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  • Conference proceedings
  • © 2006

Algebraic Geometry and Geometric Modeling

Part of the book series: Mathematics and Visualization (MATHVISUAL)

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Table of contents (15 papers)

  1. Front Matter

    Pages I-X
  2. Piecewise approximate implicitization: experiments using industrial data

    • Mohamed F. Shalaby, Jan B. Thomassen, Elmar M. Wurm, Tor Dokken, Bert Jüttler
    Pages 37-51
  3. Computing with parameterized varieties

    • Daniel Lazard
    Pages 53-69
  4. Implicitization and Distance Bounds

    • Martin Aigner, Ibolya Szilágyi, Bert Jüttler, Josef Schicho
    Pages 71-85
  5. Illustrating the classification of real cubic surfaces

    • Stephan Holzer, Oliver Labs
    Pages 119-134
  6. Bézier patches on almost toric surfaces

    • Rimvydas Krasauskas
    Pages 135-150
  7. On parametric surfaces of low degree in P3(C)

    • Mohamed Elkadi, André Galligo, Thi Ha Le
    Pages 151-168
  8. On the intersection with revolution and canal surfaces

    • Mario Fioravanti, Laureano Gonzalez–Vega, Ioana Necula
    Pages 169-183
  9. Elimination in generically rigid 3D geometric constraint systems

    • Jörg Peters, Meera Sitharam, Yong Zhou, JianHua Fan
    Pages 205-216
  10. Minkowski decomposition of convex lattice polygons

    • Ioannis Z. Emiris, Elias P. Tsigaridas
    Pages 217-236
  11. Back Matter

    Pages 249-252

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.

Editors and Affiliations

  • Laboratory J.A. Dieudonné, University of Nice Sophia Antipolis, Nice, France

    Mohamed Elkadi

  • GALAAD, INRIA, BP 93, Sophia Antipolis, France

    Bernard Mourrain

  • Centre of Mathematics for Applications and Department of Mathematics, University of Oslo, Oslo, Norway

    Ragni Piene

Bibliographic Information

Buy it now

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access