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UID:20251122T013200EST-1130DD2D0T@132.216.98.100
DTSTAMP:20251122T063200Z
DESCRIPTION:Beneath the Surface: Geometry Processing at the Intrinsic/Extri
 nsic Interface.\n\nAlgorithms for analyzing 3D surfaces find application i
 n diverse fields from computer animation to medical imaging\, manufacturin
 g\, and robotics. Reflecting a bias dating back to the early development o
 f differential geometry\, a disproportionate fraction of these algorithms 
 focuses on discovering intrinsic shape properties\, or those measurable al
 ong a surface without considering the surrounding space. This talk will su
 mmarize techniques to overcome this bias by developing a geometry processi
 ng pipeline that treats intrinsic and extrinsic geometry democratically. W
 e describe theoretically-justified\, stable algorithms that can characteri
 ze extrinsic shape from surface representations.\n	\n	In particular\, we wil
 l show two strategies for computational extrinsic geometry.  In our first 
 approach\, we will show how the discrete Laplace-Beltrami operator of a tr
 iangulated surface accompanied with the same operator for its offset deter
 mines the surface embedding up to rigid motion.  In the second\, we will t
 reat a surface as the boundary of a volume rather than as a thin shell\, u
 sing the Steklov (Dirichlet-to-Neumann) eigenproblem as the basis for deve
 loping volumetric spectral shape analysis algorithms without discretizing 
 the interior.\n
DTSTART:20171027T200000Z
DTEND:20171027T210000Z
LOCATION:room 6254\, CA\, Pav. André-Aisenstadt
SUMMARY:Justin Solomon\, MIT
URL:/mathstat/channels/event/justin-solomon-mit-279857
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