Algebraic Geometry and Geometric Modeling

  • Mohamed Elkadi
  • Bernard Mourrain
  • Ragni Piene

Part of the Mathematics and Visualization book series (MATHVISUAL)

Table of contents

  1. Front Matter
    Pages I-X
  2. Mohamed F. Shalaby, Jan B. Thomassen, Elmar M. Wurm, Tor Dokken, Bert Jüttler
    Pages 37-51
  3. Daniel Lazard
    Pages 53-69
  4. Martin Aigner, Ibolya Szilágyi, Bert Jüttler, Josef Schicho
    Pages 71-85
  5. Stephan Holzer, Oliver Labs
    Pages 119-134
  6. Rimvydas Krasauskas
    Pages 135-150
  7. Mohamed Elkadi, André Galligo, Thi Ha Le
    Pages 151-168
  8. Mario Fioravanti, Laureano Gonzalez–Vega, Ioana Necula
    Pages 169-183
  9. Jörg Peters, Meera Sitharam, Yong Zhou, JianHua Fan
    Pages 205-216
  10. Ioannis Z. Emiris, Elias P. Tsigaridas
    Pages 217-236
  11. Back Matter
    Pages 249-252

About these proceedings

Introduction

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.

Keywords

3D algebraic computation algorithm algorithms geometry implicitization linear optimization modeling rendering singularity symbolic-numeric computation topology

Editors and affiliations

  • Mohamed Elkadi
    • 1
  • Bernard Mourrain
    • 2
  • Ragni Piene
    • 3
  1. 1.Laboratory J.A. DieudonnéUniversity of Nice Sophia AntipolisNiceFrance
  2. 2.GALAAD, INRIA, BP 93Sophia AntipolisFrance
  3. 3.Centre of Mathematics for Applications and Department of MathematicsUniversity of OsloOsloNorway

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-33275-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 2006
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-33274-9
  • Online ISBN 978-3-540-33275-6
  • Series Print ISSN 1612-3786
  • About this book