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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Book ChapterDOI
Edge Insertion for Optional Triangulations
TL;DR: This paper shows that the edge-insertion paradigm can be used to obtain polynomial time algorithms for several types of optimal triangulations.
Proceedings ArticleDOI
The Multi-cover Persistence of Euclidean Balls
Herbert Edelsbrunner,Georg Osang +1 more
TL;DR: A rhomboid tiling in R^{d+1} whose horizontal integer slices are the order-k Delaunay mosaics of X, and a zigzag module from Delauny mosaics that is isomorphic to the persistence module of the multi-covers is constructed.
Journal ArticleDOI
The Morse theory of \v{C}ech and Delaunay complexes
TL;DR: It is proved that the Cech and Delaunay complexes are simple-homotopy equivalent by a sequence of simplicial collapses, which are explicitly described by a single discrete gradient field.
Journal ArticleDOI
Shape space from deformation
TL;DR: The technical part of this paper focuses on the second task: the specification of a deformation mixing two or more shapes in continuously changing proportions.