Geometric Modeling and Algebraic Geometry

The book "Geometric Modeling and Algebraic Geometry" offers a comprehensive examination of the two closely related fields of geometric modeling and algebraic geometry. These disciplines, although traditionally represented by different scientific communities, both deal with objects defined by algebraic equations. While algebraic geometry focuses on the theoretical aspects of these objects, geometric modeling emphasizes practical applications and virtual shapes. In recent years, the interaction between these two areas has led to new research approaches, particularly regarding algorithms for solving intersection problems. The revised contributions included in this volume stem from a workshop held in Oslo in 2005, which addressed the results of the European project GAIA II. This book is a valuable resource for professionals and students interested in the interface between theory and application in mathematics.