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Polyhedral and algebraic methods in computational geometry

Author: Michael Joswig; Thorsten Theobald
Publisher: London : Springer, 2013.
Series: Universitext.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
Polyhedral and Algebraic Methods in Computational Geometry provides a thorough introduction into algorithmic geometry and its applications. It presents its primary topics from the viewpoints of discrete, convex and elementary algebraic geometry. The first part of the book studies classical problems and techniques that refer to polyhedral structures. The authors include a study on algorithms for computing convex  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Joswig, Michael.
Polyhedral and Algebraic Methods in Computational Geometry.
Dordrecht : Springer, ©2012
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Michael Joswig; Thorsten Theobald
ISBN: 9781447148173 1447148177
OCLC Number: 823729145
Description: 1 online resource (250 pages).
Contents: Introduction and Overview --
Geometric Fundamentals --
Polytopes and Polyhedra --
Linear Programming --
Computation of Convex Hulls --
Voronoi Diagrams --
Delone Triangulations --
Algebraic and Geometric Foundations --
Gröbner Bases and Buchberger's Algorithm --
Solving Systems of Polynomial Equations Using Gröbner Bases --
Reconstruction of Curves --
Plücker coordinates and lines in space --
Applications of non-linear computational geometry.
Series Title: Universitext.
Other Titles: Algorithmische Geometrie.
Responsibility: Michael Joswig, Thorsten Theobald.
More information:

Abstract:

This book provides a mathematical introduction into algorithmic geometry with applications to robotics and computer graphics, from classical problems to Grobner bases. Illustrated by applications in  Read more...

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From the reviews: "The authors discuss in the book a selection of linear and non-linear topics in computational geometry. ... The book's audience is made up of mathematicians interested in Read more...

 
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