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Item Details
Title: POLYHEDRAL AND ALGEBRAIC METHODS IN COMPUTATIONAL GEOMETRY
By: Michael Joswig, Thorsten Theobald
Format: Paperback

List price: £54.99


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ISBN 10: 1447148169
ISBN 13: 9781447148166
Publisher: SPRINGER LONDON LTD
Pub. date: 4 January, 2013
Edition: 2013 ed.
Series: Universitext
Pages: 250
Description: 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 computer graphics, curve reconstruction and robotics.
Synopsis: 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 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 Grobner 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.
Illustrations: 17 Illustrations, color; 50 Illustrations, black and white; X, 250 p. 67
Publication: UK
Imprint: Springer London Ltd
Returns: Returnable
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