Universitext

Polyhedral and Algebraic Methods in Computational Geometry

Authors: Joswig, Michael, Theobald, Thorsten

  • Provides a mathematical introduction to linear and non-linear (i.e. algebraic) computational geometry
  • Applies the theory to computer graphics, curve reconstruction and robotics
  • Establishes interconnections with other disciplines such as algebraic geometry, optimization and numerical mathematics
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eBook $54.99
price for USA (gross)
  • ISBN 978-1-4471-4817-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-1-4471-4816-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this Textbook

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.

Reviews

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 applications of geometry and algebra as well as computer scientists and engineers with good mathematical background.” (Antonio Valdés Morales, The European Mathematical Society, September, 2013)

Table of contents (13 chapters)

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-1-4471-4817-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-1-4471-4816-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Polyhedral and Algebraic Methods in Computational Geometry
Authors
Series Title
Universitext
Copyright
2013
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London
eBook ISBN
978-1-4471-4817-3
DOI
10.1007/978-1-4471-4817-3
Softcover ISBN
978-1-4471-4816-6
Series ISSN
0172-5939
Edition Number
1
Number of Pages
X, 250
Number of Illustrations and Tables
50 b/w illustrations, 17 illustrations in colour
Topics