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Algorithmic Geometry

Index Algorithmic Geometry

Algorithmic Geometry is a textbook on computational geometry. [1]

Table of Contents

  1. 20 relations: Algorithm, Arrangement of hyperplanes, Cambridge University Press, Computational complexity theory, Computational geometry, Convex hull, Convex hull algorithms, Data structure, Delaunay triangulation, French language, Jean-Daniel Boissonnat, Linear programming, London Mathematical Society, Mariette Yvinec, Mathematical Reviews, Peter McMullen, Point-set triangulation, Randomized algorithm, Voronoi diagram, ZbMATH Open.

Algorithm

In mathematics and computer science, an algorithm is a finite sequence of mathematically rigorous instructions, typically used to solve a class of specific problems or to perform a computation.

See Algorithmic Geometry and Algorithm

Arrangement of hyperplanes

In geometry and combinatorics, an arrangement of hyperplanes is an arrangement of a finite set A of hyperplanes in a linear, affine, or projective space S. Questions about a hyperplane arrangement A generally concern geometrical, topological, or other properties of the complement, M(A), which is the set that remains when the hyperplanes are removed from the whole space.

See Algorithmic Geometry and Arrangement of hyperplanes

Cambridge University Press

Cambridge University Press is the university press of the University of Cambridge.

See Algorithmic Geometry and Cambridge University Press

Computational complexity theory

In theoretical computer science and mathematics, computational complexity theory focuses on classifying computational problems according to their resource usage, and relating these classes to each other.

See Algorithmic Geometry and Computational complexity theory

Computational geometry

Computational geometry is a branch of computer science devoted to the study of algorithms which can be stated in terms of geometry.

See Algorithmic Geometry and Computational geometry

Convex hull

In geometry, the convex hull, convex envelope or convex closure of a shape is the smallest convex set that contains it. Algorithmic Geometry and convex hull are computational geometry.

See Algorithmic Geometry and Convex hull

Convex hull algorithms

Algorithms that construct convex hulls of various objects have a broad range of applications in mathematics and computer science.

See Algorithmic Geometry and Convex hull algorithms

Data structure

In computer science, a data structure is a data organization, and storage format that is usually chosen for efficient access to data.

See Algorithmic Geometry and Data structure

Delaunay triangulation

In computational geometry, a Delaunay triangulation or Delone triangulation of a set of points in the plane subdivides their convex hull into triangles whose circumcircles do not contain any of the points.

See Algorithmic Geometry and Delaunay triangulation

French language

French (français,, or langue française,, or by some speakers) is a Romance language of the Indo-European family.

See Algorithmic Geometry and French language

Jean-Daniel Boissonnat

Jean-Daniel Boissonnat (born 18 May 1953) is a French computer scientist, who works as a director of research at the French Institute for Research in Computer Science and Automation (INRIA).

See Algorithmic Geometry and Jean-Daniel Boissonnat

Linear programming

Linear programming (LP), also called linear optimization, is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements and objective are represented by linear relationships.

See Algorithmic Geometry and Linear programming

London Mathematical Society

The London Mathematical Society (LMS) is one of the United Kingdom's learned societies for mathematics (the others being the Royal Statistical Society (RSS), the Institute of Mathematics and its Applications (IMA), the Edinburgh Mathematical Society and the Operational Research Society (ORS).

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Mariette Yvinec

Mariette Yvinec is a French researcher in computational geometry at the French Institute for Research in Computer Science and Automation (INRIA) in Sophia Antipolis.

See Algorithmic Geometry and Mariette Yvinec

Mathematical Reviews

Mathematical Reviews is a journal published by the American Mathematical Society (AMS) that contains brief synopses, and in some cases evaluations, of many articles in mathematics, statistics, and theoretical computer science.

See Algorithmic Geometry and Mathematical Reviews

Peter McMullen

Peter McMullen (born 11 May 1942) is a British mathematician, a professor emeritus of mathematics at University College London.

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Point-set triangulation

A triangulation of a set of points \mathcal in the Euclidean space \mathbb^d is a simplicial complex that covers the convex hull of \mathcal, and whose vertices belong to \mathcal.

See Algorithmic Geometry and Point-set triangulation

Randomized algorithm

A randomized algorithm is an algorithm that employs a degree of randomness as part of its logic or procedure.

See Algorithmic Geometry and Randomized algorithm

Voronoi diagram

In mathematics, a Voronoi diagram is a partition of a plane into regions close to each of a given set of objects. Algorithmic Geometry and Voronoi diagram are computational geometry.

See Algorithmic Geometry and Voronoi diagram

ZbMATH Open

zbMATH Open, formerly Zentralblatt MATH, is a major reviewing service providing reviews and abstracts for articles in pure and applied mathematics, produced by the Berlin office of FIZ Karlsruhe – Leibniz Institute for Information Infrastructure GmbH.

See Algorithmic Geometry and ZbMATH Open

References

[1] https://en.wikipedia.org/wiki/Algorithmic_Geometry