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Broad Area Colloquium For AI-Geometry-Graphics-Robotics-Vision

(CS 528)

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Differential topology and combinatorial algorithms,
and where this unlikely marriage works

Herbert Edelsbrunner

Arts and Sciences Professor of Computer Science and Mathematics

Duke University

Monday, May 3, 2004, 4:15PM

TCSeq 200

`http://graphics.stanford.edu/ba-colloquium/`

#### Abstract

In this talk, I will present some of our recent work in computational topology.
I will introduce concepts from differential topology (Morse functions, Reeb
graphs, Jacobi sets, ...) and algebraic topology (Betti numbers, persistence,
...) and discuss how they can be computed for piecewise linear data. There are
numerous applications of these ideas and I will focus primarily on problems in
structural biology.
#### About the Speaker

Herbert Edelsbrunner received his Ph.D. in Technical Mathematics in 1982 from
the University of Technology in Graz, Austria. He was faculty at the
University of Illinois at Urbana-Champaign from 1985 until he joined Duke
University in 1999. His primary research interests are in algorithms, geometry
and topology, and structural biology. He published two textbooks in
computational geometry. In 1996, he co-founded Raindrop Geomagic, a software
company that specializes in geometric modeling and shape reconstruction from
scan data.

*Contact: *`bac-coordinators@cs.stanford.edu`
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