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CATEGORIES:Theoretical Physics Colloquium
SUMMARY:Discrete conformal mappings and Riemann surfaces -
Alexander Bobenko (Technische Universität Berlin)
DTSTART;TZID=Europe/London:20170222T141500
DTEND;TZID=Europe/London:20170222T151500
UID:TALK68834AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/68834
DESCRIPTION:The general idea of discrete differential geometry
is to find and investigate discrete models that e
xhibit properties and structures characteristic of
the corresponding smooth geometric objects. We fo
cus on a discrete notion of conformal equivalence
of polyhedral metrics. Two triangulated surfaces a
re considered discretely conformally equivalent if
the edge lengths are related by scale factors ass
ociated with the vertices. This simple definition
leads to a surprisingly rich theory. We establish
a connection between conformal geometry for triang
ulated 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.
LOCATION:MR2\, Centre for Mathematical Sciences
CONTACT:Shahar Hadar
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