Conference abstracts

Session A4 - Computational Geometry and Topology

July 12, 17:00 ~ 17:25 - Room B7

Discrete uniformization for polyhedral surfaces and its convergence

Feng Luo

Rutgers University at New Brunswick, USA   -

We will discuss our work on discrete conformal geometry of polyhedral surfaces. A notion of discrete conformal equivalence of polyhedral surfaces is introduced and a discrete version of the uniformization theorem for compact polyhedral surfaces is established. We show that the discrete conformality is algorithmic and converges to the smooth conformal geometry. Applications to computer graphics will be addressed.

Joint work with David Gu, Jian Sun, and Tianqi Wu..

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