Algebraic Geometry and Geometric Modeling (Mathematics and Visualization) - Hardcover

Hardcover

ISBN 10: 354033274X ISBN 13: 9783540332749

Publisher: Springer, 2006

Synopsis

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.

About this title

Product Description

This book spans the distance between algebraic descriptions of geometric objects and the rendering of digital geometric shapes based on algebraic models. These contrasting points of view inspire a thorough analysis of the key challenges and how they are met. The articles focus on important classes of problems: implicitization, classification, and intersection. Combining illustrative graphics, computations and review articles this book helps the reader gain a firm practical grasp of these subjects.

Edition details

• Publisher: Springer
• Publication date: 2006
• Language: English
• ISBN 10: 354033274X
• ISBN 13: 9783540332749
• Binding: Hardcover
• Number of pages: 262
• Editor: Elkadi Mohamed, Mourrain Bernard, Piene Ragni