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Alexander Bobenko (TU Berlin) "Discrete conformal mappings and Riemann surfaces"
by Egor Pifagorov - Wednesday, 14 January 2015, 07:53 PM
Коллоквиум лаборатории Чебышева

Внимание! Необычный день!

В пятницу 23 января в 17:00 в ауд. 14 (14-ая линия В.О., д. 29) состоится лекция

Alexander Bobenko (TU Berlin)

"Discrete conformal mappings and Riemann surfaces"

Abstract: The general idea of discrete differential geometry is to find
and investigate discrete models that exibit properties and structures
characterisitic of the corresponding smooth geometric objects. We focus
on a discrete notion of conformal equivalence of polyhedral metrics. Two
triangulated surfaces are considered discretely conformally equivalent
if the edge lengths are related by scale factors associated with the
vertices. This simple definition leads to a surprisingly rich theory.
We establish a connection between conformal geometry for triangulated
surfaces, the geometry of ideal hyperbolic polyhedra and discrete
uniformization of Riemann surfaces. Applications in geometry processing
and computer graphics will be demonstrated. Fragments from a new movie
"Conform!" will be shown.

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