Sobolev spaces

Thursday, March 26, 2009 - 10:00am - 10:45am
Anthony Yezzi (Georgia Institute of Technology)

We discuss the use of geometric (i.e. formulated exclusively
in terms of a curve's arclength parameter) Sobolev metrics to
devise new gradient flows of curves. We refer to the resulting
evolving contours as Sobolev Active Contours. An interesting
property of Sobolev gradient flows is that they stabilize many
gradient descent processes that are unstable when formulated in
the more traditional L2 sense. Furthermore, the order of the
gradient flow partial differential equation is reduced when
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