Level Set Based Analysis and Fast Algorithms for Surface Evolution

Wednesday, June 7, 2000 - 2:00pm - 3:00pm
Keller 3-180
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.