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Mathematics and Visualization

Algebraic Geometry and Geometric Modeling

Editors: Elkadi, Mohamed, Mourrain, Bernard, Piene, Ragni (Eds.)

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eBook $149.00
price for USA in USD (gross)
  • ISBN 978-3-540-33275-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.99
price for USA in USD
  • ISBN 978-3-540-33274-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $219.00
price for USA in USD
  • ISBN 978-3-642-06993-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Algebraic Geometry provides an impressive theory targeting the understanding of geometric objects defined algebraically. Geometric Modeling uses every day, in order to solve practical and difficult problems, digital shapes based on algebraic models. In this book, we have collected articles bridging these two areas. The confrontation of the different points of view results in a better analysis of what the key challenges are and how they can be met. We focus on the following important classes of problems: implicitization, classification, and intersection. The combination of illustrative pictures, explicit computations and review articles will help the reader to handle these subjects.

Table of contents (15 chapters)

  • Algebraic geometry and geometric modeling: insight and computation

    Goldman, Ron

    Pages 1-22

  • Implicitization using approximation complexes

    Chardin, Marc

    Pages 23-35

  • Piecewise approximate implicitization: experiments using industrial data

    Shalaby, Mohamed F. (et al.)

    Pages 37-51

  • Computing with parameterized varieties

    Lazard, Daniel

    Pages 53-69

  • Implicitization and Distance Bounds

    Aigner, Martin (et al.)

    Pages 71-85

Buy this book

eBook $149.00
price for USA in USD (gross)
  • ISBN 978-3-540-33275-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.99
price for USA in USD
  • ISBN 978-3-540-33274-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $219.00
price for USA in USD
  • ISBN 978-3-642-06993-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Algebraic Geometry and Geometric Modeling
Editors
  • Mohamed Elkadi
  • Bernard Mourrain
  • Ragni Piene
Series Title
Mathematics and Visualization
Copyright
2006
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-33275-6
DOI
10.1007/978-3-540-33275-6
Hardcover ISBN
978-3-540-33274-9
Softcover ISBN
978-3-642-06993-2
Series ISSN
1612-3786
Edition Number
1
Number of Pages
X, 252
Number of Illustrations and Tables
25 b/w illustrations, 27 illustrations in colour
Topics