Algebraic Geometry and Geometric Modeling

Algebraic Geometry and Geometric Modeling edited by Mohamed Elkadi, Bernard Mourrain, Ragni Piene.

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...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Elkadi, Mohamed (Editor), Mourrain, Bernard (Editor), Piene, Ragni (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edition:1st ed. 2006.
Series:Mathematics and Visualization,
Springer eBook Collection.
Subjects:
Algebraic geometry.
Mathematical models.
Computer science—Mathematics.
Applied mathematics.
Engineering mathematics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 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.

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