Campuses:

Real-valued functions

Thursday, March 6, 2014 - 10:15am - 11:05am
Elizabeth Munch (University of Minnesota, Twin Cities)
In order to understand the properties of a real-valued function on a topological space, we can study the Reeb graph of that function. The Reeb graph is a construction which summarizes the connectivity of the level sets. Since it is efficient to compute and is a useful descriptor for the function, it has found its place in many applications. As with many other constructions in computational topology, we are interested in how to deal with this construction in the context of noise.
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