Xavier Pennec


Position

Education

Research interests

My research interest is at the intersection of statistics, differential geometry, computer science and medicine. I am particularly interested in the mathematics involved in computational anatomy: geometric statistics involve statistical computing on Riemannian manifolds and other geometric structures (Lie groups, quotient spaces, stratified spaces, information geometry...). I contributed mathematically grounded methods and algorithms for medical image registration, statistics on shapes, and their translation to clinical research applications. I animated in particular the workshop Mathematical Foundations of Computational Anatomy from 2006 to 2019 and I co-edited in 2020 the first reference book on Riemannian Geometric Statistics in Medical Image Analysis. In 2018, I was awarded the ERC Advanced Grant G-Statistics whose aim is to ground the mathematical foundations of geometric statistics and to exemplify their impact on selected applications in the life sciences.


Publications

Publication record: Google scholar, ResearcherID, Scopus, ORCID, DBLP, Pubmed.

Complete bibliography: On the Epione lab online bibliography or on the open archive hal system.

Riemannian Geometric Statistics in Medical Image Analysis


3rd book of Elsevier and MICCAI Society book series. This book aims at being a complete reference on statistics on Riemannian manifolds and more general nonlinear spaces with applications in medical image analysis. It provides an introduction to the core methodology with 5 chapters and 11 contributed chapters on state-of-the-art methods for applications.

Introduction to Riemannian Geometry and Geometric Statistics: From Basic Theory to Implementation with Geomstats


Nicolas Guigui, Nina Miolane and Xavier Pennec (2023), Foundations and Trends® in Machine Learning: Vol. 16: No. 3, pp 329-493.


Contributions

Geometric Statistics

Manifold-valued image processing, DTI and metrics on SPD, PSD and correlation matrices

Medical image registration

Computational anatomy


Videos of some of my presentations


Conferences and Workshops


Teaching:


Vitae (english)



[Home page] [Epione team home page]


Xavier Pennec