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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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.
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Keywords
Table of contents (15 chapters)
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Change of Representation
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Geometric Computing: Algebraic Tools
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Algebraic Geometry for CAD Applications
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Practical Industrial Problems
Editors and Affiliations
Bibliographic Information
Book Title: SAGA – Advances in ShApes, Geometry, and Algebra
Book Subtitle: Results from the Marie Curie Initial Training Network
Editors: Tor Dokken, Georg Muntingh
Series Title: Geometry and Computing
DOI: https://doi.org/10.1007/978-3-319-08635-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Hardcover ISBN: 978-3-319-08634-7Published: 13 November 2014
Softcover ISBN: 978-3-319-35588-7Published: 23 August 2016
eBook ISBN: 978-3-319-08635-4Published: 24 October 2014
Series ISSN: 1866-6795
Series E-ISSN: 1866-6809
Edition Number: 1
Number of Pages: XIII, 323
Number of Illustrations: 25 b/w illustrations, 70 illustrations in colour
Topics: Geometry, Algebra, Mathematics of Computing, Computer-Aided Engineering (CAD, CAE) and Design, Mathematical Modeling and Industrial Mathematics