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Field name	Details
Dewey Class	516.35
Title	Polyhedral and Algebraic Methods in Computational Geometry ([EBook]) / by Michael Joswig, Thorsten Theobald.
Author	Joswig, Michael
Added Personal Name	Theobald, Thorsten
Other name(s)	SpringerLink (Online service)
Publication	London : Springer
Publication	, 2013.
Physical Details	X, 250 pages : 67 illus., 17 illus. in color. : online resource.
Series	Universitext 0172-5939
ISBN	9781447148173
Summary Note	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 techniquesÂ that refer to polyhedral structures. The authors include a study on algorithms for computing convex hulls as well as the construction of Voronoi diagrams and Delone triangulations. The second part of the book develops the primary concepts of (non-linear) computational algebraic geometry. Here, the book looks at Gröbner bases and solving systems of polynomial equations. The theory is illustrated by applications in computer graphics, curve reconstruction and robotics. Throughout the book, interconnections between computational geometry and other disciplines (such as algebraic geometry, optimization and numerical mathematics) are established. Polyhedral and Algebraic Methods in Computational Geometry is directed towards advanced undergraduates in mathematics and computer science, as well as towards engineering students who are interested in the applications of computational geometry.:
Contents note	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 Uing Gröbner Bases -- Reconstruction of Curves -- Plücker Coordinates and Lines in Space -- Applications of Non-Linear Computational Geometry -- Algebraic Structures -- Separation Theorems -- Algorithms and Complexity -- Software -- Notation.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4471-4817-3
Links to Related Works	Subject References: Algebra . Algebraic Geometry . Algorithms . Convex and Discrete Geometry . Discrete groups . Geometry . Mathematical Applications in Computer Science . Mathematics of Computing . Polygons . Authors: author . Joswig, Michael . Theobald, Thorsten . Corporate Authors: SpringerLink (Online service) . Series: Universitext . Classification: 516.35 . 516.35 (DDC 23) .

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Polyhedral and Algebraic Methods in Computational Geometry

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