Initiative in Innovative Computing @ Harvard
Seminar Series
Wednesday, September 26, 2007; 4:00pm
60 Oxford Street, Room 330
James Sethian, Professor, Department of Mathematics, University of
California at Berkeley
Seminar Title: Advances in Advancing Interfaces: Building
Semiconductors, Inkjet Plotters, Medical Scanners, and Robotic Devices
Abstract:
Propagating interfaces occur in a wide variety of settings, and
include ocean waves, burning flames, and material boundaries. In
addition, problems not thought of as moving interface problems often
can be recast as advancing fronts, including finding robotic
navigation and finding shortest paths on contorted surfaces.
We shall show how to cast these problems as partial differential
equations, and provide the fundamental mathematical, geometric and
algorithmic ideas behind Fast Marching Methods and Level Set Methods.
These methods easily accommodate merging boundaries, three
dimensionsonality, and complex dynamics.
Applications will focus on industrial engineering collaborations
which have led to robust codes for semiconductor manufacturing, the
manufacturing of inkjet plotters for building plasma displays, image
segmentation and tracking in cardiac scanners, and robotic navigation
around obstacles.
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