Jean Gallier

Jean Gallier is a Professor in the Department of Computer and Information Science at the University of Pennsylvania and a member of the GRASP Laboratory. His research centers on the application of geometric and topological methods to engineering problems, particularly those involving 3D shape, motion, and complex imaging data. Gallier has made significant contributions to smooth surface reconstruction from 3D meshes, exploring geometric frameworks that ensure continuity, fidelity, and stability in shape modeling. He is also deeply involved in mathematical approaches to medical imaging, especially diffusion tensor imaging, where he employs Riemannian geometry to address the challenges posed by non-Euclidean data domains. His work further extends to motion interpolation via Lie groups and similarity transformations, coordinated path planning for unmanned aerial systems, and geometric tools for robotics applications. Gallier’s research integrates rigorous mathematical theory with practical engineering relevance, bridging differential geometry, algebraic topology, and computational methods to develop principled solutions for perception, modeling, and navigation systems.