What is he best known for?
The fields of study he is best known for:
- Geometry
- Combinatorics
- Algorithm
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 most cited work include:
- Algorithms in Combinatorial Geometry (1867 citations)
- Three-dimensional alpha shapes (1709 citations)
- Computational Topology: An Introduction (1334 citations)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Combinatorics (43.87%)
- Discrete mathematics (21.46%)
- Delaunay triangulation (19.10%)
What were the highlights of his more recent work (between 2013-2021)?
- Combinatorics (43.87%)
- Delaunay triangulation (19.10%)
- Voronoi diagram (9.20%)
In recent papers he was focusing on the following fields of study:
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
- Discrete Morse theory that connect with fields like Topological data analysis, Endomorphism, Homotopy and Homology,
- Integer, Euclidean geometry and Alpha shape most often made with reference to Order,
- Morse theory which is related to area like Radius, Order, Algebraic topology, Field and Topology.
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.
Between 2013 and 2021, his most popular works were:
- Combinatorial Complexity Bounds for Arrangements of Curves and Surfaces (86 citations)
- The Topology of the Cosmic Web in Terms of Persistent Betti Numbers (62 citations)
- A Short Course in Computational Geometry and Topology (48 citations)
In his most recent research, the most cited papers focused on:
- Geometry
- Topology
- Artificial intelligence
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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