Geometric Modeling and Algebraic Geometry

Editors: Jüttler, Bert, Piene, Ragni (Eds.)

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  • Book arising from major European project in geometric modeling

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About this book

The two ?elds of Geometric Modeling and Algebraic Geometry, though closely - lated, are traditionally represented by two almost disjoint scienti?c communities. Both ?elds deal with objects de?ned by algebraic equations, but the objects are studied in different ways. While algebraic geometry has developed impressive - sults for understanding the theoretical nature of these objects, geometric modeling focuses on practical applications of virtual shapes de?ned by algebraic equations. Recently, however, interaction between the two ?elds has stimulated new research. For instance, algorithms for solving intersection problems have bene?ted from c- tributions from the algebraic side. The workshop series on Algebraic Geometry and Geometric Modeling (Vilnius 1 2 2002 , Nice 2004 ) and on Computational Methods for Algebraic Spline Surfaces 3 (Kefermarkt 2003 , Oslo 2005) have provided a forum for the interaction between the two ?elds. The present volume presents revised papers which have grown out of the 2005 Oslo workshop, which was aligned with the ?nal review of the European project GAIA II, entitled Intersection algorithms for geometry based IT-applications 4 using approximate algebraic methods (IST 2001-35512) .

Table of contents (12 chapters)

Table of contents (12 chapters)
  • The GAIA Project on Intersection and Implicitization

    Dokken, Tor

    Pages 5-25

  • Some Covariants Related to Steiner Surfaces

    Aries, Franck (et al.)

    Pages 31-46

  • Real Line Arrangements and Surfaces with Many Real Nodes

    Breske, Sonja (et al.)

    Pages 47-54

  • Monoid Hypersurfaces

    Johansen, Pål Hermunn (et al.)

    Pages 55-77

  • Canal Surfaces Defined by Quadratic Families of Spheres

    Krasauskas, Rimvydas (et al.)

    Pages 79-92

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-540-72185-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-3-540-72184-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.99
price for USA in USD
  • ISBN 978-3-642-44551-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Geometric Modeling and Algebraic Geometry
Editors
  • Bert Jüttler
  • Ragni Piene
Copyright
2008
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-72185-7
DOI
10.1007/978-3-540-72185-7
Hardcover ISBN
978-3-540-72184-0
Softcover ISBN
978-3-642-44551-4
Edition Number
1
Number of Pages
VIII, 231
Topics