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Herbert Edelsbrunner's Home Page
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Biographical Information


Visiting Professor at the Berlin Mathematical School 2007-08
Visiting Professor in the Departement d'Informatique at the Ecole Normale Superieur May-June 2007
Moore Distinguished Scholar in Computer Science at the California Institute of Technology Spring 2006
Visiting Professor at the Lawrence Livermore National Laboratory Spring 2002
Arts and Sciences Professor of Computer Science and Mathematics at Duke University 1999-present
Founder, Principal, and Director, Raindrop Geomagic 1996-present
Visiting Professor in Computer Science at the Hong Kong University of Science and Technology 1994-95
Assistant, Associate, and Full Professor in Computer Science at the University of Illinois at Urbana-Champaign 1985-99
Assistant Professor in Information Processing at the Graz University of Technology 1981-85













I always loved mathematics and in particular geometry. My next favorite subject is philosophy. I like to dream about the space around us and the shapes it contains. How can we understand the unlimited variety of form and how can we grasp the mind-boggling complexity of shapes changing under motion?






My research area are: computational geometry and topology, algorithms and data structures, geometric modeling, and computational structural biology.



 I was born and grew up in Austria. I visited the United States in 1985 and made an overnight decision to leave Austria and come to the US, possibly for a few years. With no time left for planning I accepted the offer from the University of Illinois. I have stayed there until 1999 when I moved to my current position at Duke University.










My spare time interests include listening to music, reading mathematics and sometimes philosophy books, and playing with my daughter.





My wife Ping Fu and I started a company in April 1996. This turns out to be more demanding than we believed although we were warned.
I visited the Hong Kong University of Science and Technology, HKUST, for one academic year in 1994-95. The campus is beautiful and away from the city.



I am very happy with my life, although it gets too busy at times. I love my family and my job.





Post-docs and Students

Yuriy Mileyko did his PhD a the New Jersey Institute of Technology with Denis Blackmore and now works as a postdoc with me on witness complexes and other topological methods to study biological phenomena. I am advising four graduate students at various stages of their program. Dmitriy Morozov works on persistent homology and its various ramifications in topology and biology. Bei Wang works on efficient algorithms for elevation maxima, which are useful in coarse protein docking. Amit Patel works on Reeb sets and the simplification of Jacobi sets.

Research

From 2000 to 2006, we worked on an NSF funded ITR project on bio-geometry, short for ``computational geometry for structural biology and bioinformatics''. In the year 2005, we started two DARPA funded projects. The first is on tda, short for ``algebraic topological tools for high dimensional data analysis and the study of families of shapes''. Under its umbrella we develop algorithms for homology groups, persistence, Morse complexes and more. The second is on funbio, short for ``microstates to macrodynamics: a new mathematics of biology''. It aims at deepening our understanding of broad biological questions through the use of novel mathematical methods. Data analysis with algebraic topology is one of the new methods.

Teaching

In the Summer of 2008 I am teaching a graduate course at the Berlin Mathematical School on Computational Topology.

Software

The Alpha Shapes software is designed to analyze point data in three dimensions. It specializes on molecular conformations, where a molecule is given as a set of atoms and each atom is a sphere given by its center (a point) and radius. For surface reconstruction I recommend Geomagic Wrap instead. I used that software to create the 180 wrapped tubes, which you can download in .stl format and print if you have a layered technology machine.

Publications

I categorized my publications into books and surveys, geometry and biology, triangulations and topology, line and other arrangements, combinatorial geometry, geometric data structures, geometric algorithms.

Contact Information

Email: edels@cs.duke.edu
Home Page: http://www.cs.duke.edu/~edels
Office Location: D203 LSRC
Phone: (919) 660-6545
Fax: (919) 660-6519
USmail: 

   Herbert Edelsbrunner
   Duke University
   Computer Science Department
   Box 90129
   Durham, NC 27708



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