Alain Trouvé

Alain Trouvé is a Professor at the Center for Mathematics and Their Applications (CMLA) within the Ecole Normale Supérieure de Cachan, France. His research focuses on Shape Spaces, Computational Anatomy, Imaging Processing, and Biological Imaging, with applications in medical and computational fields. He directs the Mathematics Department at ENS Cachan and contributes to neuroanatomical studies through diffeomorphometry techniques.

Key roles include membership in the Conseil National des Universités (Section 26) and teaching responsibilities such as courses on Geometry and Shape Spaces and Probability Theory. His work spans from theoretical frameworks (e.g., Hamiltonian modeling of shape evolution) to practical applications like 3D cell imaging and white matter fiber analysis.

Publications emphasize interdisciplinary methods, including diffeomorphic registration, varifold-based image analysis, and stochastic shape evolutions. Current projects explore multi-scale modeling of biological systems and AI-driven medical diagnostics.

• Key Research Themes: Diffeomorphic mappings, computational vision, and functional shape analysis.
• Teaching: Courses on geometric modeling and probability at undergraduate and graduate levels.
• Tools Developed: xIV-LDDMM Toolkit for multi-modal biomedical data analysis.