What is he best known for?
The fields of study he is best known for:
- Geometry
- Combinatorics
- Algorithm
Combinatorics, Discrete mathematics, Convex hull, Randomized algorithm and Convex combination are his primary areas of study.
Raimund Seidel is studying Fortune's algorithm, which is a component of Combinatorics.
His Discrete mathematics study combines topics from a wide range of disciplines, such as Shortest path problem and Point location.
His studies deal with areas such as Upper and lower bounds and Convex polytope as well as Convex hull.
His Randomized algorithm research integrates issues from Linear programming algorithm, Linear programming, Constant and Regular polygon.
His biological study spans a wide range of topics, including Alpha shape, Delaunay triangulation, Shape analysis and Point distribution model.
His most cited work include:
- On the shape of a set of points in the plane (1112 citations)
- Constructing arrangements of lines and hyperplanes with applications (408 citations)
- The ultimate planar convex hull algorithm (338 citations)
What are the main themes of his work throughout his whole career to date?
Raimund Seidel focuses on Combinatorics, Discrete mathematics, Upper and lower bounds, Algorithm and Convex hull.
His Combinatorics research includes elements of Voronoi diagram, Set, Convex polytope and Regular polygon.
His work in the fields of Polytope and Randomized algorithm overlaps with other areas such as Running time.
The various areas that Raimund Seidel examines in his Upper and lower bounds study include Point set, Bounded function, Constant, Space and Plane.
Raimund Seidel interconnects Theoretical computer science, Data structure, Discrete geometry and Rotation in the investigation of issues within Algorithm.
His Convex hull research includes themes of Computational geometry, Alpha shape, Convex set and Convex polygon.
He most often published in these fields:
- Combinatorics (63.72%)
- Discrete mathematics (35.40%)
- Upper and lower bounds (20.35%)
What were the highlights of his more recent work (between 2005-2020)?
- Combinatorics (63.72%)
- Discrete mathematics (35.40%)
- Upper and lower bounds (20.35%)
In recent papers he was focusing on the following fields of study:
His primary areas of investigation include Combinatorics, Discrete mathematics, Upper and lower bounds, Set and Data structure.
His Combinatorics study integrates concerns from other disciplines, such as Plane and Convex hull.
His studies in Convex hull integrate themes in fields like Subderivative, Convex combination and Convex polytope, Convex analysis.
His Discrete mathematics study incorporates themes from Planar, Line segment and Approximation algorithm.
His Upper and lower bounds study also includes
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Polyhedron which is related to area like Absolute value, Null vector and Disjoint sets,
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Shadow together with Polytope and Connected component.
His research on Set also deals with topics like
-
Point which is related to area like Voronoi diagram,
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Algorithm that intertwine with fields like Theoretical computer science and Simple.
Between 2005 and 2020, his most popular works were:
- Reprint of: A simple and fast incremental randomized algorithm for computing trapezoidal decompositions and for triangulating polygons (235 citations)
- Arrangements of curves in the plane- topology, combinatorics, and algorithms (97 citations)
- Computing the link center of a simple polygon (64 citations)
In his most recent research, the most cited papers focused on:
- Geometry
- Algorithm
- Combinatorics
Raimund Seidel spends much of his time researching Combinatorics, Discrete mathematics, Set, Enumeration and Line segment.
His research in Combinatorics intersects with topics in Algorithm and Plane.
His research on Discrete mathematics frequently links to adjacent areas such as Upper and lower bounds.
His Set research is multidisciplinary, incorporating elements of Time complexity and Point.
The concepts of his Line segment study are interwoven with issues in Polygonal chain, Connected component and Randomized algorithm.
His work carried out in the field of Spanning tree brings together such families of science as Preprocessor, Convex hull, Steiner tree problem, Partition and Data structure.
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