Sotabase

Career

· Professor of Mathematics, Institute of Science and Technology Austria (ISTA)2009–
· Arts & Science Professor of Computer Science and Professor of Mathematics, Duke University1999–2012
· Co-founder, Director, and Principal, Geomagic, Inc.1996–2013
· Assistant, Associate, and Full Professor, University of Illinois at Urbana-Champaign1985–1999
· Ph.D. in Technical Mathematics, Graz University of Technology1982–
· Assistant Professor, Graz University of Technology1981–1985
· Diplom in Mathematics, Graz University of Technology1980–

Publications (368)

Topological Persistence and Simplification
Proceedings 41st Annual Symposium on Foundations of Computer Science · 2000
2,604
cited
Algorithms in Combinatorial Geometry
EATCS Monographs in Theoretical Computer Science · 1987
2,355
cited
Three-dimensional alpha shapes
ACM Transactions on Graphics · 1994
2,056
cited
On the shape of a set of points in the plane
IEEE Transactions on Information Theory · 1983
1,936
cited
Stability of Persistence Diagrams
Discrete & Computational Geometry · 2005
1,661
cited
Persistent Homology — a Survey
1,169
cited
Anatomy of protein pockets and cavities: Measurement of binding site geometry and implications for ligand design
Protein Science · 1998
1,040
cited
Efficient algorithms for agglomerative hierarchical clustering methods
1984
964
cited
Simulation of simplicity: a technique to cope with degenerate cases in geometric algorithms
ACM Transactions on Graphics · 1990
868
cited
Geometry and Topology for Mesh Generation
Cambridge monographs on applied and computational mathematics · 2001
645
cited
Constructing arrangements of lines and hyperplanes with applications
24th Annual Symposium on Foundations of Computer Science (sfcs 1983) · 1983
537
cited
Optimal Point Location in a Monotone Subdivision
SIAM journal on computing (Print) · 1986
504
cited
Incremental topological flipping works for regular triangulations
SCG '92 · 1992
492
cited
The union of balls and its dual shape
SCG '93 · 1993
454
cited
An optimal algorithm for intersecting line segments in the plane
[Proceedings 1988] 29th Annual Symposium on Foundations of Computer Science · 1988
453
cited
Voronoi diagrams and arrangements
SCG '85 · 1985
379
cited
Combinatorial complexity bounds for arrangements of curves and spheres
Discrete & Computational Geometry · 1990
361
cited
Topologically sweeping an arrangement
Symposium on the Theory of Computing · 1986
344
cited
Hierarchical Morse—Smale Complexes for Piecewise Linear 2-Manifolds
Discrete & Computational Geometry · 2003
337
cited
Lipschitz Functions Have Lp-Stable Persistence
Foundations of Computational Mathematics · 2010
330
cited
Sotabase