Talk
Abstract:
Level Set Based Analysis and Fast Algorithms
for Surface Evolution
Stanley
Osher
University of California-Los Angeles
Recent advances in the analysis and fast computation of interfaces
(of codimension one and higher) using level set methods will
be discussed. These include
-
The motion of curves in R*3 and on manifolds
- A
generalization of Tsitsiklis' fast marching method for use
in reactive-ion etching and crystal growth.
-
Asymptotic limits of evolving crystalline shapes
-
Variational problems and PDES on implicit surfaces
- The
link between Wulff shapes and Riemann problems for conservation
laws.
The work is joint with many people including: G.
Sapiro, L.T. Cheng, P.Burchard, J. Helmsen, B. Merriman, D.
Peng, M. Kang, H.-K. Zhao, and M.
Bertalmio.
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