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SUMMARY:Discrete conformal mappings and Riemann surfaces - Alexander Boben
 ko (Technische Universität Berlin)
DTSTART:20170222T141500Z
DTEND:20170222T151500Z
UID:TALK68834@talks.cam.ac.uk
CONTACT:Shahar Hadar
DESCRIPTION:The general idea of discrete differential geometry is to find 
 and investigate discrete models that exhibit properties and structures cha
 racteristic of the corresponding smooth geometric objects. We focus on a d
 iscrete notion of conformal equivalence of polyhedral metrics. Two triangu
 lated surfaces are considered discretely conformally equivalent if the edg
 e lengths are related by scale factors associated with the vertices. This 
 simple definition leads to a surprisingly rich theory. We establish a conn
 ection between conformal geometry for triangulated surfaces\, the geometry
  of ideal hyperbolic polyhedra and  discrete uniformization of Riemann sur
 faces. Applications in geometry processing and computer graphics will be d
 emonstrated. Fragments from a new movie "conform!" will be shown. 
LOCATION:MR2\, Centre for Mathematical Sciences
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