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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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Computing Robustness and Persistence for Images

TL;DR: A fast hierarchical algorithm is given using the dual complexes of oct-tree approximations of the function to study 3-dimensional images of plant root systems and the structure of the homology classes and their robustness, over all level and interlevel sets, can be visualized by a triangular diagram of dots.
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Reeb spaces of piecewise linear mappings

TL;DR: The local and global structure of the Reeb space of a multivariate continuous mapping identifies points of the domain that belong to a common component of the preimage of a point in the range.
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Stabbing line segments

TL;DR: An algorithm for the geometric problem of determining a line (called a stabbing line) which intersects each ofn given line segments in the plane and a purely geometric fact is proved which infers that this description requiresO(n) space to be specified.
Proceedings ArticleDOI

Time-varying reeb graphs for continuous space-time data

TL;DR: The evolution of the Reeb graph of a time-varying continuous function defined in three-dimensional space is studied and this data structure is envisioned as a useful tool in visualizing real-valued space-time data obtained from computational simulations of physical processes.
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Triangulations and meshes in computational geometry

TL;DR: This paper connects the predominantly combinatorial work in classical computational geometry with the numerical interest in mesh generation with the two- and three-dimensional case and covers results obtained during the twentieth century.