Page 7 - Geometric Modeling and Algebraic Geometry

Contents

Part I Survey of the European project GAIA II

1 The GAIA Project on Intersection and Implicitization
T. Dokken ....................................................... 5

Part II Some special algebraic surfaces

2 Some Covariants Related to Steiner Surfaces
F. Aries, E. Briand, C. Bruchou ...................................... 31

3 Real Line Arrangements
and Surfaces with Many Real Nodes
S. Breske, O. Labs, D. van Straten .................................... 47
4 Monoid Hypersurfaces
P. H. Johansen, M. Løberg, R. Piene .................................. 55
5 Canal Surfaces Defined by Quadratic Families of Spheres
R. Krasauskas, S. Zube ............................................. 79
6 General Classification of (1,2) Parametric Surfaces in P 3
T.-H. Lˆ e, A. Galligo ................................................ 93

Part III Algorithms for geometric computing

7 Curve Parametrization over Optimal Field Extensions
Exploiting the Newton Polygon
T. Beck, J. Schicho ................................................. 119
8 Ridges and Umbilics of Polynomial Parametric Surfaces
F. Cazals, J.-C. Faug` ere, M. Pouget, F. Rouillier ......................... 141