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Distinguished Lecturer Series
Sponsored by the Arthur and Rochelle Belfer
Institute of Mathematics and Computer Science
Professor David Mumford
Division of Applied Mathematics
Brown University
will speak on
Mathematical Approaches to Optimal Deformations
Between Planar Shapes
Abstract
In the last few years, the idea of putting a Riemannian metric on the space of
shapes has been proposed. This space is possibly the simplest infinite
dimensional truly nonlinear space. Psychophysically, it seems as though we have
a quite clear idea of what "similarity" of shapes means, i.e. that we use some
such metric. But THREE families of metrics have arisen, based on three quite
distinct approaches. I will discuss all of them and report on what is known,
though it looks as though we are just beginning the exploration of the geometry
which each brings to shape space.
The lecture will take place in the Dolfi and Lola Ebner Auditorium, on campus
on Tuesday, June 1, 2004
at 11:30
A light lunch will be served after the talk
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