SAGA – Advances in ShApes, Geometry, and Algebra

Results from the Marie Curie Initial Training Network

  • Tor Dokken
  • Georg Muntingh

Part of the Geometry and Computing book series (GC, volume 10)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Tor Dokken, Georg Muntingh
    Pages 1-8
  3. Change of Representation

    1. Front Matter
      Pages 9-9
    2. Oliver J. D. Barrowclough
      Pages 11-37
    3. Ioannis Z. Emiris, Tatjana Kalinka, Christos Konaxis
      Pages 39-51
  4. Geometric Computing: Algebraic Tools

    1. Front Matter
      Pages 75-75
    2. Angelos Mantzaflaris, Bernard Mourrain
      Pages 77-103
    3. Alicia Dickenstein, Ioannis Z. Emiris, Anna Karasoulou
      Pages 105-121
    4. Rimvydas Krasauskas, Severinas Zubė
      Pages 147-166
  5. Algebraic Geometry for CAD Applications

  6. Practical Industrial Problems

    1. Front Matter
      Pages 239-239
    2. I. Adamou, M. Fioravanti, L. Gonzalez-Vega, B. Mourrain
      Pages 241-279
  7. Back Matter
    Pages 319-323

About this book


This book summarizes research carried out in workshops of the SAGA project, an Initial Training Network exploring the interplay of Shapes, Algebra, Geometry and Algorithms.

Written by a combination of young and experienced researchers, the book introduces new ideas in an established context. Among the central topics are approximate and sparse implicitization and surface parametrization; algebraic tools for geometric computing; algebraic geometry for computer aided design applications and problems with industrial applications.

Readers will encounter new methods for the (approximate) transition between the implicit and parametric representation; new algebraic tools for geometric computing; new applications of isogeometric analysis, and will gain insight into the emerging research field situated between algebraic geometry and computer aided geometric design.


algebra computing geometry representation splines

Editors and affiliations

  • Tor Dokken
    • 1
  • Georg Muntingh
    • 2
  1. 1.SINTEF ICTOsloNorway
  2. 2.SINTEF ICTOsloNorway

Bibliographic information