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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

Algorithms in Combinatorial Geometry

TL;DR: This book offers a modern approach to computational geo- metry, an area thatstudies the computational complexity of geometric problems with an important role in this study.
Journal ArticleDOI

Three-dimensional alpha shapes

TL;DR: This article introduces the formal notion of the family of α-shapes of a finite point set in R 3 .
Journal ArticleDOI

On the shape of a set of points in the plane

TL;DR: A generalization of the convex hull of a finite set of points in the plane leads to a family of straight-line graphs, "alpha -shapes," which seem to capture the intuitive notions of "fine shape" and "crude shape" of point sets.
Book

Computational Topology: An Introduction

TL;DR: In this article, the authors present an introduction to the field of computational topology, combining concepts from topology and algorithms, and the main approach is the discovery of topology through algorithms.
Proceedings ArticleDOI

Three-dimensional alpha shapes

TL;DR: This article introduces the formal notion of the family of α-shapes of a finite point set in R, a well-defined polytope, derived from the Delaunay triangulation of the point set, with a parameter α ε R controlling the desired level of detail.