Algebraic Geometry and Geometric Modeling (Mathematics and Visualization)
Contributors: Mohamed Elkadi (Editor); Bernard Mourrain (Editor); Ragni Piene (Editor)
Edition: 1 edition
Publisher: Springer
Published: October 19, 2006
Language: eng
Format: Hardcover
Number of pages: 252
ISBN-13: 9783540332749
Subjects: Mathematics; Geometry - Algebraic; Computer Books: General; Computers; Applied; Computer Science; Mathematics / Geometry / Algebraic; algebraic computation; implicitization; singularity; symbolic-numeric computation; topology; Congresses; Curves on surfaces; Data processing; Geometry; Geometry, Algebraic; Mathematical models
Description: 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.