H
Herbert Edelsbrunner
Researcher at Institute of Science and Technology Austria
Publications - 389
Citations - 36345
Herbert Edelsbrunner is an academic researcher from Institute of Science and Technology Austria. The author has contributed to research in topics: Delaunay triangulation & Voronoi diagram. The author has an hindex of 84, co-authored 377 publications receiving 33877 citations. Previous affiliations of Herbert Edelsbrunner include University of Illinois at Urbana–Champaign & Duke University.
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Minimum polygonal separation
TL;DR: It is shown that for k = Θ(n), Ω(n log n) is a lower bound to the running time of any algorithm for this problem, and exhibit two algorithms of distinctly different flavors.
Book
The complexity of many cells in arrangements of planes and related problems
TL;DR: The maximum number of faces boundingm distinct cells in an arrangement ofn planes is O(m2/3n logn +n2); the authors can calculatem such cells specified by a point in each, in worst-case timeO(m3/5−δn4/5+2δ+m+n logm), for any collection of points no three of which are collinear.
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On the equivalence of some rectangle problems
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Fast software for box intersections
TL;DR: This work presents fast implementations of a hybrid algorithm for reporting box and cube intersections that initially takes a divide-and-conquer approach and switches to simpler algorithms for low numbers of boxes.
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Cutting dense point sets in half
TL;DR: This work proves bounds on the number of halving hyperplanes under the condition that the ratio of largest over smallest distance between any two points is at most δn(1/d), δ some constant.