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Topics in Algebraic Geometry and Geometric Modeling
About this Title
Ron Goldman and Rimvydas Krasauskas, Editors
Publication: Contemporary Mathematics
Publication Year:
2003; Volume 334
ISBNs: 978-0-8218-3420-6 (print); 978-0-8218-7924-5 (online)
DOI: https://doi.org/10.1090/conm/334
MathSciNet review: 2046835
ReadershipTable of Contents
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Front/Back Matter
- Ron Goldman – Polar forms in geometric modeling and algebraic geometry [MR 2039963]
- Wenping Wang and Rimvydas Krasauskas – Interference analysis of conics and quadrics [MR 2039964]
- Raimundas Vidūnas – Geometrically continuous octahedron [MR 2039965]
- Jörg Peters – Smoothness, fairness and the need for better multi-sided patches [MR 2039966]
- Rimvydas Krasauskas and Ron Goldman – Toric Bézier patches with depth [MR 2039967]
- Joe Warren – On the uniqueness of barycentric coordinates [MR 2039968]
- Kȩstutis Karčiauskas – Rational $M$-patches and tensor-border patches [MR 2039969]
Implicitization and Parametrization
- David Cox – Curves, surfaces, and syzygies [MR 2039970]
- Jianmin Zheng, Thomas W. Sederberg, Eng-Wee Chionh and David A. Cox – Implicitizing rational surfaces with base points using the method of moving surfaces [MR 2039971]
- Tor Dokken and Jan Brede Thomassen – Overview of approximate implicitization [MR 2039972]
- Josef Schicho – Algorithms for rational surfaces [MR 2039973]
- David Cox – What is a toric variety? [MR 2039974]
- Frank Sottile – Toric ideals, real toric varieties, and the moment map [MR 2039975]
- David Cox, Rimvydas Krasauskas and Mircea Mustaţǎ – Universal rational parametrizations and toric varieties [MR 2039976]
- Claire Delaunay – Real structures on smooth compact toric surfaces [MR 2039977]
- J. Maurice Rojas – Why polyhedra matter in non-linear equation solving [MR 2039978]
- Laurent Busé, Mohamed Elkadi and Bernard Mourrain – Using projection operators in computer aided geometric design [MR 2039979]
- Ivan Soprounov – On combinatorial coefficients and the Gelfond-Khovanskii residue formula [MR 2039980]
- Ferdinand Minding – On the determination of the degree of an equation obtained by elimination [MR 2039981]