Algebraic Geometry and Geometric Modeling
1st Edition
Published on 19. September 2006
Book
Hardback
X, 252 pages
978-3-540-33274-9 (ISBN)
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.
More details
Series
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
25 s/w Abbildungen, 27 farbige Abbildungen
X, 252 p. 52 illus., 27 illus. in color.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 21 mm
Weight
613 gr
ISBN-13
978-3-540-33274-9 (9783540332749)
DOI
10.1007/978-3-540-33275-6
Schweitzer Classification
Other editions
Additional editions
Mohamed Elkadi | Bernard Mourrain | Ragni Piene
Algebraic Geometry and Geometric Modeling
Book
11/2010
Springer
€192.59
Shipment within 7-9 days
Mohamed Elkadi | Bernard Mourrain | Ragni Piene
Algebraic Geometry and Geometric Modeling
E-Book
11/2006
1st Edition
Springer
€181.89
Available for download
Content
Algebraic geometry and geometric modeling: insight and computation.- Implicitization using approximation complexes.- Piecewise approximate implicitization: experiments using industrial data.- Computing with parameterized varieties.- Implicitization and Distance Bounds.- Singularities and their deformations: how they change the shape and view of objects.- Overview of topological properties of real algebraic surfaces.- Illustrating the classification of real cubic surfaces.- Bézier patches on almost toric surfaces.- On parametric surfaces of low degree in P3(C).- On the intersection with revolution and canal surfaces.- A sampling algorithm computing self-intersections of parametric surfaces.- Elimination in generically rigid 3D geometric constraint systems.- Minkowski decomposition of convex lattice polygons.- Reducing the number of variables of a polynomial.