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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Inclusion-exclusion complexes for pseudodisk collections
TL;DR: The existence of a two-dimensional abstract simplicial complex, χ ⊆ 2B, is shown, so the above relation holds even if χ is substituted for 2B and its underlying space is homotopy equivalent to int ⋃ B.
Morse Complexes for Piecewise Linear 3-Manifolds
TL;DR: In this article, the authors define the Morse complex of a Morse function over a 3-manifold as the overlay of the stable and unstable manifolds of all critical points, and give a combinatorial algorithm for constructing such complexes for piecewise linear data.
Journal ArticleDOI
Inclusion-Exclusion Formulas from Independent Complexes
TL;DR: Using inclusion-exclusion, the indicator function of a union of finitely many balls can be written as an alternating sum of indicator functions of common intersections of balls.
Posted Content
Topological Data Analysis with Bregman Divergences
TL;DR: In this paper, the authors show that the framework of topological data analysis can be extended to general Bregman divergences, widening the scope of possible applications, and prove that appropriately generalized Cech and Delaunay (alpha) complexes capture the correct homotopy type, namely that of the corresponding union of bregman balls.
Proceedings ArticleDOI
Design and analysis of planar shape deformation
TL;DR: A software tool for planning, analyzing, and visualizing deformations between two shapes in a two-dimensional shape space that is generated automatically without any user intervention or specification of feature correspondences.