Xianfeng David Gu

Abstract: The Poincare-Koebe uniformization theorem for Riemann surfaces is a pillar in the last century mathematics. It states that given any Riemannian metric on a connected surface, there exists a complete constant curvature Riemannian metric conformal to the given one. In this talk, the proof for the uniformization theorem on polyhedral surfaces will be explained, and its applications in computer graphics, computer vision, networking and medical imaging fields will be introduced.