477 ^d$ ("urbi") to encompass various spaces ("orbi"), in particular orbit spaces of the Euclidean space, of the hyperbolic space, and of the sphere.


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