SAGA - Advances in Shapes, Geometry, and Algebra
Subtitle: Results from the Marie Curie Initial Training Network
Publisher: Springer
Published: 2014
Language: eng
Number of pages: 323
ISBN-13: 9783319086347
Subjects: Geometry; Algebra
Description: 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.