Polyhedral and Algebraic Methods in Computational Geometry

Joswig, Michael

ISBN 10: 1447148169 / ISBN 13: 9781447148166

Published by Springer 2013-01, 2013

About this Item

Seller Inventory # 6666-IUK-9781447148166

Bibliographic Details

• Title: Polyhedral and Algebraic Methods in Computational Geometry
• Publisher: Springer 2013-01
• Publication Date: 2013
• Language: English
• ISBN 10: 1447148169
• ISBN 13: 9781447148166
• Binding: PF
• Condition: New

About this title

Synopsis

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

From the Back Cover

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 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.