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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The Density Fingerprint of a Periodic Point Set
TL;DR: In this paper, the authors model a crystal as a periodic point set and present a fingerprint consisting of density functions that facilitates the efficient search for new materials and material properties, and prove invariance under isometries, continuity and completeness in the generic case.
Journal ArticleDOI
Functionals on Triangulations of Delaunay Sets
TL;DR: In this article, the densities of functionals over uniformly bounded triangulations of a Delaunay set of vertices were studied, and it was shown that the minimum is attained for the Delaunain triangulation if this is the case for finite sets.
Proceedings ArticleDOI
Topological Data Analysis in Information Space.
TL;DR: Instead of using the standard Euclidean distance, this work looks into dissimilarity measures with information-theoretic justification, and develops the theory needed for applying topological data analysis in this setting.
Book ChapterDOI
Computing Elevation Maxima by Searching the Gauss Sphere
TL;DR: An algorithm for finding all local maxima on a smoothly embedded 2-manifold by Transporting the concept from the smooth to the piecewise linear category, its performance in practice is orders of magnitudes superior.