Geometric Modeling and Algebraic Geometry

Geometric Modeling and Algebraic Geometry edited by Bert Jüttler, Ragni Piene.

The two ?elds of Geometric Modeling and Algebraic Geometry, though closely - lated, are traditionally represented by two almost disjoint scienti?c communities. Both ?elds deal with objects de?ned by algebraic equations, but the objects are studied in different ways. While algebraic geometry has deve...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Jüttler, Bert (Editor), Piene, Ragni (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.
Edition:1st ed. 2008.
Series:Springer eBook Collection.
Subjects:
Algebraic geometry.
Mathematical models.
Computer graphics.
Mathematics.
Visualization.
Computational intelligence.
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:
  • Survey of the European project GAIA II
  • The GAIA Project on Intersection and Implicitization
  • Some special algebraic surfaces
  • Some Covariants Related to Steiner Surfaces
  • Real Line Arrangements and Surfaces with Many Real Nodes
  • Monoid Hypersurfaces
  • Canal Surfaces Defined by Quadratic Families of Spheres
  • General Classification of (1,2) Parametric Surfaces in ?3
  • Algorithms for geometric computing
  • Curve Parametrization over Optimal Field Extensions Exploiting the Newton Polygon
  • Ridges and Umbilics of Polynomial Parametric Surfaces
  • Intersecting Biquadratic Bézier Surface Patches
  • Cube Decompositions by Eigenvectors of Quadratic Multivariate Splines
  • Subdivision Methods for the Topology of 2d and 3d Implicit Curves
  • Approximate Implicitization of Space Curves and of Surfaces of Revolution.

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