2022 - Research.com Computer Science in Austria Leader Award
2022 - Research.com Mathematics in Austria Leader Award
2018 - Wittgenstein Award
2014 - European Association for Theoretical Computer Science (EATCS) Fellow For his tremendous impact on the field of computational geometry
2009 - Member of Academia Europaea
2008 - German National Academy of Sciences Leopoldina - Deutsche Akademie der Naturforscher Leopoldina – Nationale Akademie der Wissenschaften Informatics
2005 - Fellow of the American Academy of Arts and Sciences
His primary areas of study are Combinatorics, Discrete mathematics, Computational geometry, Algorithm and Voronoi diagram. His research integrates issues of Upper and lower bounds, Plane, Line segment and Finite set in his study of Combinatorics. His Discrete mathematics research includes themes of Function, Piecewise linear function, Combinatorial complexity and Point set triangulation.
His Computational geometry study combines topics in areas such as Intersection, Rectangle, Simple, Triangulation and Space. His work deals with themes such as Polytope, Point, Topology and Discrete geometry, which intersect with Algorithm. He has researched Voronoi diagram in several fields, including Measure, Computation, Euclidean space and Metric.
His main research concerns Combinatorics, Discrete mathematics, Delaunay triangulation, Algorithm and Computational geometry. The study incorporates disciplines such as Plane, Convex hull, Finite set, Voronoi diagram and Upper and lower bounds in addition to Combinatorics. The various areas that he examines in his Convex hull study include Convex polytope and Convex set.
His Discrete mathematics research is multidisciplinary, incorporating perspectives in Function, Piecewise linear function, Persistent homology and Metric. As a part of the same scientific family, Herbert Edelsbrunner mostly works in the field of Algorithm, focusing on Space and, on occasion, Point. His Computational geometry research includes elements of Theoretical computer science and Topology.
His scientific interests lie mostly in Combinatorics, Delaunay triangulation, Voronoi diagram, Discrete mathematics and Finite set. Herbert Edelsbrunner integrates Combinatorics with Poisson point process in his study. His study on Delaunay triangulation also encompasses disciplines like
Herbert Edelsbrunner works mostly in the field of Alpha shape, limiting it down to concerns involving Construct and, occasionally, Algorithm. He combines subjects such as Centroidal Voronoi tessellation, Computational complexity theory, Degree, Weighted Voronoi diagram and Dual polyhedron with his study of Discrete mathematics. His study in Finite set is interdisciplinary in nature, drawing from both Plane, Uniform boundedness and Alpha.
Herbert Edelsbrunner mostly deals with Delaunay triangulation, Combinatorics, Discrete mathematics, Voronoi diagram and Morse theory. His biological study spans a wide range of topics, including Discrete Morse theory, Filtration, Order and Finite set. His Combinatorics study incorporates themes from Plane, Lattice and Diagonal.
His Discrete mathematics research is multidisciplinary, relying on both Computational complexity theory, Bowyer–Watson algorithm, Correctness, Constrained Delaunay triangulation and Digital geometry. His studies in Voronoi diagram integrate themes in fields like Point set triangulation, Pitteway triangulation and Topology. His Morse theory research incorporates themes from Algebraic topology, Radius, Field, Topology and Structure formation.
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Algorithms in Combinatorial Geometry
Three-dimensional alpha shapes
Herbert Edelsbrunner;Ernst P. Mücke.
ACM Transactions on Graphics (1994)
Topological persistence and simplification
H. Edelsbrunner;D. Letscher;A. Zomorodian.
foundations of computer science (2000)
Computational Topology: An Introduction
Günter Rote;Gert Vegter.
On the shape of a set of points in the plane
H. Edelsbrunner;D. Kirkpatrick;R. Seidel.
IEEE Transactions on Information Theory (1983)
Anatomy of protein pockets and cavities: Measurement of binding site geometry and implications for ligand design
Jie Liang;Herbert Edelsbrunner;Clare Woodward.
Protein Science (1998)
Stability of Persistence Diagrams
David Cohen-Steiner;Herbert Edelsbrunner;John Harer.
Discrete and Computational Geometry (2007)
Geometry and Topology for Mesh Generation
H Edelsbrunner;DJ Benson.
Simulation of simplicity: a technique to cope with degenerate cases in geometric algorithms
Herbert Edelsbrunner;Ernst Peter Mücke.
ACM Transactions on Graphics (1990)
Efficient algorithms for agglomerative hierarchical clustering methods
William H. E. Day;Herbert Edelsbrunner.
Journal of Classification (1984)
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