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.
Papers
More filters
Journal ArticleDOI
The Beauty of Random Polytopes Inscribed in the 2-Sphere
TL;DR: In this article, the authors consider a random set of points on the unit sphere in ℝd, which can be either uniformly sampled or a Poisson point process, and study the fraction of acute facets, the expected intrinsic volumes, the total edge length, and the distance to a fixed point.
Book ChapterDOI
Monotone Edge Sequences in Line Arrangements and Applications (Extended Abstract)
Herbert Edelsbrunner,Emo Welzl +1 more
Journal ArticleDOI
Geometric characterization of the persistence of 1D maps
TL;DR: In this paper , critical points of 1-dimensional maps paired in persistent homology are characterized geometrically and this way get elementary proofs of theorems about the symmetry of persistence diagrams and the variation of such maps.
Journal ArticleDOI
The shape of things to come in computational geometry
TL;DR: Herbert Edelsbrunner, a pioneer of alpha shapes and persistent homology, is using these ground-breaking computational geometry ideas to empower new applications such as cancer detection and modelling as mentioned in this paper .
Flips in Two-dimensional Hypertriangulations
TL;DR: In this paper , the level-k hypertriangulation of n points in the planes is a subdivision induced by the projection of a k-hypersimplex, which is the convex hull of the barycenters of the (k − 1)-dimensional faces of the standard (n − 1)simplex.