Research

Follow these links for more details on my research projects and publications.

• Statistical properties of Markov Random Fields
• Image analysis
• Shape Analysis and Computational Anatomy
• Spaces of Plane Curves
• Diffeomorphic Mapping and Shape Analysis
• Invariant metrics on diffeomorphisms groups
• Constrained and hybrid metrics
• Statistical methods on shape spaces
• Mechanistic models
• Metamorphosis
• Diffeomorphic Mapping in Medical Imaging
  
• Diffeomorphic learning

(You can also click here to access an up-to-date list of publications on Google Scholar.)

The second edition of my book: Shapes and Diffeomorphisms was published in 2019 by Springer.

Lecture notes from the machine learning, graphical models and optimization course (and more) are bundled in the book project: Introduction to Machine Learning (updated May 13, 2025). The book is also available on the arXiv as arXiv:2409.02668 and can be cited as such (the version on this page is updated more often than the arXiv version).

You can download (without guarantee!) various LDDMM functions as a python package : pyLDDMM .