SAGA - Advances in Shapes, Geometry, and 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.

subjects: Geometry,  Algebra,  Mathematics,  Computer-aided design,  Computer science,  Mathematics of Computing,  Computer-Aided Engineering (CAD, CAE) and Design,  Mathematical Modeling and Industrial Mathematics