I always loved mathematics and in particular geometry and topology.
My next favorite subject is philosophy. I am still curious why we are here.
I have no illustions that we will ever know, but at least I would like to understand
what we are all doing here.
My research evolved from algorithms and data structures to
computational geometry and computational topology.
It might sometimes not be obvious, but I use applications
to determine the direction of my research,
keeping in mind that the most applicable of all is a good theory.
||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 Duke University.
In 2009, I moved to my current position at IST Austria.
My spare time interests include listening to music,
and reading books in mathematics, philosophy, politics, biology, neurobiology,
and on rare occasons a novel.
I co-founded a company in April 1996.
This turns out to be more demanding than I believed although I was warned.
The name simplified from Raindrop Geomagic to Geomagic,
and in 2013, the company was baught by 3D Systems, which is a 3D printing company.
|I decided to join the new
Institute of Science and Technology in Austria, near Vienna, starting
August 2009. This promises to be challenging and invigorating.
IST Austria is an ambitious acadamic start-up near Vienna.
By 2014, we have about 30 research groups in computer science, mathematics,
biology, neuroscience, and physics. More is still to come.
Advising and Teaching
I am currently working with five post-doctoral fellows:
Jan Reininghaus, and
I am advising three graduate students at various stages of their program:
Salman Parsa, and
Currently, I teach a course on
Computational Geometry and Topology with with Uli Wagner,
and in the Fall of 2014, I will co-teach an IST core course on
Shapes and Patterns with Carl-Philip Heisenberg.
In 2011, we started an ESF Research Networking Programme in
Applied Computational Algebraic Topology
that involves research groups from a number of European countries.
Furthermore, I was heading a Russian-funded mega project on ``Discrete and Computational Geometry'',
which aims at building up the mathematical research infrastructure at Yaroslavl State University.
In 2013, we started an FP7 Research Project on
Topological Complex Systems.
Publications and Software
I published three books in the general area of computational geometry and topology,
and a fourth short book will soon be on the market:
A complete list of my publications is given in reverse chronological order.
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.
- H. Edelsbrunner. A Short Course in Computational Geometry and Topology.
Springer, Heidelberg, Germany, 2014.
- H. Edelsbrunner and J. Harer. Computational Topology. An Introduction.
Amer. Math. Soc., Providence, Rhode Island, 2010.
- H. Edelsbrunner. Geometry and Topology for Mesh Generation.
Cambridge Univ. Press, Cambridge, England, 2001.
- H. Edelsbrunner. Algorithms in Combinatorial Geometry.
Springer-Verlag, Heidelberg, Germany, 1987.
Home Page: http://www.ist.ac.at/~edels
Phone: +43 (2243) 9000-3301
Fax: +43 (2243) 9000-2007
Am Campus 1
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