Ebook: SAGA - Advances in ShApes, Geometry, and Algebra: Results from the Marie Curie Initial Training Network
Author: Tor Dokken Georg Muntingh
- Genre: Mathematics // Geometry and Topology
- Tags: Математика, Высшая геометрия
- Series: Geometry and Computing
- Year: 2014
- Publisher: Springer
- Edition: 2014
- Language: English
- pdf
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.