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SAGA – Advances in ShApes, Geometry, and Algebra

Results from the Marie Curie Initial Training Network

  • Book
  • © 2014

Overview

  • Gathers results of workshops in the SAGA Project, held between March, 2010 and October, 2012
  • Presents the work of both young researchers and experienced experts
  • Discusses such topics as approximate and sparse implicitization and surface parametrization; algebraic tools for geometric computing and more

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

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Table of contents (15 chapters)

  1. Change of Representation

  2. Geometric Computing: Algebraic Tools

  3. Algebraic Geometry for CAD Applications

  4. Practical Industrial Problems

Keywords

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.

Editors and Affiliations

  • SINTEF ICT, Oslo, Norway

    Tor Dokken, Georg Muntingh

Bibliographic Information

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