Algebraic Geometry and Geometric Modeling

• Corporate Author: SpringerLink (Online service)
• Other Authors: Elkadi, Mohamed (Editor), Mourrain, Bernard (Editor), Piene, Ragni (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Series: Mathematics and Visualization,
• Subjects: Mathematics.; Computer science > Mathematics.; Algebraic geometry.; Mathematical models.; Applied mathematics.; Engineering mathematics.; Algebraic Geometry.; Mathematical Modeling and Industrial Mathematics.; Math Applications in Computer Science.; Appl.Mathematics/Computational Methods of Engineering.
• Physical Description: X, 252 p. 52 illus., 27 illus. in color. online resource.
• ISBN: 9783540332756
• ISSN: 1612-3786

Algebraic Geometry provides an impressive theory targeting the understanding of geometric objects defined algebraically. Geometric Modeling uses every day, in order to solve practical and difficult problems, digital shapes based on algebraic models. In this book, we have collected articles bridging these two areas. The confrontation of the different points of view results in a better analysis of what the key challenges are and how they can be met. We focus on the following important classes of problems: implicitization, classification, and intersection. The combination of illustrative pictures, explicit computations and review articles will help the reader to handle these subjects.