Geometric Modeling and Algebraic Geometry

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Jüttler, Bert (Επιμελητής έκδοσης), Piene, Ragni (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Θέματα: Mathematics.; Computer graphics.; Algebraic geometry.; Visualization.; Mathematical models.; Computational intelligence.; Algebraic Geometry.; Mathematical Modeling and Industrial Mathematics.; Computer Graphics.; Computational Intelligence.

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...

Πίνακας περιεχομένων:

• 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.