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Topics in algebraic geometry and geometric modeling : Workshop on Algebraic Geometry and Geometric Modeling, July 29-August 2, 2002, Vilnius University, Vilnius, Lithuania / Ron Goldman, Rimvydas Krasauskas, editors.
Math/Physics/Astronomy Library QA565 .W76 2002
Available
- Format:
- Book
- Conference/Event
- Conference Name:
- Workshop on Algebraic Geometry and Geometric Modeling (2002 : Vilnius University)
- Series:
- Contemporary mathematics (American Mathematical Society) ; 334.
- Contemporary mathematics ; 334
- Language:
- English
- Subjects (All):
- Curves on surfaces--Mathematical models--Congresses.
- Curves on surfaces.
- Geometry, Algebraic--Congresses.
- Geometry, Algebraic.
- Curves on surfaces--Mathematical models.
- Genre:
- Conference papers and proceedings.
- Physical Description:
- x, 366 pages : illustrations ; 26 cm.
- Place of Publication:
- Providence, R.I. : American Mathematical Society, [2003]
- Contents:
- Modeling Curves and Surfaces
- Polar forms in geometric modeling and algebraic geometry / Ron Goldman 3
- Interference analysis of conics and quadrics / Wenping Wang, Rimvydas Krasauskas 25
- Geometrically continuous octahedron / Raimundas Vidunas 37
- Multisided Patches
- Smoothness, fairness and the need for better multi-sided patches / Jorg Peters 55
- Toric Bezier patches with depth / Rimvydas Krasauskas, Ron Goldman 65
- On the uniqueness of barycentric coordinates / Joe Warren 93
- Rational M-patches and tensor-border patches / Kestutis Karciauskas 101
- Implicitization and Parametrization
- Curves, surfaces, and syzygies / David Cox 131
- Implicitizing rational surfaces with base points using the method of moving surfaces / Jianmin Zheng, Thomas W. Sederberg, Eng-Wee Chionh, David A. Cox 151
- Overview of approximate implicitization / Tor Dokken, Jan Brede Thomassen 169
- Algorithms for rational surfaces / Josef Schicho 185
- Toric Varieties
- What is a toric variety? / David Cox 203
- Toric ideals, real toric varieties, and the moment map / Frank Sottile 225
- Universal rational parametrizations and toric varieties / David Cox, Rimvydas Krasauskas, Mircea Mustata 241
- Real structures on smooth compact toric surfaces / Claire Delaunay 267
- Mixed Volume and Resultants
- Why polyhedra matter in non-linear equation solving / J. Maurice Rojas 293
- Using projection operators in computer aided geometric design / Laurent Buse, Mohamed Elkadi, Bernard Mourrain 321
- On combinatorial coefficients and the Gelfond-Khovanskii residue formula / Ivan Soprounov 343
- On the determination of the degree of an equation obtained by elimination / Ferdinand Minding 351.
- Notes:
- Includes bibliographical references and index.
- ISBN:
- 0821834207
- OCLC:
- 53019300
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