Geometric modeling and algebraic geometry
著者
書誌事項
Geometric modeling and algebraic geometry
Springer Verlag, c2008
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
Geometric Modeling and Algebraic Geometry, though closely related, are traditionally represented by two almost disjoint scientific communities. Both fields deal with objects defined by algebraic equations, but the objects are studied in different ways. In 12 chapters written by leading experts, this book presents recent results which rely on the interaction of both fields. Some of these results have been obtained from a major European project in geometric modeling.
目次
Table of Contents Part I Survey of the European project GAIA II 1 The GAIA Project on Intersection and Implicitization
T Dokken
Part II Some special algebraic surfaces 2 Some Covariants Related to Steiner Surfaces
F Aries, E Briand, C Bruchou
3 Real Line Arrangements and Surfaces with Many Real Nodes
S Breske, O Labs, D van Straten
4 Monoid Hypersurfaces
P H Johansen, M Loeberg, R Piene
5 Canal Surfaces Defined by Quadratic Families of Spheres
R Krasauskas, S Zube
6 General Classification of (1,2) Parametric Surfaces in P3
Thi-Ha Le, Andre Galligo
Part III Algorithms for geometric computing 7 Curve Parametrization over Optimal Field Extensions Exploiting the
Newton Polygon
T Beck, J Schicho 8 Ridges and Umbilics of Polynomial Parametric Surfaces
F Cazals, J C Faugere, M Pouget, F Rouillier 9 Intersecting Biquadratic Bezier Surface Patches
S Chau, M Oberneder, A Galligo, B Juettler 10 Cube Decompositions by Eigenvectors of Quadratic Multivariate
Splines
I Ivrissimtzis, H-P Seidel 11 Subdivision Methods for the Topology of 2d and 3d Implicit Curves
C Liang, B Mourrain, J P Pavone 12 Approximate Implicitization of Space Curves and of Surfaces of
Revolution
M Shalaby, B Juettler
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